Worksheet on maths class 7th for solving n number of questions

MCQ WORKSHEET-1
CLASS – VII: CHAPTER – 1
INTEGERS
Page - 1 -
1. 2 subtracted from 7 gives
(a) – 9 (b) 5 (c) - 5 (d) 9
2. 5 added to – 5 gives
(a) 10 (b) - 10 (c) 0 (d) - 25
3. 3 taken away from 0 gives
(a) 3 (b) - 3 (c) 0 (d) not possible
4. Smallest integer is
(a) 0 (b) - 1 (c) we cannot write (d) – 10000
5. Which of the following statement is true:
(a)2 subtracted from – 3 gives 1 (b) – 1 subtracted from – 5 gives 6
(c)3 subtracted from – 8 gives – 11 (d)1 subtracted from – 7 gives – 6
6. Absolute value of - 11 is
(a) 10 (b) – 1 (c) 11 (d) – 11
7. The number 3 less than – 2 is
(a) – 1 (b) 1 (c) 5 (d) – 5
8. Which of the following numbers is to the right of -3 on number line ?
(a) -4 (b) -2 (c) -5 (d ) -6
9. Which of the following number is not to the left of -10 on the number line ?
(a) -9 (b) - 11 (c) -12 (d) -13
10. The number of integers between -2 and 2 is-
(a) 5 (b) 4 (c) 3 (d) 2
11. The opposite of -7 is
(a) – 6 (b) 6 (c) 5 (d) 7
12. Sum of two negative integers is always
(a) Positive (b) Negative (c) 0 (d) 1
13. Sum of – 30 and – 12 is
(a) 42 (b) - 18 (c) - 42 (d) 18
14. In addition and subtraction of the integers the sign of answer depends upon
(a) Smaller Number (b) Their Difference (c) Their Sum (d) Greater numerical value
15. Sum of -14 and 9 is
(a) 23 (b) – 23 (c) – 5 (d) 5

MCQ WORKSHEET-2
INTEGERS
Page - 2 -
1. Which of the following number is greater than – 1 ?
(a) – 2 (b) – 10 (c) 0 (d) – 3
2. The preceding number of - 1 on number line is:
(a) 0 (b) 1 (c) 2 (d) - 2
3. Which number is 5 more than – 3?
(a) – 2 (b) 2 (c) 8 (d) - 8
4. 7 steps to the left of 4 on number line gives:
(a) 3 (b) 11 (c) - 11 (d) - 3
5. 2 steps to the right of – 1 on number line gives:
(a) 0 (b) 1 (c) – 3 (d) 3
6. Which number is being represented by the point A on following number line:
A
0
(a) – 9 (b) 5 (c) -5 (d) - 6
7. What number is being represented by points A and B respectively on the number line:
B A
0
(a) 3 and 2 (b) 2 and 3 (c) - 3 and – 2 (d) 3 and – 2
8. The integer succeeding - 9 is:
(b) – 10 (b) 10 (c) - 8 (d) 8
9. What will be the opposite of 3 Km south?
(a) 3 km east (b) 3 km north (c) 3 km north east (d) 3 km west
10. Which of the following set of numbers is in descending orders?
(a) 2, - 2 , 1 , - 1 (b) 0, 1, 2, 3 (c) 1, 0 , - 1 , -2 (d) – 3 ,- 2 , -1 , 0
11. Which of the following statements is false:
(a) 0 lies to the left of – 1 (b)2 lies to the right of 1
(c)1 lies to the right of 0 (d) – 2 lies to the left of – 1
12. 5 added to the – 1 gives
(a) 4 (b) - 4 (c) 6 (d) - 6

