WORKSHEET NEW COUNTDOWN SECOND EDITION OXFORD CLASS 4
WORKSHEET NEW COUNTDOWN SECOND EDITION OXFORD CLASS 4
PART ONE:
NUMBERS Getting ready 5Digit Numbers: Notation 5Digit Numbers: Place Value Introducing One Lakh One Lakh Equals One Hundred Thousand International Place Value: 6Digit Numbers 
110

THE FOUR OPERATIONS
5Digit and 6Digit Numbers Addition: 5Digit and 6Digit Numbers Subtraction: 5Digit and 6Digit Numbers Addition and Subtraction Welcome to Multiplication Hall! Multiplication Multiplication by IO and Its Multiples Multiplying by 2Digit Numbers Multiplication: Some New Words Multiplicands of 4 Digits and Multipliers of 3 Digits Review Multiplication and Division with Bigger Numbers Division with Bigger Numbers Divisors with 2 Digits Dividends with 4 Digits Multiply to Check! Using Division in Word Problems Dividing by I0 and Its Multiples Review 
1133 
THE UNITARY METHOD
Thinking and Solving Remembering the Calendar

3435 
TIME
Time Using Timetables Playing with Time: Conversion Conversion: Minutes and Seconds Playing with Time: Word Problems Review 
3645 
PART TWO
LCM AND HCF More about Multiples 46 Common Multiples: The Venn Diagram 47 Lowest Common Multiple (LCM) 48 Introducing Factors 49 More about Factors: Common Factors and HCF 50 CoPrime Numbers 51 Thinking about Prime Numbers 52 Prime Numbers and Composite Numbers 53 Prime Factorization 55 Tests of Divisibility 56 The LCM and HCF of Larger Numbers: The Division Method 57 Review 59 
4660 
FRACTIONS
Remembering Fractions 61 More about Equivalent Fractions 62 Reducing Equivalent Fractions 63 Remembering Like and Unlike Fractions 65 Proper and Improper Fractions 66 Mixed Numbers and Improper Fractions 67 Fractions and Division 70 Comparing Fractions: The Common Denominator 71 Addition of Fractions . 73 Addition of Mixed Numbers 74 Subtraction of Fractions 75 Subtraction of Mixed Numbers 76 Review 78 
6179 
AREA AND PERIMETER
More about Shapes: Surface and Area 80 Comparison of Areas 8 Area: Square Centimeters 84 Area and Perimeter 85 Review 88 
8088 
PART THREE
DECIMALS Thinking about Decimals 89 Number Line, Decimal Point, and the Four Operations 92 Tenths and Hundredths Q6 Decimals and Fractions 99 Decimals and Money I00 Decimals and Money: The Four Operations 101 Decimals and Money: More about Bills Decimals: Metres and Centimetres Decimals and Metres: The Four Operations Decimal Fun Page! Decimals: Tenths, Hundredths, and Thousandths Tenths, Hundredths, and Thousandths Thinking about Decimal Places , More about Decimals and Fractions Review

89111 
MEASUREMENT
Decimals and Measurement Sid’s History of the Metric System Decimals and Measurement: The Metric System The Metric System Metric Word Problems Review 
112120 
GEOMETRY
Looking at Lines Thinking about Turning Making Angles Finding the Right Angle! Angles, Degrees, and the Protractor Using the Protractor More about Triangles Triangles and Their Angles Angles in Triangle Angles in a Quadrilateral More about Quadrilaterals Perpendicular Line 
121137 
GRAPHS
Column Graphs More about Column Graphs The Pie Chart Review of the Year Meet Mick, Mandy, Meg, Mani, and Mona Worksheets Maths Lab Activities 
138155 
PAGE:1
Getting Ready
1.Magic Squares
 MATHS IN YOUR HEAD!
WORK OUT THESE SUMS IN YOUR HEAD, AND WRITE THE ANSWERS IN YOUR NOTEBOOK.
 100 less than 40188
 28 +——————– = 45
 Roman number tor 6 s
 3 hundreds minus 7 tens
 81 ——————=22
 Write in numerals: seven thousand and nine
 2 hour = minutes
 3 years = —————— months
 Roman number for 24
 Write the next number: 130, 1 10, 90, ——————
k –
 Write the missing numbers: I636, 1639, ——————, 1645 ——————
 The total cost of three ice creams at Rs 12 each.
 What is the cost of each pencil if 6 pencils cost Rs 36.60?
PAGE:2
GETTING READY
 WRITE IN WORDS.
 4157
 5012
 7408
 3001
 WRITE IN NUMBERS.
 nine thousand and nine
 five thousand and twentyfour
 seven thousand nine hundred and thirtyseven
 WRITE THE MISSING NUMBERS.
 —————— 8=I25
 450+——————=910
 580 ÷ 10=——————
 325cm=,m——————cm
 12 x ——————=6 x 8
 3660 ml =——————l——————ml
 9kg 7g=———g
 9m3cm=——–cm
 1h 45 min =————min
 600÷ 10 =10 x—————–
 GUESS WHICH LINE IS LONGER. THEN MEASURE EACH LINE AND WRITE THE LENGTHS IN CM.
 ß————————–à
 >—————————<
 DRAW THESE LINE SEGMENTS.
 AB=4 cm b. PQ=14cm
8 ANSWER THESE QUESTIONS.
 If I0 books cost Rs I540, how much does I book cost?
 If Rehan saves Rs_2Z1_5,.Qvery month, how much does he save in a year?
 If 4 boxes of equal weight weigh I kg 792 g altogether, how much does one box weigh?
 What is the largest number these numerals: 3, Q, 0, 8?
9 COPY AND MULTIPLY.
a. 197
X 24 
b. 248
X 33 

10 COPY AND DIVIDE.
a. 6/476

b. 8/592  C. 5/405 
11 COPY AND ADD.
a.

b.

c. +

d. +

12 WRITE FRACTIONS IN THE BLANKS.
a. , ,———,————, 
b. , , , ———,———– 
PAGE: 3
13 WRITE NUMBERS IN THE BLANKS.
a. 3779, 3789, ————–,————3819

b. 5702, 5802 , ————,————–6102

c. 1101 , 2101 ,—————, ———————, ——————–

14 COUNT BACKWARDS AND WRITE NUMBERS IN THE BLANKS.
984I, 9831, ———, ————, 9801
4394, 4294, ————, 4094,
6530, 6525,—————,—————–, 6510
7619, 7519, ——————,—————–,—————
15 WRITE THE PLACE VALUE OF 7 IN EACH OF THESE NUMBERS.
 675
 5687
 7002
16 WRITE IN EXPANDED FORM.
 5692
 8601
 4029
 1001
 3728
 6907
17 WRITE:
The largest 2digit number
The smallest 3digit number
The largest 3digit number
The smallest 4digit number
18 Using the digits 2, 5, 6, and ‘I, write as many 4digit numbers as you can. Which is the largest number you can write? Which is the smallest?
19 WRITE IN EXPANDED FORM.
7094………7000+O+90+4
a.8695
 3292
 9351
 5064
 3195
 7676
Using the digits I, 7, 3, and 8, write as many 4digit numbers as you can, making sure that each ’ number is placed in periods.
Then add the Largest number to the smallest number.
PAGE: 4 5DIGIT NUMBERS: NOTATION
1 WRITE THE NUMBER NAMES ( TWELVE THOUSAND 12,000)
 20,000
 80,000
 14,000
 57,000
2WRITE THE NUMBER, PLACING THE VCOMMA CORRECTLY.
eleven thousand . …………. . 11,000
 eighteen thousand……………………….
 twentythree thousand ……………….
 fortytwo thousand …………………….
 seventy thousand. ……………………
 fifty thousand ……………………………….
 fortyfour thousand …………………….
 PLACE THESE NUMBERS IN PERIODS AND WRITE THEIR NAMES.
84,067 . . . eightyfour thousand and sixtyseven
 23 124
 53400
 80964
 15 503
 1255O
 WRITE THE NUMBER, PLACING THE COMMA CORRECTLY.
* fortythree thousand, two hundred and ten 43,210
 eightyone thousand, six hundred and fortyseven
 nineteen thousand and twentyfive.
 Seventy thousand one hundred and sixteen
PAGE: 5
5DIGIT NUMBERS: PLACE VALUE
1 WRITE THE VALUE OF THE CIRCLED DIGIT.
48397 —9 tens or 90
 30,029
 27,090
c.17,00 5
 31,561
e.94617
 84,069
2 WRITE THE NUMBERS THAT MATCH THESE EXPANDED FORMS.
30,000 + 5000 + 800 + 20 + 6 …….35,826
90,000 + 2000 + 400
80,000 + 40 + 600 + 40+2
50,000+ 0+700+ 0+3
40,000 + 3000 + I00 + O + 0
70,000 + 0 + 0 +020 + 7
20,000 + 4000 + 300 + 0 + 9
60,000 + 8000 + 0 + 80 + 8
3 WRITE THESE NUMBERS IN EXPANDED FORM.
69,504—– 60,000 + 9000 +500 + 0 + 4
a.71,623
 82,590
 60,902
 14,075
 51,029
 10,503
g.40,505
 34,650
i.99,099
 12,470
4 WRITE THE PREDECESSOR OF EACH NUMBER.
56,800 ——56,700
a.85,487
 64,600
 16,0101
 32,4803
e.51,300
 99,000
 48290
 80,000
5 WRITE THE SUCCESSOR OF NUMBER.
30 999—— 31000
 42,489
 90,999
 70,609
 19,009
e.18,099
 10,000
 23,999
h.37,999
6 FILL IN <,>, OR =
47,204
80, 100 23,020 19,758 94,065 82, 1 93 34,201 10, 0 
42,704
80, 11 0 23,002 1 9,758 94,605 81,193 43,203 10,110 
PAGE: 6
INTRODUCING 0NE LAKH
1 WRITE THE NUMBER NAMES. (2,00,000 two lakh)
a.4,00,000
 7,00,000
 5,00,000
 H,00,000
2 WRITE THE NUMBER, PLACING YOUR COMMAS CORRECTLY. (five Lakh 5,00,000)
 three Lakh
 nine lakh
 one Lakh
 twelve Lakh
3 ADD THE MISSING COMMAS (405962 — 4,05,962)
 340816
 290062
 900700
 3010 10
4 PLACE THESE 6DIGIT NUMBERS IN PERIODS AND WRITE THEIR NAMES.
4,60,293 four lakh, sixty thousand, two hundred and ninetythree
 5 1 0937
 906403
c.19602 1
 240682
5 WRITE THE NUMBER, PLACING YOUR COMMAS CORRECTLY.
three Lakh, eightytwo thousand and twentyseven 3,82,027
five Lakh, nineteen V thousand, three hundred and two
nine lakh, two thousand, five hundred and sixteen
four Lakh, nine hundred and fiftyone
PAGE: 7
ONE LAKH EQUALS ONE HUNDRED THOUSAND
1 PLACE THESE 6DIGIT NUMBERS IN PENODS, FHSTH1THE PAKISTANI WAG AND THEN IN THE INTERNATIONAL WAG. 639243 (I) 6,39,243 (2) 639,243
 854020
 405300
 703 1 64
 162802
 300698
 820036
2 WRITE THESE NUMBERS ACCORDING TO INTERNATIONAL PERIODS. 6,01,584 601,584
 7,53,028
 2,70,042
 4,00,028
 9,09,510
3 CHANGE THESE NUMBERS ACCORDING TO PAKISTANI PERIODS. 758,06 I 7,58,06 I
 104,695
 450,104
 500,629
 642,003
4 WRITE THE NUMBER NAMES 638,342 SIX HUNDRED AND THIRTYEIGHT THOUSAND, NINE HUNDRED AND FORTYTWO
 422,3 1 8
 909,999
 351,602
 500,384
5 WRITE THE NUMBERS, PLACING YOUR COMMAS CORRECTLG. FIVE HUNDRED AND TWENTG THOUSAND, SIX HUNDRED AND THIRTYONE 520,631
 four hundred and thirtyeight thousand, one hundred and eighteen
 six hundred and ninetynine thousand, five hundred and seventy
PAGE: 8
INTERNATIONAL PLACE VALUE: 6DIGIT NUMBERS
1 WRITE THE VALUE OF THE CIRCLED DIGIT.
54,629—– five hundred thousand or 500,000
 629,30 I
 205,4 83
 730, 598
 800,269
2 WRITE THE NUMBERS THAT MATCH THESE EXPANDED FORMS
600,000 + 20,000 + 8000 + 400 + 60 + 0 —– 628,460
 700,000 + 50,000 +1000+ 300 + 0 + 8
 100,000 + 90,000 +0+ 200 + 90 + 3
 500,000 + 70,000 +800+ 0 + 50 + 2
 400,000 + 0 +9000+ 600 + 80 + 5
 200,000 + 60,000 + 700 + 40 + 0
 300,000 + 10,000 +5000+ I00 + 0 + 6
 300,000 + 10,000 +5000+ 900 + 90 + 9
 800,000 + 70,000 + I00 + 70,000 +2000+100+70+ 9
3 WRITE THESE NUMBERS IN EXPANDED FORM.
691,053——— 600,000 + 90,000 + 1000+0+50+3
 752,9
 120,640
 804,623
 358,037
e.950,85 1
 606,666
4WRITE THE SUCCESSOR OF EACH NUMBER. 151,999 152,000
 484,303
 399,998
 502,999
 246, 1 89
5 WRITE THE PREDECESSOR OF EACH NUMBER. 380,000 —— 379,999
 963,380
 102, 100
 593,000
 899,090
6WRITE IN NUMBERS.
seven hundred and fifty thousand and sixty ——–750,060 ,
 one hundred and fortyeight thousand, four hundred and twelve
 two hundred and thirty thousand and six
 six hundred and two thousand, five hundred and seventy
PAGE: 9
INTERNATIONAL PLACE VALUE: 6DIGIT NUMBERS
7 FIND THE VALUE OF THESE EXPANDED FORMS.
600,000 + 30,000 + 7000 + 50 + 7 —— 637,057
 100,000 + 20,000 + 5000 + 400 + 20 + 6
 200,000 + 40,000 + 7000 + 300 + 7
8 WRITE NUMBERS IN THE BLANKS.
444,4q6 = 400,000 + —————+4000+400+—+6
40,000 and 90
 326,41 1 = ————+ 20,000 + 6000 + ————+ 10 + 1
 560,312 = ————– + 60,000 + 3000 +————– + ————–
 843,029 = 800,000 +——————— +3000 +—————– + 9
 305,699 = 300,000 + ——————– + _ + 90 + 9
 999,999=————– + ————— + ————— +900 + ————– + ———
 480,003 = ———— + 80,000 + —————
9 FILL IN < , > OR = ( 240,000 > 24,000 )
870, 500
12 1,500
199,584
158,603
305,001
10 ARRANGE IN ASCENDING ORDER
140,040 ; 104,440 ; 114,004 ; 4 1 0,440
…I04,440 ; 114,004 ; 140,040 ; 4 I 0,440
 502,398; 205,938; 520,480 ; 501,695
462,591; 642,589; 458,431;824,951 ; 824,941
10,000; 100,899; 101,010 ; I00,901; 101,100
384,029; 348,290; 388,420 ; 346,999
I25,456; I24,546; 142,456 ; 124,654 ; 125,556
PAGE: 10
5DIGIT & 6DIGIT NUMBERS
1 COUNTING IN HUNDREDS, WRITE NUMBERS IN THE BLANKS.
97,000;————— ; ———; ——
97,100; 97,200; Q7,300
102,700; 102,800; ————–;
385,800; _________ ; _______ ; 386,100
422,900; _________ ; _________ ; _______ ;
909,800; ————— ; —————; 910,100; —————
2 COUNTING IN THOUSANDS, WRITE NUMBERS IN THE BLANKS.
98,000;———— ;—————; 101,000 —————99, 000; 100,000
79,800; 80,800; ————–; 82,800
1144,250; ———–; 116,250; 0
506,499; ———–;—————; , 50Q,LIQQ;
3 CIRCLE THE LARGEST NUMBER. 602,189; 620,198; 620,199
 405,613; 406,513; 401,563
 739,468; 739,648; 739,486
 249,406; 249,946; 249,046
 101,321; 110,123; 111,032
 850,050; 805,550; 850,005
4 ARRANGE IN” DESCENDING ORDER.
584,622; 5Q4,266; 604,626; 464,226 —— 604,626; 504,266; 584,622 ; 464,226
 48,504; 48,450; 47,950; 48,5 54
 103,952; 130,995; 113,005 ; 133,050
 465,0 1 5; 456, 1 50; 486,952 ; 406,250
 998,889; 989,980; 989,990 ; 999,808; 909,898
 26,103; 26,301; 26,113; 26,331; 26,003
5 LOOK AT THE NUMBERS, THEN REARRANGE THE DIGITS TO FORM (A) THE SMALLEST AND (B) THE LARGEST POSSIBLE NUMBER.
142,657——(A) 124,567
(B) 765,421
 1 35,027
 989,884
 1 78,964
 625,589
 24 1 ,698
 78,463
 234,580
 848,332
PAGE: 11
ADDITION: 5DIGIT AND 6DIGIT NUMBERS
1 WRITE VERTICALLY AND ADD
a. 6382 + 465 + I496  b. 2477 + 3Iq3 + I568 

