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
Place the digits 1 to 9 into the circles so that each side of the
triangle adds to the same total.
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
On Planet Plex, there are only 6 hours in the day. Can you answer
these questions about how Arog the Alien spends his day?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
If each of these three shapes has a value, can you find the totals
of the combinations? Perhaps you can use the shapes to make the
Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?
Claire thinks she has the most sports cards in her album. "I have
12 pages with 2 cards on each page", says Claire. Ross counts his
cards. "No! I have 3 cards on each of my pages and there are. . . .
Use these head, body and leg pieces to make Robot Monsters which
are different heights.
Woof is a big dog. Yap is a little dog.
Emma has 16 dog biscuits to give to the two dogs.
She gave Woof 4 more biscuits than Yap.
How many biscuits did each dog get?
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
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?
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?
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?
Fill in the missing numbers so that adding each pair of corner
numbers gives you the number between them (in the box).
This challenge is about finding the difference between numbers which have the same tens digit.
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.
There were 22 legs creeping across the web. How many flies? How many spiders?
Fill in the numbers to make the sum of each row, column and
diagonal equal to 15.
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
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?
What is happening at each box in these machines?
Can you score 100 by throwing rings on this board? Is there more
than way to do it?
Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
Vera is shopping at a market with these coins in her purse. Which
things could she give exactly the right amount for?
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?
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?
Arrange three 1s, three 2s and three 3s in this square so that
every row, column and diagonal adds to the same total.
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.
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
On the table there is a pile of oranges and lemons that weighs
exactly one kilogram. Using the information, can you work out how
many lemons there are?
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
The clockmaker's wife cut up his birthday cake to look like a clock
face. Can you work out who received each piece?
Find all the numbers that can be made by adding the dots on two dice.
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?
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?
Where can you draw a line on a clock face so that the numbers on
both sides have the same total?
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?
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
The value of the circle changes in each of the following problems.
Can you discover its value in each problem?
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?
This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?
Can you follow the rule to decode the messages?
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.
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?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
This group activity will encourage you to share calculation
strategies and to think about which strategy might be the most
Complete these two jigsaws then put one on top of the other. What
happens when you add the 'touching' numbers? What happens when you
change the position of the jigsaws?
Investigate the different distances of these car journeys and find out how long they take.