MCQ WORKSHEET-3
INTEGERS
Page - 3 -
(a) 6 (b) - 6 (c) - 8 (d) 8
(a) 0 (b) 6 (c) - 6 (d) 9
3. 1 subtracted from – 1 gives
(a) 0 (b) - 1 (c) - 2 (d) 2
4. Sum of – 10 , - 5 and 12 is
(a) 27 (b) – 3 (c) 3 (d) – 27
5. Which of the following statements is false
(a)– 4 > - 5 (b) – 4 < 5 (c) 4 < - 5 (d) 4 > - 5
6. Which of the following is in increasing order
(a) 0 , 1 , - 1 (b) – 1 , - 2 , - 3 (c) – 1 , 0 , 1 (d) – 1 , 1 , - 2
7. Which of the following is correct
(a) – 8 > - 7 (b) 1 < 0 (c) – 1 < 0 (d) – 2 > 4
8. Which of the following number forms a pattern
(a) – 6 , - 3 , 0 , 3 (b) – 5 , - 3 , - 2 , 0 (c) 0 , 2 , 3 , 4 (d) 1 , 2 , 4 , 6
9. Sum of – 36 and 29 is
(a) –65 (b) 65 (c) –7 (d) 7
10. Which of the following will give answer with negative sign
(a) – 48 + 79 (b) – 40 + 40 (c) – 48 + 30 (d) 48 + ( - 39 )
11. What will be the additive inverse of -1 ?
(a) -2 (b) -1 (c) 0 (d) 1
12. Sum of two positive integers is always-
(a) Negative (b) positive (c) 0 (d) 1
13. Sum of a negative and a positive integer is –
(a) Always negative (b) either positive or negative (c) always positive (d) Zero
14. The pair of integers whose sum is –5
(a) 1, –4 (b) –1 , 6 (c) –3 , –2 (d) 5, 0
15. 39 – 50 is
(a) Not possible (b) -89 (c) -11 (d) 10

MCQ WORKSHEET-4
INTEGERS
Page - 4 -
Q1. In addition and subtraction of two integers , sign of the answer depends upon
(a) Smaller number (b) Their difference (c) Their sum (d) Greater numerical value
Q2. Sum of two negative number is always
(a) Positive (b) Negative (c) 0 (d) 1
Q3. Sum of two Positive number is always
Q5. Sum of –19 and –21 is
(a) –40 (b) 40 (c) 2 (d) –2
Q6. Which of the following statement is false:
(a) –7 + (–6 ) = –13 (b) –5 + 1 = 4 (c) 2 + (–1 ) = 1
(d) 8 + (–9 ) = –1
Q7. The pair of integers whose sum is –5
(b) 1, –4 (b) –1 , 6 (c) –3 , –2 (d) 5, 0
Q8. What integers or number should be added to –5 to get 4
(a) 1 (b) –1 (c) –9 (d) 9
Q9 . What will be the additive inverse of –5
(a) –6 (b) –4 (c) 3 (d) 5
Q10. What will be the additive inverse of 7
(a) –7 (b) –6 (c) –5 (d) –4
Q11. Predecessor of –9 is
(a) –8 (b) 8 (c) –10 (d) 10
Q12. Successor of –1 is
(a) –2 (b) 0 (c) 1 (d) 2
Q13. The value of
(a) 3
6 – ( –3 ) is
(b) –9 (c) –3 (d) 9
Q14. The value of
(a) 4
26 – 30 is equal to
(b) –4 (c) –56 (d) 56
Q15. Which of the following statement is true
(a) 7 – 4 = 4 – 7 (b) 7 – 4 > 4 – 7 (c) 7 – 4 < 4 – 7 (d) 7 – 4 = – 3
(a) Negative (b) Positive (c) 1 (d) 0
Q4. Sum of – 36 and 29 is
(a) –65 (b) 65 (c) –7 (d) 7

MCQ WORKSHEET-5
INTEGERS
Page - 5 -
Q1. Choose appropriate number for blank: – 7 –
(a) 5 (b) – 5
( ) = 2
(c) 9 (d) – 9
Q2. Multiplication of 3 and – 4
(a) – 7 (b) 12 (c) – 12 (d) 7
Q3. Multiplication of
(a) – 34
– 2 , – 7 and – 10 gives
(b) 19 (c) – 140 (d) 90
Q4. Multiplication of 2 , – 5 and 0 gives
( a) 10 (b) 0 (c) – 10 (d) 7
Q5. Identify the property used in the following: 2 x 13 + 8 x 13 = ( 2+8 ) x 13
(a) Commutative (b) Closure (c) Associative (d) Distributive
Q6. Which number is multiplicative identity for the whole numbers
(a) 0 (b) 1 ( c) 2 (d) 3
Q7. What will be multiplicative inverse of – 8
(a) 8 (b
1
8
(c) –
1
8
(d) 0
Q8. Which property is reflected in the following: 7 x 5 = 5 x 7
(a) Closure (b) Commutative (c) Associative (d) Distributive
Q9. – 18 ÷2 gives
(a) 36 (b) 9 (c) – 9 (d) –16
Q10. – 6 ÷( – 3 ) gives
(a) – 9 (b) 2 (c) – 2 (d) 3
Q11. 15 divided by – 3 is equal to
(a) 12 (b) – 12 (c) – 5 (d) 5
Q12. 0 ÷ 10 gives
(a) 0 (b) 10 (c) 1 (d) – 10
Q13. Which of the following
(a) 0 ÷ 2 = 0
is not true
(b) – 25 ÷ 5 = – 5 (c) 12 ÷ 0 = 12 (d) 4 ÷ 1 = 4
Q14. Which of the following is true
(a) 5 ÷ 7 = 7 ÷ 5 (b) 0 ÷ 3 = 0 ÷ 5 (c) 2 ÷ ( 3 – 1) = 2 ÷ 3 – 2 ÷ 1
(d) 4 ÷ 1 = 1 ÷ 4
Q15 . Which of the following does not represent pair of integer (a, b) such that a ÷ b = 2
(a) ( – 6 , – 3 ) (b) ( – 2 , 1) (c) (– 10 , – 5 ) (d) (8 , 4 )

