Challenge Level

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?

Challenge Level

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?

Challenge Level

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

Challenge Level

Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?

Challenge Level

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

Challenge Level

How would you count the number of fingers in these pictures?

Challenge Level

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

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

These games devised by Jenni Way use dot cards which will help children see the structure of numbers 1-6 and give them confidence as they begin to add and subtract these numbers.

This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.

Challenge Level

Investigate what happens when you add house numbers along a street in different ways.

Challenge Level

Number problems at primary level that require careful consideration.

Challenge Level

Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?

Challenge Level

Benâ€™s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

Challenge Level

Can you find different ways of creating paths using these paving slabs?

Challenge Level

Dotty Six is a simple dice game that you can adapt in many ways.

Challenge Level

In this simulation of a balance, you can drag numbers and parts of number sentences on to the trays. Have a play!

Challenge Level

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Challenge Level

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?

Challenge Level

Use these head, body and leg pieces to make Robot Monsters which are different heights.

Challenge Level

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.

Challenge Level

What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.

Challenge Level

Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?

Challenge Level

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

Challenge Level

There are nasty versions of this dice game but we'll start with the nice ones...

Challenge Level

Can you substitute numbers for the letters in these sums?

Challenge Level

Can you score 100 by throwing rings on this board? Is there more than way to do it?

Challenge Level

In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?

Challenge Level

Cassandra, David and Lachlan are brothers and sisters. They range in age between 1 year and 14 years. Can you figure out their exact ages from the clues?

Challenge Level

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Challenge Level

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?

Challenge Level

Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.

Challenge Level

Can you each work out the number on your card? What do you notice? How could you sort the cards?

Challenge Level

There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.

Challenge Level

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

Challenge Level

A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

Challenge Level

Can you each work out the number on your card? What do you notice? How could you sort the cards?

Challenge Level

This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.

Challenge Level

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

Challenge Level

You have 5 darts and your target score is 44. How many different ways could you score 44?

Challenge Level

Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?

Challenge Level

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

Challenge Level

Number problems at primary level that may require resilience.

Challenge Level

I was looking at the number plate of a car parked outside. Using my special code S208VBJ adds to 65. Can you crack my code and use it to find out what both of these number plates add up to?