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Olympiad (Class 7) Integers — practice questions — page 2

Explore 54 free Integers questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Integers questions and exercises with answers

Showing questions 31–54 of 54.

How many integers x satisfy −2 ≤ x < 4?Read the answer and worked solution →Add the product of −5 and −5 to the product of −5 and 5. The total isRead the answer and worked solution →A shop earns −6 rupees on each of 23 items of type X and −4 rupees on each of 23 items of type Y. The total in rupees isRead the answer and worked solution →A test gives +4 for a right answer and −1 for a wrong one. A student attempts 20 and gets 14 right. The score isRead the answer and worked solution →A bank balance is −250. After depositing 400 and then spending 300, the balance isRead the answer and worked solution →Which expression has the greatest value?Read the answer and worked solution →Start at −3 on a number line, move 5 right, then 9 left. Where do you stop?Read the answer and worked solution →Find the product (−1) × (−2) × (−3) × (−4) × (−5) × (−6).Read the answer and worked solution →If x is negative and y is positive, which is always positive?Read the answer and worked solution →If x = −4, find the value of x × x − 3 × x.Read the answer and worked solution →Two integers have product −12 and sum 1. The larger integer isRead the answer and worked solution →A frog jumps 4 steps right then 7 steps left, and repeats this 3 times from 0. Its position isRead the answer and worked solution →The temperature falls 3 °C every hour. It is −2 °C at 6 pm. What was it at noon?Read the answer and worked solution →Add the integers in order: −1, 2, −3, 4 and so on up to −9 and 10. The total isRead the answer and worked solution →A sequence adds 1, subtracts 2, adds 3, subtracts 4 and so on, ending by subtracting 100. The final total isRead the answer and worked solution →What is the difference between the greatest and smallest integers x with −6 ≤ x ≤ 4?Read the answer and worked solution →A number farther to the right on a number line than another number isRead the answer and worked solution →Subtract −8 from −3. The answer isRead the answer and worked solution →Which move undoes a move of 6 steps to the right on a number line?Read the answer and worked solution →A shop loses ₹15 every day for 6 days. Taking profit as positive, the net result isRead the answer and worked solution →The notation +3 denotesRead the answer and worked solution →The expression 7 + (−5) has the same value asRead the answer and worked solution →Subtracting 8 from 5 givesRead the answer and worked solution →Which of these is not an integer?Read the answer and worked solution →

Worked practice questions

How many integers x satisfy −2 ≤ x < 4?

  1. 6
  2. 7
  3. 5
  4. 4
Show answer and solution

Correct answer: A. 6

The integers are −2, −1, 0, 1, 2 and 3, so there are 6.

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Add the product of −5 and −5 to the product of −5 and 5. The total is

  1. 0
  2. −25
  3. −50
  4. 25
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Correct answer: A. 0

The first product is 25 and the second is −25, so they cancel to 0.

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A shop earns −6 rupees on each of 23 items of type X and −4 rupees on each of 23 items of type Y. The total in rupees is

  1. −230
  2. −23
  3. −10
  4. 230
Show answer and solution

Correct answer: A. −230

Taking 23 out gives 23 × (−10) = −230.

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