CHAPTER -1 INTEGERS | CLASS 7TH |NCERT MATHS IMPORTANT QUESTIONS & MCQS | EDUGROWN
MATHS IMPORTANT QUESTIONS & MCQS FOR CLASS 7th
Get Chapter Wise MCQ Questions for Class 7 Maths with Answers prepared here according to the latest CBSE syllabus and NCERT curriculum. Students can practice CBSE Class 7 Maths MCQs Multiple Choice Questions with Answers to score good marks in the examination. Students can also visit the most accurate and elaborate NCERT Solutions for Class 7 Maths. Every question of the textbook has been answered here.
Chapter -1 Integers Important Questions & MCQs
MCQs
1. On a number line, when we add a positive integer, we
(a) move to the right
(b) move to the left
(c) do not move at all
(d) none of these
Answer
Answer: (a)
2. On a number line, when we add a negative integer, we
(a) move to the right
(b) move to the left
(c) do not move at all
(d) none of these
Answer
Answer: (b)
3. On a number line, when we subtract a positive integer, we
(a) move to the right
(b) move to the left
(c) do not move at all
(d) none of these
Answer
Answer: (b)
4. On a number line, when we subtract a negative integer, we
(a) move to the right
(b) move to the left
(c) do not move at all
(d) none of these
Answer
Answer: (a)
5. When two positive integers are added, we get
(a) a positive integer
(b) a negative integer
(c) sometimes a positive integer, sometimes a negative integer
(d) none of these
Answer
Answer: (a)
6. When two negative integers are added, we get
(a) a positive integer
(b) a negative integer
(c) sometimes a positive integer, sometimes a negative integer
(d) none of these
Answer
Answer: (b)
7. Which of the following statements is wrong?
(а) When a positive integer and a negative integer are added, we always get a negative integer
(b) Additive inverse of 8 is (- 8)
(c) Additive inverse of (- 8) is 8
(d) For subtraction, we add the additive inverse of the integer that is being subtracted, to the other integer
Answer
Answer: (a)
8. Which of the following is true?
(а) (- 8) + (- 4) > (- 8) – (- 4)
(b) (- 8) + (- 4) < (- 8) – (- 4)
(c) (- 8) + (- 4) = (- 8) – (- 4)
(d) none of these
Answer
Answer: (b)
9. The product of two negative integers is
(a) a positive integer
(b) a negative integer
(c) either a positive integer or a negative integer
(d) none of these
Answer
Answer: (a)
10. The product of three negative integers is
(a) a positive integer
(b) a negative integer
(c) either a positive integer or a nega¬tive integer
(d) none of these
Answer
Answer: (b)
11. (- 1) × (- 1) × (- 1) × ……. 10 times is equal to
(a) 1
(b) – 1
(c) 1 or – 1
(d) none of these
Answer
Answer: (a)
12. (- 1) × (- 1) × (- 1) × …… 5 times is equal to
(a) 1
(b) – 1
(c) 1 or – 1
(d) none of these
Answer
Answer: (b)
13. (- 1) × (- 1) × (- 1) × …… 2m times, where m is a natural number, is equal to
(a) 1
(b) – 1
(c) 1 or – 1
(d) none of these
Answer
Answer: (a)
14. (- 1) x (- 1) x (- 1) × …………….. (2m + 1) times, where m is a natural number, is equal to
(a) 1
(b) – 1
(c) 1 or – 1
(d) none of these
Answer
Answer: (b)
15. (- 20) × (- 5) is equal to
(a) 100
(b) – 100
(c) 20
(d) 5
Answer
Answer: (a)
16. (- 30) × 20 is equal to
(a) 600
(b) – 600
(c) 50
(d) 10
Answer
17. 10 × (- 20) is equal to
(a) 200
(b) -200
(c) 30
(d) 10
Answer
Answer: (b)
18. 3 × 0 is equal to
(a) 0
(b) 3
(c) 1
(d) -3
Answer
Answer: (a)
19. 0 × (- 5) is equal to
(a) 0
(b) 5
(c) – 5
(d) 1
Answer
Answer: (a)
20. (- 2) × 1 is equal to
(a) 2
(b) – 2
(c) 1
(d) – 1
Answer
Answer: (b)
IMPORTANT QUESTIONS
Question 1.
Fill in the blanks using < or >.
(a) -3 …… -4
(b) 6 ……. -20
(c) -8 …… -2
(d) 5 …… -7
Solution:
(a) -3 > -4
(b) 6 > -20
(c) -8 < -2
(d) 5 > -7
Question 2.
Solve the following:
(i) (-8) × (-5) + (-6)
(ii) [(-6) × (-3)] + (-4)
(iii) (-10) × [(-13) + (-10)]
(iv) (-5) × [(-6) + 5]
Solution:
(i) (-8) × (-5) + (-6)
= (-) × (-) × [8 × 5] + (-6)
= 40 – 6
= 34
(ii) [(-6) × (-3)] + (-4)
= (-) × (-) × [6 × 3] + (-4)
= 18 – 4
= 14
(iii) (-10) × [(-13) + (-10)]
= (-10) × (-23)
= (-) × (-) × [10 × 23]
= 230
(iv) (-5) × [(-6) + 5]
= (-5) × (-1)
= (-) × (-) × 5 × 1
= 5
Question 3.
