Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
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?
Choose a symbol to put into the number sentence.
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?
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?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
An old game but lots of arithmetic!
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
If you have only four weights, where could you place them in order to balance this equaliser?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
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?
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
Here is a chance to play a version of the classic Countdown Game.
In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?
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?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
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?
Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?
There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?
This is an adding game for two players.
This dice train has been made using specific rules. How many different trains can you make?
In this game for two players, the aim is to make a row of four coins which total one dollar.
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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.
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.
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
Add the sum of the squares of four numbers between 10 and 20 to the sum of the squares of three numbers less than 6 to make the square of another, larger, number.
Ben has five coins in his pocket. How much money might he have?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
These two group activities use mathematical reasoning - one is numerical, one geometric.
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.
Using the statements, can you work out how many of each type of rabbit there are in these pens?
A game for 2 players. Practises subtraction or other maths operations knowledge.
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
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?
Number problems at primary level that require careful consideration.
Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?