During the third hour after midnight the hands on a clock point in
the same direction (so one hand is over the top of the other). At
what time, to the nearest second, does this happen?
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?
Investigate the different distances of these car journeys and find
out how long they take.
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
If you have only four weights, where could you place them in order
to balance this equaliser?
An old game but lots of arithmetic!
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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?
Here is a chance to play a version of the classic Countdown Game.
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.
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?
There are nasty versions of this dice game but we'll start with the nice ones...
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
Find the next number in this pattern: 3, 7, 19, 55 ...
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?
A game for 2 players. Practises subtraction or other maths
Use the number weights to find different ways of balancing the equaliser.
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?
If the numbers 5, 7 and 4 go into this function machine, what
numbers will come out?
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
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?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
Can you hang weights in the right place to make the 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?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
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.
On Planet Plex, there are only 6 hours in the day. Can you answer
these questions about how Arog the Alien spends his day?
This article for teachers suggests ideas for activities built around 10 and 2010.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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.
At the beginning of May Tom put his tomato plant outside. On the
same day he sowed a bean in another pot. When will the two be the
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
In this game for two players, the aim is to make a row of four coins which total one dollar.
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.
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?
Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?
This is an adding game for two players.
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your oponent.
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.
Got It game for an adult and child. How can you play so that you know you will always win?
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?
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.