Strike it Out game for an adult and child. Can you stop your partner from being able to go?

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.

Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?

What do you notice about these squares of numbers? What is the same? What is different?

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

Make one big triangle so the numbers that touch on the small triangles add to 10.

You have two sets of the digits 0 – 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

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

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?

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?

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

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

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?

You have a set of the digits from 0 – 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).

Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

Using the statements, can you work out how many of each type of rabbit there are in these pens?

How many starfish could there be on the beach, and how many children, if I can see 28 arms?

There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

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.

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

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?

Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?

Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?

Put the numbers 1, 2, 3, 4, 5, 6 into the squares so that the numbers on each circle add up to the same amount. Can you find the rule for giving another set of six numbers?

Can you go from A to Z right through the alphabet in the hexagonal maze?

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

In 1871 a mathematician called Augustus De Morgan died. De Morgan made a puzzling statement about his age. Can you discover which year De Morgan was born in?

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

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

Using only six straight cuts, find a way to make as many pieces of pizza as possible. (The pieces can be different sizes and shapes).

Can you use the information to find out which cards I have used?

Find at least one way to put in some operation signs (+ - x ÷) to make these digits come to 100.

Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?

Use the information about Sally and her brother to find out how many children there are in the Brown family.

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?