Teacher’s
MANUAL
Mastering
Math
=* +
×÷
Class–4
+
÷ – ×
Class-4
1
+
÷
–
×
Large Numbers
Let us Revise
1. Write the number-names for the following numerals :
(a) One thousand three hundred fifty-six.
(b) Three thousand eight hundred twelve.
(c) Five thousand six hundred sixty-eight.
(d) Six thousand seventy nine.
2. Write numerals for the following number-names :
(a) 3304
(b) 4336
(c) 7789
(d) 8142
3. Write the expanded form of :
(a) 4000 + 600 + 20+3
(b) 7000 + 800 + 20 +16
(c) 2000 + 200 + 40 + 8
(d) 3000 + 600 + 40 + 8
4. Write the numerals for the following expanded forms :
(a) 2082
(b) 5562
(c) 4288
(d) 7202
5. Write the place-value of 3 in the following numbers :
(a) 30
(b) 30
(c) 3
(d) 300
(e) 3000
(f) 30
(g) 300
(h) 3
Exercise -1.1
1. Write the following numbers by placing commas
according to Indian system :
(a) 38548 — 38,548
(b) 84132 – 84,132
(c) 700945 —7,00,945
(d) 499,878 – 4,99,878
(e) 887567 —8,87,567
(f) 690789– 6,90,378
(g) 578973 — 5,78,973
(h) 6000512 – 6,000,512
2. Write the following numbers by placing commas
according to the International system :
(a) 73859 – 73,859
(b) 92417 – 92,417
(c) 86603 – 86,603
(d) 988425 – 88,425
157
+
÷
–
×
+
3.
+
÷
4.
5.
6.
7.
–
×
×
÷
(e) 602007 – 602,007
(f) 820432 820, 432
(g) 958261 – 958, 216
(h) 732984 – 732, 984
Write the following numerals in words according to
Indian system :
(b) 548307 : Five lakh forty eight thousand three hundred
seven.
(c) 846009 : Eight lakh forty six thousand nine
Write the following numerals in words according to
International system :
(b) 70394 : Seventy thousand three hundred ninty four.
(c) 84573 : Eighty four thousand five hundred seventy
three.
Write the following in numbers according to Indian
system :
(a) 80209 (b) 605703
(c) 413838 (d) 918927
Write the following in numbers according to
International system :
(a) 65206 (b) 80238
(c) 505309 (d) 863509
100 thousand
8. 100 lakhs
Exercise - 1.2
1. Write the numeral and the number-name which each
abacus represent in Indian system of numeration :
(a) Numeral : 24232
Number Name : Twenty four thousand two hundred
thirty-two
(b) Numeral : 12324
Number Name : Twelve thousand three hundred
twenty-four.
(c) Numeral : 313183
Number Name : Three lakh thirteen thousand one
hundred eighty-Three.
(d) Numeral : 433643
Numeral Name : Four lakh thirty three thousand six
hundred forty-three.
158
+
÷
–
×
×
÷
+
2. Represent the given numeral on the abacus :
(a)
(b)
T-Th Th
+
÷
–
×
H
T
O
H-Th T-Th Th H T O
Exercise-1.3
1. Determine the face-value and place-value of the coloured
digit in Indian system :
(a) Face value -8; Place-value -8000
(b) Face value -8; Place-value -80000
(c) Face value -3; Place-value -300
(d) Face value -6; Place-value -6000
(e) Face value -4; Place-value -4000000
(f) Face value -5; Place-value -500
2. Determine the face-value and place-value of the coloured
digit in International system :
(a) Face value -8; Place-value -800
(b) Face value -2; Place-value -200
(c) Face value -8; Place-value -800
(d) Face value -8; Place-value -80000
(e) Face value -7; Place-value -70000
(f) Face value -3; Place-value -30000
3. Face value -3;
Place-value 30000
Difference
= 30000–3
= 29997
4. Face-value of two 7's are = 70, 700
Difference
= 700– 70
= 630
5. Face-value of 6’s are = 60,6000,60000
Sum
= 60 + 6000 + 60000
= 66060
159
+
÷
–
×
+
+
÷
–
×
×
÷
Exercise-1.4
1. Write the following in expanded from :
(a) 13,765 = 10000 + 3000 + 700 + 60 + 5
(b) 48,943 = 40000 + 8000 + 900 + 40 + 3
(c) 65,817 = 60000 + 5000 + 800 + 10 + 7
(d) 89,564 = 80000 + 9000 + 500 + 60 + 4
(e) 71,508 = 70000 + 1000 + 500 + 00 + 8
(f) 2,45,326 = 200000+ 40000 +5000 + 300 + 20+6
(g) 3,14,326 = 300000 + 10000 + 4000 + 300+ 20 + 6
(h) 5,26,723 = 500000 + 20000+6000 + 700 + 20 + 3
2. Write the following in short form :
(a) 40,000 + 7000 + 400 + 20 + 3 = 47423
(b) 500000 + 60000 + 8000 + 400 + 50 + 7 = 568457
(c) 2 ten thousands + 4 thousands + 8 hundreds + 4 tens
+6 ones = 24846
(d) 8 lakhs + 7 ten thousands + 5 thousands + 2 tens +
8 ones = 875028
(e) (3×10000) + (4 × 1000) + (8 × 100) + (5 × 10) +
(4 × 1) = 34854
Exercise-1.5
1. Write >, < or = in the box given between two numbers
(a) <
(b) >
(c) >
(d) <
2. Write the following in ascending order :
(a) 7683, 23357, 65274, 67789
(b) 87676, 89376, 846526, 849826
(c) 59247, 576427, 584277, 588887
(d) 676875, 682623, 687328, 687929
3. Write the following in descending order :
(a) 96984, 66984, 56984, 36984
(b) 74938, 74828, 74288, 71508
(c) 458528, 346508, 151618, 95708
(d) 772416, 745316, 734726, 78756
160
+
÷
–
×
+
+
÷
–
×
×
÷
Exercise-1.6
1. Write the predecessor and successor of the following
numbers :
(a) Predecessor 29399, Successor 29401
(b) Predecessor 80198, Successor 80200
(c) Predecessor 502489, Successor 502491
(d) Predecessor 897998, Successor 898000
2. Form the smallest and greatest numbers using the
following digits :
(a) Smallest 20459, greatest 95420
(b) Smallest 10237, greatest 73210
(c) Smallest 123589, greatest 985321
(d) Smallest 234678, greatest 876432
(e) Smallest 104789, greatest 987410
(f) Smallest 305678, greatest 876530
3. Write the :
(a) 11111
(b) 99999
4. Write the greatest :
(a) 98376
(b) 938765
5. Change the positions of the digits. If necessary to get the
smallest and the greatest 5-digit numbers :
(a) 86393, Smallest 33689, greatest 98633
(b) 39568, Smallest 35689, greatest 98653
(c) 35027, Smallest 20357, greatest 75320
(d) 75193, Smallest 13579, greatest 97531
Exercise-1.7
1. Round off the following numbers to the nearest ten :
(a) 57 - 60
(b) 5445 -5450
(c) 1282-1280
(d) 6504 - 6500
2. Round off the following numbers to the nearest hundred :
(a) 21367 - 21400
(b) 68321 -68300
(c) 57384 - 57400
(d) 70468 - 70500
(e) 89661 - 89700
161
+
÷
–
×
+
+
÷
–
×
×
÷
3. Round off the following numbers to the nearest
thousands:
(a) 28765 - 29000
(b) 46324-46000
(c) 61946 - 62000
(d) 52345 - 52000
(e) 76832-77000
4. Round off the following numbers to the nearest lakh:
(a) 2745515 - 2700000
(b) 385672 - 390000
(c) 432196-40000
(d) 564780 - 570000
(e) 627789- 60000
MCQs
1. (a) 2. (b)
3. (a) 4. (c) 5. (c)
2
Roman Numeral
1. Write the Roman numerals for the following HinduArabic numerals :
(a) XIII
(b) XXIV
(c) XLIV
(d) LXXXIV
(e) CVII
(f) CXXIII (g) CXCIV (h) CCXXI
2. Write the Hindu-Arabic numerals for the following
Roman numerals:
(a) 27
(b) 35
(c) 501
(d) 324
(e) 114
(f) 223
3. Match the following :
(a) 4
(b) 10
(c) 13
(d) 25
(e) 22
(f) 38
4. Put ‘<’ or ‘>’ :
(a) >
(b) = (c) < (d) < (e) < (f) >
5. Write in ascending order :
(a) III, VII, X, XX, XXIV, XXVII
(b) I, IX, XXI, XXII, XXV, XXX
(c) IV, V, XII, XXVII, XXIII, XXXI
(d) VII, X, XXII, XXIV, XXVI, XXXIX
162
+
÷
–
×
+
+
÷
–
×
×
÷
6. Write in descending order :
(a) XXXI, XXIII, XVII, XVI, IV
(b) XXX, XXVI, XXI, XI, IX, IV
(c) XXXVI, XXXII, XXIX, XVIII, XIV, VI
(d) XXXV, XXIX, XXVIII, XII, XIV, VI
MCQs :
Tick (3) the correct option :
1. (b) 2. (c) 3. (d) 4. (c) 5. (b)
3
Addition and Subtraction
Let us revise
1. Add :
(a) Th. H. T. O.
6
+ 2
8
6 6 6
1 4 7
8 1 3
(d) Th. H. T. O.
4
+ 4
8
5 6 7
3 3 3
9 0 0
2. Subtract :
(a) Th. H. T. O.
(d)
9
+ 3
6
8 5 4
4 1 3
4 4 1
Th.
8
+ 5
3
H.
5
3
2
T.
4
2
2
O.
7
4
3
(b) Th. H. T. O.
2 1 5
7 8 9
0 0 4
7
+ 1
9
(c) Th. H. T. O.
6
+ 2
8
4 2 8
1 5 7
5 8 5
(e) Th. H. T. O.
7 7 2
3 4 7
1 1 9
3
+ 5
9
(b) Th. H. T. O.
7 0 8
2 0 4
5 0 4
6
+ 4
2
(e)
Th.
7
+ 3
4
H.
7
6
1
163
T.
8
5
3
O.
9
4
5
(c) Th. H. T. O.
5
+ 4
1
3 9 6
2 7 2
1 2 4
+
÷
–
×
+
+
÷
–
×
×
÷
3. Solve the following
(a) A Postman delivered letters in first week = 1738
delivered letters in second week = 2876
Letters deliver in two weeks
= 1738 + 2876
= 4514
(b) A Factory produced screws in a week = 27689
It produced more screws
= 10322
Second week produced
= 27689 + 10322 = 38011
(c) There are apple trees
= 5253
mango trees
= 1077
Orange trees
= 2378
total Number of trees
= 5253 + 1077 + 2378= 8708 trees
(d) Spends on food
= ` 4935
On rent
= ` 3385
On other items
= ` 2545
total monthly expenditure
= ` 4935 + ` 3385 + ` 2545
= ` 10865
Exercise -3.1
1. Add the following :
(a)
(b)
T.Th
3
+ 2
5
Th.
