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 comes next: 4, 8, 12, 16, ?
Show worked solution
The pattern adds 4 each time, so next is 16 + 4 = 20.
2 What comes next: 45, 40, 35, ?
Show worked solution
It subtracts 5 each time, so next is 35 − 5 = 30.
3 Fill the gap: 7, 14, ▢, 28
Show worked solution
The pattern adds 7, so the gap is 14 + 7 = 21.
Level 2 · Core
4 A pattern starts at 5 and adds 6 each time. What is the 5th number?
Show worked solution
Reaching the 5th takes 4 jumps of 6, which is 24. So 5 + 24 = 29.
5 What is the rule for 3, 9, 27, 81?
Show worked solution
Each number is 3 times the one before, so the rule is ×3.
6 A pattern goes 100, 91, 82, 73. What is the next number?
Show worked solution
It subtracts 9 each time, so next is 73 − 9 = 64.
Level 3 · Challenge
7 A pattern adds 7 each time. Its 3rd number is 20. What is its 1st number?
Show worked solution
From the 1st to the 3rd is 2 jumps of 7, which is 14. So the 1st is 20 − 14 = 6. (6, 13, 20.)
8 A pattern starts at 2 and doubles each time: 2, 4, 8, … What is the 7th number?
Show worked solution
2, 4, 8, 16, 32, 64, 128 — the 7th number.
9 Is 100 in the pattern 4, 11, 18, 25, …?
Show worked solution
Adding 7 from 4 gives … 88, 95, 102 — it steps over 100. So the answer is no.
⭐ Bonus Challenge · only if the rest felt easy
10 A pattern starts at 7 and adds 4 each time: 7, 11, 15, … What is the 10th number in the pattern?
Show worked solution
Getting to the 10th number takes 9 jumps of 4, which is 9 × 4 = 36. So the 10th number is 7 + 36 = 43.