This problem looks at how one example of your choice can show something about the general structure of multiplication.

Can you work out some different ways to balance this equation?

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Can you replace the letters with numbers? Is there only one solution in each case?

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.

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

There are nasty versions of this dice game but we'll start with the nice ones...

Would you rather: Have 10% of $5 or 75% of 80¢? Be given 60% of 2 pizzas or 26% of 5 pizzas?

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

Can you work as a team to make doughnuts by matching these fractions, decimals and percentages?

Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.