2
4
6
H.
5
3
8
T.
2
6
8
(c)
O.
T.Th Th.
5
5 3
3 + 3 5
8
8 8
H.
4
2
6
T.
3
4
7
O.
4
2
6
T-Th
3 3
3 2
+
2 2
8 7
2. Add the following by arranging in columns :
(a)
(b)
T-Th
2
+ 5
2
9
Th.
3
4
1
8
H.
4
3
2
9
T.
3
0
4
7
O.
4
3
1
8
T-Th
5 3
3 3
+
1 2
9 8
164
Th.
1
5
2
8
H.
2
4
3
9
T.
4
3
1
8
O.
4
3
2
9
Th.
3
4
1
8
H.
2
6
1
9
T.
6
0
2
8
O.
3
0
2
5
+
÷
–
×
×
÷
+
Exercise -3.2
1. Add the following :
(a) L.T–Th Th. H. T. O.
1
5 2
+ 3 6
8 9
+
÷
1
4
5
0
1
6 3
9 7
6 0
L. T–Th Th.
(c) 1 1 0
5 4 5
+ 1 7 8
7 2 3
H.
1
3
5
9
T.
1
8
2
1
O.
L. T–Th Th.
1 1 1
3 1 2
+ 2 7 8
2 7
6 1 8
H.
1
2
6
5
4
T.
1
3
6
2
2
O.
L. T–Th Th.
0 1 1
4 3 2
+ 2 3 1
1 1 7
7 8 1
H.
1
6
3
8
8
T.
2
7
2
5
6
O.
(e)
(g)
–
×
1
8
8
7
(b)
5
7
2
L. T-Th
1 1
2 6
+ 4 3
7 0
Th.
1
8
7
6
H.
0
4
8
2
T.
1
5
2
8
O.
L. T–Th
(d) 0 0
4 6
+ 2 3
6 9
Th.
1
4
3
8
H.
1
3
8
2
T.
1
9
5
5
O.
L. T–Th Th.
2 2 1
1 2 5
+ 2 8 7
3 9 8
8 1 1
H.
1
4
6
5
6
T.
1
3
8
6
8
O.
L. T-Th
1 1
2 5
+ 1 7
5 2
9 5
H.
1
7
3
6
7
T.
2
8
2
3
5
O.
(f)
4
5
6
5
(h)
8
5
9
2
Th.
1
6
5
7
9
4
6
0
7
3
0
2
7
3
2
9
8
5
2
2. Write each of the following in the columns and find their
sum :
(a) 32158+ 4305
= 36463
(b) 98171 + 5352
= 103523
(c) 562868 + 23 + 245
= 563136
(d) 345209 + 139227
= 484436
(e) 315412 + 40798 + 18157 = 374367
3. Smallest 6-digit Number
= 100000
Smallest 5-digit Number
= 10000
Sum of digit = 100000 + 10000 = 110000
165
+
÷
–
×
+
×
÷
Exercise-3.3
1. There are bags of rice
bags of wheat
bags of sugar
Total number of bags
+
÷
–
×
2.
3.
4.
5.
= 23578
= 45326
= 2569
= 23578 + 45326 + 2569
= 71473 bags
Produced toys in January = 42567
toys in February
= 25789
Toys in march
= 22578
Produce in three months = 42567 + 25789 + 22578
= 90934
A company made trucks = 142921
Scooters in one year
= 52781
Made altogether vehicles = 142921 + 52781
= 195702
On Sunday watched cricket match = 176887
On Monday
= 88776
On Tuesday
= 38877
People watch match all the three days
= 176887 + 88776 + 38877
= 304540
Praveen’s income during the year 2011 = ` 396597
Next year exceeded income
= ` 85996
he earn these two years = ` 396597 + ` 85996
= ` 482593
Exercise-3.4
•
1.
2.
3.
4.
5.
Fill in the blanks :
24156 + 3689
3827 + 830
3407 + 0
0 + 65245
7486 + (3174 + 3885)
=
=
=
=
=
166
78845
0 + 4657
3407
65245
(3174 + 7486) + 3174
+
÷
–
×
+
×
÷
Exercise 3.5
Subtract the following :
(a) 7 6 3 7 4
(b) 6 6 6 5 3
– 6 3 2 7 3
1 3 1 0 1
+
÷
(d)
7 8 7 6 8
(e) 7 1 4 8 6
– 5 4 3 4 3
2 4 4 2 5
– 7 0 3 6 4
0 1 1 2 2
– 3 5 2 7 4
1 2 2 2 1
(f) 8 9 8 6 2 3
–
5 4 3 1 2
8 4 4 3 1 1
Exercise 3-6
Subtract the following :
(a)
(b)
3 8 3 2 0
4 9 0 2 3
– 2 7 6 3 8
1 0 6 8 2
– 1 8 7 5 2
3 0 2 7 1
(d)
–
×
– 5 3 3 1 2
1 3 3 4 1
(c) 4 7 4 9 5
7 3 2 9 3
(e) 6 3 2 4 6
– 3 4 6 8 1
3 8 6 1 2
– 4 3 7 5 8
1 9 4 8 8
(c)
6 8 6 3 7
– 3 4 8 9 1
3 3 7 5 8
(f)
8 4 6 2 8
= 42875
=0
= 69455
= 89647
Exercise -3.8
1. Determine the missing minuend and check your answer :
(a) minuend
= 57788
subtrahend = 35352
Difference = 22436
(b) minuend
= 97742
subtrahend = 57845
difference
= 39897
167
÷
– 7 1 8 7 9
1 2 7 4 9
Exercise-3.7
Fill in the blanks :
(a) 42875 – 0
(b) 36732 – 36732
(c) 69455 – 0
(d) 89647 – 0
+
–
×
+
+
÷
–
×
(c) minuend
subtrahend
difference
(d) minuend
subtrahend
difference
2. Determine the
answer:
(a) Minuend
Subtrahend
Difference
(b) Minuend
Subtrahend
Difference
(c) Minuend
Subtrahend
Difference
(d) Minuend
Subtrahend
Difference
×
÷
= 247249
= 238392
= 8857
= 377480
= 237826
= 139654
missing subtrahend and check your
=
=
=
=
=
=
=
=
=
=
=
=
365686
275813
89873
228609
82077
146532
476884
202049
274835
625302
291766
333536
÷
Exercise -3.9
Find the missing digits :
(a)
(b)
4 2 1 3 5
+ 4 6 8 4 9
8 8 9 8 4
(d)
6 8 4 2 2 6
+2 7 7 8 9 5
9 6 2 1 2 1
5 6 2 9 6
(c)
4 2 5 1 5 4
– 1 2 8 0 9 3
+ 4 5 4 3 3
5 9 5 6 8 0
168
3 5 3 6 5
+ 1 2 2 7 8
4 7 6 4 3
+ 2 8 9 4 5
8 5 2 4 1
(e)
+
(f)
2 2 5 7 3 2
– 1 4 1 1 5 4
6 1 2 1 1 1
9 7 8 9 9 7
–
×
+
×
÷
Exercise -3.10
1. In examination candidates appeared
= 253380
Passed candidates
= 202078
Failed candidates
= 253880 – 202078
= 51302 candidates
+
÷
2. Megha need
= ` 256000
She had
= ` 65970
She still short
= ` 256000 – ` 65970
= ` 190030
3. Ramesh had his bank account
he bought a scooter for
= ` 35978
money left his bank account
= ` 72532 – ` 35978
= ` 36554
4. The difference of two numbers
–
×
= ` 72532
= 74165
smaller number
= 74165 – 45716
= 28449
= 65748
Female student
= 42546
Male students
= 65748–42546
= 23202
Exercise -3.11
Solve the following :
(a) 34653 + 32142 – 14200 = 52595
(b) 54690 + 12040 – 55432 = 11298
169
÷
= 45716
larger number
5. There are student in a college
+
–
×
+
×
÷
(c) 25462 – 10321 – 11056 = 4085
(d) 90503 – 31410 – 12841 = 46252
MCQs
1. (b) 2. (a) 3. (d) 4. (b) 5. (d)
+
÷
–
×
Formative Assessment-1
(Based on chapter 1-3)
1. Write the expanded form of :
(a) Four thousand six hundred twenty-three
(b) Seven thousand eight hundred twenty-six
(c) Two thousand two hundred forty-eight
(d) Three thousand six hundred twelve
2. Put ‘<’, ‘>’ or ‘=’ :
(a) >
(b) >
(c) =
(d) >
(e) <
(f) <
(g) =
(h) <
(i) >
3. Write the Hindu-Arabic numerals for the following
Roman numerals :
(a) 27
(b) 35
(e) 114
(f) 223
4. Add :
(a) 6 1 0 4 1 4
55220
+3 0 5 5
668689
(c) 409
(g) 639
(b) 3 1 4 3 1 4
242123
+4 3 2 1 4 1
988578
(d) 14
(h) 1621
(c) 5 1 2 2 0 4
233433
+1 2 2 3 4 2
867979
5. Find the missing digits :
(a)
52097
+33154
85251
(b)
48872
+34541
83413
170
(c) 5 0 4 9 1
+38938
89429
+
÷
–
×
×
÷
+
4
Let us Revise
1. Multiply :
(a)
+
÷
–
×
3 3 6
Multiplication
(b)
1 8 9 7
(c)
2 9 1 5
(d)
1 5 6 5
× 4
× 3
× 3
× 5
1 5 4 4
5 6 9 1
8 7 4 5
7 8 2 5
2. Solve the following :
(a) One video game cost
games cost
= ` 350
= 27 × 350
= ` 9450
(b) A truck can carry bags of rice = 95
Each bag weight
= 70 kg
total weight of rice
= 95 × 70
= 6650 kg
(c) Each students given cloth
= 4m
students in school
= 1650
= 6600m
(d) The cost of an iron is
= ` 875
Cost of 11 such irons
= 875 × 11
= ` 9625
Exercise -4.1
1. Write a multiplication form for each of the following :
(a) 15 + 15 + 15 + 15 = 15 × 4
(b) 25 + 25 + 25 + 25 + 25 = 25 × 5
(c) 8 + 8 + 8 + 8 + 8 + 8 = 8 × 6
2. Write the product:
(a) 2 × 10
= 20
(b) 15 × 10
= 150
(c) 186 × 10
= 1860
171
+
÷
–
×
+
(d) 1360 × 10
(e) 5 × 100
(f) 16 × 100
(g) 145 × 100
(h) 1346 × 100
(i) 546 × 1000
+
÷
–
×
×
÷
=
=
=
=
=
=
13600
500
1600
14500
134600
546000
Exercise-4.2
1. Multiply the following :
(a) 1 2 4 6 (b) 2 2 2 3 (c)
2 3 4 1
(d)
1 1 0 2
× 3
× 2
× 4
× 5
3 7 3 8
4 4 4 6
9 3 6 4
5 5 1 0
(e) 1 8 3 8
(f)
2375
(g)
4 2 3 2
(h)
1 2 7 6
× 4
×5
× 2
× 4
7 3 5 2
11875
8 4 6 4
5 1 0 4
2. Find the product of the following :
(a) 1234 × 3
= 3702
(b) 4557 × 4
= 18228
(c) 2356 × 4
= 9424
(d) 2673 × 5
= 13365
(e) 3678 × 3
= 11034
(f) 6573 × 6
= 39438
Exercise -4.3
1. Multiply the following :
(a) 6 7 3 5 (b) 2 3 7 6 (c)
9 4 9 5
(d)
4 7 3 8
×18
×43
×25
×58
121230
102168
237375
27804
(e) 1 3 7 5 6 (f)
15278
(g) 2 2 8 9 4 (h) 1 3 1 5 0
×63
×69
×43
×72
866628
1054182
984442
946800
172
+
÷
–
×
+
+
÷
–
×
×
÷
