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2017 Math Kangaroo

Problem 7

Problem 7 · 2017 Math Kangaroo Easy
Fractions, Decimals & Percents area-fraction

Max colours the squares of the grid so that one third of all the squares are blue and one half are yellow. He colours the rest red. How many squares does he colour red?

Figure for Math Kangaroo 2017 Problem 7
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Answer: C — 3
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Hint 1 of 2
First count the squares in the grid, then find a third of them and a half of them.
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Hint 2 of 2
Red = total minus the blue third minus the yellow half.
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Approach: take fractions of the total square count
  1. The grid is 3 by 6, so there are 18 squares.
  2. One third are blue: 18÷3 = 6 squares; one half are yellow: 18÷2 = 9 squares.
  3. Red is the rest: 18 − 6 − 9 = 3 squares (C).
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