Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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?
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.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Can you hang weights in the right place to make the equaliser
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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?
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
Find all the numbers that can be made by adding the dots on two dice.
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Try grouping the dominoes in the ways described. Are there any left
over each time? Can you explain why?
Leah and Tom each have a number line. Can you work out where their counters will land? What are the secret jumps they make with their counters?
A game for 2 players. Practises subtraction or other maths
Choose a symbol to put into the number sentence.
This is an adding game for two players.
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
An old game but lots of arithmetic!
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .
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 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?
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?
Find your way through the grid starting at 2 and following these
operations. What number do you end on?
Use these head, body and leg pieces to make Robot Monsters which are different heights.
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?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Who said that adding couldn't be fun?
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
If you have only four weights, where could you place them in order
to balance this equaliser?
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 people using a pack of cards Turn over 2 cards and try
to make an odd number or a multiple of 3.
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?
Use the number weights to find different ways of balancing the equaliser.
Can you each work out the number on your card? What do you notice? How could you sort the cards?
How could you put eight beanbags in the hoops so that there are
four in the blue hoop, five in the red and six in the yellow? Can
you find all the ways of doing this?
Use these four dominoes to make a square that has the same number of dots on each side.
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
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!
Can you find 2 butterflies to go on each flower so that the numbers
on each pair of butterflies adds to the same number as the one on
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?
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?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?