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 How many terms are in 3a + 2b − 7?
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Chunks split by + and −: 3a, 2b, −7 → 3 terms.
2 What is the constant term in 5x − 9 + 2x2?
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The term with no variable: −9.
3 Evaluate 2n + 5 when n = 8.
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2 × 8 + 5 = 21.
Level 2 · Core
4 What is the coefficient of y in 12 − y + 3y2?
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−y = −1 × y → coefficient −1.
5 Write an expression for '4 more than half of x' (as a simplified expression).
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Half of x is x/2, then add 4: x/2 + 4.
6 Evaluate 3a − 2b when a = 4, b = −5.
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12 − 2(−5) = 12 + 10 = 22.
Level 3 · Challenge
7 Evaluate x2 − 3x when x = −4.
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(−4)2 − 3(−4) = 16 + 12 = 28.
8 A pattern goes 7, 12, 17, 22, … What is the rule? (as a rule)
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Jumps of 5 → 5n; n = 1 must give 7 → add 2: 5n + 2.
9 Using the rule 5n + 2, which term number equals 92?
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5n + 2 = 92 → 5n = 90 → n = 18.