Can you each work out the number on your card? What do you notice? How could you sort the cards?
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
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?
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 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?
How would you count the number of fingers in these pictures?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
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 jugs.
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 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?
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!
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?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
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?
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?
Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Find the sum of all three-digit numbers each of whose digits is odd.
Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
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?
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?
Fill in the numbers to make the sum of each row, column and diagonal equal to 15.
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.
Using the statements, can you work out how many of each type of rabbit there are in these pens?
Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
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.
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?
Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
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 game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.
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?
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?
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 possible?
There were 22 legs creeping across the web. How many flies? How many spiders?
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
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.
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
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?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
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!