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?
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.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Try grouping the dominoes in the ways described. Are there any left
over each time? Can you explain why?
Mrs Morgan, the class's teacher, pinned numbers onto the backs of
three children. Use the information to find out what the three
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
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!
Find all the numbers that can be made by adding the dots on two dice.
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
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
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 each work out the number on your card? What do you notice?
How could you sort the cards?
This is an adding game for two players.
On Planet Plex, there are only 6 hours in the day. Can you answer
these questions about how Arog the Alien spends his day?
There are 78 prisoners in a square cell block of twelve cells. The
clever prison warder arranged them so there were 25 along each wall
of the prison block. How did he do it?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
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
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!
Fill in the numbers to make the sum of each row, column and
diagonal equal to 15.
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
Annie and Ben are playing a game with a calculator. What was
Annie's secret number?
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.
Fill in the missing numbers so that adding each pair of corner
numbers gives you the number between them (in the box).
Use these head, body and leg pieces to make Robot Monsters which
are different heights.
Zumf makes spectacles for the residents of the planet Zargon, who
have either 3 eyes or 4 eyes. How many lenses will Zumf need to
make all the different orders for 9 families?
There are 44 people coming to a dinner party. There are 15 square
tables that seat 4 people. Find a way to seat the 44 people using
all 15 tables, with no empty places.
Amy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?
Using the statements, can you work out how many of each type of
rabbit there are in these pens?
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?
The clockmaker's wife cut up his birthday cake to look like a clock
face. Can you work out who received each piece?
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
Move from the START to the FINISH by moving across or down to the
next square. Can you find a route to make these totals?
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?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
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?
This challenge is about finding the difference between numbers which have the same tens digit.
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
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?
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
In this game for two players, the aim is to make a row of four coins which total one dollar.
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.
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?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
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?
There are to be 6 homes built on a new development site. They could
be semi-detached, detached or terraced houses. How many different
combinations of these can you find?
Can you find all the ways to get 15 at the top of this triangle of numbers?
This task follows on from Build it Up and takes the ideas into three dimensions!
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?