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Key Stage 3 (KS3) Integers — practice questions

Explore 33 free Integers questions in Key Stage 3 (KS3) 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 1–30 of 33.

How is a negative number defined on the number line?Read the answer and worked solution →How is the opposite of a number defined on the number line?Read the answer and worked solution →In the notation negative a, written as -a, what does the minus sign in front of the letter mean?Read the answer and worked solution →Which set of numbers is described as counting numbers, their opposites, and zero?Read the answer and worked solution →How is the absolute value of a number defined?Read the answer and worked solution →Since absolute value measures a distance, what can be said about the sign of any absolute value?Read the answer and worked solution →Simplify the expression negative of negative 6, written as -(-6).Read the answer and worked solution →Simplify the expression |8 + 7| minus |5 + 6|.Read the answer and worked solution →Simplify: 19 plus negative 47.Read the answer and worked solution →Simplify: negative 32 plus 40.Read the answer and worked solution →Simplify: negative 14 plus negative 36.Read the answer and worked solution →Simplify: negative 5, plus 3 times the quantity (negative 2 plus 7).Read the answer and worked solution →Evaluate x plus 7 when x equals negative 11.Read the answer and worked solution →The temperature in a city one morning was 7 degrees below zero Fahrenheit. By noon it had warmed up 12 degrees. What was the temperature at noon?Read the answer and worked solution →Subtracting a number can always be rewritten as adding its opposite. Which pair of expressions shows this for 13 minus 8?Read the answer and worked solution →Simplify: 9 minus negative 15.Read the answer and worked solution →Simplify: negative 74 minus negative 58.Read the answer and worked solution →Simplify: 7 minus the quantity (negative 4 minus 3), minus 9.Read the answer and worked solution →Simplify: 3 times 7, minus 4 times 7, minus 5 times 8.Read the answer and worked solution →Evaluate 20 minus z when z equals negative 12.Read the answer and worked solution →Leslie has $25 in her checking account and writes a check for $8. What is her new balance?Read the answer and worked solution →The sign of the product of two integers depends on their signs. What is the product of a negative integer and a positive integer?Read the answer and worked solution →Multiply: negative 9 times 3.Read the answer and worked solution →Multiply: negative 2 times negative 5.Read the answer and worked solution →Multiply: negative 1 times 7.Read the answer and worked solution →Divide: negative 27, divided by 3.Read the answer and worked solution →Divide: negative 100, divided by negative 4.Read the answer and worked solution →Divide: negative 20, divided by negative 1.Read the answer and worked solution →Simplify: 7 times negative 2, plus 4 times negative 7, minus 6.Read the answer and worked solution →Positive or negative?Read the answer and worked solution →

Worked practice questions

How is a negative number defined on the number line?

  1. A number that is greater than 0
  2. A number with no sign at all
  3. A number that is less than 0
  4. A number equal to its own opposite
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Correct answer: C. A number that is less than 0

1. The rule for negative numbers states that a negative number is a number that is less than 0. 2. A number greater than 0 is positive, which is the opposite idea. 3. Every signed number carries a sign, and only 0 is its own opposite, so neither of those options fits the definition. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 3 "Integers", section 3.1 Introduction to Integers_

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How is the opposite of a number defined on the number line?

  1. The number twice as far from zero
  2. The number one unit closer to zero
  3. The same sign, but a different value
  4. The same distance from zero, opposite side
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Correct answer: D. The same distance from zero, opposite side

1. The rule for opposites requires the same distance from zero, but on the opposite side of the number line. 2. Doubling the distance or moving one unit closer to zero describes a different point entirely. 3. An opposite always flips the sign, so keeping the same sign does not match the definition. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 3 "Integers", section 3.1 Introduction to Integers_

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In the notation negative a, written as -a, what does the minus sign in front of the letter mean?

  1. It gives the opposite of a
  2. It subtracts a from the total
  3. It divides a by negative one
  4. It multiplies a by zero exactly
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Correct answer: A. It gives the opposite of a

1. When a minus sign sits directly in front of a letter, it is read as the opposite of that letter's value. 2. This is different from a minus sign written between two numbers, which signals subtraction instead. 3. Dividing by negative one or multiplying by zero are unrelated operations that this notation does not represent. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 3 "Integers", section 3.1 Introduction to Integers_

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More Mathematics topics

The Language of AlgebraMath Models and GeometryGraphsAbsolute ValueExponential NotationIntroduction to IntegersOrder of OperationsPerimeter and Area