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.
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
This is an adding game for two players.
Arrange three 1s, three 2s and three 3s in this square so that
every row, column and diagonal adds to the same total.
Fill in the numbers to make the sum of each row, column and
diagonal equal to 34. For an extra challenge try the huge American
Flag magic square.
Vera is shopping at a market with these coins in her purse. Which
things could she give exactly the right amount for?
Can you score 100 by throwing rings on this board? Is there more
than way to do it?
What is the sum of all the three digit whole numbers?
Find the sum of all three-digit numbers each of whose digits is
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?
A game for 2 players. Practises subtraction or other maths
In this problem you have to place four by four magic squares on the
faces of a cube so that along each edge of the cube the numbers
There are over sixty different ways of making 24 by adding,
subtracting, multiplying and dividing all four numbers 4, 6, 6 and
8 (using each number only once). How many can you find?
There are three buckets each of which holds a maximum of 5 litres.
Use the clues to work out how much liquid there is in each bucket.
Fill in the missing numbers so that adding each pair of corner
numbers gives you the number between them (in the box).
What is happening at each box in these machines?
This group activity will encourage you to share calculation
strategies and to think about which strategy might be the most
Use the information to work out how many gifts there are in each
Put the numbers 1, 2, 3, 4, 5, 6 into the squares so that the
numbers on each circle add up to the same amount. Can you find the
rule for giving another set of six numbers?
Tell your friends that you have a strange calculator that turns
numbers backwards. What secret number do you have to enter to make
141 414 turn around?
Place the digits 1 to 9 into the circles so that each side of the
triangle adds to the same total.
Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
Max and Mandy put their number lines together to make a graph. How
far had each of them moved along and up from 0 to get the counter
to the place marked?
Peter, Melanie, Amil and Jack received a total of 38 chocolate
eggs. Use the information to work out how many eggs each person
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
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?
Cassandra, David and Lachlan are brothers and sisters. They range
in age between 1 year and 14 years. Can you figure out their exact
ages from the clues?
Investigate the different distances of these car journeys and find
out how long they take.
On a calculator, make 15 by using only the 2 key and any of the
four operations keys. How many ways can you find to do it?
The value of the circle changes in each of the following problems.
Can you discover its value in each problem?
Find the next number in this pattern: 3, 7, 19, 55 ...
Find at least one way to put in some operation signs (+ - x ÷)
to make these digits come to 100.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
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?
Use your logical reasoning to work out how many cows and how many
sheep there are in each field.
Investigate the different distances of these car journeys and find out how long they take.
Can you draw a continuous line through 16 numbers on this grid so
that the total of the numbers you pass through is as high as
Put a number at the top of the machine and collect a number at the
bottom. What do you get? Which numbers get back to themselves?
These alphabet bricks are painted in a special way. A is on one
brick, B on two bricks, and so on. How many bricks will be painted
by the time they have got to other letters of the alphabet?
Where can you draw a line on a clock face so that the numbers on
both sides have the same total?
Use the 'double-3 down' dominoes to make a square so that each side
has eight dots.
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
In sheep talk the only letters used are B and A. A sequence of
words is formed by following certain rules. What do you notice when
you count the letters in each word?
Annie cut this numbered cake into 3 pieces with 3 cuts so that the
numbers on each piece added to the same total. Where were the cuts
and what fraction of the whole cake was each piece?
Find out what a Deca Tree is and then work out how many leaves
there will be after the woodcutter has cut off a trunk, a branch, a
twig and a leaf.
Start with four numbers at the corners of a square and put the
total of two corners in the middle of that side. Keep going... Can
you estimate what the size of the last four numbers will be?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.