A game for 2 players. Draw a daisy with at least 5 petals. Shade 1 or 2 petals next to each other. The winner shades the last petal.

Investigate the sequences obtained by starting with any positive 2 digit number (10a+b) and repeatedly using the rule 10a+b maps to 10b-a to get the next number in the sequence.

At what positions and speeds can the bomb be dropped to destroy the dam?

Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?

An article for students and teachers on symmetry and square dancing. What do the symmetries of the square have to do with a dos-e-dos or a swing? Find out more?

Was it possible that this dangerous driving penalty was issued in error?

A solid 'star' shape is created. How many faces does it have?

This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.

These problems are designed to help Stage 3, 4 and 5 students to handle data and work with statistics.

Data is sent in chunks of two different sizes - a yellow chunk has 5 characters and a blue chunk has 9 characters. A data slot of size 31 cannot be exactly filled with a combination of yellow and. . . .

Use your skill and judgement to match the sets of random data.

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

If a sum invested gains 10% each year how long before it has doubled its value?

Jasmine buys three different types of plant. How many triffids did she buy?

Chris cycled faster than expected. Can you work out his average speed?

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

Dean runs down the mountain at 12 km per hour. How long does it take him to run down the mountain?

How much lighter will £5 worth of 5p's be with these new lighter coins?

Tony and Tina can't work out which of them owes what to the other. Can you?

How do decisions about scoring affect who wins a combined event such as the decathlon?

A decimal clock is started at midnight. What time would it show at 6 o'clock in the morning?

Use the clocks to investigate French decimal time in this problem. Can you see how this time system worked?

The A-level Decision Curriculum Mapping Pages

See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?

Find integer solutions to: $\sqrt{a+b\sqrt{x}} + \sqrt{c+d.\sqrt{x}}=1$

Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?

What does Pythagoras' Theorem tell you about these angles: 90°, (45+x)° and (45-x)° in a triangle?

A little mouse called Delia lives in a hole in the bottom of a tree.....How many days will it be before Delia has to take the same route again?

Given four of the angles in two triangles, can you find the smallest angle overall?

Four cards from a set numbered 1-36 are dealt. What is the probability that they are dealt in order?

A list of stemNRICH Living World problems with teacher support notes.

Can you find a polynomial function whose first derivative is equal to the function?

Formulate and investigate a simple mathematical model for the design of a table mat.

This article offers you practical ways to investigate aspects of your classroom culture.

This paper considers the key aspects of mathematics enrichment and how the content and design of trails (as well as the NRICH site itself) has been influenced by, and built upon, these philosophies.

These activities are particularly good for challenging high-attaining primary children.

Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience. In this article, Jennie suggests that we can support this process in three. . . .