MCQ WORKSHEET-VI
INTEGERS
Page - 6 -
Q1 . On dividing a negative integers by other negative integer the quotient will be
(a) Always negative (b) Always positive (c) Either positive or negative (d) 1
Q2. Which of the following statement is true
(a) 7 ÷ 0 = 7 (b) 7 ÷ 0 = 0 (c) 7 ÷ 0 = 0 ÷ 7 (d) 0 ÷ 7 = 0
Q3. Product of two negative integers is always
(a) Always negative (b) Always positive (c) Either positive or negative(d) 0
Q4. The integer whose product with – 1 is – 40 is
(a) 20 (b) – 20 (c) – 40 (d) 40
Q5. Absolute value of – 11 is
(a) – 10 (b) 10 (c) 11 (d) 0
Q6. – 8 x 10 x 9 is equal to
(a) 27 (b) – 27 (c) – 720 (d) 720
Q7. 16 x 10 + 2 is equal to
(a) 162 (b) 192 (c) 52 (d) 320
Q8. – 16 x ( – 1) is equal to
(a) – 17 (b) 17 (c) 16 (d) – 16
Q9. 125 ÷ ( – 25 ) is equal to
(a) 1 (b) 5 (c) – 5 (d) 100
Q10. ( – 50 ) ÷ = – 1 , number in the blank will be
(a) 49 (b) 50 (c) – 50 (d) 51

PRACTICE QUESTIONS
INTEGERS
Page - 7 -
1. Write the opposite of each of the following:
(i) Increase in class strength (ii) going north (ii) A loss of Rs 1000
2. Indicate the following by integers:
(i) 250
above zero (ii) 50
below zero (iii) 300m above the sea level
(iv) 250m below the sea level (v) A profit of Rs. 2000
3. Represent the following integers on number line:
(i) –4 (ii) 7 (iii) –8
4. Write all the integers between:
(i) –7 and 3 (ii) – 2 and 2 (iii) –4 and 0
5. How many integers are between:
(i) – 4 and 3 (ii) 5 and 12 (iii) –9 and –2
6. Represent the following using integers with proper sign: (a) 3 km above sea level (b) A loss of
Rs 500
7. Find the sum of the pairs of integers: (a) – 6, – 4 (b) +3, – 4 (c) +4, –2
8. Find the sum of –2 and –3, using the number line.
9. Subtract : (i) 3 from –4 (ii) –3 from –4
10. Using the number line, subtract : (a) 2 from –3 (b) –2 from –3.
11. How many integers are there between –9 and –2 ?
12. Calculate: 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9 – 10
13. The sum of two integers is 47. If one of the integers is – 24, find the other.
14. Write the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in this order and insert ‘+ ‘or ‘–’ between them to get
the result (a) 5 (b) –3
15. Compute each of the following:
(a) 30 + (–25) + (–10) (b) (–20) + (–5)
(c) 70 + (–20) + (–30) (d) –50 + (–60) + 50
(e) 1 + (–2) + (– 3) + (– 4) (f) 0 + (– 5) + (– 2)
(g) 0 – (–6) – (+6) (h) 0 – 2 – (–2)
16. If we denote the height of a place above sea level by a positive integer and depth below the sea
level by a negative integer, write the following using integers with the appropriate signs:
(a) 200 m above sea level (b) 100 m below sea level
(c) 10 m above sea level (d) sea level
17. Write the opposite of each of the following:

