What is the next number in the pattern: 5, 10, 15, 20, ___?
▶ Show Answer
Correct: D) 25
The pattern adds 5 each time: 5, 10, 15, 20, 25. The next number is 25.
Patterns is one of the highest-scoring topics in Class 2 IMO for children who spot the rule quickly. Bronze questions use simple skip-counting sequences (add 5 each time). Silver questions involve multiplicative patterns or arrangements that grow in a predictable way. Gold questions present rules that are harder to spot — such as multiply-then-add, or tiling patterns where the number of pieces follows a formula. Identifying the rule in one or two steps is the skill that separates a Bronze score from a Gold one.
What is the next number in the pattern: 5, 10, 15, 20, ___?
Correct: D) 25
The pattern adds 5 each time: 5, 10, 15, 20, 25. The next number is 25.
Find the missing number in the pattern: 3, 6, 12, ___, 48.
Correct: C) 24
Each number is multiplied by 2: 3 → 6 → 12 → 24 → 48. The missing number is 24.
Aarav arranges tiles in rows. Row 1 has 1 tile, Row 2 has 3 tiles, Row 3 has 5 tiles. Following this pattern, how many tiles will Row 5 have?
Correct: C) 9
The pattern adds 2 each time (odd numbers): Row 1 = 1, Row 2 = 3, Row 3 = 5, Row 4 = 7, Row 5 = 9.
The pattern is: 2, 5, 11, 23, ___. What is the next number?
Correct: C) 47
The rule is: multiply by 2, then add 1. 2 → 5 (×2+1) → 11 (×2+1) → 23 (×2+1) → 47 (×2+1).
Maya builds a row of triangles using matchsticks. 1 triangle needs 3 matchsticks. 2 triangles sharing one side need 5 matchsticks. 3 triangles in a row need 7 matchsticks. How many matchsticks does Maya need for a row of 8 triangles?
Correct: C) 17
The rule is: 2n + 1 matchsticks for n triangles. For 8 triangles: (2 × 8) + 1 = 17 matchsticks.
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