2 ADD THESE TO FIND THE ODD ANSWER OUT’ IN EACH GROUP OF SUMS.
a (i) 375 + 405 + 163
(ii) 5 I 6 + 185 + 252
(iii) I04 +142 +697
b (i) 173 +254 +385
(ii) 478 +136 +188
(iii) 116 +549 +137
 COPY AND COMPLETE.
a. 43,846 + 35,017

b. 753,865 + 169,530

C. 465,357 + 32,986 
d. 329,436 + 281,274

3 FIND THE NUMERALS TO REPLACE THE * IN EACH SUM.
5 * 6
1 3 * * 4 2 

1099  
a.
5 1 * * 4 2 4 * 2 
b.
* 3 2 2 * 3 6 1 * 
1257  1186 
c. 8 *5
32 * *43 
d.
4 * 2 * 6 3 6 1 * 
1298  1797 
5 WRITE VERTICALLY AND ADD (BE CAREFUL WITH THE COLUMNSL).
a. 24,639 + 10,251

b. 50,466 + 18,974 
c. 2,16,154 + 1,58,309

d. 14,838 +249,501 + 108,633 
e. 3,16,010 + 1,87,684 + 3472

f. 204,469 + 20,496 + 2460 
6 WRITE THE NUMBER WHICH IS:
500 more than 16,100 ———–16,600
200 more than 1,25,000
I000 more than 200,000
900 more than 4,60,100
400 more than 509,600
PAGE: 12
SUBTRACTION: 5DIGIT AND 6=DIGIT NUMBERS
1 WRITE VERTICALLY AND SUBTRACT.
a. 1401 – 758

b. 6008 – 4739 
c. 8003 – 5626

d. 3600 – 1498 
2 WRITE THE NUMBER WHICH IS: 200 Less than 1100—– 900
 500 Less than 3160
 l000 less than 9686
4 COPY AND SUBTRACT, THEN CHECK.
8,45,289 2,24,28 I – 6,2 I ,008 +6,2 I ,008
2,24,28 I 8,45,Z89
 7,46,389 b. I,05,003
– 94,247 87,675
 5,02,395 d. 7,62,043
– I,49, I46 – 5,0°I,567
3 WRITE THE NUMBERS TO REPLACE THE * IN EACH SUM
a.
* 8 7 * – 3 * * 2 
8985
6362 
b.
4**9 – *25* 

2623  2623  
c.
*9*8 – 5*2* 
d.
6 * 9 * * 5 * 0 

3408 
5 WRITE THESE VERTICALLY AND SUBTRACT. THEN CHECK BY ADDITION!
a. 36,738 – 1 2,849

b. 256,704 – 103,028

c. 2,00,03 1 – 1,89,764

d. 500,000 – 360,824

e. 750,000 – 1 25,255


6 SUBTRACT I00 FROM EACH NUMBER.
a. 1,46,952

b. 500,000  c. 305, 103  d. 810,000 
7 SUBTRACT 500 FROM EACH NUMBER.
a. 385,620

b. 284,320

c. 505,400  d. 69,0 I 0

PAGE: 13
ADDITION AND SUBTRACTION
1 WORD PROBLEMS
READ THE PROBLEMS CAREFULLY.
Decide whether you should add or subtract to solve them. Then work them out, making complete statements.
 A factory made 64,750 jute bags on Monday and 51,060 more on Tuesday.
How many bags were made altogether?
 In and election, M; Kamal got l,56,720 votes’ and Mrs Abid got 1,58,986 votes. Who got more votes? How many more?
 A library has 46,918 books in English and l,O8,625 books in Urdu. What is the total
number of books?
 A shopkeeper earns Rs 170,920 in one year. If his expenses for the year are Rs 129,486, how much money does he save in a year?
 Find the difference between the largest 4digit number and the smallest 6digit number.
 A man bought a house for Rs 9,56,780. He sold it for Rs 1,20,000 less than the cost price. How much did he sell the house for?
 BRUSH UP YOUR BRAINS!
SOLVE THESE QUICKLY IN YOUR HEAD. THEN WRITE THE ANSWERS IN YOUR NOTEBOOK.
 12,500 – ? = 5600
 I00 more than 99,990 equals – .
 10,000 + 6000 + Q00 + 5 =
 In 129,564, the 2 stands for ——————————
 49,396 – ? = 10,086
 What must be added to 100,050 to make lO2,550?
 564+21050 =—————
 A school needs Rs 4,00,000 for a new building. The children collect Rs l,50,000. How much more money must be collected?
 The largest 5digit number plus the smallest 4digit number equals ———.
 280 – 400+35 = ———————
PAGE: 14
WELCOME TO MULTIPLICATON!
PAGE: 15
MULTIPLICATON
 COPY AND MULTIPLY.
a. 115
X 6 
b. 264
X I8 
c. 569
X 5 


d. 708
X 9 
e. 573
X I6 
f. 451
x22 

 SOLVE THE WORD PROBLEMS, MAKING COMPLETE STATEMENTS
 If one book of stickers contains 78 stickers, how many stickers will there be in 5 books?
 If a bar of soap costs Rs 49, how much will 6 such bars cost?
 There are I45 mangoes in one basket. How many mangoes are there in 32 baskets?
 48 chalk sticks are packed in one box. How many sticks in 26 such boxes?
 How many minutes are there in I7 hours?
 25 boxes are loaded on 0 truck. If each box weighs 22 kg, what is the total weight of the Load?
 A can of oil costs Rs 60.50 If the Zaid family bugs 4 cans, how much will their bill be?
3 WRITE VERTICALLY AND MULTIPLY.
A
B C D E F G H I J K L M N O P Q R 
I078
1964 360 18 65 39 2382 452 325 252 57 83 I05 261 300 372 169 416 
X
X X X x X X X X X X X X X X X X X 
7
3 10 70 80 100 4 20 15 6 14 22 35 18 26 15 24 42 
=
= = = = = = = = = = = = = = = = = 

