Are these statements always true, sometimes true or never true?
There were 22 legs creeping across the web. How many flies? How many spiders?
Find out about Magic Squares in this article written for students. Why are they magic?!
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.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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. . . .
Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.
The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
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 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?
Ben’s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.
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?
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?
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 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
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.
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.
Fill in the numbers to make the sum of each row, column and diagonal equal to 15.
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
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 work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
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?
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
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 calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Got It game for an adult and child. How can you play so that you know you will always win?
This challenge combines addition, multiplication, perseverance and even proof.
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!
This task combines spatial awareness with addition and multiplication.
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
Investigate the different distances of these car journeys and find out how long they take.
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.
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Here is a chance to play a version of the classic Countdown Game.
Use your logical reasoning to work out how many cows and how many sheep there are in each field.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
On Planet Plex, there are only 6 hours in the day. Can you answer these questions about how Arog the Alien spends his day?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
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?