Problem 15 · 2025 Math Kangaroo
Hard
Geometry & Measurement
symmetry
Tom wants to cut the pizza into two halves so that each half has the same number of tomatoes. There are two ways to do this. Along which lines can he cut?
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Answer: D — 2 or 4
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Hint 1 of 2
A cut through the centre splits the tomatoes into two halves - you need each half to hold the same number.
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Hint 2 of 2
Test the labelled lines: a fair cut has equal tomatoes on both sides.
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Approach: find centre lines that split the tomatoes evenly
- Each valid cut is a straight line through the middle of the pizza.
- Count tomatoes on each side of the labelled lines.
- Lines 2 and 4 each leave the same number of tomatoes on both halves.
- So the answer is D.
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