Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

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.

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

Here is a chance to play a version of the classic Countdown Game.

A game for 2 players. Practises subtraction or other maths operations knowledge.

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

The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?

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

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

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?

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.

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?

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

Find a great variety of ways of asking questions which make 8.

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

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.

Tell your friends that you have a strange calculator that turns numbers backwards. What secret number do you have to enter to make 141 414 turn around?

Got It game for an adult and child. How can you play so that you know you will always win?

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?

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.

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.

Investigate the different distances of these car journeys and find out how long they take.

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

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

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

Susie took cherries out of a bowl by following a certain pattern. How many cherries had there been in the bowl to start with if she was left with 14 single ones?

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

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?

Using 3 rods of integer lengths, none longer than 10 units and not using any rod more than once, you can measure all the lengths in whole units from 1 to 10 units. How many ways can you do this?

If you have only four weights, where could you place them in order to balance this equaliser?

Different combinations of the weights available allow you to make different totals. Which totals can you make?

Number problems at primary level that require careful consideration.

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

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

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

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.

How many solutions can you find to this sum? Each of the different letters stands for a different number.

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

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

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?

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?