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For younger learners

  • Early Years Foundation Stage

Being Resourceful - Algebra

How Old Am I?

Age 14 to 16
Challenge Level Yellow star

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

Attractive Tablecloths

Age 14 to 16
Challenge Level Yellow starYellow star

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

Frogs

Age 11 to 14
Challenge Level Yellow star

How many moves does it take to swap over some red and blue frogs? Do you have a method?

Special Numbers

Age 11 to 14
Challenge Level Yellow star

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

Arithmagons

Age 11 to 16
Challenge Level Yellow star

Can you find the values at the vertices when you know the values on the edges?

Treasure Hunt

Age 7 to 14
Challenge Level Yellow star

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Tower of Hanoi

Age 11 to 14
Challenge Level Yellow starYellow star

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

Shifting Times Tables

Age 11 to 14
Challenge Level Yellow star

Can you find a way to identify times tables after they have been shifted up or down?

A Little Light Thinking

Age 14 to 16
Challenge Level Yellow star

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

Charlie's Delightful Machine

Age 11 to 16
Challenge Level Yellow star

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Multiplication Arithmagons

Age 14 to 16
Challenge Level Yellow starYellow star

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

Finding Factors

Age 14 to 16
Challenge Level Yellow star

Can you find the hidden factors which multiply together to produce each quadratic expression?

Reversals

Age 11 to 14
Challenge Level Yellow starYellow star

Where should you start, if you want to finish back where you started?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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