Page - 8 -
(a) Decrease in size (b) Failure
(c) Profit of Rs.10 (d) 1000 A.D.
(e) Rise in water level (f) 60 km south
(g) 10 m above the danger mark of river Ganga
(h) 20 m below the danger mark of the river Brahmaputra
(i) Winning by a margin of 2000 votes
(j) Depositing Rs.100 in the Bank account
(k) 20°C rise in temperature.
18. Temperature of a place at 12:00 noon was +5°C. Temperature increased by 3°C in first hour and
decreased by 1°C in the second hour. What was the temperature at 2:00 pm?
19. Write the digits 0, 1, 2, 3, ..., 9 in this order and insert ‘+’ or ‘–’ between them to get the result 3.
20. Write the integer which is its own additive inverse.
21. Write six distinct integers whose sum is 7.
22. Write the integer which is 4 more than its additive inverse.
23. Write the integer which is 2 less than its additive inverse.
24. Write two integers whose sum is less than both the integers.
25. Write two distinct integers whose sum is equal to one of the integers.
26. Using number line, how do you compare (a) two negative integers? (b) two positive integers? (c)
one positive and one negative integer?
27. Observe the following : 1 + 2 – 3 + 4 + 5 – 6 – 7 + 8 – 9 = –5
28. Change one ‘–’ sign as ‘+’ sign to get the sum 9.
29. Arrange the following integers in the ascending order : –2, 1, 0, –3, +4, –5
30. Arrange the following integers in the descending order : –3, 0, –1, –4, –3, –6
31. Write two integers whose sum is 6 and difference is also 6.
32. Write five integers which are less than –100 but greater than –150.
33. Write four pairs of integers which are at the same distance from 2 on the number line.
34. The sum of two integers is 30. If one of the integers is –42, then find the other.
35. Sum of two integers is –80. If one of the integers is –90, then find the other.
36. At Srinagar temperature was – 5°C on Monday and then it dropped by 2°C on Tuesday. What
was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the
temperature on this day?
37. A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly
above a submarine floating 1200 m below the sea level. What is the vertical distance between
them?

Page - 9 -
38. Mohan deposits Rs 2,000 in his bank account and withdraws Rs 1,642 from it, the next day. If
withdrawal of amount from the account is represented by a negative integer, then how will you
represent the amount deposited? Find the balance in Mohan’s account after the withdrawal.
39. Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards
west along the same road. If the distance towards east is represented by a positive integer then,
how will you represent the distance travelled towards west? By which integer will you represent
her final position from A?
40. Write a pair of integers whose sum gives
(a) a negative integer (b) zero
(c) an integer smaller than both the integers.
(d) an integer smaller than only one of the integers.
(e) an integer greater than both the integers.
41. Write a pair of integers whose difference gives
(a) a negative integer. (b) zero.
(c) an integer smaller than both the integers.
(d) an integer greater than only one of the integers.
(e) an integer greater than both the integers.
42. Write down a pair of integers whose
(a) sum is –3 (b) difference is –5
(c) difference is 2 (d) sum is 0
43. Write down a pair of integers whose:
(a) sum is –7 (b) difference is –10 (c) sum is 0
44. Write a pair of negative integers whose difference gives 8.
45. Write a negative integer and a positive integer whose sum is –5.
46. Write a negative integer and a positive integer whose difference is –3.
47. Find: 4 × (– 8), 8 × (–2), 3 × (–7), 10 × (–1) using number line.
48. Verify (–30) × [13 + (–3)] = [(–30) × 13] + [(–30) × (–3)]
49. In a class test containing 15 questions, 4 marks are given for every correct answer and (–2)
marks are given for every incorrect answer. (i) Gurpreet attempts all questions but only 9 of her
answers are correct. What is her total score? (ii) One of her friends gets only 5 answers correct.
What will be her score?
50. An elevator descends into a mine shaft at the rate of 5 metre per minute. What will be its position
after one hour? If it begins to descend from 15 m above the ground, what will be its position after
45minutes?
51. A certain freezing process requires that room temperature be lowered from 40°C at the rate of
5°C every hour. What will be the room temperature 10 hours after the process begins?
52. In a test (+5) marks are given for every correct answer and (–2) marks are given for every
incorrect answer. (i) Radhika answered all the questions and scored 30 marks though she got 10

