Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.
Level 1 · Warm-up
1 Write 6 × m in algebra shorthand, without a multiplication sign. (as a simplified expression)
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The multiplication sign is left out, giving 6m.
2 Rewrite n × 7 with the number in front. (as a simplified expression)
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n × 7 is the same as 7 × n, and algebra puts the number first: 7n.
3 If t = 9, find the value of t + 4. (as a number)
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9 + 4 = 13.
Level 2 · Core
4 Write "b divided by 3" in algebra. (as a simplified expression)
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b ÷ 3 is written as the fraction b/3.
5 If k = 7, find the value of 5k. (as a number)
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5 × 7 = 35.
6 Write c × c using a power. (as a simplified expression)
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c × c is written c2, read as "c squared".
Level 3 · Challenge
7 A bag holds n apples and you put 5 more in. Write an expression for how many apples are in the bag now. (as a simplified expression)
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Start with n and add 5 more: n + 5.
8 A square has side length s. Write an expression for its perimeter. (as a simplified expression)
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s + s + s + s is four lots of s, which is written 4s.
9 If y = 8, find the value of 3y + 2. (as a number)
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3 × 8 = 24, then 24 + 2 = 26.