PAGE: 16
MULTIPLICATION BY I0 AND ITS MULTIPLES
1 MULTIPLY BY I0. (340 x 10 —–3400)
 581
 9123
 629
 7082
2 MULTIPLY BY I00. (I63 X I00 —– l6,300)
 475
 5692
3 MULTIPLY BY I000. (400 x I000 490.006)
 582
 205
4 MULTIPLY BY I0,000. (78 x I0,000 —–780,00)
 19
 95
5 FILL IN THE BLANKS.
A  16  X  =  16,000  
B  290  X  =  2,900  
C  X  1000  =  480,000  
D  56  X  10,000  =  
E  78  X  =  780,000  
F  X  10,000  =  670,000 
6 CHANGE M INTO CM.
(I m= I00 cm)
 7000 m
 4960 m
PAGE: 17
MULTIPLICATION BY I0 AND ITS MULTIPLES
 NOW MULTIPLY THESE NUMBERS.
 27 X 200
 24 x 6000
 22 X 9000
 51 X 70
 38 X 7000
 87 X 2000
PAGE: 18
MULTIPLICATION BY I0 AND ITS MULTIPLES
 SOLVE THESE.
a. 54×300  b. 48x 3000

c. 4I5x600  d. 25×20,000

 I HOUR = 60 MIN. FIND OUT HOW MANY MINUTES IN:
a. 5hours (h)  b. 32h

c. 21 h  d. 36h

I0. THERE ARE 50 PEOPLE IN THIS BUS (INCLUDING THE DRIVER). FIND OUT HOW MANY PEOPLE IN:
FIND OUT HOW MANY PEOPLE IN:
a. I6 buses  b. I02 buses

c. 98 buses  d. I000 buses

I I. MULTIPLY EACH NUMBER BY 40, THEN BY 400, THEN BY 4000.
 28
 I20
 83
 I33
I2. I m =, I00 cm. Convert m into cm in the following: (580 m = 58,000 cm)
 630 m
 I200 m
 84 m
 382I m
 I km = I000 m. Convert km into m in the following: ( 6 km = I6,000 m)
 47 km
 309 km
 100 km
 4 km
I4. 1 kg = I000 g. Convert kg into g in the following: (129 kg = 129,000 g)
 560 kg
 999 kg
 111 kg
 4q3 kg
I5. 1 L = I000 ml. Convert l into ml in the following: ( 295 l = 295,000 ml)
 141 L
 902 L
 39 L
 800L
PAGE: 19
MULTIPLYING BY 2DIGIT NUMBERS
 COPY AND MULTIPLY. BE CAREFUL WITH YOUR COLUMNS!
a. 643
x72 
b. 305
x64 
c. 865
x 28 
d. 996
x 37 
e. 487
x53 
f. 408
x 93 
 WRITE VERTICALLY AND MULTIPLY.
a. 749 x62  b. 643 x59  c. 816 x 94 


d. 838 x 67  e. 567 x 81  f. 950 x 48 

3 SOLVE THE WORD PROBLEMS, MAKING COMPLETE STATEMENTS.
 A train in Germany travels 528 km in one hour. How far will it travel in 24 hours?
 A machine in a factory makes 615 togs every day. How many togs will it make in 6 weeks?
 If 48 mangoes are packed in 1 box, how many mangoes are there in 650 such boxes?
 A room in Hotel Palm Magic costs Rs Q52 per night. If all 58 rooms are occupied, how much money will the hotel manager collect in one night?
 If Sohail runs 650 m every morning, how many metres will he gun in 5 weeks of ‘
daily training?
PAGE: 20
MULTIPLICATION: SOME NEW WORDS
 COPY AND MULTIPLY THE FOLLOWING. THEN LABEL THEM
462 — multiplicand 
X 75 —— multiplier 
2310 
32340 ———–product 
a. 619
x 77 
b. 964
x 79 
C. 385
X 47 
d. 474
X 36 
2 WRITE SUMS TO MATCH THESE WORDS. THEN SOLVE THEM.
Multiplier 62, multiplicand
416 6 4l6 x 62 25792 
a. Multiplicand 82,
multiplier I6

b. Multiplicand I76,
multiplier 10

c. Multiplicand 3¢i5,
multiplier 72

3 WRITE THESE VERTICALLY AND MUTIPG THEM. THEN LABEL THEIR PARTS.
a. 648 X 52  b. 783 X 89 


c. 7351 X 69  d. 650 X Q5 

4 SOLVE THESE SUMS IN YOUR HEAD. THEN JOIN THEM TO THE CORRECT PRODUCT.
Products  
a) 120 x 40
b) 36 x 500 c) 115 x 200 d) 81 x 60 e) 500 x 500 f) 42 x 30 g) 15 x 70 h) 430 x 50 
1. 1260
2. 4800 3. 1800 4. 4860 5. 23000 6. 250000 7. 21500 8. 1050 
PAGE: 21
MULTIPLICANDS OF 4 DIGITS AND MULTIPLIERS OF 3 DIGITS
NOW COPY AND MULTIPLY THESE. BE CAREFUL WITH YOUR COLUMNS.
a. 1 634
X24 
b. 3472
X48 

3 COPY AND MULTIPLY. BE SURE TO WRITE YOUR COLUMNS L CAREFULLY.
a. 356
X142 
b. 2l8
X208 

2 SOLVE THESE WORD PROBLEMS, MAKING COMPLETE STATEMENTS
a. A leaking tap wastes 3750 ml of water in I hour. How
much water will be wasted in a day? 

b. Rehan found out that he
can save 4726 ml of water every day by not Leaving the tap open continuously, duringhis bath. How much water can be saved in 25¢ days in this manner? 

c. There are I440 minutes in a
day. How many minutes are there in 8 weeks?


4 WRITE SUMS TO MATCH THE WORDS, THEN SOLVE THEM.
Multiplicand 226,
multiplier 483
226
X 483
l09l58
Multiplicand 381
multiplier 422

Multiplier 604,
multiplicand 304

5 SOLVE THESE IN YOUR HEAD!
a. 84 X 200  b. 763 X 400  c. 483 X I00 
d. 258 X 900  e. 834 X 300  f. 582 X 700 
PAGE: 22
REVIEW
Copg the sums, then ﬁll in the missing signs, x or +.
QEI 7= 63
84E2= 7
6O§l0= 6
4O§l4=56O
PPP”?
Copy and complete.
t I40 + 2 = 70
Cl. 300 1 6 b. 750 +
 I60 + 8 d. 630 +
Write the number that is:
I ,
i 3 of Q 3
~
<1. %<>f24 b. £3of36
Write the missing quotients
 360 + q
 6400 : 8
 480 + 6
Find the missing dividends
2
8
q
0. +5
 +8
 I5
 %of27 d ‘
Solve these word problems
Ci. How mung nines are there
in eightyone?
 If six pencils cost Rs 36 how
much does one pencil cost?
Solve the following
5 b
8
Divide these numbers by I0
 0O0I
 7200+
t 47…4r7
0. 50 b 574
 20 d. O
Find the missing divisors
 I0‘
 45+
 56+
10 WRITE THESE SUMS IN LONG DIVISION FORM, THEN COMPLETE
 Dividend 437, divisor 7
 Divisor 8, dividend I44
 Dividend 32, divisor 8
PAGE: 23
PAGE:24
Q1 USING THE CHART ON PAGE 23 COPY AND COMPLETE THE FOLLOWING.
14)408  16)931  C. 12) 269

D. 17) 695  E. 15)530  F.18)586

Q2:
Q3:
Q 4.SOLVE THE WORD PROBLEMS, MAKING COMPLETE STATEMENTS.
(a) In a relay race, I6 children
ran a total of 9600 m. How many metres did each child run? 
Solution:
Total children=16 Total race=9600m Each child ran= 9600÷16 =600 meters 
(b)A jug contains 1440 ml of
orange juice. If I2 children share the juice equally, how much does each child get? 
Solution:
Total children=12 Total juice=1440 ml Each child got= 1440÷12 =120 ml 
(c)If crayons are packed in
boxes of I6, how many boxes are needed to pack 4000 crayons? 
Solution:
Total boxes=16 Total crayons=4000 Each child ran= 4000÷16 =250 crayons 
(d)Rs 5530 is collected for 7
families whose homes have been damaged by floods. How much money will each family get? 
Solution:
Total families=7 Total money=Rs 5530 Each family got= 5530÷7 = Rs 790 
(e)Eleven children share the
first prize in a painting contest. If the prize money is Rs 5000, how much will each child get, and how much money will be left over? 
Solution:
Total children=11 Total money=Rs 5000 Each child got= 5000÷11 = Rs 454 left over =6 
Q5: WRITE DIVIDENDS IN THE BLANKS.
A  ——— ÷ 17 = 6 
B  ——— ÷ 4 = 12 
C  ——— ÷ 3 = 13 
D  ——— ÷ 15 = 7 
E  ——— ÷ 18 = 4 
f  ——— ÷ 6 = 11 
Q6:
Q7:
Q8:
Page:89
PART THREE
Q I. Work with the calculator and find the answers ‘for the following.
a. , , , , , , , , 
b. , 
c. , , , , , 
P:90
2WRITE THE COLOURED PORT OF THE SHAPE AS A FRACTION AN AS A DECIMAL
3 WRITE THESE FRACTIONS AS DECIMALS ?
4COPY THE SHAPES BELOW O squared paper then color as directed
P:91
 LOOK CAREFULLY AT THESE RULERS. WRITE THE COLOURED PART AS A FRACTION AND AS A DECIMAL.
WRITE THESE LENGTHS IN DESCENDING ORDER.
6.NOW LOOK AT THESE LONGER PIECES OF RULERS. WRITE THE COLOURED PART AS A FRACTION AND AS A DECIMAL.
WRITE THESE LENGTHS IN ASCENDING ORDER.
P:92
DECIMALS: LINE SEGMENTS AND NUMBER LINE
1MEASURE THESE LINES CAREFULLY WITH YOUR RULER, THEN WRITE THE LENGTH OF EACH LINE IN FOUR DIFFERENT WAYS, AS SHOWN.
4 cm 2 mm; 4 2/10 cm; 4.2 cm; 42 mm
2 IN YOUR NOTEBOOK, DRAW LINE SEGMENTS OF THESE LENGTHS IN ASCENDING ORDER.
BE VERY ACCURATE!
 PQ 1.2 cm
 YZ 0.8 cm
c.ST 4.3 cm
 EF 2.9 cm
e.CD 5.5 cm
 MN 5.I cm
 WX 3.7 cm
 UV I cm Q mm
3WRITE THESE AS FRACTIONS.
2.7  9.4  11.4  4.9  0.6  9.5 

4WRITE THE POSITION OF THE POINT FROM 0 ON EACH OF THESE NUMBER LINES
5WRITE THESE AS DECIMALS.

6THINK CAREFULLY, THEN WRITE THESE US DECIMALS AND FRACTIONS.
14 tenths …….1.4= 1 4/10
21 tenths
I8 tenths
21 tenths
P:93 DECIMALS:MORE ABOUT TENTHS
 IN YOUR NOTEBOOK, DRAW I0 SQUARES JUST LIKE THIS. THEN DIVIDE EACH SQUARE INTO I0 EQUAL STRIPS.
NOW COLOUR THE PART OF THE SQUARE INDICATED, AND WRITE THE CORRESPONDING FRACTION AND THE DECIMAL: (USE A NEW SQUARE FOR EACH.)
 0.4
 E
 one tenth
 five tenths
e.
 Q.6
 IN YOUR NOTEBOOK, COPY THE TABLE SHOWN BELOW (MAKING YOURS LONGER).
THEN PUT THE NUMBERS BELOW INTO YOUR TABLE (THE FIRST ONE HAS BEEN DONE FOR YOU IN THE
TABLE ABOVE.)
a. 283 3/10  b. 24 5/10 
P:94 DECIMALS: THE DECIMAL POINT, ADDITION, SUBTRACTION
9 WRITE THESE NUMBERS IN WORDS, THEN SAY THEM OUT LOUD.
 606.2
 1204.3
 495.8
 2619.6
 220.1
 3990.4
 899.9
 8029.7
 WRITE VERTICALLY AND ADD.
a. 653.4 + 122.5  b. 465.3 + 284.6  c. 509.1 + 482.3