Page - 10 -
correct answers. (ii) Jay also answered all the questions and scored (–12) marks though he got 4
correct answers. How many incorrect answers had they attempted?
53. A shopkeeper earns a profit of Re 1 by selling one pen and incurs a loss of 40 paise per pencil
while selling pencils of her old stock. (i) In a particular month she incurs a loss of Rs 5. In this
period, she sold 45 pens. How many pencils did she sell in this period? (ii) In the next month she
earns neither profit nor loss. If she sold 70 pens, how many pencils did she sell?
54. The temperature at 12 noon was 10°C above zero. If it decreases at the rate of 2°C per hour until
midnight, at what time would the temperature be 8°C below zero? What would be the
temperature at mid-night?
55. An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m
above the ground level, how long will it take to reach – 350 m.
56. Evaluate each of the following:
(a) (–30) ÷ 10 (b) 50 ÷ (–5) (c) (–36) ÷ (–9)
(d) (– 49) ÷ (49) (e) 13 ÷ [(–2) + 1] (f ) 0 ÷ (–12)
(g) (–31) ÷ [(–30) + (–1)]
(h) [(–36) ÷ 12] ÷ 3 (i) [(– 6) + 5)] ÷ [(–2) + 1]
57. Find the product, using suitable properties:
(a) 26 × (– 48) + (– 48) × (–36) (b) 8 × 53 × (–125)
(c) 15 × (–25) × (– 4) × (–10) (d) (– 41) × 102
(e) 625 × (–35) + (– 625) × 65 (f) 7 × (50 – 2)
(g) (–17) × (–29) (h) (–57) × (–19) + 57
58. Verify the following:
(a) 18 × [7 + (–3)] = [18 × 7] + [18 × (–3)]
(b) (–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)]
59. A cement company earns a profit of Rs 8 per bag of white cement sold and a loss of Rs 5 per bag
of grey cement sold.
(a) The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month.
What is its profit or loss?
(b) What is the number of white cement bags it must sell to have neither profit nor loss, if the
number of grey bags sold is 6,400 bags.
60. Find each of the following products:
(i) (–18) × (–10) × 9 (ii) (–20) × (–2) × (–5) × 7 (iii) (–1) × (–5) × (– 4) × (– 6)

MCQ WORKSHEET-I
FRACTIONS AND DECIMALS
Page - 11 -
1. Which of the following fraction has numerator 5
a)
2
b)
5
(c) 1
5
(d) 7
1
5 7 7 5
2. Which of the following fraction has denominator8.
a) 8
b) 1
3
(c) 1
8
(d)
3
3 8 3 8
3. What fraction does the shaded portion in the adjoining fig. represents.
a)
5
b)
2
3
(c)
5
2
(d)
5
5 3
4. Which one of the following is proper fraction?
a)
7
b)
5
3
(c)
2
4
(d)
4
7 3
5. Which one of the following is improper fraction?
a)
2
b)
3
5
(c)
7
7
(d)
1
4 2
6. What is the value of 2
+
3
7 7
a)
5
b)
14
5
(c)
7
6
(d)
35
7 14
7. What is the value of 3
+
2
5 7
a)
5
b)
12
29
(c)
35
31
(d)
5
35 35
8. What is the value of
2
+
1
+
7
3 3 3
a)
10
b)
10
(c) 30
(d)
10
3
9
2
+
1
+
7
3 3 3
3 27
a)
10
b)
10
(c) 30
(d)
10
3
9
5
-
3
3 27
8 8
a)
37
b)
16
1
(c)
8
2
(d)
43
8 8

MCQ WORKSHEET-II
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 12 -
1.
What is the value of
4
-
2
5 3
a)
2
b)
14
(c)
2
(d) none of these
2 15 15
2.
Which of the following drawing shows 2
1
5
a)
b)
c) d)
3.
Which of the following drawing shows 3×
3
= 2
1
4 4
a) =
b) =
c) = d) None of these
4. The value of
1
of 24 is
2
a) 12 b)
1
(c) 48 (d)
1
12 48
5.
The product of
3
and
1
4 5
gives
(a)
3
(b)
5
(c)
12
(d)
20
20 12 5 3
6.
Which of the following product gives the value
78
5
(a) 3 5
1
5
(b)
1
(c) 3
3
5
(d) None of these
26
7. The product of
2
5
5
1
gives
4
(a)
1
(b)
21
(c) 11
(d)
15
2 10 10 10
8. The reciprocal of 1
2
is
3
(a)
3
(b) 1
3
(c)
5
(d)
3
2 2 3 5

Page - 13 -
9.
The value of
3
4
of 12 is
(a) 16 (b) 1 (c) 9 (d)
1
16
10.
The value of 3
1
2
of
8
is
3
(a) 4 (b)
28
(c)
3
9
(d)
21
4 16
11.
The value of 4
1
3
of 3 is
(a) 4 (b) 13 (c)
13
(d)
9
9 13
12.
Which of the following is the least form of
18
36
(a)
3
6
(b)
9
18
(c)
1
2
(d)
2
1
13. What is the sum of
(a) 8.550
5.300 and 3.250
(b) 85.50 (c) 5.6250 (d) 8550
14. What is the value of 29.35 ̶ 04.56
(a) 23.75 (b) 16.35 (c) 16.25 (d) 24.79
15. Which one of the following is greater
(a) 5.0 (b) 0.5 (c) 0.005 (d) 0.05

