Short Problem Showcase

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 

Age 11 to 14 Short Challenge Level:
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 

Age 11 to 14 Short Challenge Level:
Can you arrange the red and blue cards so that the rules are all followed?

Common Remainder 

Age 11 to 14 Short Challenge Level:
144 divided by n leaves a remainder of 11. 220 divided by n also leaves a remainder of 11. What is n?

Magic 7 

Age 11 to 14 Short Challenge Level:
Can you complete this magic square with the numbers from 7 to 15?

Trapezium Arch 

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