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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?

Peri the Winkle

Stage: 3 Short Challenge Level: Challenge Level:1

Peri the winkle starts at the origin and slithers anticlockwise around a semicircle with centre $(4,0)$. Peri then slides anticlockwise around a second semicircle with centre $(6,0)$, and finally clockwise around a third semicircle with centre $(3,0)$.

Where does Peri end this expedition?

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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