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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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Probability and statistics

  • Handling, Processing and Representing Data
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Working mathematically

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  • Cross-curricular contexts

Advanced mathematics

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

  • Early Years Foundation Stage

Being Resilient - Number

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?

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.

Number Daisy

Age 11 to 14
Challenge Level Yellow star

Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?

American Billions

Age 11 to 14
Challenge Level Yellow star

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

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.

Factors and Multiples Puzzle

Age 11 to 14
Challenge Level Yellow star

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

Factors and Multiples Game

Age 7 to 16
Challenge Level Yellow star

A game in which players take it in turns to choose a number. Can you block your opponent?

Add to 200

Age 11 to 14
Challenge Level Yellow star

By selecting digits for an addition grid, what targets can you make?

Forwards Add Backwards

Age 11 to 14
Challenge Level Yellow star

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

Overlaps

Age 11 to 14
Challenge Level Yellow starYellow star

Can you find ways to put numbers in the overlaps so the rings have equal totals?

Can You Make 100?

Age 11 to 14
Challenge Level Yellow star

How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

Shopping Basket

Age 11 to 16
Challenge Level Yellow starYellow starYellow star

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

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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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