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Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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14 Divisors

What is the smallest number with exactly 14 divisors?

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Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

Cubic Masterpiece

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

A solid wooden cube is painted blue on the outside. The cube is then cut into 27 smaller cubes of equal size.

What fraction of the total surface area of these new cubes is blue?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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