Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Fill in the numbers to make the sum of each row, column and
diagonal equal to 15.
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?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
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. . . .
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
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?
Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?
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
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
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
On Planet Plex, there are only 6 hours in the day. Can you answer
these questions about how Arog the Alien spends his day?
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 each work out the number on your card? What do you notice?
How could you sort the cards?
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?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
There were 22 legs creeping across the web. How many flies? How many spiders?
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?
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Investigate what happens when you add house numbers along a street
in different ways.
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!
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
Place this "worm" on the 100 square and find the total of the four
squares it covers. Keeping its head in the same place, what other
totals can you make?
Using the cards 2, 4, 6, 8, +, - and =, what number statements can
Can you design a new shape for the twenty-eight squares and arrange
the numbers in a logical way? What patterns do you notice?
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?
Mrs Morgan, the class's teacher, pinned numbers onto the backs of
three children. Use the information to find out what the three
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
Annie and Ben are playing a game with a calculator. What was
Annie's secret number?
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!
Use these head, body and leg pieces to make Robot Monsters which
are different heights.
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?
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?
Arrange eight of the numbers between 1 and 9 in the Polo Square
below so that each side adds to the same total.
This is an adding game for two players.
The clockmaker's wife cut up his birthday cake to look like a clock
face. Can you work out who received each piece?
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.
Using the statements, can you work out how many of each type of
rabbit there are in these pens?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
Fill in the missing numbers so that adding each pair of corner
numbers gives you the number between them (in the box).
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.
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?
How would you count the number of fingers in these pictures?
In this game for two players, the aim is to make a row of four coins which total one dollar.
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
This challenge is about finding the difference between numbers which have the same tens digit.
Can you arrange 5 different digits (from 0 - 9) in the cross in the