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.
Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.
Given the products of adjacent cells, can you complete this Sudoku?
Number problems at primary level that require careful consideration.
There are four equal weights on one side of the scale and an apple on the other side. What can you say that is true about the apple and the weights from the picture?
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?
There are over sixty different ways of making 24 by adding, subtracting, multiplying and dividing all four numbers 4, 6, 6 and 8 (using each number only once). How many can you find?
56 406 is the product of two consecutive numbers. What are these two numbers?
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
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?
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?
Resources to support understanding of multiplication and division through playing with number.
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.
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
Find the smallest whole number which, when mutiplied by 7, gives a product consisting entirely of ones.
What is the sum of all the three digit whole numbers?
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 any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.
This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Use the information to work out how many gifts there are in each pile.
Where can you draw a line on a clock face so that the numbers on both sides have the same total?
Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
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?
Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
What is happening at each box in these machines?
Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
Use this information to work out whether the front or back wheel of this bicycle gets more wear and tear.
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!
If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?
Can you find which shapes you need to put into the grid to make the totals at the end of each row and the bottom of each column?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Find the next number in this pattern: 3, 7, 19, 55 ...
A game that tests your understanding of remainders.
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
I'm thinking of a number. When my number is divided by 5 the remainder is 4. When my number is divided by 3 the remainder is 2. Can you find my number?
Can you work out what a ziffle is on the planet Zargon?
In November, Liz was interviewed for an article on a parents' website about learning times tables. Read the article here.
Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?
Amy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?
Number problems at primary level that may require resilience.
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?