After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

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.

In November, Liz was interviewed for an article on a parents' website about learning times tables. Read the article here.

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?

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?

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

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?

Use your logical reasoning to work out how many cows and how many sheep there are in each field.

This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division.

This number has 903 digits. What is the sum of all 903 digits?

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?

A game that tests your understanding of remainders.

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

Number problems at primary level that may require resilience.

Chandrika was practising a long distance run. Can you work out how long the race was from the information?

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?

Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

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?

If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?

Use this information to work out whether the front or back wheel of this bicycle gets more wear and tear.

Use the information to work out how many gifts there are in each pile.

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'.

Where can you draw a line on a clock face so that the numbers on both sides have the same total?

Rocco ran in a 200 m race for his class. Use the information to find out how many runners there were in the race and what Rocco's finishing position was.

The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?

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?

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?

In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

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?

Take the number 6 469 693 230 and divide it by the first ten prime numbers and you'll find the most beautiful, most magic of all numbers. What is it?

This task combines spatial awareness with addition and multiplication.

This challenge combines addition, multiplication, perseverance and even proof.

Resources to support understanding of multiplication and division through playing with number.

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?

Bernard Bagnall recommends some primary school problems which use numbers from the environment around us, from clocks to house numbers.

The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?

Annie and Ben are playing a game with a calculator. What was Annie's secret number?

On a calculator, make 15 by using only the 2 key and any of the four operations keys. How many ways can you find to do it?

56 406 is the product of two consecutive numbers. What are these two numbers?

Try adding together the dates of all the days in one week. Now multiply the first date by 7 and add 21. Can you explain what happens?

A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.

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.

How will you decide which way of flipping over and/or turning the grid will give you the highest total?