1 1. NOW SUBTRACT THESE CAREFULLY.
a. 985.6 – 139.5  b. 702.7 – 484.3  C. 521.8199.1

d. 619.9 – 487.4

I2. NOW WRITE THESE VERTICALLY AND COMPLETE
a. 329.4 + 614.7  b. 759.8+196.9  C. 477.7+378.6

d. 1269+1769.8

13WRITE VERTICALLY AND COMPLETE.
a. 602.3455.4  b. 750.1289.3  C. 808.4662.7

d. 513.2377.6

e.1219.5846.9

P:95 DECIMALS: MULTIPLICATION & DIVISION
I4 COPY AND COMPLETE.
 T O _ t b. T O . t
38.3 84,9
>< 5 X 3 2
[_ TO.t d. TO.t
93.7 60.9
x 7 >< li 3
I5. ANSWER THESE QUESTIONS.
 If a monkey eats 3.4 kg of bananas everg dag, how much will it eat in one week?
 A swimming pool is 23.5 m long. If Bina swims 4 lengths, how far is that altogether?
multiplication and Division
I6. COPY AND COMPLETE.
Cl. HTO.t b. HTO.t
8)2l0.8 6582.l
C 3565l.6 0q5q6o.3
I7. WRITE IN LONG DIVISION FORM AND COMPLETE.
 I82.7 + Q b. 6098.4 + 6
 4601.2 + 3 d. IL72. + 7
I8. ANSWER THESE QUESTIONS.
 What length is of 84.8 m?
 How much is of 750.5 g?
 Mr Shah had 27.6 I of petrol in his car. He had used é l of petrol on a drive. How many litres of petrol had he used? How much petrol was left over?
P:96
mdredths
 Show the coloured part of these squares cis ci fraction
and os 0 decimal.
gilllllllll §§§’;lllIlII
* ‘iiiiiiiiii *
IIIIEIIEE “IIIEIIIE
JIISEIIII EIEIIIII
::lllllllIl llllllll
llllllllll `s~>lIlllIll
% = om % = 0.23
 EEEEEEEEEE b. EEEEEEEEE:
lmllllll IIISEEIIII
llllIllll llllllllII
llllllllll lllIIlllll
EIEIIIIIII I}I=I=II”
llllIlllll llllllIlIl
¢_ éélllllli! d. QSIEIEIIII
SHIIIIIIII QEEIIEIEII
IIIIIIIIIE IEIIIEIEII
lllllllllI llllllllll
lllllllIll llllIlllll
IIIIIIIIII IIIIIIIEII
Eygsilllllll :M llllll
6 ff,a””I=II f Ill!!!
.§§~g====llll lllllll
“EEEEEEEE = EEEEEEE
EEEEEEEE EEEEEEE
‘I 55; illl it illll
9 ‘ isis iaasa
AEI! iii!!
EEE! EEEEE
,..».s.,..L~llll >»>,» …illlll
(i) WRITE THESE IN ASCENDING ORDER. ..
(ii) Find the sum of o1nd g.;
 and e.
(iii) Which is bigger; f. or h.? By how much?
P:97
DECIMALS: TENTHS AND HUNDREDTHS
2 COLOUR SQUARES TO MATCH THE DECIMAL NUMBERS.


0.03  0.18  0.51  0.75 
3 ASK YOUR TEACHER FOR SQUARED PAPER (GRAPH PAPER) AND DRAW SQUARES OF DIFFERENT SIZES. DIVIDE EACH SQUARE INTO HUNDREDTHS. THEN COLOUR THEM TO SHOW THESE DECIMALS; USE A DIFFERENT SQUARE FOR EACH.


a0.47  b. 0.88  C. 0.09  d. 0.07  e. 0.50  f. 0.94 
4WRITE THESE AS DECIMAL NUMBERS.

