Problem 4 · 2018 Math Kangaroo
Easy
Arithmetic & Operations
custom-operationdivision
Which number has to replace the ☆ in the calculation \(2 \cdot 18 \cdot 14 = 6 \cdot \star \cdot 7\) so that it is true?
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Answer: D — 12
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Hint 1 of 2
Work out the whole left-hand side as one number.
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Hint 2 of 2
Then see what the right-hand side already multiplies to, and divide to find the star.
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Approach: evaluate both sides and divide
- Left side: 2 · 18 · 14 = 504.
- Right side without the star: 6 · 7 = 42.
- So 42 · ☆ = 504, giving ☆ = 504 : 42 = 12.
Mark:
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