2. Find the product :
(a) 2453 × 24
(b) 2875 × 43
(c) 3097 × 58
(d) 2056 × 72
(e) 8795 × 64
(f) 7348 × 76
=
=
=
=
=
=
58872
123625
179626
148032
562880
558448
Exercise -4.4
1. Find the product :
(a)
2 3 8 (b)
(e)
2 4 6 (c)
5 3 9 (d)
287
×275
×377
×209
×325
65450
92742
112651
93275
1 7 6 3
(f)
2618
(g)
6475
(h)
3 8 7 2
×594
×285
×915
×803
1047222
746130
5924625
3109216
2. Multiply the following :
(a) 315 × 213 = 67095
(b) 468 × 189 = 88452
(c) 244 × 245 = 59780
(d) 678 × 337 = 228486
(e) 614 × 532 = 326648
(f) 532 × 621 = 330372
Exercise -4.5
1. A table lamp cost
cost of 56 table lamps
2. One mobile phone costs
cost of 68 mobile phones
3. A box of mangoes contains
173
= ` 187
= 187 × 56
= ` 10472
= `1295
= 1295 × 68
= `88060
= 195
+
÷
–
×
×
÷
+
there in 645 such boxes
4. A factory manufactures watches
manufactures watches whole year
+
÷
–
×
5. Mr. Vijay saves
he saves in 7 years
6. A factory manufactures a week
rickshawas manufact by whole
year
= 195 × 645
= 125775
= 485
= 485 × 365
= 177025 watches
= ` 750
= 750 × 7
=` 5250
= 840
= 840 × 52
= 43680 rickshaws
÷
MCQs
1. (b) 2. (b) 3. (a) 4. (c) 5. (b)
5
Division
Let us Revise
1. Find the quotient :
(a) 84 ÷ 7 = 12
(e) 155 ÷ 5 = 31
(b) 81 ÷ 9 = 9
(f) 215 ÷ 5 = 43
(c) 112 ÷ 8 = 14
(g) 140 ÷ 4 = 35
(d) 90 ÷ 6 = 15
(h) 232 ÷ 2 = 116
2. Divide, find the quotient and remainder :
(a) 244 ÷ 8
(b) 6687 ÷ 5
8
244
24
04
+
30
5
Q = 30
R = 40
174
6
5
1
1
0
0
0
0
0
6 8 7 1337
6
5
1
1
0
0
0
8
5
37
35
02
Q = 1337
R=2
–
×
×
÷
+
(c) 9815 ÷ 7
7
+
1 5 1402
5
4
1
7
÷
51
–5 0
10
–1 0
05
0– 5
00
7
Q = 1021
R=0
(g) 3114 ÷3
3
31
–3
01
0– 9
02
0– 2
00
9 0 2 1414
9
8
10
0– 7
032
0– 2 8
004
Q = 1402
R=1
(f) 7953 ÷ 7
0 5 1021
5
5
4
9
–7
2
–2
0
0
0
0
0
Q = 1402
R=1
(e) 5105 ÷ 5
5
–
×
98
–7
28
–2 8
01
0– 1
00
(d) 9902 ÷ 7
795
–7
09
–7
0
025
0– 2 1
004
–4
00
000
3 1136
3
2
1
Q = 1136
R=1
(h) 4004 ÷ 7
1 4 1038
7
1
4
4
×
4 0 0 4 572
–3 5
050
–4 9
0
0014
0 0– 1 4
Q
00×
Q = 1038
R=0
3. Solve the following :
(a) There are classes in a school
There are students in the school
students in each class
(b) A worker earned in 6 day
He earned on each day
175
+
= 572
R=0
= 12
= 648
= 648 ÷ 12
= 54 Students
= ` 960
= 960 ÷ 6 =`160
÷
–
×
+
+
×
÷
Exercise -5.1
1. Find the quotient and check your answer :
(a) 15 ÷ 3
=5
(b) 16 ÷ 4
(c) 35 ÷ 7
=5
(d) 21 ÷ 7
(e) 125 ÷ 5
= 25
(f) 228 ÷ 4
(g) 325 ÷ 5
= 65
(h) 336 ÷ 8
2. Fill in the blanks :
(a) 275 ÷ 1
= 275
(b) 0 ÷ 425
(c) 216 ÷ 216
=1
(d) 536 ÷ 0
(e) 4596 ÷ 4596 = 1
(f) 5089 ÷ 0
=4
=3
= 57
= 42
=0
=0
=0
+
Exercise 5.2
÷
–
×
1. Find the quotient :
(a) 30 ÷10
=3
(d) 60000 ÷ 100 = 600
(b) 900 ÷ 10
= 90
(e) 50000 ÷ 1000 = 50
(c) 8000 ÷ 10 = 800
(f) 700000 ÷ 100 = 7000
2. Find the quotient and remainder :
(a) 37 ÷ 10
(b) 178 ÷ 100
(c) 2765 ÷ 1000
Q= 3
Q=1
Q=2
R=7
R = 78
R = 765
(d) 51735 ÷100 (e) 134 ÷ 10
(f) 1226 ÷ 100
Q= 517
Q = 13
Q = 12
R = 35
R=4
R = 26
3. Fill in the blanks :
(a) 854 ÷ 10, Q = 85, R= 4
(b) 7432 ÷ 100, Q = 74, R = 32
(c) 15476 ÷ 1000, Q = 15, R = 476
4. Solve the following problems :
(a) A book sell bought 100 books
= ` 4300
on book price
= 4300 ÷ 100
= ` 43
(b) 16200 plants are arranged in
= 10 rows
there are each row
= 1600 ÷ 10
= 1620 rows
176
÷
–
×
×
÷
+
(c) Quotient
= 30971 ÷ 100
Q = 309
R =0
Exercise -5.3
1. Find the quotient :
(a) 365 ÷ 12
(b) 619 ÷ 28
+
÷
–
×
12
30
365
–3 6
005
Q = 30
R=5
31
43
16 6 7 5
–6 4
035
0– 3 2
03
(f) 875 ÷ 24
42
Q = 42
R=3
(g) 927 ÷18
(h) 535 ÷15
51
15 5 3 5 35
–4 5
085
0– 7 5
010
Q = 51
R=9
Q = 35
R = 10
177
8 2 3 26
–6 2
0203
0– 1 8 6
017
Q = 26
R = 17
(e) 675 ÷16
Q = 43
R=0
18 9 2 7
–90
027
0– 1 8
09
22
619
–5 6
059
0– 5 6
04
Q = 22
R=3
(d) 903 ÷ 21
21 9 0 3
–8 4
063
0– 6 3
0×
28
(c) 823 ÷ 31
24 8 7 5 36
–7 2
0155
0– 1 4 4
011
Q = 36
R = 11
+
÷
–
×
×
÷
+
2. Determine the quotient and remainder and check your
answer :
(a) 8725 ÷ 38 (b) 5054 ÷ 13 (c) 21882 ÷ 29
+
÷
–
×
0 5 4 388
9
15
04
0114
0 –1 0 4
0 010
13 5
–3
1
–1
38 8 7 2 5 229
–7 6
112
0– 7 6
0365
0–3 4 2
0 023
67 3 4
–3 3
01
0– 1
00
Q = 75
R = 13
Q = 388
R = 10
Q = 229
R = 23
(d) 3486 ÷ 67
29 2 1 8 8 7 5
–2 0 3
158
–1 4 5
13
(e) 8043 ÷ 76 (f) 5197 ÷ 73
8 6 52
5
36
34
2
76 8
–7
4
–3
Q = 52
R=2
(g) 94897 ÷95
8 9 7 998
5
39
55
847
–7 6 0
87
95 9 4
–8 5
09
0– 8
0 4 3 105
6
43
80
063
73 5 1 9 7 71
–5 1 1
087
0– 7 3
14
Q = 105
R = 63
Q = 105
R = 63
(h) 54987 ÷ 57
57 5 4 9 8 7 964
–5 1 3
0368
0– 3 4 2
267
–2 2 8
39
Q = 998
R = 87
Q = 964
R = 39
3. Divisor × Quotient + Remainder = Dividend
Divisor × 279 + Remainder = 6417
Divisor × 279 = 6417
178
+
÷
–
×
+
divisor
×
÷
= 6417 × 279
= 23
Exercise-5.4
+
÷
–
×
1. 15 employers get the same salary
total salary of month is
=
The salary of one employee =
=
2. A book contains pages
=
read pages in a day
=
she take to read the book
=
=
3. There are sections
=
total number of students is
=
there are each sections
=
=
4. One roll of film
=
required shoot Photos
=
=
5. The product of two number is =
one of the number is
=
other number
=
=
6. Marbles
=
Children
=
marbles each child get
=
=
MCQs
1. (b) 2. (c) 3. (a) 4. (d)
6
` 97500
97500 ÷ 15
` 6500
5,796
18
5796 ÷ 18
322
46
2484
2484 ÷ 46
54
32 Photos
32800 ÷ 32
1025 photos
247112
46
247112 ÷ 46
5372
73296
48
73296 ÷ 48
1527 marbles
Multiples and Factors
Exercise-6.1
1. Encircle the multiples of the given numbers :
(a) : 6, 9, 15, 18, 21, 24, 30, 42
179
+
÷
–
×
+
+
÷
–
×
×
÷
(b) : 24, 32, 36, 40, 48, 56
(c) : 25, 45, 55, 60
(d) : 12, 24, 36, 55, 60
2. Tick (3) in the box if the first number is a multiple of
second :
(a) 3
(b) 3
(c) 7
(d) 3
3. Write the :
(a) 7 × 5 = 35
(b) 9 × 3 = 27
(c) 15 × 5 = 60
(d) 10 × 9 = 90
Exercise - 6.2
1. Find the even numbers :
(a) 20, 26, 28, 584, 3250
(b) 30, 32, 410, 510, 2132, 3542
(c) 702, 704, 706, 1112, 2114, 2216, 2572
(d) 3170, 58116, 5448, 2400, 17426
2. Find the odd numbers :
(a) 23, 29, 31, 37, 371, 375, 385
(b) 321, 313, 823, 837, 839, 745, 777
(c) 2143, 4167
(d) 1053, 83133, 520279
3. 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32,
34, 36, 38, 40, 42, 44, 46, 48
4. 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31,
33, 35, 37, 39, 41, 43, 45, 47
Exercise-6.3
1. Check if the first number is a factor of the second
number :
(a)
(b) 3 1 5 3 51
7
8 56
1
0
0
0
56
×
8 is a factor of 56
5
03
03
0×
3 is a factor of 153
180
+
÷
–
×
(c)
+
÷
×
÷
+
5 2 1 5 7 5 4315
–2 0
0015
0 0– 1 5
0007
–5
000
00025
–2 5
000
000×
197
–1 9
007
10
19 is not a factor of 197
5 is a factor of 21575
(e)
18 1 6 2
–162
0×
9
28 4
–2
1
–1
(f)
18 is a factor of 162
7 6
8
9 6
9 6
0
17
28 is a factor of 476
(g) 21 1 1 8 9 56
–
×
19
(d)
(h)
–1 0 5
00139
0 0–1 2 6
0013
26 2 3 4
–2 3 4
×
2. Determine all the factors of :
(a) 16 = 1, 2, 4, 8, 16
(b) 21 = 1, 3, 7, 21
(c) 24 = 1, 2, 3, 4, 6, 8, 12, 24
(d) 18 = 1, 2, 3, 6, 9, 18
(e) 36 = 1, 2, 3, 4, 6, 12, 18, 36
(f) 52 = 1, 2, 3, 4, 13, 26, 52
(g) 81 = 1, 3, 9, 27, 81
3. 66
= 1, 2, 3, 6, 11, 33, 66
Greatest = 66;
Smallest = 1
181
÷
9
26 is a factor of 234
21 is not a factor of 1189
+
–
×
4.