MCQ WORKSHEET-III
Page - 14 -
1. Which one of the following is smaller
( a) 2.031 (b) 2.301 (c) 0.2301 (d) 23.01
2. 7 Rupees 7 paisa can be written in rupees as
(a) Rs7.07 (b) Rs7.70 (c) Rs0.707 (d) Rs 770
3. 5 cm in Km can be written as
(a) 0.0005 (b) 0.00005 (c) 0.0005 (d) 0.05
4. The place value of 2 in 21.38 is
(a) Ones (b) Tens (c) Tenth (d) Hundredth
5. Which one of the following represent the expansion
2 × 1 0 + 0 × 1 + 0 ×
1
+ 3 ×
1
1 0 1 0 0
(a) 20.03 (b) 2.03 (c) 200.03 (d) 2.034
6. The value of 2.71 is
(a) 135.5 (b) 1355 (c) 13.55 (d) 1.355
7. The product of 153.7 and 10 is
(a) 1.537 (b) 15.37 (c) 153.7 (d) 1537
8. The value of 43.07
(a) 4.307
is
(b) 4307 (c) 43.07 (d) 430.7
(a) 0.00003
is
(b) 3 (c) 0.003 (d) 30
(a) 403
is
(b) 0.403 (c) 4.03 (d) 0.0403
11. The value of 0.80 is
(a) 16 (b) 0.16 (c)
1
16
(d) 1.6
(a) 5.25
is
(b) 0.525 (c) 525 (d) 5250
(a) 7800
is
(b) 0.0078 (c) 0.78 (d) 7.8
(a) 0.0263
is
(b) 0.2630 (c) 26300 (d) 26.300
(a) 31
is
(b) 0.0031 (c) 0.31 (d) 3.1

PRACTICE QUESTIONS
1. Fill in the blanks:
(a)
11 .....14 8
(b) .....
95
(c)
12 ...... 32
16 15 15 14 75 200
2. Ali divided one fruit cake equally among six persons. What part of the cake he gave to each
person?
3. Express
11
20
as a decimal.
4. Express 6
2
3
5. Express 3
2
5
as an improper fraction.
as a decimal.
6. Express 0.041 as a fraction.
7. Express 6.03 as a mixed fraction.
2 3 1 5
8. Arrange the fractions , , and in ascending order
3 4 2 6
6 7 4 3
9. Arrange the fractions , , and in descending order.
7 8 5 4
3
10. Write
11. Write
12. Write
4
as a fraction with denominator 44
5
6
as a fraction with numerator 60
129
8
as a mixed fraction.
3 2
13. Add the fractions and .
8 3
3 3
14. Add the fractions
8
and 6 .
4

Page - 16 -
1 1
15. Subtract from .
6 2
1 100
16. Subtract 8
3
from .
9
1 1
17. Subtract 1
4
from 6 .
2
1 1
18. Add 1
4
and 6
2
.
19. Katrina rode her bicycle 6
1
2
km in the morning and 8
3
4
km in the evening. Find the distance
travelled by her altogether on that day.
20. A rectangle is divided into certain number of equal parts. If 16 of the parts so formed represent
1
the fraction
4
, find the number of parts in which the rectangle has been divided.
21. Grip size of a tennis racquet is 11
9
80
cm. Express the size as an improper fraction.
22. Mr. Rajan got a job at the age of 24 years and he got retired from the job at the age of 60 years.
What fraction of his age till retirement was he in the job?
1
23. On an average
10
of the food eaten is turned into organism’s own body and is available for the
nextlevel of consumer in a food chain. What fraction of the food eaten is not available for the
next level?
24. The food we eat remains in the stomach for a maximum of 4 hours. For what fraction of a day,
does it remain there?
25. It was estimated that because of people switching to Metro trains, about 33000 tonnes of CNG,
3300 tonnes of diesel and 21000 tonnes of petrol was saved by the end of year 2007. Find the
fraction of : (i) the quantity of diesel saved to the quantity of petrol saved. (ii) the quantity of
diesel saved to the quantity of CNG saved.
1
26. A cup is
3
full of milk. What part of the cup is still to be filled by milk to make it full?
27. Mary bought
with her?
3
1
m of lace. She used
2
1
3
m of lace for her new dress. How much lace is left
4
28. Sunil purchased
12
1
2
litres of juice on Monday and
14
3
4
litres of juice on Tuesday. How
many litres of juice did he purchase together in two days?

