Explaining, convincing and proving

problem

Look Before You Leap

Age

16 to 18

Challenge level

Relate these algebraic expressions to geometrical diagrams.
problem

Magic W Wrap Up

Age

16 to 18

Challenge level

Prove that you cannot form a Magic W with a total of 12 or less or with a with a total of 18 or more.
problem

Trig Rules OK

Age

16 to 18

Challenge level

Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...
problem

Big and Small Numbers in Physics - Group Task

Age

16 to 18

Challenge level

Work in groups to try to create the best approximations to these physical quantities.
problem

NOTty Logic

Age

16 to 18

Challenge level

Have a go at being mathematically negative, by negating these statements.
problem

Integration Matcher

Age

16 to 18

Challenge level

Can you match the charts of these functions to the charts of their integrals?
problem

Prime Sequences

Age

16 to 18

Challenge level

This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself?
problem

Model Solutions

Age

16 to 18

Challenge level

How do these modelling assumption affect the solutions?
problem

Trig Identity

Age

16 to 18

Challenge level

In this short challenge, can you use angle properties in a circle to figure out some trig identities?
problem

Unit Interval

Age

16 to 18

Challenge level

Can you prove our inequality holds for all values of x and y between 0 and 1?