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
Play this game and see if you can figure out the computer's chosen number.
1 out of 3
Here is a chance to play a version of the classic Countdown Game.
1 out of 3
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
1 out of 3
What is the smallest number of answers you need to reveal in order to work out the missing headers?
1 out of 3
In these multiplication and division games, you'll need to think strategically to get closest to the target.
2 out of 3
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
2 out of 3
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
3 out of 3
How many solutions can you find to this sum? Each of the different letters stands for a different number.
How can we help students make sense of addition and subtraction of negative numbers?
1 out of 3
Play this game to learn about adding and subtracting positive and negative numbers
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Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?
1 out of 3
Which set of numbers that add to 100 have the largest product?
1 out of 3
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
1 out of 3
Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
1 out of 3
A jigsaw where pieces only go together if the fractions are equivalent.
1 out of 3
Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?
1 out of 3
Can all unit fractions be written as the sum of two unit fractions?
1 out of 3
Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
1 out of 3
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
1 out of 3
Imagine a very strange bank account where you are only allowed to do two things...
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How many different differences can you make?
1 out of 3
Can you crack these cryptarithms?
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How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
1 out of 3
Choose some fractions and add them together. Can you get close to 1?
1 out of 3
In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?
2 out of 3
Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: ×2 and -5. What do you think?
2 out of 3
The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.
2 out of 3
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
2 out of 3
Different combinations of the weights available allow you to make different totals. Which totals can you make?
2 out of 3
Just because a problem is impossible doesn't mean it's difficult...
2 out of 3
Can you find ways to put numbers in the overlaps so the rings have equal totals?
2 out of 3
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
3 out of 3
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
3 out of 3
The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.
1 out of 3
Here is a chance to play a fractions version of the classic Countdown Game.
2 out of 3
It would be nice to have a strategy for disentangling any tangled ropes...
2 out of 3
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
1 out of 3
Watch the video to see how Charlie works out the sum. Can you adapt his method?
2 out of 3
Find the sum of this series of surds.
