Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.
Here is a chance to play a fractions version of the classic Countdown Game.
Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
Using the statements, can you work out how many of each type of rabbit there are in these pens?
56 406 is the product of two consecutive numbers. What are these two numbers?
There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.
Here is a chance to play a version of the classic Countdown Game.
This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!
The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?
A number game requiring a strategy.
All the girls would like a puzzle each for Christmas and all the boys would like a book each. Solve the riddle to find out how many puzzles and books Santa left.
Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
This Sudoku requires you to do some working backwards before working forwards.
In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?
Number problems at primary level that may require resilience.
Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?
This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
Using the numbers 1, 2, 3, 4 and 5 once and only once, and the operations x and ÷ once and only once, what is the smallest whole number you can make?
Can you work out what a ziffle is on the planet Zargon?
Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?
Can you find different ways of creating paths using these paving slabs?
Given the products of adjacent cells, can you complete this Sudoku?
In this article for primary teachers, Lynne McClure outlines what is meant by fluency in the context of number and explains how our selection of NRICH tasks can help.
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?
Choose a symbol to put into the number sentence.
The clues for this Sudoku are the product of the numbers in adjacent squares.
Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?
Can you put these four calculations into order of difficulty? How did you decide?
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
This challenge combines addition, multiplication, perseverance and even proof.
If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?
This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.
This task combines spatial awareness with addition and multiplication.
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
How would you count the number of fingers in these pictures?
When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type. . . .
Number problems at primary level that require careful consideration.