On Planet Plex, there are only 6 hours in the day. Can you answer
these questions about how Arog the Alien spends his day?
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
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. . . .
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
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?
Fill in the numbers to make the sum of each row, column and
diagonal equal to 15.
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
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?
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
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
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?
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?
Place the digits 1 to 9 into the circles so that each side of the
triangle adds to the same total.
Using the cards 2, 4, 6, 8, +, - and =, what number statements can
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 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?
You have 5 darts and your target score is 44. How many different
ways could you score 44?
There were 22 legs creeping across the web. How many flies? How many spiders?
This task follows on from Build it Up and takes the ideas into three dimensions!
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
Fill in the missing numbers so that adding each pair of corner
numbers gives you the number between them (in the box).
Mr. Sunshine tells the children they will have 2 hours of homework.
After several calculations, Harry says he hasn't got time to do
this homework. Can you see where his reasoning is wrong?
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.
Can you find all the ways to get 15 at the top of this triangle of numbers?
Annie and Ben are playing a game with a calculator. What was
Annie's secret number?
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!
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 same height?
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
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
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 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?
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 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!
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Using the statements, can you work out how many of each type of
rabbit there are in these pens?
This challenge is about finding the difference between numbers which have the same tens digit.
In this game for two players, the aim is to make a row of four coins which total one dollar.
Can you each work out the number on your card? What do you notice? How could you sort the cards?
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?
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.
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.
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
This is an adding game for two players.