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Cheese cutting
problem

Cheese Cutting

16 to 18
In this problem we see how many pieces we can cut a cube of cheese into using a limited number of slices. How many pieces will you be able to make?
Cobalt decay
problem

Cobalt Decay

16 to 18

Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.

Rhombus It
problem
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Rhombus It

11 to 16

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

Cryptarithms
problem
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Cryptarithms

11 to 14

Can you crack these cryptarithms?

Strange Bank Account
problem
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Strange Bank Account

11 to 14

Imagine a very strange bank account where you are only allowed to do two things...

problem
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How Odd

5 to 11

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

Sieve of Eratosthenes
problem
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Sieve of Eratosthenes

11 to 14

Follow this recipe for sieving numbers and see what interesting patterns emerge.

Star Polygons
problem
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Star Polygons

11 to 14

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?

Probably a code?
problem
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Probably a Code?

16 to 18

Is the regularity shown in this encoded message noise or structure?

Using non-standard problems to challenge pre-conceptions
article

Using Non-Standard Problems to Challenge Pre-Conceptions

This paper explores the value of using problems as a way of challenging children’s mathematical pre-conceptions and problems' potential for extending their knowledge and understanding. It considers some non-standard problems taken from the NRICH website and examines them in the light of children's solutions and what children have said, or implied, about their thinking.
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