29. When Sunita weighed herself on Monday, she found that she had gained
1
1
kg. Earlier her
4
weight was
46
3
kg. What was her weight on Monday?
8
30. Nazima gave 2
3
4
litres out of the 5
1
2
litres of juice she purchased to her friends. How many
litres of juice is left with her?
31. Roma gave a wooden board of length
150
1
4
cm to a carpenter for making a shelf. The
Carpenter sawed off a piece of 40
1
5
cm from it. What is the length of the remaining piece?
32. Nasir travelled 3
1
2
km in a bus and then walked 1
1
8
km to reach a town. How much did he
travel to reach the town?
33. The fish caught by Neetu was of weight 3
3
4
kg and the fish caught by Narendra was of weight
2
1
kg. How much more did Neetu’s fish weigh than that of Narendra?
2
34. Neelam’s father needs 1
3
4
1
m of cloth for the skirt of Neelam’s new dress and
2
m for the
scarf. How much cloth must he buy in all?
7 2
35. Write a pair of fractions whose sum is
11
and the difference is
11
36. Simplify:
5
+
3
+
1
6 4 2
37. Simplify:
5
+
2
+
3
8 5 4
3
38. Simplify: +
7
+
3
39. Simplify:
40. Simplify:
10 15 5
4
2
+3
1
+ 7
1
3 4 2
7
1
+ 3
2
+ 5
1
3 3 6

41. Simplify:
42. Simplify:
43. Simplify:
2
1
+1
2
+ 5
1
3 3 6
2
1
−1
2
+ 5
1
3 3 6
7
1
+ 3
2
−5
1
3 3 6
44. If
5
=
20
, then find the value of p.
8 p
45. Arrange in descending order:
8 8 8 8
, , ,
17 5 9 13
5
, 3
,
1
,
4
9 12 3 15
2
,
11
,
9
,
13
48. Arrange in ascending order:
7 35 14 28
2 3 1 3
, , ,
5 4 2 5
4 3 6 5
, , ,
6 8 12 16
5 3 6 1 6
, , , ,
6 8 12 3 8
51. Ramesh solved
2
7
part of an exercise while Seema solved
4
5
of it. Who solved lesser part?
52. Sameera purchased 3
1
2
kg apples and 4
3
4
kg oranges. What is the total weight of fruits
purchased by her?
53. Suman studies for 5
2
3
hours daily. She devotes 2
4
hours of her time for Science and
5
Mathematics. How much time does she devote for other subjects?
54. Arrange the following in descending order:
55. A rectangular sheet of paper is 12
1
2
cm long and 10
2
3
cm wide. Find its perimeter.
56. Find the perimeters of (i) . ABE (ii) the rectangle BCDE in this figure. Whose perimeter is
greater?

57. Ritu ate
4
5
part of an apple and the remaining apple was eaten by her brother Somu. How much
part of the apple did Somu eat? Who had the larger share? By how much?
58. Michael finished colouring a picture in
7
12
hour. Vaibhav finished colouring the same picture in
3
hour. Who worked longer? By what fraction was it longer?
4
59. Represent pictorially: 2×
2
=
4
5 5
60. In a class of 40 students
1
5
of the total number of studetns like to study English,
2
5
of the total
number like to study mathematics and the remaining students like to study Science.
(i) How many students like to study English?
(ii) How many students like to study Mathematics?
(iii) What fraction of the total number of students like to study Science?
61. Find
1
2
62. Find
3
4
of (i) 24 (ii) 46
of (i) 16 (ii) 36
63. Multiply and express as a mixed fraction:
(a) 3×5
1
5
(b) 5× 6
3
4
(c) 3
1
×6
4
(d) 3
2
×8
5
64. Find
1
2
65. Find
5
8
of (i) 2
3
4
of (i) 3
5
6
(ii) 9
2
3
(ii)
4
2
9
66. Sushant reads
1
3
part of a book in 1 hour. How much part of the book will he read in 2
1
5
hours?
67. Vidya and Pratap went for a picnic. Their mother gave them a water bag that contained 5 litres of
water. Vidya consumed
2
5
of the water. Pratap consumed the remaining water.
(i) How much water did Vidya drink?
(ii) What fraction of the total quantity of water did Pratap drink?
68. Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is
3
4
m. Find the distance between the first and the last sapling.

