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 

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

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2
Can you arrange the red and blue cards so that the rules are all followed?

Common Remainder 

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2
144 divided by n leaves a remainder of 11. 220 divided by n also leaves a remainder of 11. What is n?

Magic 7 

Stage: 3 Short Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
Can you complete this magic square with the numbers from 7 to 15?

Trapezium Arch 

Stage: 3 Short Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
Weekly Problem 27 - 2007
Ten stones form an arch. What is the size of the smallest angles of the trapezoidal stones?