Problem 8 · 2009 Math Kangaroo
Easy
Counting & Probability
careful-counting
Each digit is built from sticks as shown. The “weight” of a number is the number of sticks used to build it. What is the weight of the heaviest two-digit number?
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Answer: E — 14
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Hint 1 of 2
Count the sticks each digit needs, like a calculator display.
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Hint 2 of 2
Use the two digits that need the most sticks to make the heaviest number.
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Approach: seven-segment stick count
- By the stick pictures, the digit 8 needs 7 sticks, the most of any digit.
- To make the heaviest two-digit number, put 8 in both places: 88.
- Its weight is 7 + 7 = 14 sticks — answer E.
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