Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?
This problem is designed to help children to learn, and to use, the two and three times tables.
Are these statements always true, sometimes true or never true?
This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division.
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
Use your logical reasoning to work out how many cows and how many sheep there are in each field.
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
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.
This challenge is a game for two players. Choose two numbers from the grid and multiply or divide, then mark your answer on the number line. Can you get four in a row before your partner?
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?
What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.
Mr. Sunshine tells the children they will have 2 hours of homework. After several calculations, Harry says he hasn't got time to do this homework. Can you see where his reasoning is wrong?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
In November, Liz was interviewed for an article on a parents' website about learning times tables. Read the article here.
Can you work out what a ziffle is on the planet Zargon?
This activity focuses on doubling multiples of five.
Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?
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?
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?
56 406 is the product of two consecutive numbers. What are these two numbers?
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?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Here is a chance to play a version of the classic Countdown Game.
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?
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?
Bernard Bagnall recommends some primary school problems which use numbers from the environment around us, from clocks to house numbers.
Find a great variety of ways of asking questions which make 8.
This number has 903 digits. What is the sum of all 903 digits?
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?
At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?
Using the statements, can you work out how many of each type of rabbit there are in these pens?
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
Number problems at primary level that require careful consideration.
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
Find the next number in this pattern: 3, 7, 19, 55 ...
Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
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?
These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
Number problems at primary level that may require resilience.
If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?
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.
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Find another number that is one short of a square number and when you double it and add 1, the result is also a square number.
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
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.
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
Choose a symbol to put into the number sentence.