This is part of our collection of favourite rich tasks arranged by topic.
If you are a teacher, you can find the whole collection on our Secondary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Secondary Curriculum student page.
1 out of 3
Can you select the missing digit(s) to find the largest multiple?
1 out of 3
A game in which players take it in turns to choose a number. Can you block your opponent?
1 out of 3
How much can you read into a T-shirt?
1 out of 3
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
1 out of 3
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
1 out of 3
A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?
1 out of 3
How much of the square is coloured blue? How will the pattern continue?
1 out of 3
Follow this recipe for sieving numbers and see what interesting patterns emerge.
1 out of 3
Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?
1 out of 3
How many different number families can you find?
2 out of 3
Is there an efficient way to work out how many factors a large number has?
2 out of 3
Can you work out what step size to take to ensure you visit all the dots on the circle?
2 out of 3
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
2 out of 3
Can you describe this route to infinity? Where will the arrows take you next?
2 out of 3
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
2 out of 3
Nine squares are fitted together to form a rectangle. Can you find its dimensions?
2 out of 3
Use properties of numbers to work out whether you can satisfy all these statements at the same time.
3 out of 3
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
This article explains various divisibility rules and why they work. An article to read with pencil and paper handy.
1 out of 3
Sequences of multiples keep cropping up...
2 out of 3
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
2 out of 3
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
2 out of 3
The clues for this Sudoku are the product of the numbers in adjacent squares.
3 out of 3
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
1 out of 3
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
2 out of 3
What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?
2 out of 3
Which numbers can we write as a sum of square numbers?
3 out of 3
Can you create a Latin Square from multiples of a six digit number?
3 out of 3
Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.