+
12 1 6 8
12
048
048
×
×
÷
14
So, 12 is a factor of 168
+
÷
–
×
So, 12 is a factor of 168
5. (a) 5
(b) 13
(c) 8
(d) 6
Exercise -6.4
1. Fill in the blanks:
(a) 2
(b) 2
(c) 3
(d) 11
(e) 1
(f) 4
(g) 11, 22, 33 (h) 41
2. 2, 3, 5, 7, 11, 13
3. 23, 29, 31, 37
4. 2, 3, 5, 7, 11, 13
MCQs :
1. (c)
2. (a) 3. (c) 4. (c)
Formative Assessment-2
(Based on chapter 4-6)
1. (a) 20 (b) 150 (c) 1860 (d) 136000 (e) 500 (f) 1600
2. Tick (3) in the box if the first is a multiple of second :
(a) (3)
(b) (3)
(c) (7)
(d) (7)
3. Find the quotient and remainder :
(a) 37 ÷ 10
(b) 178 ÷ 10
(c) 2765 ÷ 10
Ans : 10 3 7 3 Ans : 10 1 7 8 17 Ans : 10 2 7 6 5 276
–1 0
–1 0
–30
7
78
76
–7 0
–7 0
Quotient = 3
8
65
Remainder = 7
–
60
Quotient = 17
5
Remainder = 8
Quotient = 276
Remainder = 5
182
+
÷
–
×
+
+
÷
–
×
×
÷
(d) 51735 ÷ 10
(e) 134 ÷ 100
Ans : 10 5 1 7 3 5 5173
–5 0
17
–1 0
73
–7 0
35
–3 0
5
Quotient = 5173
Remainder = 5
Ans : 100 1 3 4 1
–1 0 0
34
Quotient = 1
Remainder = 34
(f) 1226 ÷ 100
(g) 30000 ÷ 100
Ans : 100 1 2 2 6 12
–1 0 0
226
–2 0 0
26
Quotient = 12
Remainder = 26
(h) 898854 ÷ 100
Ans : 100 3 0 0 0 0 300 Ans : 100 8 9 8 8 5 4 8988
–3 0 0 0 0
–8 0 0
0
988
–
900
Quotient = 300
885
Remainder = 0
–8 0 0
(i) 8000 ÷ 1000
854
Ans : 1000 8 0 0 0 8
–8 0 0
–8 0 0 0
54
0
Quotient = 8988
Remainder = 54
Quotient = 8
Remainder = 0
(j) 37443 ÷ 1000
(k) 89768 ÷ 1000
Ans : 1000 3 7 4 4 3 37
Ans : 1000 8 9 7 6 8 89
–3 0 0 0
–8 0 0 0
7443
9768
–
–
7
0
0
0
9
000
Quotient=37
Quotient=89
Remainder=443 4 4 3
Remainder=768 7 6 8
183
+
÷
–
×
×
÷
+
Ans : 1, 2, 3, 6, 9, 18
(e) 36
1, 2, 3, 4, 6, 12, 18, 36
(f) 52
Ans : 1, 2, 3, 4, 6, 12, 18,
(h) 356540 ÷ 1000
+
÷
–
×
Ans : 1000 3 5 6 5 4 0 356
–3 0 0 0
5654
–5 0 0 0
6540
–6 0 0 0
540
36
(g) 81
Ans : 1, 2, 3, 4, 13, 26, 52
(h) 40
Ans : 1, 2, 4, 5, 8, 10, 20,
Quotient = 356
Remainder = 540
4. Determine all the factors of :
(a) 16
Ans : 1, 2, 4, 8, 16
(b) 21
Ans : 1, 3, 7, 21
(c) 24
1, 2, 3, 4, 6, 8, 12, 24
(d) 18
40,
(5) Fill in the blanks :
(a) 275 ÷ 1 = 375
(b) 0 ÷ 425 = 0
(c) 216 ÷ 216 = 0
(d) 536 ÷ 0 = 0
(e) 4596 ÷ 4596 = 0
(f) 5089 ÷ 0 = 0
Exercise -7.1
1. Find the H.C.F. of the following :
8 14 1
(a)
(b)
1
6 8
–8
–6
2 6
–6
0
6
3
H.C.F. = 2
8 1
–6
2 6
6
×
3
H.C.F. = 2
(c) 3
=1×3
18 = 1 × 2 × 3 × 6 × 9
H.C.F. = 3
184
+
÷
–
×
×
÷
+
(d) 12
27 2
–24
3 12
–1 2
×
(e)
4
36 4 5 1
–36
9 36 4
–36
×
H.C.F. = 9
H.C.F. = 3
+
÷
–
×
(f) 30 4 2 1
–30
12 3 0 2
–2 4
6 12
–1 2
×
2
H.C.F. = 6
(g)
(h)
60 9 0 1
–60
30 6 0
–60
×
44 8 4 1
–44
40 4 4 1
–40
4 4 0 10
–40
×
2
H.C.F. = 30
H.C.F. = 4
2. Find the H.C.F. of the following numbers. By using prime
factorisation method :
2 22
2 60
(a) 22, 60
11 11
3 30
22
= 1 × 2 × 11
1
2 10
60
= 1×2×2×3×5
H.C.F. = 1 × 2 = 2
5 5
1
(b) 20, 48
2 20
2 48
20
= 1×2×2×5
2 24
48
= 1 × 2 × 2× 2 × 2 × 3 2 10
5 5
2 12
H.C.F. = 1 × 2 × 2 = 4
1
2 6
(c) 80, 60
2 3
2 80
2 60
1
2 40
2 30
2 20
5 15
2 10
3 3
5 5
1
1
185
+
÷
–
×
+
+
÷
–
×
×
÷
80
=
60
=
H.C.F. =
(d) 105, 135
105
=
135
=
H.C.F. =
(e) 60, 90
2 60
2 30
3 15
5 5
1
1 ×2 ×2 × 2 × 2 × 5
1×2×2 ×3×5
1 × 2 × 2 × 5 = 20
5
1 × 3 × 5× 7
7
1× 3 × 3 × 3× 5 3
1 ×3 × 5 = 15
60
=
90
=
(f) 144, 240
2
2
2
2
3
3
1× 2 × 2 × 3 × 5
1 × 2 × 3 × 3 × 5 = 30
2
3
3
5
105
21
3
1
90
45
15
5
1
5
3
3
3
135
27
9
3
1
144
2 240
72
2 120
36
2 60
18
2 30
9
3 15
3
5 5
1
1
144
= 1 × 2× 2 × 2 × 2 × 3 × 3
240
= 1×2×2×2×2×3×5
H.C.F. = 1 × 2 × 2 × 2 × 2 × 3 = 48
3. Find the H.C.F. of the following numbers, by using long
division method :
(b) 80, 172
(a) 22, 50
80 1 7 2 2
22 5 0 2
160
6 80 3
44
72
6 22 3
8 12 2
18
8
3 6 2
8 2
4
H.C.F=3
H.C.F = 4
8
6
0
186
0
+
÷
–
×
+
×
÷
(d) 16, 60
80 6 0 2
48
12 16 3
12
4 12
12
0
H.C.F = 4
(c) 112, 225
112 2 2 5 2
224
1 1 1 2 112
112
×
H.C.F=1
+
÷
–
×
3
Exercise -7.2
1. List the first five multiples of 8
8×1 =8
8 × 2 = 16
8 × 3 = 24
8 × 4 = 32 8 × 5 = 40
2. List the first three common multiples of :
(a) 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52,
56, 60
5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 30, 55, 60
three common multiples = 20, 40, 60
(b) 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
4 = 4, 8, 12, 16, 20
common multiples = 4, 8, 12
(c) 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26,
28, 30
5 = 5, 10, 15, 20, 25, 30
Common multiples = 10, 20, 30
(d) 6 = 6, 12, 185, 24, 30, 36, 42, 48, 54, 60, 66, 72
8 = 8, 16, 24, 32, 40, 48, 66, 56, 64, 72, 80,
Common multiples = 24, 48, 72
3. Find the L.C.M. of the following numbers by prime
factorisation method :
2 6
2 18
(a) 6
=1×2×3
3 3
3 9
18
=1×2×3×3
1
3 3
L.C.M. = 1 × 2× 3 × 3 = 18
1
2 20
5 35
(b) 20
=1×2×2×5
2
1
35
=1×5×7
7 7
5 5
= 5 × 2× 2 × 7
1
= 140
1
187
+
÷
–
×
+
(c) 4
8
12
L.C.M.
(d)
+
÷
–
×
2
3
×
÷
6
3
1
6
18
30
L.C.M.