69. Lipika reads a book for 1
3
4
hours every day. She reads the entire book in 6 days. How many
hours in all were required by her to read the book?
70. A car runs 16 km using 1 litre of petrol. How much distance will it cover using 2
3
4
litres of
petrol.
71. Find: (i)
2
÷
1
5 2
(ii) 2
1
÷
3
3 5
(iii)
3
1
÷1
2
5 3
(iv) 2
1
÷1
1
5 5
72. Express in kg:
(i) 200 g (ii) 3470 g (iii) 4 kg 8 g (iv) 2598 mg
73. Write the following decimal numbers in the expanded form:
(i) 20.03 (ii) 2.03 (iii) 200.03 (iv) 2.034
74. Write the place value of 2 in the following decimal numbers:
(i) 2.56 (ii) 21.37 (iii) 10.25 (iv) 9.42 (v) 63.352.
75. Express as rupees using decimals.
(a) 5 paise (b) 350 paise (c) 2rupees 60paise (d) 5 rupees 9 paise
76. Express as metres using decimals.
(a) 15 cm (b) 8 cm (c) 2 m 15 cm (d) 3 m 70 cm
77. Express as cm using decimals.
(a) 25 mm (b) 5 mm (c) 176 mm (d) 4 cm 5 mm
78. Express as km using decimals.
(a) 6 m (b) 55 m (c) 4545 m (d) 6 km 50 m
79. Express as kg using decimals.
(a) 8 g (b) 160g (c) 7550 g (d) 6 kg 80 g (e) 5 kg 20 g
80. Express each of the following without using decimals:
(a)Rs.5.25 (b)8.354 g (c)3.5cm (d)3.05km
(e)7.54m (f)15.005 kg (g)12.05m (h)0.2m
81. Shyama bought 5 kg 300 g apples and 3 kg 250 g mangoes. Sarala bought 4 kg 800 g oranges
and 4 kg 150 g bananas. Who bought more fruits?
82. How much less is 28 km than 42.6 km?
83. The side of an equilateral triangle is 3.5 cm. Find its perimeter.
84. The length of a rectangle is 7.1 cm and its breadth is 2.5 cm. What is the area of the rectangle?
85. A two-wheeler covers a distance of 55.3 km in one litre of petrol. How much distance will it
cover in 10 litres of petrol?
86. Find the area of rectangle whose length is 5.7cm and breadth is 3 cm.
87. Find the average of 4.2, 3.8 and 7.6.

88. Each side of a regular polygon is 2.5 cm in length. The perimeter of the polygon is 12.5cm. How
many sides does the polygon have?
89. A car covers a distance of 89.1 km in 2.2 hours. What is the average distance covered by it in 1
hour?
90. Convert 2009 paise to rupees and express the result as a mixed fraction.
91. Convert 1537cm to m and express the result as an improper fraction.
92. Convert 2435m to km and express the result as mixed fraction.
93. Express 0.041 as a fraction.
94. A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in
one litre of petrol?
95. Find:
(i) 7 ÷ 3.5 (ii) 36 ÷ 0.2 (iii) 3.25 ÷ 0.5 (iv) 30.94 ÷ 0.7 (v) 0.5 ÷ 0.25
(vi) 7.75 ÷ 0.25 (vii) 76.5 ÷ 0.15 (viii) 37.8 ÷ 1.4 (ix) 2.73 ÷ 1.3
96. Find:
(i) 7.9 ÷ 1000 (ii) 26.3 ÷ 1000 (iii) 38.53 ÷ 1000
(iv) 128.9 ÷ 1000 (v) 0.5 ÷ 1000
97. Find:
(i) 0.4 ÷ 2 (ii) 0.35 ÷ 5 (iii) 2.48 ÷ 4 (iv) 65.4 ÷ 6
(v) 651.2 ÷ 4 (vi) 14.49 ÷ 7 (vii) 3.96 ÷ 4 (viii) 0.80 ÷ 5
98. Find: (i) 7.75 ÷ 0.25 (ii) 42.8 ÷ 0.02 (iii) 5.6 ÷ 1.4
99. Find: (i) 15.5 ÷ 5 (ii) 126.35 ÷ 7
100. Find:
(i) 2.5 × 0.3 (ii) 0.1 × 51.7 (iii) 0.2 × 316.8 (iv) 1.3 × 3.1
(v) 0.5 × 0.05 (vi) 11.2 × 0.15 (vii) 1.07 × 0.02
(viii) 10.05 × 1.05 (ix) 101.01 × 0.01 (x) 100.01 × 1.1

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