List

Short Problem Showcase

Did you know we have a huge archive of short problems?

We have decide to feature some of our favourites, and if this whets your appetite, check out the full collection.

Equal Means
problem

Equal Means

Age
14 to 16
Challenge level
filled star filled star empty star
What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?
Red card blue card
problem

Red card blue card

Age
11 to 14
Challenge level
filled star filled star empty star
Can you arrange the red and blue cards so that the rules are all followed?
Common Remainder
problem

Common Remainder

Age
11 to 14
Challenge level
filled star filled star filled star
144 divided by n leaves a remainder of 11. 220 divided by n also leaves a remainder of 11. What is n?
Magic 7
problem

Magic 7

Age
11 to 14
Challenge level
filled star filled star filled star
Can you complete this magic square with the numbers from 7 to 15?
Trapezium Arch
problem

Trapezium Arch

Age
11 to 14
Challenge level
filled star filled star filled star
Weekly Problem 27 - 2007
Ten stones form an arch. What is the size of the smallest angles of the trapezoidal stones?

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