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problem

Sideways Ratio

11 to 14

Weekly Problem 33 - 2014
A rectangle with area $125\text{cm}^2$ has sides in the ratio $4:5$. What is the perimeter of the rectangle?

problem

Collatz-ish

14 to 16

A sequence is generated using these rules. For which values of n is the nth term equal to n?

problem

Pyramidal N-gon

14 to 16

The base of a pyramid has n edges. What is the difference between the number of edges the pyramid has and the number of faces the pyramid has?

problem

Parallel Base

11 to 14

Weekly Problem 46 - 2015
The diagram shows two parallel lines and two angles. What is the value of x?

problem

Starfish Spotting

5 to 7

How many starfish could there be on the beach, and how many children, if I can see 28 arms?

problem

It's a Fence!

5 to 11

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

problem

The Fastest Cyclist

14 to 16

Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?

problem

Diagonal in a Spiral

7 to 11

Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.

problem

Red or Black

11 to 14

How many edges of a cube need to be coloured black to mean every face has at least one black edge?

problem

Folded Over

14 to 16

A rectangular piece of paper is folded. Can you work out one of the lengths in the diagram?

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Sideways Ratio

Collatz-ish

Pyramidal N-gon

Parallel Base

Starfish Spotting

It's a Fence!

The Fastest Cyclist

Diagonal in a Spiral

Red or Black

Folded Over