Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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?
Here is a chance to play a version of the classic Countdown Game.
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?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Find the sum of all three-digit numbers each of whose digits is odd.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
A game for 2 players. Practises subtraction or other maths operations knowledge.
Can you hang weights in the right place to make the equaliser balance?
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.
Find all the numbers that can be made by adding the dots on two dice.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
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 make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
There are nasty versions of this dice game but we'll start with the nice ones...
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
An old game but lots of arithmetic!
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Choose a symbol to put into the number sentence.
Can you follow the rule to decode the messages?
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?
If you have only four weights, where could you place them in order to balance this equaliser?
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?
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?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Use the number weights to find different ways of balancing the equaliser.
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?
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!
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?
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?
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.
I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?
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!
These two group activities use mathematical reasoning - one is numerical, one geometric.