2 4
=1×2×2
=1×2×2×2 2 2
=1×2×2×3
1
= 2 × 2 × 2 × 3 = 24
2
3
3
18
9
3
1
2
2
2
2
3
5
2
2
2
8
4
2
1
12
6
2
1
30
15
5
1
+
=2×3
=2×3×3
=2×3×5
= 2 × 3 × 3 × 5 = 90
4. (a) 12
16
=2×2×3
=2×2×2×2
=2×2×2×2×3
= 48
(b) 16
24
=2×2×2×2
=2×2×2×3
=2×2×2×2×3
= 48
(c) 28
36
=2×2×7
=2×3×2×3
=2×2×3×3×7
= 252
(d) 20
50
=2×2×5
=2×5×5
= 100
188
2
2
5
2
2
3
2
2
2
2
2
2
7
20
10
5
1
12
6
3
1
16
8
4
2
1
2
2
2
2
2
2
2
3
28
14
7
1
3
2
3
2
2
5
5
50
25
5
1
16
8
4
2
1
24
12
6
3
1
36
12
6
2
1
÷
–
×
(e)
+
2
2
2
2
16
24
36
÷
–
×
+
(f)
2
3
6
8
15
(g)
3
3
1
3
4
8
16
(h)
2
2
2
×
÷
8
4
2
1
16
2 24
2
8
2 12
2
4
2 6
3
2
3 3
3
1
1
= 2×2×2×2
=2×2×2×3
=2×2×3×3
=2×2×2×3×3×2
= 144
6
2 8
3
3
2 4
5
1
2 2
1
=2×3
=2×2×2
=3×5
=2×3×2×2×5
= 120
2 4
2 8
2 2
2 4
1
2 2
1
=3
=2×2
=2×2×2
=2×2×2×2
=2×2×2×2×3
= 48
2 12
2 24
2 6
2 16
3 3
2 6
1
3 3
1
189
36
18
9
3
1
+
15
5
1
÷
2
2
2
2
16
8
4
2
1
2
2
2
2
3
48
24
16
6
3
1
–
×
+
8
12
24
48
+
÷
×
÷
=2×2×2
=2×2×3
=2×2×2×3
=2×2×2×2×3
=2×2×2×3×2
= 48
Exercise -7.3
=2×3×2
=2×3×3
=2×3
=6m
2. 4 students
3. 2
4. 9890
MCQs. 1. (c) 2. (c) 3. (b) 4. (d) 5. (b)
+
1. Factor of 12
factor of 18
5. 240
8
Fractions
÷
Exercise 8.1
–
×
1. Colour each of the following figures to show the given
fractions :
(a)
(b)
(c)
(d)
(e)
(f)
2. Write the fractions represented by the shaded parts in
the following figures :
4
2
6
8
1
5
(a)
(b)
(c)
(d)
(e)
(f)
6
6
8
14
6
6
190
–
×
+
+
÷
×
÷
3. Write the following fractions in words:
(a) 1/3
= one-threeths
(b) 1/7
= one-sevenths
(c) 2/9
= two-nineths
(d) 5/11
= five-elevenths
(e) 7/13
= seven-thirteenths
4. Write the numerator and denominator of each of the
following fractions :
(a) 1
(b) 3
(c) 4
11
7
5
numerator = 1
numerator = 3
numerator = 4
denominator = 5 denominator= 7
denominator=11
(d) 7
(e) 9
15
17
numerator = 7
numerator = 9
denominator = 15
denominator = 17
+
÷
Exercise -8.2
–
×
1. Represent the following fractions on the number-lines :
1
(a)
1
5 0
2
(b)
3
5
0
(c)
4
7 0
(d)
6
8
2
3
4
7
0
(e)
8
9 0
(f)
5
8
6
8
8
9
0
5
8
191
–
×
+
×
÷
2. Write the fractions represented by point X in each of the
following number-line :
7
1
2
4
4
2
(a)
(b)
(c)
(d)
(e)
(f)
11
9
3
8
6
50
Exercise -8.3
+
1. Colour the following figures to show the equivalent
fractions :
(a)
(b)
(c)
(d)
÷
–
×
+
÷
2. Write five equivalent fractions for each of the following
fractions :
1×2
2
2×2
4
(a) 1
(b) 2
=
=
=
=
7
7×2
14
5
5×2
10
(c)
1×3
3
=
7×3
21
2×3
6
=
5×3
15
1×4
4
=
7×4
28
9×4
8
=
5×4
20
1×5
5
=
7×5
25
1×6
6
=
7×6
42
2×5
10
=
5×5
25
2×6
12
=
5×6
30
(d)
3
3×2
6
=
=
7
7×2
14
3×3
9
=
7×3
21
192
5
5×2
10
=
=
10 10 × 2 20
5×3
15
=
10 × 3 30
–
×
+
+
÷
×
÷
3×4
12
=
7×4
28
3×5
15
=
7×5
35
3×6
18
=
7×6
42
5×4
20
=
10 × 4 40
5×5
25
=
10× 5 50
5×6
30
=
10 × 6 60
4×2
8
(e) 4
=
=
8
8×2
16
(f)
6
6×2
12
=
=
18 18 × 2
36
4×3
12
=
8×3
24
6×3
18
=
18 × 3
54
4×4
16
=
8×4
32
6×4
24
=
18 × 4
72
4×5
20
=
8×5
40
4×6
24
=
8×6
48
6×5
=
18 × 5
6×6
=
18 × 6
30
90
36
108
+
÷
3. Fill in the blanks to get equivalent fractions:
–
×
3
15
21
24
45
(a) 4 = 20 = 28 = 32 = 60
4
12
20
24
32
(b)
=
=
=
=
6
18
30
36
48
(c) 7 = 28 = 49 = 56 = 84
9
36
63
72
108
(d) 11 = 22 = 55 = 77 = 99
22 44 110 154 198
4. Find if the following fractions are equivalent or not:
(a) 2 and 4
3
6
2
4
×
3
6
6 × 2 = 12
4 × 3 = 12
So, fractions are equivalent
193
–
×
(b)
(c)
+
÷
3
5
3
5
and
×
7
14
7
14
14 × 3 = 42
5 × 7 = 35
So, fractions are not equivalent
4
1
and
12
3
4
1
×
12
3
4 × 3 = 12
1 × 12 = 12
So, fractions are equivalent
(d)
6
24
and
9
36
6
24
×
9
36
36 × 6 = 216
24 × 9 = 216
So, fractions are equivalent
(e)
–
×
+
×
÷
18
21
and
21
105
23
96
and
32
216
÷
18 21
×
21 105
105 × 18
= 1890
21 × 21
= 441
So, fractions are not equivalent
(f)
+
23 96
×
32 216
216 × 23
= 4968
32 × 96
= 3072
So, fractions are not equivalent
Exercise 8.4
1. Write proper, improper, unit or mixed fraction against
each of the following fractions:
(a) Proper
(b) Unit
(c) proper
(d) improper
(e) unit
(f) mixed
194
–
×
×
÷
+
(g) mixed
(h) proper
2. Which of the following pairs are like fractions and which
are unlike fractions?
Like fraction
= (a), (c), (d), (f), (g)
Unlike fraction = (b), (e), (h)
Exercise-8.5
+
÷
1. Convert the following improper fractions into
fractions :
3
1 2 3 1
5
1 4 5 1 7
2 5
=
=
(a) =1
(b)
(c)
1
1
2
4
2
2
4
4
5
5
1
1
9
1
12
2
25
4
=1
=1
=3
(d)
(e)
(f)
8
8
10
10
7
7
(g)
28
3
=5
5
5
(h)
38
2
=6
6
6
(i)
43
7
=4
9
9
(j)
mixed
7 1
5
2
48
3
=9
5
5
2. Convert the following mixed fractions into improper
fractions :
–
×
1
11
=
5
5
(a) 2
(b) 4
2
14
=
3
3
(c) 6
7
79
6
55
(e) 9 =
(f)
=
8
8
7
7
5 104
6
60
(g) 6 =
(h) 9 =
(i)
11 11
9
9
6
138
(j) 11 =
12
12
(d) 7
5
41
=
6
6
5
61
=
7
7
5
85
8 =
10 10
8
Exercise -8.6
1. Fill ‘<’ or ‘>’ to compare the following fractions :
(a) < (b) > (c) > (d) < (e) > (f) > (g) < (h) >
2. Arrange the following fractions in ascending order :
(a)
1 3 4 5
,
,
,
6 6 6 6
(b)
195
5 5 5 5
,
,
,
17 12 9 6
+
÷
–
×
+
(c)
×
÷
2 7 9 11
,
,
,
13 13 13 13
(d)
11 11 11 11
,
,
,
37 23 14 13
3. Arrange the following fractions in descending order :
9 7
,
,
10 10
(c) 6 , 4 ,
7 7
(a)
+
÷
3
,
10
3
,
7
2
10
1
7
8 8
,
,
11 17
(d) 9 , 9 ,
10 13
(b)
