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. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 What is the next number in this pattern?
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Every gap is +4, so 15 + 4 = 19.
2 Look at the pattern 6, 12, 18, 24. Write the gap between each pair, and the next number.
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The gap is 6, so the next number is 24 + 6 = 30.
3 What is the next number in the pattern 50, 45, 40, 35?
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The gap is −5, so the next number is 30.
Level 2 · Core
4 What is the next number in this pattern?
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Each number doubles, so 24 × 2 = 48.
5 Look at the pattern 1, 2, 4, 7, 11. Write the gap between 7 and 11, and the next number in the pattern.
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The gap from 7 to 11 is 4, so the next gap is +5 and the next number is 11 + 5 = 16.
6 What is the next number in the pattern 2, 4, 8, 16?
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16 × 2 = 32.
Level 3 · Challenge
7 Look at this pattern: 4, 5, 7, 10, 14.1 The gaps go up by 1 each time.
2 The rule is multiply by 2.
3 The next number is 19.
Which statements are correct?
2 The rule is multiply by 2.
3 The next number is 19.
Which statements are correct?
Show worked solution
The gaps are +1, +2, +3, +4, going up by 1 (1 ✓), so this is not doubling (2 ✗). The next gap is +5 and 14 + 5 = 19 (3 ✓). 1 and 3.
8 Look at the pattern 10, 11, 13, 16, 20, 25. Write the gap that comes after +5, and the next number in the pattern.
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The next gap is 6, so the next number is 25 + 6 = 31.
9 A pattern starts at 1 and each number is triple the one before: 1, 3, 9, 27. What is the next number?
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27 × 3 = 81.