Category Archives: Problem of the Week

Problem of the Week 8

This is the 8th problem of the week of MTAP Reviewer. Problem The diagonal of a square is 6cm. Find the area of the square that is twice its size. Solution We can divide a square into several ways, one … Continue reading

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Problem of the Week 8 – Shaded Part

This is the eighth problem in our Problem of the Week. Problem Two semi-circles are placed inside a square as shown below. What is the area of the shaded part?   Solution 1 To get the area of the shaded … Continue reading

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Problem of the Week 7

My apologies for not sustaining the Problem of the Week section of this site. Anyway, I’ll do my best to make Problem of the Week a really weekly post. This week, we are going to tackle two problems since they … Continue reading

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Problem of the Week 6 – Divisibility by 6

Problem The number 25a where a is a digit is divisible by 6. What is the largest possible value of a? Solution A number is divisible by 6 if it is both divisible by 2 and divisible by 3. First, a number if … Continue reading

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The Minimum Gift Wrapper Problem

The last problem in the previous post asked about the least wrapper that can be used to wrap the box below. As we can see, if we wrap each side with a rectangular wrapper, it is equivalent to finding the … Continue reading

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