Unit Test: Integers | Mathematics (Maths) Class 7 (Old NCERT) PDF Download

Time: 1 hour
M.M.: 30

Attempt all questions.

Question numbers 1 to 5 carry 1 mark each.
Question numbers 6 to 8 carry 2 marks each.
Question numbers 9 to 11 carry 3 marks each.
Question numbers 12 & 13 carry 5 marks each.

Q1: Which of the following is a correct example of the commutative property of addition?(1 Mark)
(i) 5 + (-3) = (-3) + 5
(ii) 7 - 2 = 2 - 7
(iii) 8 × (-1) = (-1) × 8
(iv) 9 ÷ 3 = 3 ÷ 9

Q2: Which property states that the sum of two integers is always an integer?(1 Mark)
(i) Associative property
(ii) Distributive property
(iii) Closure property
(iv) Commutative property

Q3: Subtract (-3) from (-8). (1 Mark)

Q4: Find the result of multiplying (-6) by (-4). (1 Mark)

Q5: What is the additive identity for integers? (1 Mark)

Q6: Find three integers whose sum gives 0. (2 Marks)

Q7: Simplify: (-8) × (-7) + (-10) × (-2). (2 Marks)

Q8: Subtract the integer -15 from 9 and check if subtraction is commutative for integers. (2 Marks)

Q9: Verify whether the following holds true for integers:  (3 Marks)
(-12) × (4 + 6) = (-12) × 4 + (-12) × 6.

Q10: In a quiz, team A scored (-50), 30, and (-20) in three successive rounds. Team B scored 20, (-40), and (-10) in three successive rounds.(3 Marks)
(i) Which team has a higher score?
(ii) What is the difference in their total scores?

Q11: Starting from $(-2)\times 4$, write a series of products showing a pattern that eventually leads to the result $(-2)\times (-1)=2$.(3 Marks)

Q12: A shopkeeper earns a profit of ₹2 by selling one notebook and incurs a loss of 50 paise per eraser while selling erasers from old stock. (5 Marks)

(i) In a particular month, the shopkeeper incurs a loss of ₹10. During this period, the shopkeeper sold 60 notebooks. How many erasers did the shopkeeper sell in this period?
(ii) In the next month, the shopkeeper neither makes a profit nor incurs a loss. If the shopkeeper sold 90 notebooks, how many erasers did the shopkeeper sell?

Q13: The temperature at 8 AM was 12°C above zero. If it decreases at the rate of 3°C per hour, at what time will the temperature be 9°C below zero? What will be the temperature at 6 PM? (5 Marks)

You can find the solutions of this Unit Test here: ​Unit Test (Solution): Integers​​​