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Key Stage 3 (KS3) Mathematics — practice by topic

Browse 103 questions across 11 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

Integers (33)The Language of Algebra (29)Math Models and Geometry (18)Graphs (17)Absolute Value (1)Exponential Notation (1)Introduction to Integers (1)Order of Operations (1)Perimeter and Area (1)Simplification (1)Simplify Expressions with Exponents (1)

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In algebra, what is a letter called when it stands for a number or quantity whose value may change?Read the answer and worked solution →What is a number called whose value always stays the same, no matter what happens to the variables around it?Read the answer and worked solution →For powers where the exponent is 2 or 3, algebra gives each one a special spoken name. What is a raised to the power 3 called?Read the answer and worked solution →An expression contains both multiplication and division with no grouping symbols or exponents. In what order should they be carried out?Read the answer and worked solution →

Worked practice questions

In algebra, what is a letter called when it stands for a number or quantity whose value may change?

  1. A variable
  2. A constant
  3. A coefficient
  4. An exponent
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Correct answer: A. A variable

1. The rule for algebra states that a letter representing a number whose value may change is called a variable. 2. A constant is a number whose value always stays the same, which is the opposite idea. 3. A coefficient is the number multiplying a variable, and an exponent is the small raised number, so neither fits the description. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.1 Use the Language of Algebra_

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What is a number called whose value always stays the same, no matter what happens to the variables around it?

  1. A variable
  2. A constant
  3. An expression
  4. An equation
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Correct answer: B. A constant

1. The rule for algebra states that a number whose value always stays the same is called a constant. 2. A variable is the opposite idea, since its value may change. 3. An expression or an equation can contain constants, but neither word names the constant itself. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.1 Use the Language of Algebra_

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For powers where the exponent is 2 or 3, algebra gives each one a special spoken name. What is a raised to the power 3 called?

  1. a squared
  2. a doubled
  3. a tripled
  4. a cubed
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Correct answer: D. a cubed

1. Powers with exponent 2 and exponent 3 each get their own special spoken name. 2. The exponent 2 gives the name squared, so a to the second power is a squared. 3. The exponent 3 gives the name cubed, so a to the third power is a cubed. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.1 Use the Language of Algebra_

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