Chapter 2 of Maths Class 7 deals with Integers, and integers are vital to know the concept of positive and negative numbers. This worksheet contains a series of questions that vary from simple calculations to everyday applications. Students can develop an understanding and control over integers through these problems.
Part A: Multiple Choice Questions (MCQs)
- What is the sum of -9 and 6?
- a) 15
- b) -3
- c) -15
- d) 3
- (-9) + 6 = -3
- Which of the following is a negative integer?
- a) 0
- b) 5
- c) -12
- d) 8
- -12 is a negative integer.
- What is the result of multiplying -4 by -3?
- a) 12
- b) -12
- c) -7
- d) 7
- (-4) × (-3) = 12
- The product of -8 and 0 is:
- a) -8
- b) 8
- c) 0
- d) Undefined
- (-8) × 0 = 0
- Which of the following is the correct result of the operation -5 + 8?
- a) -13
- b) 13
- c) 3
- d) -3
- (-5) + 8 = 3
- What is the sum of -3 and -7?
- a) -10
- b) 10
- c) 3
- d) -3
- (-3) + (-7) = -10
- What is the difference between 8 and -5?
- a) -13
- b) 13
- c) 3
- d) -3
- 8 – (-5) = 8 + 5 = 13
- What is the sum of 6 and -2?
- a) 8
- b) -8
- c) 4
- d) -4
- 6 + (-2) = 4
- What is the result of multiplying -7 by 2?
- a) -14
- b) 14
- c) -5
- d) 5
- (-7) × 2 = -14
- The result of subtracting a negative integer from a positive integer is always:
- a) Positive
- b) Negative
- c) Zero
- d) Undefined
Solution:
- Subtracting a negative integer is the same as adding its positive counterpart, so the result is always positive.
Answer: a) Positive
Part B: Short Answer Questions
- Subtract -7 from 5. What is the result?
Solution:
- 5 – (-7) = 5 + 7 = 12
Answer: 12
- Find the product of -6 and 4.
Solution:
- -6 × 4 = -24
Answer: -24
- What is the result when you subtract 8 from -3?
Solution:
- -3 – 8 = -11
Answer: -11
- If a number is divided by -1, what will the result be?
Solution:
- Dividing any integer by -1 changes its sign.
- Example: 7 ÷ -1 = -7 and -7 ÷ -1 = 7.
Answer: The result will be the number with the opposite sign.
- What is the sum of -6, 4, and -8?
Solution:
- (-6) + 4 + (-8) = -6 + 4 – 8 = -10
Answer: -10
- Find the value of (-5) + (-9) + 3.
Solution:
- (-5) + (-9) + 3 = -5 – 9 + 3 = -11
Answer: -11
- Evaluate: (−3) + (−5) + 2 + (−7)
Solution:
- (-3) + (-5) = -8
- -8 + 2 = -6
- -6 + (-7) = -13
Answer: -13
- A temperature is -4°C. If the temperature decreases by 6°C, what is the new temperature?
Solution:
- New temperature = -4°C – 6°C = -10°C
Answer: -10°C
- Find the sum of the first 5 negative integers.
Solution:
- The first 5 negative integers are: -1, -2, -3, -4, -5
- Sum = (-1) + (-2) + (-3) + (-4) + (-5) = -15
Answer: -15
- What is the result when 7 is divided by -1?
Solution:
- 7 ÷ -1 = -7
Answer: -7
Part C: True or False
- The sum of two positive integers is always positive.
Solution:
- True, the sum of two positive integers is always positive.
Answer: True
- The product of two negative integers is always negative.
Solution:
- False, the product of two negative integers is always positive.
Answer: False
- 0 is considered a positive integer.
Solution:
- False, 0 is neither positive nor negative.
Answer: False
- The sum of two negative integers is always negative.
Solution:
- True, the sum of two negative integers will always be negative.
Answer: True
- When you add a positive integer to a negative integer, the result will always be positive.
Solution:
- False, the result depends on the magnitude of the integers. If the negative integer has a greater magnitude, the result will be negative.
Answer: False
- The product of a negative integer and zero is always zero.
Solution:
- True, multiplying any number by zero gives zero.
Answer: True
- The sum of two negative integers results in a positive integer.
Solution:
- False, the sum of two negative integers is always negative.
Answer: False
- Multiplying a positive integer by a negative integer results in a negative integer.
Solution:
- True, multiplying a positive number by a negative number results in a negative number.
Answer: True
- Dividing a negative integer by a positive integer results in a positive integer.
Solution:
- False, dividing a negative integer by a positive integer results in a negative integer.
Answer: False
- -1 is the smallest negative integer.
Solution:
- False, -1 is greater than other negative integers like -2, -3, etc.
Answer: False
Part D: Application-based Questions
- If you have a bank balance of ₹200 and you withdraw ₹500, what is your balance now?
Solution:
- 200 – 500 = -300
- The balance is ₹-300 (overdraft).
Answer: ₹-300
- A submarine is at a depth of 800 meters below sea level. If it descends another 300 meters, what is its new depth?
Solution:
- New depth = -800 – 300 = -1100 meters
Answer: -1100 meters
- You are climbing a mountain and are currently at 500 meters above sea level. If you descend 200 meters, what is your new height?
Solution:
- New height = 500 – 200 = 300 meters
Answer: 300 meters
- A football team loses 6 points for every penalty. If they incur 4 penalties, what is the total loss of points?
Solution:
- Total loss = 4 × (-6) = -24 points
Answer: -24 points
- The temperature in the morning is -5°C. By afternoon, it rises by 12°C. What is the temperature now?
Solution:
- New temperature = -5 + 12 = 7°C
Answer: 7°C
- A car is moving at -60 km/h in reverse. After a while, it accelerates to 20 km/h in the forward direction. What is the change in speed?
Solution:
- Change in speed = 20 – (-60) = 20 + 60 = 80 km/h
Answer: 80 km/h
- A diver is at a depth of 40 meters below sea level. If he ascends 15 meters, what is his new depth?
Solution:
- New depth = -40 + 15 = -25 meters
Answer: -25 meters
- A stock’s price decreases by ₹50, then increases by ₹20. What is the net change in the stock price?
Solution:
- Net change = -50 + 20 = -30
Answer: -30
- A building is 100 meters tall. If a plane flies at 500 meters above the building, what is the height of the plane?
Solution:
- Height of the plane = 100 + 500 = 600 meters
Answer: 600 meters
- If the temperature drops by 10°C each hour for 3 hours, what is the total drop in temperature?
Solution:
- Total drop = 10 × 3 = 30°C
Answer: 30°C
This worksheet includes 40 questions that cover a variety of operations with integers, including addition, subtraction, multiplication, and division. The application-based problems connect integers with real-life scenarios to deepen understanding. Regular practice of these questions will help solidify your grasp of Class 7 Maths Chapter 2: Integers.
Also Read: Class 7 Maths Chapter 1: Integers – Exercise 1.1 Solutions
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