8
,
19
9
,
17
8
23
9
25
Exercise -8.7
1. Colour the mentioned fractional part in each figure.
Write the sum and colour the corresponding part :
+
=
(a)
(b)
=
+
–
×
7
8
2
1
3
+ =
5
5
5
2
4
6
+ =
(c)
8
8
8
4
3
7
+ =
9
9
9
8
3 11
+ =
(d)
13 13 13
(a)
(e)
(b)
6
3
5
14
+ +
=
21 21 21
21
(f)
8
7
8
23
+ +
=
18 18 18
18
Exercise -8.8
1. Fill in the blanks with the correct answer :
196
÷
10
12
2. Fill in the blanks by looking at the figures:
3
4
7
4
2
6
6
5 11
+ =
+ =
(b)
(c)
(d) + =
12 12 12
10 10 10
15 15 15
3. Find the sum of the following fractions :
+
–
×
(a)
×
÷
+
4
2
2
– =
9
9
9
(b)
5
3
2
– =
12 12 12
2. Subtract the following like fractions :
+
÷
5
3
2
(a) 6 – 6 = 6
6
4
2
– =
(c)
9
9
9
9
5
4
– =
(e)
13 13 13
8
2
6
– =
(g)
17 17 17
3
2
1
(b) 7 – 7 = 7
8
5
3
– =
(d)
10 10 10
(f) 7 – 3 = 4
15 15 15
(h) 10 – 6 = 4
11 11 11
Exercise -8.9
meera put weight
total weight
–
×
2
kg
7
4
kg
=
7
6
2
4
kg
+
=
7
7
7
1. An empty container weight =
3
kg
9
4
kg
=
9
7
3
4
kg
+
=
9
9
9
2. Kanika bought tomatoes
Potatoes weight
total weight
=
3. Ravi Purchase cloth
He used cloth
He was left cloth
=
9
m
11
5
m
=
11
4
9
5
m
–
=
11
11 11
=
197
+
÷
–
×
+
×
÷
4. A scooterist bought petrol
On tuesday bought Petrol
he bought total petrol
+
÷
–
×
7
l
12
4
l
=
12
11
7
4
l
+
=
=
12
12 12
=
8
10
5
He gave packet
=
10
3
8
5
–
He has left
=
=
10
10 10
MCQs :
1. (a) 2. (d) 3. (a) 4. (d)
Summative Assessment-1
(Based on chapter 1-8)
1. Tick (3) the correct option :
(i) (b),
(ii) (c)
(iii) (c),
(iv) (b)
(v) (c)
(vi) 1
(vii) (b)
(viii) (d)
(ix) (b)
2. Write the following fractions in words :
5. Mayank had packet of toffees =
(a) 1
3
(b) 1
7
(c) 2
9
Ans : one-third
Ans : one-seventh
Ans : two-ninth
(d) 5
11
(e) 7
13
Ans : five-eleventh Ans : seven-thirteenth
3. An empty container weighs = 2 kg
7
Meera put rice in the container = 4 kg
7
total weight of the container = ( 2 + 4 ) kg = 6 kg
7 7
7
198
+
÷
–
×
+
4. factor of 22 =
factor of 28 =
×
÷
1, 2, 11, 22
1, 2, 4, 7, 14, 28
the greatest + Number = 2
5. factor 66 = 1, 2, 3, 6, 11, 33, 66
smallest = 1
+
÷
greatest = 66
6. factor of 48 = 1, 2, 3, 4, 8, 12, 16
factor of 48 less than 6 = 1, 2, 3, 4, 8, 12
7. 12 1 6 8 14
–1 2
48
–4 8
0
Yes, 12 is a factor of 168
+
÷
8. Fill in the blanks :
(a) 36 × 0 = 0
–
×
(b) 4 × 8 = 8 × 4
(c) 0× 2834 = 0
(d) 78 × 55 = 55 × 78
(e) 3956 × 1 = 3956
(f) 83 × 75 = 75 × 83
(g) (24 × 33) × 12 = 33 × (12 × 24)
(h) 8096 = 0
9. Write the following in short form :
(a) 40000 + 7000 + 400 + 20 + 3 = 47423
(b) 60000 + 2000 + 500 + 60 + 2 = 62562
(c) 50000 + 60000 + 8000 + 400 + 50 + 7 = 568457
199
–
×
+
+
÷
×
÷
(d) 2 ten thousands + 8 hundreds + 4 thousands + 4 tens
+ 6 ones
2 × 10000 + 8 × 100 + 4 × 1000 + 4 × 10 + 6 × 1
2000 + 800 + 4000 + 40 + 6
= 24846
(e) 8 Lack + 7 ten thousands + 5 thousands + 2 tens + 8
ones
8 × 100000 × 7 × 1000 + 5 × 1000 + 2 × 10 + 8 × 1
800000 + 70000 + 5000 + 20 + 8
= 875028
(f) (3 × 10000) + (4 × 1000) + (8 × 100) + (5 × 10) +
(4 × 1) = 34854
(g) (7 × 100, 000) + (8 × 10, 000) + (9 × 1000) + (1 ×
100) + (3 × 10) + (8 × 1) = 789138
9
Decimal Fractions
+
÷
Exercise -9.1
–
×
1. Write the following decimals in words :
(a) Three point six two
(b) Seven point five four
(c) Twenty eight point six seven
(d) Fifty six point eight three
(e) Ninety - eight point zero eight
(f) One hundred seventy two point one five
(g) Two hundred eleven point two three
(h) Seven hundred thirty two point five five
2. Write the following in figures :
(a) 0.01
(b) 2.12
(c) 0.07
(d) 55.55
(e) 91.09
(f) 631.64
200
–
×
+
÷
×
Exercise -9.2
1. Write the following in expanded form :
2
5
+
10 100
4
8
(b) 236.48
= 200 + 30 + 6 + +
10 100
6
3
(c) 476.63
= 400 + 70 + 6 + +
10 100
3
7
(d) 618.37
= 600 + 10 + 8 + +
10 100
8
(e) 831.08
= 800 + 30 + 1 + 0 +
100
7
4
(f) 4372.74 = 4000 + 300 + 70 + 2 + +
10 100
(g) 7519.702 = 7000 + 500 + 10 + 9 + 7 + 0 + 2
10
1000
3
4
5
(h) 3632.345 = 3000 + 600 + 30 + 2 +
+
+
10 100 1000
(a) 117.25
+
÷
–
×
= 100 + 10 + 7 +
2. Write each of the following in short form :
(a) 2.263
(b) 48.517
(c) 12.01
(d) 65.349
(e) 724.68
(f) 206.427
3. Write the place-value of each digit of the following :
(a) 4 5 . 2 5
(b)
3 6 . 1 8
5
8
100
100
2
1
10
10
5
6
40
30
8 9 . 4 1
7 1 . 5 3
1
(c)
(d)
3
100
100
4
5
10
10
9
1
201
80
70
+
÷
–
×
+
(e) 9 3 . 7 9
+
9
100
7
10
3
90
(g) 2 6 1 . 2 4 5
÷
×
÷
2
10
(f)
3 7 3 . 1 8 9
(h)
2 1 6 . 3 5 8
9
1000
8
100
1
10
3
70
300
8
1000
5
100
3
10
5
1000
4
100
1
÷
1
60
200
–
×
+
60
200
Exercise -9.3
1. Convert the following decimals into fractions:
(a) 0.2
(c) 1.26
(e) 7.42
(g) 36.41
2
10
126
=
100
742
=
100
3641
=
100
=
39
100
85
(d) 8.5
= 10
89257
(f) 89.257 = 1000
24756
(h) 247.56 =
100
(b) 0.39
=
2. Write the decimals for each of the following fractions :
(a) .2
(b) .33
(c) 0.007
(d) 0.15
(e) 0.026
(f) 0.04
(g) 5.4
(h) 0.17
202
–
×
+
×
÷
3. Convert the following fractions into decimals :
(a) 0.75
(b) 0.4
(c) 0.77
(d) 0.75
(e) 1.12
(f) 0.35
(g) 3.32
(h) 1.59
Exercise -9.4
+
÷
–
×
1. Find like, unlike and equivalent decimals in the following
pairs :
(a) like fraction
(b) unlike fraction
(c) like fraction
(d) equivalent
(e) like fraction
(f) equivalent
2. Convert each of the following unlike decimals into like
decimals :
(a) 0.320, 4.700, 7.264, 6.250
(b) 8.431, 13.990, 17.200, 54.160
(c) 23.48, 35.50, 42.70, 5.92
(d) 45.600, 29.720, 53.125, 76.800
(e) 61.050, 49.200, 37.134, 8.480
(f) 76.300, 6.021, 37.360, 66.840
Exercise-9.5
1. Compare the following decimals and put ‘<’ or ‘>’:
(a)<
(b) P <
(c) > (d) > (e) > (f) >
2. Arrange the following decimals in ascending order :
(a) 3.43, 3.44, 4.34, 4.43, 34.3, 344.34
(b) 2.228, 2.282, 2.822, 8.228, 8.282, 8.822
(c) 6.95, 15.605, 18.735, 27.57, 69.135, 71.23
3. Arrange the following decimals in descending order :
(a) 46.38, 32.146, 28.39, 3.961, 2.638, 2.579
(b) 478.65, 253.12, 124.83, 105.57, 98.48, 64.76
(c) 130.41, 97.64, 79.15, 66.46, 25.12, 0.64
MCQs :
1. (c) 2. (a) 3. (a) 4. (b) 5. (a)
203
+
÷
–
×
+
÷ – ×
10
Money
Exercise-10.1
+
÷
–
×
1. Write the following amounts in figures :
(a) `10.30
(b) `68.45
(c) `105.05
(d) `332.31
(e) `590.01
(f) `8212.24
2. Convert the following amounts into paise :
(a) `5 ×100
(b) `28 × 100
= 500 paise
= 2800 paise
(c) `75 × 100
(d) `81 × 100
= 7500 paise
= 8100 paise
(e) `99 × 100
(f) `122 × 100
= 9900 paise
= 12200 paise
(g) `341 × 100
(h) `444 × 100
= 34100 paise
= 44400 paise
3. Convert the following amounts into paise :
(a) `6.25
(b) `20.20
6 × 100 + 25
20 × 100 + 20
600 + 25
2000 + 20
625 paise
2020 paise
(c) `34.15
(d) `49.72
34 × 100 + 15
49 × 100 + 72
3400 + 15
4900 + 72
3415 paise
4972 paise
(e) `73.51
(f) `102.12
73 × 100 + 51
102 × 100 + 12
7300 + 51
10200 + 12
7351 paise
10212 paise
(g) `250.27
(h) `481.08
= 250 × 100 +27
= 481 × 100 + 08
204
+
÷
–
×
+
+
÷
×
÷
= 25000 + 27
=48100 + 08+
= 25027 paise
= 48108 paise
4. Convert the following amounts into rupees and paise :
(a) 124 ÷ 100
(b) 275 P
`1.24
= 275 ÷ 100
= `2.75
(c) 489 P
(d) 530 P
489 ÷ 100
530 ÷ 100
`4.89
`5.30
(e) 902 P
(f) 3149P
902 ÷ 100
31.49 ÷ 100
`9.02
`31.49
(g) 4111 p
(h) 5167 P
4111 ÷ 100
5167 ÷ 100
`41.11
`51.67
÷
Exercise -10.2
1. Add the following :
(a)
(b)
–
×
+
`
`
`
`
2
1
0
3
1
1
5
8
3
5
6
5
.
.
.
.
5
2
7
5
0
7
6
3
(d)
(c)
`
`
`
`
1
2
1
5
7
8
0
6
8
7
3
9
.
.
.
.
3
0
6
0
5
5
0
0
8
7
2
8
6
5
5
6
(e)
` 4 0
` 1 3
`
` 5 4
6
7
1
6
7
5
7
0
.
.
.
.
5
2
5
2
0
5
0
5
` 3 1
` 1 0
` 7
` 4 9
5
8
5
9
.
.
.
.
5
1
1
9
0
1
1
2
3
3
2
9
2
7
0
0
5
5
5
5
6
1
2
0
5
4
5
4
(f)
`70
`21
`3
`95
7
5
1
4
2. Find the sum of the following :
(a) `81.05 + `259.95
= `341.00
(b) `81.95+ `64.65 + `50.50
= 197.1
205
5
6
5
7
.
.
.
.
`
`
`
`
9
7
5
1
.
.
.
.