 WRITE THESE AS FRACTIONS.
a. 0.l5  b. 0.56  C. 0.10  d. 0.03  e. 0.01  f. 0.33 

Q 6. THINK CAREFULLY, THEN FILL IN >, <, OR = (USE YOUR HUNDRED SQUARES TO HELP YOU.).
 0.05 ——————— 0.50
 0.19——————0.91
 0.5
 0.08 —————— 0.
 0.6 —————— 0.60
 0.75 ——————
 WRITE AS DECIMAL NUMBERS. If 7 tenths2 hundredths 0.72
 3 tenths5 hundredths
 0 tenths 9 hundredths
 8 tenths 0 hundredths
 1 tenth 4 Hundredths
P:98
TENTHS AND HUNDREDTHS
.QW
<
U ? `
. . i _,=:f=$ 1@5U5 “1 g
,.< §a` A – = 0 3
I0
z l I
»~
4 R ‘L 33 = 0 3 8 if loo ~
` i s~ we ,.. _ ‘u <
, ;f;:;»»&¢g;»»:¢~f» , M , < ~ 4 ~~§~ x
= \ S 5:4
$=_l~; ` viii” W2 `§` “5
é s \ s * `1§§`1H3;~`§\3“. ® 29
 ‘§\;’! wi” 5 ~’»’ IIEII’ 2;f3>g2_’v A.,§”‘;< »,
been e ,i§i¥sf~~f“ ua
U ~; 1 V ‘ lllilm. ~§’~!*‘ 5* HV W3
y ~ §;i=;~~»=:: qw \; WE
– ;;‘L§ ~ §~2 ::::::’@ *> ww *
` » *Q Q w 1; ;> ‘ ;
mai; \:. ‘K
 IN YOUR NOTEBOOK, COPY THE PLACEVALUE TABLE SHOWN BELOW (MAKING YOUR TABLE LONGER).
* E
4 8 2 0 3
THEN PUT THE NUMBERS BELOW INTO YOUR TABLE (THE FIRST ONE HAS BEEN DONE FOR YOU IN THE TABLE CBOVE.).
 482 & b. 500 %
 605 % d. 328 @
 wa % f. efas %
The PlaceValue Table
 WRITE THESE IN ASCENDING ORDER.
t .85, .58, .79, l.43
.43, .58, I.79, .85
 2.47, 2.43, 2.48, 2.45
 8.76, 7.86, 6.78, 8.78
 3.8I, 8.31, 8.30, 3.80
I0. LOOK AT THESE CAREFULLY, ‘THEN WRITE THE MISSING DECIMAL.
f o., _, 0.3 0.2
 5.4, _7, 5.6
 7.8, {, 8.0
 8.O,(, 8.2
 49.99, g., 50.0
 70.98, 1, 7 .00
I I. WRITE THE DECIMALS AS FRACTIONS.
‘ 3
t 72.03 72W
 9.94 b. 493. I
 24.2 d. 738.08
 35.9 f. 4 5.85
p:99
z
. i
“‘§”?”7i*’,&&L..
DECIMALS AND FRACTIONS
WRITE THESE FRACTIONS AS DECIMALS BG CHANGING THEM INTO EQUIVALENT FRACTIONS WITH DENOMINATORS I0 OR IOO.
t
3 = i =
g I0 0.6
°’ f b’ % 21%
2 2 _/21;
 5 e. E f._i220
4 6 – 3
9′ s h’ % ‘~ I
Q 2. WRITE THESE AS FRACTIONS OR MIXED NUMBERS IN THEIR LOWEST TERMS.
ff o.so=%=§
G.\O.25 b. 0.72 C. 5.I
 0.3 e. .55 f. 6.4
P:100
DECIMALS AND MONEY
In ewuer ss.. ¢ f*J»¢_i ,ss
we F
We _ciso nr;
helps ‘usflto¥v$fr£f¢,iSum§Is,p£y,rj@oneg_ v
iiss ‘
15 R
written ii? 5 “ff A R is
** ` i ” » i .s Q!
RWHR11DWWiisifsssnfifiiwrifthszz 4 .2
iqwfsidesimqlfnsvmhsrééfsi pisys piisii M153
svqfse
‘U P€‘€¢. ‘
Q I. WRITE THESE SUMS OF MONEY AS DECIMALS. .
* Rs 46 ond twenty poise ‘
Rs 46.20
 Rs 60 ond ten poise
 Rs 5 ond five poise (think
core’fuLly!)
 Rs 00 ond eightyfive poise
 Rs 6025 ond twenty~five
poise
 Rs 300 ond fifty poise
 Rs 873 ond five poise
SID SPACEWALKER HAS BEEN ASKED TO CALL OUT THESE PRICES. WHAT WORDS SHOULD HE USE?
Rs 60.05 sixtg rupees an five paise
Rs I05.50 b. Rs 4820.2
Rs 30.O d. Rs 6595
9‘X$$%9;~§l~J?k~f”
Skin .’L~’%~ZEl1 #if
,,, s
Help Sid add up his shopping bills.
Sweet shop : Rs 20.5
Bakery : Rs 8.50
Video library : Rs, 30.50
Total : Rs 6‘1.5
Fruit shop : Rs 47.75
Toy shop ‘ : Rs 5q.60,
Fish shop : Rs 53.25
Newsagent : Rs 32.I0_
Popcorn shop :»Rs 6.50¢
Clothes shop : Rsl0.q5
Snack bar : Rs 22.35″
Shoe shop : Rs 7.85
Socks shop : Rs 28.70
P:101
DECIMALS AND MONEY:
DECIMAL AND MONEY : THE FOUR OPERATIONS
Q I. COPY AND COMPLETE.
~ G. Rs 68.75 + RS 5q3.55
‘ b. Rs q008.5 – RS 489.75
` C. R5 593.55 X 7
 d. R5 84.40 + 8
. E. Rs 26.75 >< I2
_ f. Rs 88l.Q0 + Q
 ARRANGE THESE SUMS OF MONEY IN DESCENDING ORDER
t Rs 0O.0, Rs 0.q0,
Rs 00.‘10
Rs 0.‘i0. Rs 00.‘l0.
Rs 00.0
 Rs 302.20, Rs 320. IO,
Rs 320.05
 Rs QCIHO, Rs 00.05,
Rs 00.00
 Rs l8.8O, Rs 48.8§,
Rs a7_<a5 ,
 ANSWER THESE QUESTIONS MAKING COMPLETE STATEMENTS.
 A new T\/ costs Rs 24,065 Q0 Samina has only Rs I0,78O 50 in her bank account. How much more money must she save before she can buy the TV?
 Danish needs a maths book costing Rs q8.75, an English book costing Rs 67.50, an ‘ atlas costing Rs 25, and a new lunch box costing Rs i05.75. How much money will all this cost his parents? ”
P:102
DECIMALS AND MONEY: More about Bills
1PREPARE BILLS FOR SID’S SHOPPING AT THESE DIFFERENT SHOPS. (WRITE YOUR BILLS AS NEATLY AS POSSIBLE.)
aSports shop: 2 pairs of shorts at Rs 225.00 each; I2 table tennis balls at Rs 9.1 5 each; 5 sports caps at Rs 35.75 each.
Quantity  Description  Cost of one  Total cost 
2  Shorts  225  Rs 450 
12  table tennis balls  9.15  Rs 109.80 
5  sports caps  35.75  Rs 178.75 
Grand total  Rs 738.55 
bBookshop: 7 comics at Rs 32.35 each; 2 ‘Famous Five’ books at Rs 87.25 each; 3 books about magic at Rs 36.35 each; a new diary costing Rs q4.65.
cBakery: A doughnuts at Rs 15.65 each; 2 chocolate cakes at Rs 27.25 each; 6 chicken puffs at Rs I4.85 each.
2NOW PREPARE THESE BILLS, WORKING OUT THE SUMS VERY CAREFULLY.
 Mrs Shahid: 3 packets of tgping paper at Rs ‘i8.5O per packet; 2 books on electronics costing Rs I I2. each; a new pen costing Rs 28.95.
 Mr Aamir: 5 packets of so at Rs 26.85 each; 14 packets of biscuits at Rs IQAO eac 3 cookery books costing Rs 30.50 each; 2 music CD at Rs 41.75 each.
 Mrs Khan: 4 books on computers costing Rs I80. each; a new lamp for her room costing Rs 200.75; 6 tickets for a concert at Rs I l5.00 each.
3USE THE UNITARY METHOD TO FIND THE COST OF:
 4 notebooks, if I0 notebooks cbst Rs 80.50.
B.3 kg of wheat, if I0 kgc Rs 320.50.
 6 tickets to the’ evening show, if 8 tickets cost Rs 72O.80.
D.5 tennis balls, if 3 tennis balls cost Rs 62.70.
p:103
Decimals
e know that
eftre Im) 00 gzenumetres (cm)
60 cm I m
cm m 0 m
I en we work wrth m and cm we
the demmvzxl pemt to separate m
m nm mukmg our work neotgr
I 3 simpter
can bE
aa Wrltten as 5;
“H~” as 74 m
__~,_
cm us just another way of sagng
at seven four or 7” bf El mecire
Wrte these henghts In
metres
2 m 61+ cm 2 64 m
m 87 cm b
m m
Wrte these Lengths In
and cm
I3 05
2 75 I
I0 02
3 Wrte as
3m5cm
d 240 03
mxed numbers
* 25 02 m
u I859m
c lIlI07m
2
2500 m
b I0308
d 36I0
[TI
m
I’
~»`,`~»~ i:V;fgi:’:§,:r ,`,’~ 2 _`,`_ 1 I;
»s»~
sJs_ I
 ` ` `
t _ –
 3 _ 1:05 cm
 I ISC CI. IIO2cm
 ` ` m
_ if . m
* Q. . m b. e.s3m »
 . m . _ m
T I
and Centimetres w
,..~¢.
Vletres
@> 4. Copy ond complete (Look
corefullg for + or .).
 rn b. m
l2.75 43.62
+ 3.86 + 78.59
 m d. m
24.63 O3.lI
– 8.Q2 – 67.58
¢5.
or.
b.
C.
 64.8 m – 329.77
e.
&
o.
b.
tlb
6.
Write vertically and Y
complete.
28.65 m + 632
52.86 m + 243.95
202.22 m – 87.93
m + ‘IAQ m
m
m
m
38.92 m + 7l¢.58
611.73 m
Answer these questions.
[‘f1+
Sumir’s desk is 513 m long
while Rdhim’s desk is I.67 m
long. Howflong ore the two
desks when ploced end to
end?
A door is 2.ILi.m high and
Javed is .8q m toll. How
much spoce will there be
between Joved’s head and
the top ofthe door if he
goes through it?
oxFor<D
P:104
Decimals and Metre:
Copy this table in your
notebook ond complete.
IDPS cut wif left
42 63 5 <1 37 ua m
56 is zq 35 _
s.za m £08.57 m _
—
_
Copy and multiply.
m b. m
8.62 0235
X 5 X ’7
m d, m
43.58 35 I .68
>< Q >< 20
Write vertically and ‘
multiply.
Li3.5 m x I0
58.29 m x I5
84.37 m >< 20
I 0.05 m x 25
2ili.0 m >< 3
93.145 m >< 22
The Four Operations
 1+.
G
C.
$5
C
b
C.
d
e
f.
$6
a
b
C.
Copg and complete.
A725214 m b. 6775.66 m
57 O.55 m d. q738.07 m
Now complete these.
66.57 m + 7
307.89 m + Q
IQOA8 m + 8
369.39 m + 3
308.46 m + 6
2l\.65 m + Q
Solve these problems.
A box is .5 m high. What
is the total height of a
stack of 6 such boxes?
A car is 4.75 m long. If 5
such cars are stuck bumper
to bumper in Cl traffic jam,
what will be the total
length? »
Jamaal has a length of
string measuring 3.Q2 m.
If he cuts it into 7 equal
pieces, how long will each
piece be?
P:105
Build your own numbers!
(The first one has been
done for you.)
4
31° ful1@sell“H0sf4lfF¢s¢51h§fPL<=fresfl
tus infhe~bhte§ssilplacésl{l s 1111; f ,
, _:%,` if ,,’V,VV`,`,` 1,
5 in the hundredths place
0 in the tenths place
6 in the ones place
3 in the tens place
7 in the tenths place
5 in the hundredths place
0 in the ones place
3 in the hundreds place
A in the ones place ~
7 in the tens place
0 in the tenths place
Q in the hundredths place
Q in the tens place
4 in the tenths place
6 in the hundreds place
3 in the hundredths place
8 in the ones place
Decimal Fun Page! ,
Copy and write symbols in
the blanks (>, <, or = ).
.0__O. .0> 0.l
OH i I
BA6) 3.5
2.0 _ 2
0.8! ___ 0.8
9.50, (1.5
Copy and write symbols in
the blanks (X or +). V
, <
0_4 _ o = 4… <2?
o.u>< no :cr
o.o __ o = o.
5.om_ o = 0.5
qs” o = on
o.ssM_ ro = 8.5
3_ o = 0.3
Using your ruler carefully,
draw squares and
rectangles of these sizes.
Then work out the
perimeter of each shape.
Square, each side 2.3 cm
2.3 cm X li = ¢.2 cm
Perimeter = °.2 cm
Rectangle,
sides 4.2 cm and I.8 cm
Square, each side 3.7 cm
Rectangle,
sides 5.14 cm and 2.5 cm
p:106
ndredths und Thousundths
Let us now look at our place value
table We need to add another
column thousandxhs, or th to the
rnghr of the hundredths ( h )
column
llllllI
Hllilllé
%llllll
Look at ‘alms number in the place
value table
EIIE
We read thus as four hundred and
sixty five pvlnt eight nine thrée
4 IS m the hundreds place
615 m the tens place
5 rs ln the ones place
8 us mn the tenths place
Q LS m the hundzedthe place
3 us nn the ihuusundths place
Look ut these numbers
then Wrte the place value
of the crcled dgt
L48 5 ® 2 ‘fl hundredths
I6 Ill (D I
Q0 25 d 284 0 ®
e I5 @ f ® “I
I le l l_ I I I
Q _ _ , l
ir _ ”’ I ,
 . b. @0391
 .© . _ _ 7.46 _ 2.5ne
p:107
Decimals: Tenths, Hundred
 In your notebook, draw a
placevalue chart. Then
place these numbers into it
carefully (The first has been
done for you.).
* I!
5 `0 I 0 I 6
 50l.06 b. I6.O6
 269.428 d. 279.943
 84. I 59 fy 7.642
 Write these as decimal
fractions.
3
t 5% 0.003
s 
°’ iooo b’ iooo ~
7 4 ‘
C’ iooo d’ iooo
 Copy and complete.
,, L = ; L = ji
loo iooo oo iooo
8 _ * _L_ *
U’ W ` iooo b’ loo ‘ iooo
i _ & _ 50
C’ 00 ‘ :ooo d’ 00 ` 000
 Write the number names.
1* l0.624 ten point six two
four
 I6.08 b. 2I2.236
 40.003 d. ‘i46.8
edths, and Thousandths @< _,~’ » cf… ».
f».. hr.. _,e
#Pm »
».=§ Q _.
me
sir
000
qi
Q 6. Now write these as decimals.
32
t E 0.032
is 5
°” iooo b’ iooo
27 73
C’ nooo d’ iooo
 7. Write these as decimal
fractions.
4
* 0.04I W
 `0.002 b. 0.008
 0.067 d. 0.0! I
 0.005 f. 0.090
Q 8. Write as decimal numbers.
* zero point zero two three
0.023
 zero point one two eight
 ` two oint six zero nine
P
 eleven point one six zero
 nine point zero three nine
QQOKD
P:108
Tenths, Hundredths, un
Copy and write numbers in
the blanks.
4.2,4.3, ,4.l5…4.4
3.7, 3.8, , 4.
6.29, 6.30, __,
6.34
3.4q8, 3.4qq , 3.500,
8.\q, 8.2,
8.l23
Copy and write symbols in
the blanks (>, <, or =).’
L L L > L
00 1 looo 00 :ooo
0.09 L 0.0Q
0.04 L 0.040
5.050 L 5.05
23.\03 L 23.0I3
00.00I L 00.0I
Copg ond write in ascending
order.
4.7, 4.06, 4.006
4.006, 4.06l, 4.7
.0q, .04, I.0, .54, .0
2.5 I4, 4.502, 4.506, 4.504
0.6, 0.06, 0.8, 0.008, .8
5.32, 5.3°l, 5.30, 5.33l
3.002, 3.q05, 2.0°I2, 2.943
:nd Thousundths
 a.
G.
C.
6.
Qs.
ci.
b.
c.
d.
e.
 6.
t
Q.
d.
g.
Copg and Write the
predecessor and successor
of each.
3.682 predecessor 3.68I
successor 3.683
lofi I b. I 0.00 I
2.09 d. 9.320
7.030 f. 2.0lO
Copy ond write in
descending order.
O.l, 0.5, 0.8, 0.3
0.8, 0.5, 0.3, 0.
5., 5.4, 5.0, 5.6
3.62, 6.3q, 6.4, 6.9
2.703, 2.7, 2.2705, 2.7O
6.q, 5.0’~`i, 5.°lI0, 6.83
7.035, 7.5, 7.35, 7.053
Copy ond write these
fractions as decimals.
62
T666 0.62
337 b 73 C 75 
 ooo ‘  ooo ‘ \ ooo
264 1 on 8
nooo e’ 000 f’ ooo
sofa h ez i qsa
 ooo ‘  ooo ‘  ooo
P:109
“iii
i about Decimal Places
Q i. How many decimal places
do each of these decimal
numbers have?
if 0.I5 two decimal places
 0.11 b. 0.099
 0.068 d. 2.li
 li.O6Q f. .O3
 0.875 h. 5.2
Remembéri. I csas 0 i
V I. Th€,I1LJI5fJ‘beifQOi§_digits rf
1
 __
3_,
$2
G.
C.
G.
thédecimal poiht~gives.jw ie
numberfof places ina ,_’»` if;
decima,L_¢n`umber.__ ‘ 4 1 I
ZerosftaftHe‘Vrighiiofici’ ‘ V _
decimal “point after the digits
have novalue. Example: _
7.<a<ao = 7.§‘i_ e
Zerosto the left’ ofa decimal
point; before,the_»digits‘ have
no valule;,Example; 0Q.78°i =
9.789 j ; x
3.602fhas 3 decimal’ places
(the zero in the hundredths is
counted) “” ‘ __ ‘ ‘
3.620. has 2 decimalplaces
(the zerofut the end is not V
counted) ` , ,
03.602Q’ = 13.602 f I
How mangdecimal places?
Look carefullg!
2.fiQ two decimal places
~ 3.504 b. 26.730
23. I0 d. l62.0q0
O3.8 f. 87.50
P:110
Q I. CONVERT THESE FRACTIONS INTO DECIMALS.
= 
= 
= 
= 
= 
= 
 NOW CHANGE THESE MIXED NUMBERS INTO DECIMAL NUMBERS.
= 
8 = 
6 = 
10 
7 = 
7 = 
2 = 
8 = 
2 = 
Q 3. Write these as mixed numbers in their lowest terms. .
 2.6124————
 31028————
 5.010————
 20.005————
P:112 REVIEW
 CAN YOU COMPLETE SID’S SPECIAL DECIMAL CROSSWORD?
CLUES ACROSS
1. When we multiply a number by I0, the digits of the number jump one place to the——————
5. I am the name for the second place of decimals. 6. If I come of the end of o (decimal) number, do not count me as cu decimal place. 7. 1 am another name for ‘decimal point’. 9. I am ‘tenth’ in Latin. I2. There are 00 of me in a metre. 13. 14. 0.052 equals zero——————zero five two. 
2. 1 am the name of the column 3 places to the right of the decimal point.
3. I am the number of decimal places in 6.90. 4. 3.159 is the —————— of 3.160. 8. For a fraction to be converted into a decimal fraction, its denominator must be a—————— of 10, 100, or 1000. I0. 7000 poise = ——————rupees. 11. I am the number in the tenths column of 111.695.

