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 term?
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22 + 5 = 27.
2 For 4, 8, 16, 32, … give the multiplier in the rule and the next term.
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Each term is 2 × the last; 32 × 2 = 64.
3 What is the next term in 100, 91, 82, 73, … ?
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73 − 9 = 64.
Level 2 · Core
4 What is the next term?
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Add 1/4 each time: 1 1/4 + 1/4 = 1 1/2.
5 A pattern starts at 3 and adds 7 each time. Give the 5th term and the 10th term.
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3 + 4 × 7 = 31; 3 + 9 × 7 = 66.
6 What is the next term in 0.2, 0.4, 0.8, 1.6, … ?
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1.6 × 2 = 3.2.
Level 3 · Challenge
7 The pattern 6, 10, 14, 18, … has the rule 4n + 2.1 50 is a term of the pattern.
2 32 is a term of the pattern.
3 The 20th term is 82.
Which statements are correct?
2 32 is a term of the pattern.
3 The 20th term is 82.
Which statements are correct?
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48 is 4 × 12 (1 ✓). 30 is not a multiple of 4 (2 ✗). 4 × 20 + 2 = 82 (3 ✓). 1 and 3.
8 A pattern starts at 6. The rule is "double, then take 4". Give the 2nd and 3rd terms.
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6 × 2 − 4 = 8; 8 × 2 − 4 = 12.
9 A pattern starts at 5 with the rule "double, then add 1". What is the 5th term?
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47 × 2 + 1 = 95.