–
×
+
×
÷
(c) `4.40 + `15.80 + `30.60
= `50.80
(d) `49.80 + `37.70 + `43.55
= 131.05
3. Find the difference :
(a) ` 2 4 5 . 8 0 (b) ` 3 4 7 . 7 0
+
÷
` 1 2 9 . 5 5
` 1 1 6 . 2 5
` 2 0 5 . 6 0
` 1 4 2 . 1 0
(c) ` 8 0 0 . 4 0
` 2 2 7 . 5 5
` 5 7 2 . 8 5
(d) ` 4 1 2 3 . 3 5 (e) ` 6 0 0 8 . 3 0 (f) ` 8 0 0 0 . 0 0
`3 0 2 7 . 5 5
`1 0 9 5 . 8 0
`4 1 2 9 . 5 5
`1 8 7 8 . 7 5
4. Subtract:
(a) `45.80 – `22.50
= `23.3
(c) `65.35 – `46.85
= `18.5
`5 3 7 5 . 6 5
`2 6 2 4 . 3 5
(b) `83.20 – ` 64.35
= ` 18.85
(d) `156.50 – ` 89.75
= 66.75
Exercise 10.3
–
×
1. Multiply the following :
(a) `3.15 × 6
(b) `4.13 × 7
(c) `17.65 × 9
= `18.9
= 28.91
=`158.85
(d) `94.23 × 8
(e) `213.05 × 11 (f) `312.42 ×13
= `753.84
= `2343.55
=`4061.46
2. Divide the following :
(a) `81.24 ÷ 22
(b) `315.12 ÷ 8
= `3.6
= `39.39
(c) `405.39 ÷ 7
(d) `518.45 ÷ 9
= `57.91
= `57.60
(e) `3343.51 ÷ 6
(f) `3373.80 ÷ 8
= `557.25
= `421.725
206
+
÷
–
×
+
+
÷
–
×
×
÷
Exercise -10.4
1. Sneha purchased `45.25
for bread
= `20.50
She spend
= `45.25 + `20.50
= `65.75
2. Riya had
= `500
She bought a purse for = `228.17
Money wasleft with Riya = `500 – `228.17
= `271.83
3. A shirt costs
= `345.75
A frock costs
= `250.85
Costs more
= `345.75 – `250.85
= `94.9
4. Punit bought pencil, box = `58.25
for Pen
= `25.30
Note book for
= `36.75
he spend
= `(58.25 + 25.30 + 36.75)
= `120.3
MCQs
1. (b) 2. (b) 3. (a) 4. (a)
11
The Metric System
Exercise -11.1
1. Convert into metres :
(a) 8km 4 hm 3 dam 6 m
8 × 1000 + 4 × 100 + 3 × 10 + 6
8000 + 400 + 30 + 6
8436m
(b) 30 dam 850 m
30 × 10 + 850m
207
+
÷
–
×
+
+
÷
–
×
×
÷
300 + 850
= 1150 m
2. Convert into millimetres :
(a) 6 m 5 dm 4 cm 8mm
= 1000 × 6 + 5 × 100 + 4 × 10 + 8
= 6000 + 500 + 40 + 8
= 6548 mm
(b) 8 dm 7 cm 6 mm
= 8 × 100 + 7 × 10 + 6
= 800 + 70 + 6
= 876 mm
3. Convert into centimetres:
(a) 8 hm 9 dam 6 m 3 dm 4 cm
1
1
= 8 × 1000 + 9 × 10 + 6 + 3× + 4×
10
100
= 800 + 90 + 6 + 0.3 + 0.04
= 986.34 × 100
= 89634 cm
(b) 3 dam 5 m 7 dm 8 cm
7
8
= 3 × 10 + 5 + +
10 100
= 30 + 5 +0.7 + 0.08
= 35.75 × 100
= 3578 cm
4. Convert into decimetres:
(a) 8 dam 5 m 4 dm
= 8 × 10 + 5 + 0.4
= 80+5 + 0.4
= 85.4 × 10
= 854 dm
(b) 27 dam 8 m 7 dm
= 27 × 10 + 8 +0.7
= 278.7 × 10
= 2787 dm
208
+
÷
–
×
+
+
÷
–
×
×
÷
5. Convert into grams :
(a) 5 kg 8 dag 6 g
= 5 × 1000 + 10 × 8 + 6
= 5000 + 80 + 6
= 5086 g
(b) 8 kg 6 hg 8 dag 5 g
= 1000 ×8 + 6 × 100 + 8 × 10 + 5
= 8000 + 600 + 80 + 5
= 8685
6. Convert into milligrams:
(a) 9058 mg
(b) 4893 mg
7. Convert into centigrams:
(a) 789 cg
(b) 4689 cg
8. Convert into decigrams:
(a) 87695 dg
(b) 8975 dg
9. Convert into litres :
(a) 975 l
(b) 28378l;
10. Convert into millilitres
(a) 9878 ml
(b) 708 ml
11. Convert into decilitres
(a) 6789 dl
(b) 889 dl
12. Convert into decalitres:
(a) 897 dal
(b) 578 dl
Exercise-11.2
•
1.
2.
3.
4.
5.
6.
7.
Convert the following into bigger units :
8 m 3 dm 9 cm 7 mm
8 hm 2 dam 4 m 8 dm 7 cm
7 km 8 hm 3 dam 9 m 8 dm
51 km 3 hm 4 dam 6 m
5 g 4 dg 9 cg 5 mg
8 kg 4 hg 9 dag 8 g 5 dg 3 cg
8 kg 8 hd 7 dag 4 g 8 dg
209
+
÷
–
×
+
+
8. 7 kg 9 hg 4 dag 9 g
9. 61 kg 8 hg 4 dag 8 g
10. 4 hg 1 dag 4 g 8 g
11. 7 dal 1 L 3 dl 6 cl 9 ml
12. 9 dal 1 L 8 dl 5 l
13. 6 kl 5 hl 8 dal 9 L
14. 7 Kl 9 hL 5 dal9 L 3 dl
Exercise-11.3
•
Add the following :
(a) M dm cm (b) km
8
7
16
÷
7
5
3
9
8
7
12
14
+
27
(d)
–
×
×
÷
m cm
125 9
940 78
785 35
851 22
(c)
km dam m
5
6
4
8
0
7
0
98
0
+ 8
9
0
19 23 04
(e)
kg
8
9
+ 5
23
hg
7
8
0
6
dag
8
7
9
5
g
4
8
7
9
cm
8
0
0
0
8
(f)
g
14
18
+9
42
dg
8
7
0
6
cg
4
0
9
3
g
8
9
7
25
dag
7
0
9
7
g
9
8
0
7
Exercise-11.4
Subtract the following :
(a)
(b)
cm
m
–
12
8
3
55
90
65
(d)
km
809
– 346
462
–
dm cm mm
8 6
9
9 8
7
8 8
1
(e)
hm dam
4 8
8 9
5 9
(c)
dam
750
– 326
424
m dm
9 2
8 6
0 6
(f)
kg
7
– 6
1
hg dag g
9 8 6
6 9 9
2 8 7
210
g dg cg mg
7 9 9 6
– 4 1 9 8
3 7 9 8
+
÷
–
×
×
÷
+
Exercise-11.5
1. Multiply the following :
(a)
kg hm dam m
+
(c)
(e)
÷
3
×
4
5
2
20
9
kl
8
41
hL daL
3
3
×
8
6
L
8
dL
2
49
4
cl
3
×
0
(b)
6
4
4
hg dag
3
6
×
4
0
kg
8
69
L
6
5
0
(d)
L
7
23
Ml
4
6
4
(f)
2. Divide the following :
(a)
9 9 5 6 7 1 km 6 hm 3 dm
dL
8
×
6
g
1
3
8
Ml
8
3
4
km hm dam m
8
9
8
3
× 7
2
3
58 7
+
÷
9
–
×
5 6
5 4
2 7
2 7
×
(b) 7 Kl 7 hl 9 dal 4 L by 6
7 kL 7 hL 9 daL 4 L ÷ 6
= 1 kL 2 hL 9 daL 9 L
(c) 9 g 8 dg 5 cg 2 mg ÷ 3
= 3g 2 dg 8 cg 4 mg
(d) 9 m 6 dm 8 cm 4 mm ÷ 2
= 4 m 8 dm 4 cm 2mm
(e) 7 kL 2 hL 9 daL 6 L ÷ 4
= 1 kL 8 hL 2 daL 4 L
(f) 9 kg 6 hg 1 dag 1 g ÷ 7
= 1 kg 3 hg 7 dag 3 g
211
–
×
+
+
MCQs
1. (c) 2. (c) 3. (b) 4. (b) 5. (c) 6. (c)
Formative Assessment-3
(Based on chapter 9-11)
1. Add the following :
(a) 385.53
(b) 569.00
(d) 5460.25
(e) 9547.86
2. Subtract the following :
(a) 2112
(b) 7152 (d) 224274
3. Divide the following :
9 8
–8
hm dam m
5
1
4
–4
6
(d) 371266
6
5
1
–1
KL HL DaL
6 7
–6
1
–1
8
8
8
7
7
2
5
–5
×
= 9 hm 5 dam 2 m
–
×
(c) 499.05
(f) 9129.04
(a) 8 km 5 hm 6 dam 8m by 9 (b) 7 kl 7 HL 9 Dal 4 L by 6
952
1 2 9 9
Ans :
k
÷
×
÷
L
9
4
÷
9
4
5 4
–5 4
0
= 1 kl 2 HL 9 dal 9 l
(c) 9 g 8 dg 5 cg 2 mg by 3
3 2 8 4
g
da
cg
mg
3 9
–9
8
5
2
8
–6
2
–2
(c) 9 m 6 dm 8 cm 2 mm by 2
4 8 4 2
m dm cm mm
2 9
–8
1
–1
5
4
1 2
–1 2
0
6
8
4
6
6
8
–8
4
–4
0
= 3g 2 da 8cg 4 mg
= 4m 8 dm 4cm 4 mm
212
+
–
×
×
÷
+
(e) 7 kg 2hl 9 dal 6L by 4
1 8 2 4
(f) 9 kg 6 hg 1 dal 4 L
1 3 7 3
kg hL daL L
4 7
–4
3
–3
2
9
kg hg dag
7 9
–7
2
–2
6
2
2
9
–8
1 6
–1 –6
0
+
6
1
5
–4
g
1
1
1
9
2
2
1
1
+
×
= 1kg 8 hL 2 dal 4 L
÷
6
= 1 kg 3 hg 7 dag 3 g
12
Time
Exercise-12.1
–
×
1. Write the exact time shown in each clock:
(a) 8 : 18
(b) 10 : 08
(c) 7 : 48
(d) 6 : 45
2. Draw the hands of clock to show the time :
(a)
(b)
(c)
(d)
11
12 1
11
2
10
3
9
4
8
7
6
5
12 1
11
2
10
3
9
4
8
7
6
12 1
4
8
7
6
5
12 1
2
10
3
9
5
11
2
10
3
9
4
8
7
6
5
Exercise-12.2
1. Make a sun to
show daylight and moon
to show
night darknesss for the given time :
(a)
(b)
(c)
(d)
(e)
(f)
2. Complete the following statements with a.m. or p.m.
(a) a.m. (b) p.m. (c) a. m. (d) p.m. (e) a.m.
3. Write the time with a.m. and p.m. :
(a) P.M.
(b) A.M.
(c) A.M.
(d) P.M.
(e) P.M.
(f) A.M.
(g) P.M.
(h) A.M.