 TRUE OR FALSE?
 21.7 < 21.66
 The 6 in 23.569 stands for six tenths.
 0.004 < 0.04
 é is the same as O.125.
 0.07 can be written as
 The decimal value of L is
 3.74 > 3.7
 52.10 is the same as 52.1.
Page:112 DECIMAL AND MEASURING
1EXPRESS THESE LENGTHS AS KM (2486 m 2.486 km)
a. 3049 m 
b. 629 m 
c. 492 m 
d. I 038 m 
e. 10,501 m 
f. 87,6O m 
2EXPRESS THESE WEIGHTS AS KG (628 g 0.628 kg)
a.1432 g
 485 g .
c.69,571 g
 832 g
e.10101 g
 50959
3CHANGE THESE KILOLITRES INTO LITRES. (1.493 kl 14931)
a.2.493 kl
 0.095 kl
c.10.069 kl
 22.608 kl
e.0.802 kl
 0.905 kl
4 CHANGE THESE MEASUREMENTS INTO KILOUNITS. (2′ kg and ‘80 g — 2.I80 kg)
5 km ond 595
I0 kl and 408 l
4 km and N602
9 kg and I I5 g
IO
m
m
kg and
I
538 g
P:113
Decir
When we use decimal points in
measurement, we must be verg
careful to put the numbers in the
correct decimal places.
_ 2 =
2 m – 000 km 0.002 km
_ ~’ _
_ I5 _
51WE kl 0.05kl
Q 5. Write as kitounits.
t Q kg and 3 g 5.`003 kg
 I0 km and I6 m
 28 kg and 00 g
 I9 km and 4 m
 20 kg and I g
 Q4 kl and 81 ~
Q 6. Write these weighté as kg
and g.
if 6.0q kg …6kgI‘\g
 4.002 kg b. 25.075 kg
<. 0.00 kg d. 0_0 kg
 ‘i2.00 kg f. 94.070 kg
als and Measurement
¢ 47. Copy this place~value table
in your notebook for all
the four sums.
*
Look carefully at these lengths
then enter them in your table
in decimal form. (The first has
been done for you above.)
 80 km 5 m
 220 km I6 m
 08 km 8 m
 5 km 200 m
 8. True or false? Write T or F,
and explain your answer.
ir 4905 g = l.0q5 kg (F)
mos g = mos kg
 0kgandIg= 0.kg
 6.295 kl = 62q5 I
L
 3m00 km
__ 29
 291 – 4000 kl
 °1.0I0kgj=Qkg 00g
 5kg and5g = 5.0059
 3s. <m>< xo = 38 km
 m25cm=I.025m
P:114
P:115
ent: The Metric Sgstem
Q
 Here are some special
words (or parts of words)
used in the metric sgstem
Fiji;
I Kilo (k) I thousand times (X 000)
I Hecto (II)  hundred times (X 00) I
Deca (D)  ten times (>< IO) I
Deci (d) I one tenth (+ IO) I
Centi (c) I one hundredth (+ I00) I
I Maui (m) I one thousandth (+ Iooo) I
Now answer these questions
using the chart to help you.
xi I decimetre is equal to _
one tenth of a metre or
0. m
 I hectolitre is equal to _
 I centimetre is equal to
_ m.
 I milligram is equal to _
d I decalitre is equal to _ I.
 I kilometre is equal to _
 2 hectometres are equal to
_ m.
 I decigram is equal to _
 I decilitre is equal to _ I.
 I centigram is equal to _
 3 kilograms are equal to _
 A millilitres are equal to _
 éhectogram equals _ g.
I
P:116
The Metric Sgstem
Think carefully, then write
numbers in the blanks.
40 mm = __,cm
40 mm = 4 cm
200 cm = 7 m
60 mm = 4 cm
4000 m = _ km
7000 ml = ,I
_, mm = 2 cm
Write these lengths in m.
53 mm o.53 Ei’
624 mm b. 7083 mm
083 mm d. 62 mm
4002 mm f. 40 mm
Write these lengths in cm.
azq mm szn an _ `
704 mm b. 40 mm
238 mm d. 5 mm
5 mm f. 202 mm
> 4. Measure these lines verg
carefutlg. Then write the
length of each line in mm
and then in cm.
t
5 mm 5.l cm
 {,
 __
 i___
 _m_
> 5. Now measure these lines,
and write their Lengthsijn
metres. ~ 7
emember:
Lmm = Qm or 0.00 m
6.4 cm or 0.064 m
 _
 __
 __j
 _._é
> 6. Write these lengths in mm
if 0;62q m 629 mm
 f0.I35 m , b. 0.23 m
 0.378 m d. .608 m
 6.OO m f. 0003 m
P:117
Write these weights in kg
52 g 0.052 kg
son g b. 400 g
I5 g d. 843 g
832° g f. 2 g
7 g h. 4830 g
Write in milligrams (mg).
I0 g = 0,000 mg
8 g b. Q5 g
I6 g d. 31g
24 g f. 50 g
Write these weights in g.
38 mg 0.038 g
52 mg b. 6 mg
sm mg d. we wig
Write in mg.
.6 g 600 mg
2.4 g b. 3.02 g
5516 g d. s.so g
o.o g f. o.oo4 g
Write vertically and
complete.
0.l3 9 + .2q7 g
s.o1» g – mas g
7.068 g – 3.72 g
The Metric Sgstem
l2. Write these capacites in ml
f I.62 l 620 ml
 2.04I 1 b. 0.00l 1
 0.6341 d. 0.961
 4. I 5 1 f. I IA 1
I3. Change these into 1.
t li ml 0.0041
 5 ml ID. 23 ml
 I6 ml d. 908 ml i
Ili. Express these as kl.
if 493 I 0.493 kl
Cl. 231 b. 81
 69 1 d. 591
 0141 f. 51
I5. Change into I.
if 69.2 kl 69,200 l
 li.O kl b. 20.639 kl
 7.243 kl d. .05I kl
 0.03 kl f. 8.06 kl
v
I6. Write verticallg cmd
complete.
 0.63I g ><A_ 5
 .0721 x 4
 0.059 kg x I0
 6.l32k1 x 8
P:118
Metric Word Problems
Solve these problems in
your notebook, making
complete statements.
Alam cycles 4.75 km every
day. How far does he cycle
in 5 days?
A bookcase is 80 cm high. It
sits on top of a cupboard
which is .li5 m high. What
is their combined height?
Saima’s magic rose plant
grows I0 mm each mo_nth_
How many centimetres will
it grow in one year?
51
31 ,
.. g;£i’°%§\
W; ’ .
The perimeter of a tennis
court is 6q.l8 m. How many
metres long is the other
side of the court if one side
is 0.Q7 m?
Saleem runs round a
500metre track I5 times
during a training session.
How many kilometres does
he run altogether?
Moham broke the 3.95 m
record for long jump by
20 cm. What was the new
long jump record she set?
Solve these in gour head,
then write the answers.
25 cm, 2 km, 50 cm, 250 cm,
30 m: Add the two longest
distances together.
If one side ofa square field
measures 5i.5 m, what is
the perimeter of the field?
30 g, 22 g, io kg, an g,
8 kg: Add the heaviest to
the lightest of these weights.
Now solve these, making
complete statements.
Sid bought I kg of apples,
0.5 kg of plums, 0.75 kg of
grapes, and 2.25 kg of
tomatoes. What was the
total weight in kg?
Rohail weighs 23.423 kg.
His father weighs exactlg
three times Rohail’s weight.
How much does Rohail’s
father weigh?
Which is heaviera 5kg
sack of rice or two 750g
bags of sugar? Bg how
much? V
A big chocolate cake
weighs 2.864 kg. If it is cut
into 8 equal slices, how
muc`h will each slice weigh?
P:119
More
Think carefully, then solve
these problems in your
notebook, making complete
statements.
Anila bought 2 lof green
paint, 1% I of blue point,
250 ml of white point and
2% I of yellow paint. How
much point was that
altogether? (Give your
answer in l.) ,
A water tanker carried
2,000 I of water. When the
tanker returned, its tank
was one quarter full. What
quantity of woter had been
delivered? _
In a factory, a machine fills
twenty 00ml bottles with
oil in one minute. How
many litres of oil are
bottled in one hour?
If I.5 ml of water leaks
from o tap in one minute,
how much water will be
wasted in g of an hour?
At Alamgir School, there are
three fish tanks. They can
hold 4.51, 6.25 l, Gnd 4.8751
of water each. How much
water would be needed to
fill all three tanks?
N
1
Metric Word Problems
Now solve these, thinking
very carefully before you
answer.
The sides ofa triangle
measure 4.5 cm, 3.2 cm, and
4.3 cm. Find onehalf ofthe
perimeter of this triangle.
Then express your answer
in metres.
Four 25cm pieces are cut
from a length of wood..This
leaves I.3q m. How long,
was the original piece of
wood?
What is the difference in
weight between ten I5g
packets and two 5kg
packets?
Sana made 6 I of chocolate
milkshake. Her brother, Ali,
took half of this. Sana
shared the rest with her 3
friends. How much
milkshake did each of the
four girLs,have?
JF \ 1
A pocket dictionary is
20 mm thick. How many of
these dictionaries are
needed to form o pile
48 cm high? f
OXFORD
P:120
Look carefully at this number:
l43.62q
Write the digit in each of the
following places.
 hundreds place
 thousandths place
 ones place
 tenths place
 thousands place
 tens place
 hundredths place
Write these as decimals. `
3 Q 69
°’ iooo b’ io C’ 000
a Q 50
d’ W e’ ioo f’ iooo
Copy and write symbols in the
blanks (>, <, or =).
¢
 200 g 0.2 kg
 0.5 ___ 0.05
 .65klf70l
 I.lQ _ IBO
 48 cm ___ 4.85 m
Write these as fractions or
mixed numbers. Y
 0.35 b. I
0.09
 0.6 d. 0.93
 0.003 f. 20.O5 L
F.
REVIEW
 Add or subtract:
 2lr.09 + O.3
 35.06 – 8.79
 l6.45 + 2.08
 9.65 9.786
 I.O9 + 0.999
 5.03 – 2.875
 Write correct decimal numbers
for *_
 5946 p = Rs *
 lr mm = * m
 8cm – *m
 I5 gm = * kg
 02 m – * km
 Zlrp = Rs*
 61 – *ml
 29g – *kg
 aqop = Rs*
 3mz = *1
 MuLtiplg or di;/ide.
 Rs49.75 X I2
 4.968 km + 8
<. 0.7739 >< s
 ,l6.23ll X 5
e 4.697 kl + 9
 2.076 kg + 6
 l.03 kg >< I0
 2.6»cm X 00
P:121
P:122
P:123
}.
W
2.
‘\
3.
3
Cut two strips of card and
fasten them with a paper
fastener or paper clip at
one’end_
You can colour
them differently.
Turn one of the strips to
make a right angle:
A right angle
Now make an angle
smaller than a right angle
by turning your strip back a
little. You have now made
an acute angle:
An acute angle _
Now turn your strip beyond
a right angle but not as far
as a straight angle. This is
called an obtuse angle:
An obtuse angle
Lastly, turn your strip even
further, beyond a straight
angle. You have made a
reflex angle:
) A reflex angle
w;
1
Making Angles I
Here are some more drawings of
angles:
Acute angles
Right angles Straight angles
Obtuse angles Reflex anglesf
*\T\\/
=
Q 2. Look carefully at these
angles. Then copy them in
gour notebook and name
them.
t obtuse
P:124
w gg More about Angles
Let us now turn Sara Spacewalker’s
fan into a maths drawing:
L A c
,Q I
A
The arms of Sara’s fan become the
arms BA and BC, with the common
end point B.
Point B is called the vertex. ..,,
In maths, the word ‘angle’ has a
special sgmbol, L.
The angle of Sara’s fan can be
written thus:
LABC or LCBA
Q 3. Name the arms of these `
angles.
* X’\<>/’Z xv and YZ
Y Y
A
 b. W
B C X
Q 4. Name the vertex of these
angles.
* C’\O/’E The vertex is II
’\
The L Symbol
Q 5. Draw ang angle, and label
it as shown.
ir LPQR (vertex Q)
R
P
Q
 LEFG (vertex F)
 LJKL (vertex K)
 LSTU (vertex T)
 LMNO (vertex N)
 6. Now draw angles to
the names.
if LXYZ (right angle)
x
Y z
 LPQR (acute angle)
 LABC (reflex angle)
 /_DEF (obtuse angle)
 LWXY (right angle)
 LRST (reflex angle)
 LLMN (right angle)
match
P:125
Fin
Find a piece of spare paper and \
draw a circle on it (use c bangle, or,
the bottom of a tumbler or cup). ,
Cut your circle out carefully.
Fold it in half… \
and then in quarter.
Unfold your circle and with your
ruler, draw lines along the folds l
like this: r
` “‘= i
’ 3
Look at the right angle you have
drawn:
_
The two arms of any right angle \
can be used to form a square.
 Look at the angles, and tick
(~/) all those that are right
angles \
1ding the Right Angle!
 2.
1
Look around your
classroom. How many right
angles can you spot? Look
ot this book! Look at your
desk! There are right angles
all around us.
In your notebook, make a
list on this pattern:
Window
Tree
Angle made by 2 sides
Angle between tree ~
trunk and ground
” . . gf ,V
,. L
“f ` = “M ,., fe,
Qs.
How many examples can
you locate? Make sure you
locate more than your
neighbour does!
Look around your home
and your school. Make a
list of acute angles and
obtuse angles.
and its seat
Back of chair’ obtuse angle
P:126
 I. Draw a base line 6 cm long
and label it AB. Now place
yourprotractor so that the
middle of its bottom line is
exactly on Af
Find the ‘QC’ mark on the protractor
and mark it ’C’. Remove the
protractor. Join C to A. What angle
have you drawn?
P:127
Look carefully at the
circular protractor above.
Then answer these
questions.
How many degrees in half
a circle? 360° + 2 = l80°
Hovv many degrees in a
quarter circle?
How many degrees in a
right angle?
How m‘any degrees in % o
a circle?
How many degrees in a
straight line?
I – I _ _
Z circle + E circle +
degrees.
2 circle = > degrees.
2 right angles added
together = _ degrees.
P:128
, _, Using the Protractor
,wer
Let us look again at our halfcircle
protractor:
 3 Y’
We see that there are two rows of
numbers marked on its edge.
One row, the top row, starts at 0° at
the far left of the protractor and
ends at l80° at the far right. “,
The other, the Lower row, goes in
the opposite direction.
. Look at the angle gou want to
measure:
Is it an acute, obtuse, or a right
angle?
Label the angle as ABC.
LABC= acute
Place the centre point of your
protructor on the vertex of the
angle (B).
Put the 0 mark olong the arm
BC.
Now look very carefully to see
at what number in the ‘cop row
of markings the ‘AB’ arm of
your angle crosses the
protroclor. ’
. ~»r B
Since the ‘AB’ arm crosses at
the number 30, so LABC = 30°.
P:129
Using the Protractor: Acute Angles
Use your protructor to
measure these angles. Think
carefully which rovv of
markings on the protrogtor
you should use. ‘
 Look cut the protroctors ond
write down the angles they
show.
P:130
Using the Protructor: Obtuse Angles
 Measure these obtuse
angles, thinking carefully
which set of markings to use
 li. Measure the angles shown
in the drawing and
complete the table.
E
CD F
A
B
 Estimate and then measure
each of the following
angles. Then complete the
table that follows.
L;/Q;
nymllier ésiirifidrae ~r merit” ang
 EZII Hgh*
 Draw more angles in your
notebook at random
without a protractor and
complete a similar table.
P:131
Using the Protractor: Drawing Angles
Draw these angles in your
notebook, using 0 protractor
(Your angles can open in
either direction).
30° b. 65°
50° ’ d. 25°
70° f. 0°
90° h. 75°
I 0° j. 55°
45° 1. 7O°
130° n. 105°
25° p. 80°
P:132
Draw these angles in your
notebook, using 0 protractor
(Your angles can open in
either direction).
30° b. 65°
50° ’ d. 25°
70° f. 0°
90° h. 75°
I 0° j. 55°
45° 1. 7O°
130° n. 105°
25° p. 80°
Measure the sides of these 4
triangles. Write equilateral, ‘
isosceles, or scalene for
each one.
isosceles
P:133
. “fig
ngles and Their Angles
 ?~Vi,,_fM._c»»ff;
ffl N o 47/ i 1
Q I. Use a set square and find
out which of these are
rightangled triangles.
b@\@
Q 2. In gour notebook, draw a
table like this. Then put the
triangles shown below into
the correct column.
lf¢»@,\>A~,» ;f< ~:> 5get fy; e ~, ,i » »» =.,+,
’ A
LAs§E `f ‘2 :”l I1 5, ~: “1 Z’ . . ~?l~L7l$:7? `iw?
P:134
‘ I. Measure the angles of these
triangles. Then record your
findings on u table like this.
/\
wfmwm
,,s.»..wm.,M , mmm
1
rrrrs
 7. Draw these angles in your
notebook, using a protractor
(Your angles can open in
either direction.).
 30° b. 65°
¢. 50° ‘ d. 25°
 70° f. o°
 Qo° h. 75°
 I 0° f. l55°
 45° l. 7O°
 l30° n. l05°
of 25° p. l80°
24
P:135
Angles in c Quadriluterul
 
