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Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
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Geometry and measure

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Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
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  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
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For younger learners

  • Early Years Foundation Stage

Being Resourceful - Number

Dozens

Age 7 to 14
Challenge Level Yellow star

Can you select the missing digit(s) to find the largest multiple?

Funny Factorisation

Age 11 to 16
Challenge Level Yellow starYellow star

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

Where Can We Visit?

Age 11 to 14
Challenge Level Yellow starYellow star

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

Two and Two

Age 11 to 16
Challenge Level Yellow starYellow starYellow star

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Stars

Age 11 to 14
Challenge Level Yellow starYellow star

Can you work out what step size to take to ensure you visit all the dots on the circle?

Product Sudoku

Age 11 to 16
Challenge Level Yellow starYellow star

The clues for this Sudoku are the product of the numbers in adjacent squares.

A Chance to Win?

Age 11 to 14
Challenge Level Yellow starYellow starYellow star

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

The Remainders Game

Age 7 to 14
Challenge Level Yellow star

Play this game and see if you can figure out the computer's chosen number.

Nice or Nasty

Age 7 to 14
Challenge Level Yellow star

There are nasty versions of this dice game but we'll start with the nice ones...

Dicey Operations

Age 11 to 14
Challenge Level Yellow star

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

How Much Can We Spend?

Age 11 to 14
Challenge Level Yellow star

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

Missing Multipliers

Age 7 to 14
Challenge Level Yellow star

What is the smallest number of answers you need to reveal in order to work out the missing headers?

Cryptarithms

Age 11 to 14
Challenge Level Yellow star

Can you crack these cryptarithms?

Forwards Add Backwards

Age 11 to 14
Challenge Level Yellow star

What happens when you add a three digit number to its reverse?

Gabriel's Problem

Age 11 to 14
Challenge Level Yellow star

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

Number Lines in Disguise

Age 7 to 14
Challenge Level Yellow starYellow star

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

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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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