Starting from (-7) × 4, find (-7) × (-3)
Solution:
(-7) × 4 = -28
(-7) × 3 = -21 = [-28 + 7]
(-7) × 2 – -14 = [-21 + 7]
(-7) × 1 = -7 = [-14 + 7]
(-7) × 0 = 0 = [-7 + 7]
(-7) × (-1) = 7 = [0 + 7]
(-7) × (-2) = 14 = [7 + 7]
(-7) × (-3) = 21 = [14 + 7]
Question 4.
Using number line, find:
(i) 3 × (-5)
(ii) 8 × (-2)
Solution:
(i) 3 × (-5)
From the number line, we have
(-5) + (-5) + (-5) = 3 × (-5) = -15
(ii) 8 × (-2)
From the number line, we have
(-2) + (-2) + (-2) + (-2) + (-2) + (-2) + (-2) + (-2) = 8 × (-2) = -16
Question 5.
Write five pair of integers (m, n ) such that m ÷ n = -3. One of such pair is (-6, 2).
Solution:
(i) (-3, 1) = (-3) ÷ 1 = -3
(ii) (9, -3) = 9 ÷ (-3) = -3
(iii) (6, -2) = 6 ÷ (-2) = -3
(iv) (-24, 8) = (-24) ÷ 8 = -3
(v) (18, -6) = 18 ÷ (-6) = -3
Integers Class 7 Extra Questions Short Answer Type
Question 6.
Solve the following:
(i) (-15) × 8 + (-15) × 4
(ii) [32 + 2 × 17 + (-6)] ÷ 15
Solution:
(i) (-15) × 8 + (-15) × 4
= (-15) × [8 + 4]
= (-15) × 12
= -180
(ii) [32 + 2 × 17 + (-6)] ÷ 15
= [32 + 34 – 6] ÷ 15
= [66 – 6] ÷ 15
= 60 ÷ 15
= 4
Question 7.
The sum of two integers is 116. If one of them is -79, find the other integers.
Solution:
Sum of two integers = 116
One integer = -79
Other integer = Sum of integer – One of integer = 116 – (-79) = 116 + 79 = 195
Question 8.
If a = -35, b = 10 cm and c = -5, verify that:
(i) a + (b + c) = (a + b) + c
(ii) a × (b + c) = a × b + a × c
Solution:
(i) Given that a = -35, b = 10, c = -5
LHS = a + (b + c) = (-35) + [10 + (-5)] = (-35) + 5 = -30
RHS = (a + b) + c = [(-35) + 10] + (-5) = (-25) + (-5) = -(25 + 5) = -30
LHS = RHS
Hence, verified.
(ii) a × (b + c) = a × b + a × c
LHS = a × (b + c) = (-35) × [10 + (-5)] = (-35) × 5 = -175
RHS = a × b + a × c = (-35) × 10 + (-35) × (-5) = -350 + (-) × (-) × (35 × 5) = -350 + 175 = -175
LHS = RHS
Hence, verified.
Question 9.
Write down a pair of integers whose
(i) sum is -5
(ii) difference is -7
(iii) difference is -1
(iv) sum is 0
Solution:
(i) (-2) + (-3) = -5
Hence, the required pair of integers = (-2, -3)
(ii) -10 – (-3) = -10 + 3 = -7
Hence, the required pair of integers = (-10, -3)
(iii) (-3) – (-2) = -1
Hence, the required pair of integers = (-3, -2)
(iv) (-4) + (4) = 0
Hence, the required pair of integers = (-4, 4)
Question 10.
You have ₹ 500 in your saving account at the beginning of the month. The record below shows all of your transactions during the month. How much money is in your account after these transactions?
Solution:
Amount in the beginning of the month in the account = ₹ 500
Amount deposited in the account for Jal Board = ₹ 200
Amount paid to Jal Board = ₹ 120
Amount left in the account after the above transactions = ₹ (500 + 200 – 120) = ₹ (700 – 120) = ₹ 580
Amount deposited for LIC India = ₹ 150
Amount paid to LIC India = ₹ 240
Amount left after this transactions = ₹ (580 + 150 – 240) = ₹ (730 – 240) = ₹ 490
Question 11.
The given table shows the freezing points in °F of different gases at sea level. Convert each of these into °C to the nearest integral value using the relations and complete the table
C = 59 [F – 32]
Solution:
Freezing point of Hydrogen = -435°F
C = 59 [-435 – 32]
= 59 [-467]
= 5 × (-51.9)
= 259.5°C or 259°C
For Krypton, freezing point = -251°F
C = 59 [-251 – 32]
= 59 [-283]
= 5 × (-31.4)]
= -157°C
For Oxygen, freezing point = -369°F
C = 59 [-369 – 32]
= 59 [-401]
= 5 × (44.56)
= 222.80° C or 223°C
Hence, the required freezing points at sea level in °C for Hydrogen = -259°C, Krypton = -157°C, Oxygen = -223°C.
Question 12.
Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date on 3 days after tomorrow? [NCERT Exemplar]
Solution:
The date before yesterday = 17 January
The date of yesterday = 17 + 1 = 18 January
Today’s date = 18 + 1 = 19 January
Tomorrow’s date = 19 + 1 = 20 January
Date on 3 days after tomorrow = (20 + 3) = 23rd January
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