This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.
Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.

The remainders game
Play this game and see if you can figure out the computer's chosen number.


Consecutive numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.



Missing multipliers

Remainders
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Method in multiplying madness?

Two and two
How many solutions can you find to this sum? Each of the different letters stands for a different number.

Strange bank account
Imagine a very strange bank account where you are only allowed to do two things...



Up, down, flying around
Play this game to learn about adding and subtracting positive and negative numbers

Can you make 100?



Number daisy


Cinema problem
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

Consecutive seven


Round and round and round


Countdown fractions

Going round in circles

Magic letters



Same answer

Where can we visit?

Egyptian fractions
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.

Twisting and turning

More twisting and turning

Connect three
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

Weights

Consecutive negative numbers

The greedy algorithm

Slick summing
Watch the video to see how Charlie works out the sum. Can you adapt his method?


You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.