Problem 8 · 2014 Math Kangaroo
Easy
Spatial & Visual Reasoning
area-fractionspatial-reasoning
With which square do you have to swap the question-mark square so that the white area and the black area become the same size? (Choose the matching picture.)
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Answer: B
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Hint 1 of 3
Count how many small black parts and how many small white parts the picture has right now.
Still stuck? Show hint 2 →
Hint 2 of 3
If there is more black than white, the new square must add some white to even them out (or the other way round).
Still stuck? Show hint 3 →
Hint 3 of 3
Pick the square that swaps in just the right amount to make black and white match.
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Approach: count the black and white parts and find the square that balances them
- Count up all the black little pieces and all the white little pieces as the picture stands.
- One colour is ahead, so the question-mark square needs to be replaced by one that gives back exactly that difference in the other colour.
- Try each choice and see which one makes the black total equal the white total.
- The square that balances them is B.
Mark:
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