_ Which shapes shown above
have:
if 4 right angles? square,
rectangle
 No right angles? ,
 4 sides of equal length?
 Both pairs of opposite sides
parallel?
, d. 4 equal sides and la right
angles?
 4 equal sides but no right
angles?
_ _ r ,
 Carefully measure the’ dngles of this purcxllelogrom and record
P:136
More about Quadrilat<
Q I. Test Sid’s Important Rule on
page 35 by measuring the
angles of these
a,uadriLaterals and
recording your findings on
a table Like this.
5
Q 2. Drqw rectangles with sides;
of these len§ths_
 0.2 cm cmd 6.3 cm
 01.5 cm and 3.7 cm
Colcutote the perimeter of eoc
these lengths.
 5.6`cm b. 3.9 cm r
Calculate the perimeter of eac]
Q 3. Draw squares with sides of
P:137
4.
Perpendicular Lines _
` @ I. Are these lines perpendicular
to each other? Write yes or
no.
* =\ es
r\ g
Cl. f_\ b.
C d I
i
Q 2. Look carefully around you.
What pairs of perpendicular
lines can you see? Record
them on a table like this.
the rlrr i
<ii1§i§Ef ~»~’ l ~?P§li§€H¢=Ti¢Ul¢,r» lineil
* pencil box 2 sides of the ld _
& 3. _ Draw lines of these lengths
perpendicular to each other.
if AB=3cm, CD=2cm
C
A B
ST = 8cm
cm, UV = 6.3 cm
7.4 cm, JK = 4.7 cm
cm RS = 4.8 crri
~.¢ .:’ .
ff ‘. .
M5 f “
P:138
Column Graphs
 Look carefullg at this
column graph.
Favourite Colours of Children
in Class 4A
8 —
; W§c§—
@§ 45%—§\§$f4
C
E – .
‘D si; “S ‘éi
E 5
e ,,
3 3
 ,
blue red gellovvgreen pink orange
Now answer these questions.
o How many children like red
the best?
 Which colour is least liked?
 How many children like
orange best?
 For how many children is
blue not the favourite ‘
colour? ~
e How mang children are
there in Class AA?
f How mang children like
green the most?
®
 Here is a column graph for
20 children, each unit of
which stands for 5 children
along the vertical.
Children Absent from School
zo
Q ‘S
GJ
1
Ig
Mon Tues Wed Thurs Fr
Study the graph and answer
the questions.
a
b
. How many children were
absent from school on
Friday?
. How many more children
were absent on Monday
than on Wednesday?
 How many children were
not in school on Tuesday
and Wednesday?
@ 3. Study the graph and
answer the questions.
Money Collected for Homeless Famili
Rs
Rs
Rs
Rs
Rs
Rs
a.
b.
EE
233
2000
‘ 500
00 csemsxtssmsfeeesimsee
0 ~ ,
65
Mon Tues Wed Thurs Fri Sat
How much mon`éy was
collected on Wednesday?
How much more money
wascollected on Friday
than on Tuesday?
On which day was the most
money collected?
P:139
More about Column Graphs
These column graphs tell us cx lot about Sid Spucewclker and his family (wife
Sora and children Sue, Selvi, and Sprog):
Study the graphs and
answer these questions.
What is the difference in the
heights of Sprog and Sara?
How much older is Sue than
Selvi?
How much lighter is Sue
than Sid?
How old was Sara when
Sprog was born?
Which member of the
family cannot walk
through a 2m high door
without bending?
How many stamps do Sue,
Selvi, and Sprog have
altogether?
Sara Sue SelviSprog
Sid’s spaceship can carrg
not more than 250 kg. Can
all five members of the
familg travel in the ship
together?
If Sid gives % of his stamp
collection to Sprog, how
many stamps will Sprog
novv have?
If Sue and Selvi lie end to
end, how for will they
stretch?
If Selvi and Sprog climb
together onto the scales,
what weight will be
shown?
P:140
I Studg the pie chart, then
answer the questions.
Colours of Bangles Worn bg Teachers
at Alamgir School
blue
Vg
What colour bangles were
worn bg most teachers?
What colour bangles were
worn by the least number
of teachers?
Which colour was worn bg
more teachers, green or
blue?
Now study this chart.
Favourite Sports of Class AB
thlelics
cricket
Which is the’most popular
sport among the students
of Class 4B?
Which is their least
favourite sport?
Which is more popular,
football or cricket?
P:141
REVIEW OF THE YEAR
Place these numbers in
International periods, then
write their nomes.
 147203 b. 65703
 806I4 d. 920037
Write symbols in the blanks
(>, <, =)_
 2.48 Y_2.4l4
 s.32 kl 2 6321
 o.oo boom
 904,600 _ qoaeax o
1+ 3
 IZ? ) IZZ
Write the numbers preceding
the following.
 890,000 b. ,000,000
 5,60O d. 8490 .
Give the volue of the `
underlined digit.
 69,384 b. 20.§ll3
 6.9§ d. l,64,932
Write the biggest number in
each group.
 606; six hundred and sixtg;
650; 65.603
 0.I03; 0. I3; zero point one
two six; 0. 09
 2.4 kg; 2389 g; 2% kg;
2398 g
Write in expanded form.
 206,942 b. 695,08
 27,648 d. 8,73,008
 ,00,905 f. 73O,85
Write vertically and complete.
 59,643 + 289 + 6,732
 4.96 + 8.243 + 6.878
 ,03,20 – 79,875
 6.032 – .589 ‘
Fill in the blanks. /
 620.432 – ) = 4.968
 0.045 – = 3.62
 59.405 – .1 = l8.737
 23.06 – ) = 5.429
Multiply each number (i) by I0
(ii) by o0; (iii) by ooo.
 Rs I8 b. 25 m
 409 d. 380
Write vertically and complete.
 493 X I6
 soqs ><‘ 66
 837 X 20
 42.66 X 30
 509 X 28
 28.09 x 20
 s.s<a >< 7
 f62.3 X 25
P:142
Write the number that is:
 éof asso
 éof o.oq
 §of2o,\o5
 éof 2.072

