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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?

Petrol Station

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

The volume of petrol that Andrea put in, as a fraction of the volume of the tank is the difference between $\frac{2}{3}$ and $\frac{1}{4}$, which is $\frac{5}{12}$, so she put in $\frac{5}{12}$ of $44$ litres and $\frac{5}{12} \times 44 = \frac{5\times 44}{12}=\frac{5\times11}{3} = \frac{55}{3}=18\frac{1}{3}$.

This problem is taken from the UKMT Mathematical Challenges.
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