Problem 6 · 2022 Math Kangaroo
Easy
Algebra & Patterns
arithmetic-sequencedivision
Kengu hops to the right along the number line (see diagram). He makes one big jump and then two little jumps, and repeats this pattern again and again. He starts at 0 and lands on 16. How many jumps does Kengu make in total?
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Answer: E — 12
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Hint 1 of 3
Look at the picture: how many numbers does the big jump cover, and how many does each little jump cover?
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Hint 2 of 3
One round is big-little-little; work out how far one whole round moves him and how many jumps that is.
Still stuck? Show hint 3 →
Hint 3 of 3
Then skip-count by that round-distance until you land on 16.
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Approach: measure one round, then skip-count to 16
- From the picture, the big jump moves 2 spaces and each little jump moves 1 space.
- So one round (big, little, little) moves him 2 + 1 + 1 = 4 spaces using 3 jumps.
- Skip-counting by 4 reaches 16 after 4 rounds (4, 8, 12, 16).
- That is 4 rounds × 3 jumps = 12 jumps (choice E).
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