 E of 842,560
Write in the long division form
and solve.
 Q48 + I5 b. 8302 +”=8
 685 + 22 d. 7417 + 23
 572 + 36 f. 6094 + 67
Q06P24 h. 326+35
. 874 + 45 j. 5009 + 56
9
Solve these problems, making
complete statements.
 If a bar of chocolate costs
Rs 25.55, what will the
total cost of 46 bars be?
 If 4.5 Z of lemonade is to be
shared equally among I0
children, how much will
each child get? Give your
answer in ml.
Divide each number (i) bg l0;
(ii) by 100; (iii) bg 000 (You
mag need to write remainders.).
 42,600 b. 3,02,f15
 8,7qO d. 75,524
 624,508 f. 8, I 9,025
Solve these problems.
 If a crate of 48 oranges
costs Rs 252, how much will
7 oranges cost?
 The area of a rectangular
field is 861+ square metres
and one side is 36 metres
long. How far will a farmer
walk if he walks once
round the field’s boundarg?
Write the name of the month
shown in these dates.
 03.05.08 b. 24.07.04
 8.l2.03 d. 5.l0.0
Using a coin, draw clock faces
to show the time.
 quarter to I I
 quarter past I
 7:li5 h
 8:25 h
Write these times in digits.
if 6 min to 3 2:5lr hours
 I I min past 5 1
 quarter past 7
 I2 min to Li
 quarter to I0
Write the time 4 hours later
than:
 6:I5`a.m. b. l:48p.m.
 0:35p.m. d. Q:30a.m.
P:143
What was the time 2 hours
earlier than:
 :I0 p.m.? b. I2:34 a.m.?
 6:28 c.m.? d. I2:06 p.m.?
Change to 24hour clock time.
 7:I5 a.m. b. I0:7 p.m.
 Q:25 p.m. d. 3:42 p.m.
Write as I2hour clock time.
 3:40h b. 6:I0h
 23:2 h d. 00:55 h
How many minutes in:
 3 h 22 min? 5. 7 h I6 min?
 I h 58 min? d. 5 h 47 min?
Write vertically and complete.
 2h52min+3h6min
 4h25min2h35min
 8h5min+Ih55min
+ 35 min _
How many minutes in:
 3600 sec? b. 2I00 sec?
 I 40 sec? d. 3540 sec?
How many seconds in:
 47 min? b. 2 h 8 min?
 I h 35 min? d. I h 46 min?
Solve these problems.
 If a train leaves Station A
at 20:5 h and reaches
Station B lo? hours later,
at what time does it arrive
at Station B?
 A cricket match began at
0:05 a.m. and went on
until 5:20 p.m. How long
did the match last (in hours
and minutes)?
Find the common factors and
the HCF of:
 2I, liq, 28 b. l8, 36, 51
 I6, 24, 32 d. I0, I6, I8
Are these prime (p) or
composite (c) numbers?;[?
 26 b. 27 C. i’‘%
 3 e. 55 f. 4
Use the division method to find
the LCM of these pairs.
 32 and 24 b. l5and 35
 20and6 d. 7and0
Use the division method to find
the HCF of these pairs.
 28 and 35 b. 21 and 42
 I6 and 24 d. Q6 and 60
Reduce these fractions to their
lowest terms. L
28 ’ 55 96
° E b~ E ‘ wt
Write as decimal fractions.
4 2 Q
 Zlooo »b. Sq c. Q50
23 I QI
 ISW e. 55 f. mow
€hange into improper fractions.
2 I 7
 3; b. 57 c. 6m
P:144
Change into mixed numbers.
48 35 55
 ? b. ? c. K
Divide and give each answer as
a mixed number in its lowest
terms.
 za+e iq. I02+ 6
 34+7 d. eq+ 6
 52+8 f. ss+o
Rewrite each pair with a
common denominator, then
write sgmbols in place oi *
(>, <1 =)_ ”
2 *Q i*E
°’ 7 Q b’ I5 45
5 .Q
 5 3
Complete, using ang method*
4 3 I _ 2
 2n+6TT b. lZ+5§
Q 3 3 7
 5T6’w 6?Zi
Write as fractions.
 3.8 b. 2I.84
 7.29 d. Qqfiqfi
 0.06 f. 5.05
Fill in the blanks.
 ,mx I8m =360m2
 22m><,m =836m2
 _`m><li5m=2835m2
Work out these areas (in ml).
 Rectangular room,
4.5 m >< 3 m
 Square garden, each side
I5 m
 Carpet, 2.5 m >< 5 m
Solve these.
 If the perimeter of Javed’s
garden is 220 m and one
side is 20 m long, how long
is the other side? f’
 Shirin’s dream house is on a
plot of land 52 m long and
28 m wide. What is the
area ofthe plot?
 If the area of a rectangle is
742 cmz and one side is
53 cm, ‘find its perimeter.
Write in decimal form..
 Stenths
 49 thousandths
 23 hundredths d. %
Write in decimal: form.
I 49 
 lg b. nm c. 4%
Write each of the following as
fractions.
 3.8 b. 20.02
 42.l d. 3824.96
253 is L
d’ 3ooo e’ 5oo f’
P:145
46
47
48
49
50
SI
2
3
Tick the numbers written to
2 decimal places.
 3. 64 b. I6.4q C. 20.30
 8.9 e. 28.032 f. 7.03
Complete.
 62kl and 51;/cl
 l43kgand 0g=_kg
 I2 kmond 460 m =+ km
Complete.
 2 hectograms = g
 li decalitres =1 1
 I decilitre = 1
 2 milligrams = g
. Write these lengths in m.
 42 mm b. 6.8 cm c. I
How many litres in:
 4.32kl b. 285.
 0.0likl d. 6.253
Write these weights in g.
7
 .6l2 kg b. 64.
 0.02 kg d. 20.
Fill in the blanks.
 3985 p = Rs*
 42 g = _ kg
 2 I = _` kl
.5 cm
kl
kl
2 kg
65 kg
Draw, label, and name these
angles. Are they acute, o
or right angles?
 LABC = 30° b. LRST
 LPQR = I20° d. LEFG
btuse,
= 45°
= °0°
Without using your protractor,
find the missing angle.
i 7 s 1
Fill in the blanks.
 A triangle with no equal
sides is called a _ triangle.
 Lines which are
perpendicular to one
another have a _ angle
between them.
 The basic units of
measurement are the _
for length, the _ for
weight, and the _ for
capacity.
 We measure angles by a
unit called the __ There
are _ of them in a
complete turn (or circle).
 A chart in the shape of a
circle is called a _ chart.
P:146
Meet Mick, Mandy, Meg, Mani, and Mona
Sid and Sara Spacewalker live in Planet Citg, Superglobe_
Their nextdoor neighbours are Mick and Mandy Moon.
The Moons, like the Spacewalkers, have three children: Meg, Mani, cmd
Mona (Mani and Mona are twins.).
_ _ _ l_k
The Moons want to make a set of graphs about ther famlg, just  e
the ones on page I3q of this book.
H l them repare the graphs:
9 P P
 Copy each emptg column graph shown below in your notebook or on
squared paper.
 Studg carefullg the information to be entered on the graph.
how the information correctlg.
 Then colour the columns to s
‘ h fthe Moons (cm)
 Age ofthe Moons (gears) B Helg I 0
P:147
ri
i
T WORKSHEET
Number World
Each question is followed bg four answers, only one of which is correct.
Choose the correct answer and underline it.
 What is the value of 8 in the numeral 8,°64?
 800 b. 8000 c. 80,000 d. 8
 How mang hundreds are there in 60,0007
 60 b. 6000 c. 600 d. 60,000
 500,000 is the same as ~
 5 lakh b..,,_5O lakh c. 500 lakh d. 5000 lakh
 How mang thousands are there in ten lakh?
 00 b. 000 c. I0 d. 0,000
 The product of 8000 and 8 is
 640 b. 64,000 c. 8000 d. 6400
 The greatest 6digit numeral that can be formed with the digits 8,
4, I, 5, and 6 is
 65,480 b. 864,50 C. 865,40 d. 846,50
 On adding 400 to 6‘%,600, we get
 70,O0 b. 7000 c. 7,000 d. 70,000
 In the product of 345 and 6, which digit is in the thousands place?
 2 b. 0 c. 7 d. 5
 Divide the sum of 23 and 378 bg 7. The answer is ,
 2 b. 54 C. 33 d. 87
 Ten thousand less than one lakh is
 90,000 b. ‘000 C. 95,000 d. ‘00
O
P:148
\
WORKSHEETZ
BruinStretching
Help Sid work out these problems using his brain!
I
2
3
4
5
6
7
8
Q
IO
Ii
I2
I3
Ili
I5
ZQ months is _ gears and _ months.
How many dogs are there in
I _
2; m – _ cm.
The only even prime number
iof a dag = _ houif.
The LCM of 8 and I2 is
080 + Q = _.
Which of these is divisible by
I I _
85 – 75 – _
2000 ml = _ l.
The prime number after IQ is
A minutes = _ seconds
2 _ 4
E is the same as ;.
Is 8 a multiple of Zh?
I more than 70,099 is __
<
I 5 weeks?
is
qi 8O°\ or 34lO?
P:149
T WORKSHEET3
Problem Solving is Fun
Read each problem carefully before solving it.
 Tasty Bakery made 0,000 brownies for a party. 2750 brownies had
walnuts and the rest were plain. How many plain brownies were
there?
 3,4‘i0 people attended the Trade Fair on Friday; i5,75O on Saturday;
and 20,700 on Sunday. How many people attended the Fair
altogether? V
 The cost of one ticket to a rock concert is Rs 750. A group of 35 7
people wish to go. What would the total cost of the tickets be?
 4800 books were arfanged on 20 shelves. Each shelf contained an
equal number of books. How many books were arranged on each
shelf?
 What will the cost of 32 calculators be if one costs Rs 3507
 The population of a town was 7,%,5i4 in 2009. It decreased by
i,25,600 the following year. What was the population in 2O0?
 A man bought a house for Rs IQ,75,000. He sold it for Rs 25,00,000.
What was his profit?
 I can pack 72 puzzle boxes in one carton. How many cartons do I
need to pack 800 puzzle boxes?
P:150
WORKSHEET 4
Geometry
Each question is followed by four answers, only one of which is correct.
Choose the correct answer and underline it.
 A square has __ angles.
 I b. 2 c. 3 d. 4
 The sum of the angles of a triangle adds up to ,_.
 60° b. 75° c. I2O° d. 80°
 A ray has #__ end point(s).
 0 b. I c. 2 ai. numerous
 The isosceles triangle has equal angles.
 0 b. 2 c. I d. 3
 A pentagon has _ angles.
 6 b. 5 c. 3 d. 7
 Study the figure and answer the questions.
 This is a 4 sided figure. Q _
 It has right angles.
 It has vertices.
 It has angles which are ° °
greater than a right angle. ~
 It has i angles which are _/
less than q0°.
P:151
E
WORKSHEET 5
Time to Look Back!
 How quickly can you solve these?
 2400 more than 39,640 = .
 I6 more than double of Ili = ___
 éof a day = _ hours
 0.635 = (expressed as a fraction)
 8 h I5 mins = mins.
 Write the successor of:
 8,4q,20q b. 3‘fI,4Q,qO0 C. I40,5qq
 Write the predecessors of:
 6q,0‘I,0q0 b. 30,I0,000 C. 500,490
_ Circle the multiples of I2.
I 1
Crcle the multnples of 8
4’~7160 Q
Crcle all the factors of I8
Crcle all the factors of 63
State whether True or False
a No number can have 0 as a factor.
b I I and I3 are prme numbers.
c The only even prme number is 2.
d The smallest factor that a number can hav
Complete these factor trees
6
4
24 74 zoo so qs
2 5. ‘ ‘ _
I6 za 3<a _ eos
 ” » .
3 6 2 7 II Q 
‘ 7. ‘ .
I Q 2 3 7 I 6
_
/< /1
® /°\ ® /@\
eisl
P:152
woR<sEET 6
Ready, Set, Go!
Each section should take you one minute to solve. Set your timer and go!
Section I
 Change each improper fraction to a whole number or a mixed
number.
6 08 I4 I9
 g b T c ? d. F
27 Q I2 28
 ~€ f. 2 g. T h. ?
Section II ~,_
 Tables are fun. Work these out quickly.
 8 X b. 7 X 7 = _
 5 X d. 9 X 8 = _
 Ili X ‘f. 40 X 4 = ____
 20X h.( 60><I0O=__
 o>< j. 7o>< 7o=_m
‘ k. IQX l. I00>< O=_
Section III
 Now find the quotient. Be quick but sure.
 I6
 I8
 Q0
 70
 40
 50+ 5;
 200+20=9
 000+O=)
 08+2=)
 24o+2= ~
P:153
‘ WORKSHEET 7
Area and Perimeter
l§§lllll§lllllQ!
@@§§llll%llll§!%%
 §§@l!l&§%!!l@§§§
 %%§l@§§%§§“l§@§¥
 @§%ll@%§§%llwl@%
l%%llll§%@lllllllh<m
lcm
Studg the figures given above carefullg. Now answer these questions bg
ticking the correct option.
 The area of figure A is
 I4 cmz b._ 2Qfcm2 c. I6 cm2 d. I8 cmz
 The area of figure B is bigger than the area of figure C by
 3 cmz b. I7 cm2 c. I4 cm2 d. 3 cm2
 The total area of the three figures is
 45 cmz b. 55 cmz c. 25 cmz d. 35 cmz
 The perimeter of figure C is `
 I8 cm b. 22 cm c. 20 cm d. 24 cm
 The area of the rectangle given alongside is SU”
 26 cmz b. 36 cmz
 45 cmz d. 32 cm2 “””
7““‘ 7m
 The perimeter of this figure is __ m. am 5 m
Illm
 The length of a rectangular field is ‘I5 m and its breadth is 38 m.
Ahad ran round the field 3 times.
 Find the perimeter of the field. b. How far did Ahad run?
P:154
WORKSHEET 8
.IL `».,,, .I
Fractions Again
Section I
 What fraction of a dag is 6 hours?
 What ‘fraction ofa week is li dogs?
 What fraction of an hour is I5 minutes?
Section II _
 Reduce the fractions to their lowest terms.
64 36 I5
°~ % ‘° m C §
 Fill in the blanks. V
4 _ 7 72 I 6 8 _ za
°~§’% b n’?n C E’7
 Feroze bought 2 I of milk. He drank é Z and his brother drank é l.
He had l of milk left.
Section III –
 Maha ate é of a cake. Her sister ate % and her brother ate é of the
same cake. What fraction ofthe cake did they eat altogether?
3 I ‘I 2
 3 b. W c. E d. g
 Put the correct sign < , > , or =. , V
8 li 9 2 Ili 4 3 ‘I
0 EEE b Egg ,C gijfg d gljg
f
end