Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Investigate the different distances of these car journeys and find
out how long they take.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Here is a chance to play a version of the classic Countdown Game.
This is an adding game for two players.
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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?
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?
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.
This challenge is about finding the difference between numbers which have the same tens digit.
A lady has a steel rod and a wooden pole and she knows the length
of each. How can she measure out an 8 unit piece of pole?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your oponent.
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!
You have 5 darts and your target score is 44. How many different
ways could you score 44?
Use the number weights to find different ways of balancing the equaliser.
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?
Winifred Wytsh bought a box each of jelly babies, milk jelly bears,
yellow jelly bees and jelly belly beans. In how many different ways
could she make a jolly jelly feast with 32 legs?
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?
Where can you draw a line on a clock face so that the numbers on
both sides have the same total?
Place the digits 1 to 9 into the circles so that each side of the
triangle adds to the same total.
Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99
How many ways can you do it?
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?
This magic square has operations written in it, to make it into a
maze. Start wherever you like, go through every cell and go out a
total of 15!
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?
Fill in the missing numbers so that adding each pair of corner
numbers gives you the number between them (in the box).
Try adding together the dates of all the days in one week. Now
multiply the first date by 7 and add 21. Can you explain what
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?
Find all the numbers that can be made by adding the dots on two dice.
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
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?
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
Can you hang weights in the right place to make the equaliser
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
Which times on a digital clock have a line of symmetry? Which look
the same upside-down? You might like to try this investigation and
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 these head, body and leg pieces to make Robot Monsters which
are different heights.
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?
This challenge extends the Plants investigation so now four or more children are involved.
Can you each work out the number on your card? What do you notice?
How could you sort the cards?
On Planet Plex, there are only 6 hours in the day. Can you answer
these questions about how Arog the Alien spends his day?
Choose a symbol to put into the number sentence.
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
Can you follow the rule to decode the messages?
Got It game for an adult and child. How can you play so that you know you will always win?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?