Class 7 Maths Chapter 1 Integers Practice Questions And Answers

CLASS 7 MATHEMATICS | INTEGERS – Chapter 1 – Practice Questions

Answer the following:

1. Write down a pair of integers whose:
a) Sum is -5
b) Difference is -8
c) Sum is 0.

2. Write a pair of negative integers whose difference gives 6.

3. Fill in the blanks to make the following statements true:

a) (-2) + (-4) = (-4) + ———–
b) -24 + ——– = -24
c) 12 + ——– = 0

4. Find each of the following products:

a) (-6) x (4) x 8
b) (-1) x (-4) x (-5)
c)(-10) x (-4) x 0

5. Replace the blank with an integer to make it a true statement.

a) (-2) x —– = 16
b) 4 x ——- = -24
c) (-5) x (-4) = ———

6. Evaluate each of the following:

a) (-40)/10
b) 20/ (-4)
c) 0/ (-13)

7. Fill in the blanks:

a) 65/—- = 65
b) (-21)/ —- = -1
c) 10/ —- = -2

8. In a test containing 10 questions, (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer.

a) Lalitha gets five correct and five incorrect answers. What is her score?
b) Nalini gets six correct and four incorrect answers. What is her score?

9. The sum of two integers is 125. If one of them is -28, find the other integers.

10. If a = -6, b= 4 and c = -2, verify that:

a) a+ (b +c) = (a +b) +c
b) a x (b +c) = a x b + a x c

ANSWERS:

1. a) (-10) and 5.

b) (-10) and (-2)
c) (-5) and +5

2. (-10) and (-16)

3. a) (-2) + (-4) = (-4) + (-2)

b) (-24) + 0 = – 24
c) 12 + (-12) = 0

4. a)(-6) x 4 x 8 = -192

b) (-1) x (-4) x (-5) = -20
c) (-10) x (-4) x 0 = 0

5. a) (-2) x (-8) = 16

b) 4 x (-6) = -24
c) (-5) x (-4) = 20

6. a)-40/10 = -4

b) 20/ -4 = -5
c) 0/ -13 = 0

7. a) 65/1 = 65

b) (-21)/21 = -1
c) 10 / -5 = -2

8. a) Score for five correct answers = 5 x 5 = 25

Score for 5 incorrect answers = 5 x -2 = -10
Total score = 25 + (-10) = 15

b) Score for six correct answers = 6 x 5 = 30
Score for four incorrect answers = 4 x (-2) = -8
Total score = 30 + (-8) = 22

9. Sum of two integers = 125 (given)

One number = -28 (given)
Other number = 125 – (-28) = 125 + 28 = 153.

10. a = -6, b= 4, c = -2 (given)

a) LHS = a + (b +c) = -6 + (4 + -2) = (-6) +2 = -4
RHS = (a + b) + c = (-6 + 4) + -2 = -2 + -2 = -4

So verified.

b) LHS = (-6) x (4 + -2) = (-6) x 2 = -12
RHS = (-6 x 4) + (-6 x -2) = -24 + 12 = -12
So verified.