Exercise -12.3
1. Write the time shown by the clock:
(a) 6 : 15: 25
(b) 7 : 35 : 45
213
(c) 9 : 40 : 55
÷
–
×
+
+
÷
×
÷
Exercise -12.4
1. Convert the following into hours :
(a) 9 × 24 = 216
(b) 12 × 24 = 288
(c) 20 × 24 = 480
(d) 25 × 24 = 600
2. Convert the following into minutes :
(a) 3 × 60 = 180
(b) 8 × 60 = 480
(c) 10 × 60 = 600
(d) 4 × 60 + 22
(e) 9 × 60 + 5 (f) 12 × 60 +10
= 240 + 22
= 540 + 5
= 720 + 10
= 262
= 545
= 730
(g) 120 ÷ 60 = 2
(h) 600 ÷ 60 = 10
3. Convert the following into seconds :
(a) 5 × 60 = 300
(b) 8 × 60 = 480
(c) 12 × 60 + 25
(d) 15 × 60 + 55
= 720+25
= 900 + 55
= 745
= 955
Exercise12-5
–
×
1. Change to 24-hour clock time :
(a) 0110
(b) 0215
(c) 2010
(d) 1035
(e) 1050
(f) 1725
(g) 2115
(g) 1210
(j) 1258
(j) 0615
(k) 0240
(l) 2150
2. Change to 12-hour clock time :
(a) 2 : 12 a.m.
(b) 12 mid night
(c) 6 : 50 p.m.
(d) 12 : 40 p.m.
(e) 7 : 00 a.m.
(f) 5 :45 a.m.
(g) 00 :45 a.m.
(h) 06:00 a.m.
(i) 10:40 p.m.
(j) 1 : 30 p.m.
(k) 7 :10 p.m.
(l) 6 :25 p.m.
214
÷
–
×
Exercise12-6
1. Answer the following questions:
(a) April, June, September, November
(b) January, march, May, July, August,
December.
(c) February
+
October,
×
÷
+
2. How many days are from :
(a) 16 days
(b) 49 days
3. 48 days
(c) 71 days
Exercise-12.7
1. Add the following :
(a)
(b)
1
1
+
+
1
(d)
÷
–
×
24
45
10
2
5
8
+
(f)
+
+
1
30
35
05
2. Subtract the following :
(a)
(b)
2 5
4 5
4 0
6
4
1
–
(e)
–
9
4
5
39
23
16
35
40
15
25
30
56
8
5
3
–
5 3
3 8
1 5
+
1
1
+
50
18
09
45
33
18
+
3
9
13
35
40
15
15
22
37
(c)
19
– 8
10
3 5
4 8
4 7
8
4
4
30
15
14
(f)
48
44
04
–
Exercise-12.8
1. Express arrives
train late
=
=
=
=
1 : 20 PM
3 hrs 25 min
1 : 20 + 3 : 25
4 : 45 pm
215
1
31
39
71
7
3
11
(g)
20
15
35
(c)
1
(e)
35
39
14
42
38
81
8
3
12
1
1
+
24
45
09
÷
(d)
45
– 38
6
25
40
45
3 6
4 9
4 7
–
×
+
×
÷
2. School starts
Works
close school
+
÷
= 7 : 50 am
= 5 hrs 40 min
= 7 : 50 + 5 : 40
= 13 : 30 or 1 : 30 pm
3. Leave train on Saturday at
= 9 : 55 pm
reaches on sunday at
= 5 : 05 am
train take time
= 9 : 55 pm – 5 : 05 am
= 8 hrs 50 min
4. Circus began at
= 3 : 15 pm
Finished at
= 6 :35 pm
time of show
= 6 : 35 pm – 3 : 15 pm
= 3 hrs 20 min
MCQs :
1. (a)
2. (b) 3. (c) 4. (a) 5. (a)
13
–
×
+
÷
Geometry
Exercise-13.1
1. Name the following figures :
(a) Horizontal line
(b) Slanting line
(c) slanting line
2. Draw each of the following :
(a) A
(b) C
B
D
(c)
E
F
(d)
P
Q
(e)
Q
R
(f)
S
T
3. Fill in the blanks :
(a) definite
(c) no
(b) only one
(d) one
216
(e) plane
–
×
+
×
÷
Exercise-13.2
1. Tick (3) the simple closed curves:
(a) 3 (b) 7 (c) 3 (d) 3 (e) 7 (f) 3 (g) 3 (h) 3
2. Tick (3) the polygons :
(a) 3 (b) 3 (c) 3 (d) 3 (e) 7 (f) 3 (g) 7 (h) 7
Exercise-13.3
+
÷
1. Radius, Diameter, chord, Arc, semi-circle, circumference
2. Fill in the blanks :
(a) closed
(b) corners
(c) radill
(d) Diameter
(e) circumference .
3. Do yourself.
4. Write ‘T’ for true and ‘F’ for false statements :
(a) F
(b) F
(c) F
(d) T
(e) T
Ex-13.4
Do yourself.
+
÷
Exercise-13.5
–
×
1.
Name the vertex and the arms of each of the angles
shown below :
(a) ÐMLN
(b) ÐPQR
(c) ÐABC
(d) ÐDEF
(e) ÐRST
2. Do yourself
3. Do yourself
Exercise-13.6
Do yourself.
Exercise-13.7
1. Find the perimeter of the following figures :
(a) 5 + 5 + 5 + 5 = 20 cm
(b) 4 + 5 + 6
= 15 cm
(c) 6 + 8 + 6 + 8 = 28 cm
(d) 7 + 6 + 6 + 7 = 26 cm
217
–
×
+
+
÷
–
×
×
÷
Exercise-13.8
1. Tick (3) the top view of the following :
(a) (iii) (b) (ii) (c) (i)
2. Match the net to the solid :
(a) (i)
(b) (ii)
M.C.Qs.
1. (c) 2. (d) 3. (c) 4. (c) 5. (a)
14
Number Patterns
1. For each of the following number sequences, find the
rule to generate the sequence and use it to write down
the next three numbers :
(a) 49, 56, 63
(b) 31, 38, 46
(c) 112, 128, 144
(d) 52, 44, 36
(e) 231, 271, 316
2. Find the missing number in each of the following figures :
(a) 20 (b) 80 (c) 99 (d) 30 (e) 72 (f) 30
3. Observe the pattern and complete the series :
(a) 10, 13
(b) 25, 149, 199, 249
4. Observe the pattern and complete the series :
(a) 1000, 10000, 100000
(b) 700, 7000, 70000
5. 1111111 × 1111111= 1234567654321
6. Multiply the following :
(a) 5625
(b) 13225
(c) 50625 (d) 18225
Exercise-14.2
Do yourself
Exercise-14.3
Do yourself.
218
+
÷
–
×
×
÷
+
Exercise-14.4
1. Find the multiplication fact in lattice method:
(a) 5 × 2 = 10
(b) 7 × 0 = 0
+
÷
–
×
(c) 4 × 5 = 20
MCQs
1. (a)
+
(d) 2 × 4 = 8
÷
2. (d)
3. (b) 4. (a) 5. (c)
Formative Assessment-4
(Based on chapter 12-14)
1. Write the time shown on each clock face :
(a) 6 : 17, (b) 9 : 30, (c) 3 : 40, (d) 7 : 55 (e) 9 : 25
(f) 2 : 37 (g) 12 : 45 (h) 5 : 18
2. Tick (3) the polygons :
(a)
(b)
3
(c)
(d)
3
3
3
3. Do yourself.
15
Symmetry
Exercise-15.1
1. How many lines of symmetry do the following figures
have?
(a) one
(b) one
(c) four
(d) one
2. Do yourself.
219
–
×
+
+
÷
×
÷
Exercise-15.2
1. Is the dotted line shown in each figure a line of
symmetry? Write ‘Yes’ or ‘no’ :
(a) yes
(b) yes
(c) No
(d) No
(e) Yes
(f) Yes
(g) No
(h) No
2. Do yourself
3. Fill in the blanks :
(a) four
(b) countless
(c) three
(d) two
Exercise-15.3
1. Tick (3) the patterns that represent tessellation :
(a) 3
(b) 7
(c) 7
(d) 7
(e) 3
(f) 3
2. Do yourself
3. Do yourself.
Exercise-15.4
1. 6
2. Do yourself.
MCQs.
1. (c)
2. (a) 3. (c) 4. (a)
16
–
×
+
÷
Data Handling
Exercise-16.1
1. (a) Sale of fruits
(b) Banana
(d) Strawberry
(e) 6 × 50 = 300
2. (a) Class I
45
Class II 35
Class III 30
Class IV 35
Class V 45
(b) Class I, Class V
(c) Class III
(d) 65
3. (a) 900
(b) 1500
(c) 800 Deluxe
(d) 300
220
(c) 250
–
×
+
×
÷
4. Number of students of a class using different soaps :
Shop
Students of a class using different soap
Lifeboy
Dove
+
÷
+
Medimix
Lux
Cinthol
Here one picture represents 5 shops
5. The information about 160 cows in five villages A, B, C,
D and E is given below :
Villages
Cows
Villages A
–
×
÷
–
×
Villages B
Villages C
Villages D
Villages E
here one picture respresents 5 villages
Exercise-16.2
1. (a) 90
(b) Ford
(c) 70 – 30 = 40
(d) Ford, Hyundai, Toyota, Honda, Maruti
2. (a) Friday
(b) Saturday
(c) 35 (d) Tuesday
221
+
+
3. (a) 1.4 m
(b) 1.5 m – 1.1 m = 0.4 m
(c) 12 years
MCQs:
1. (a) 2. (a) 3. (b) 4. (c) 5. (c)
Summative Assessment-2
(Based on chapter 9-16)
1. Tick (3) the correct option :
(i) a
(ii) a
(iii) b
(iv) b
(v) a
Here is a bar graph. It was drawn to show the favourite
fruits of children in a class.
Y
Number of Children
÷
–
×
×
÷
10
9
8
7
6
5
4
3
2
1
0
÷
X
Apple
Cherry
Banana
Orange
Date
Grapes
Each block the vertical scale represent one child.
(vi) a
+
(viii) b
(c) c
2. Find like, unlike and equivalent decimals in the following
pairs.
(a) Like
(b) Unlike
(c) like
(d) equivalent
(e) like
(f) equivalent
222
–
×
+
×
÷
3. Sneha purchased butter for `= 45.25
bread for `
= 20.50
She spend money
= 45.25 + 20.50
= `65.75
4. Riya had
= `500
She bought a purse for
= `228.17
Money was left with Riya = `(500-228.17)
+
÷
–
×
5. A calculator costs
Cost of 8 such calculator
= `252.45
= `(252.45 × 8)
= `2019.6
6. Solve the following :
(a) A packet of biscuit weigh = 300g
A packet of sugar weigh = 250g
A packet of sweets weight= 346g
they weigh together
= (300 + 250 + 346) g
= 896g
(b) A shopkeeper has mustard oil = 25 L 300 ml
refined oil
= 12 L 200 ml
Kerosene oil
= 8 L 431 ml
total capacity of oil in his shop= L
ML
25 300
12 200
+ 8 431
45 931
223
+
÷
–
×