Being curious

problem

Pebbles

Age

7 to 11

Challenge level

2 out of 3

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
problem

Sometimes We Lose Things

Age

7 to 11

Challenge level

3 out of 3

What would happen if we lost all the nines in our number system?
problem

Making Spirals

Age

7 to 11

Challenge level

3 out of 3

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.
problem

Triangle Transformation

Age

7 to 14

Challenge level

1 out of 3

Start with a triangle. Can you cut it up to make a rectangle?
problem

3 by 3 Mathdokus

Age

7 to 14

Challenge level

1 out of 3

Can you use the clues to complete these 3 by 3 Mathematical Sudokus?
problem

St Ives

Age

7 to 14

Challenge level

2 out of 3

How many were going to St Ives?
problem

6 by 6 Mathdokus

Age

7 to 16

Challenge level

1 out of 3

Can you use the clues to complete these 6 by 6 Mathematical Sudokus?
problem

Satisfying Statements

Age

11 to 14

Challenge level

1 out of 3

Can you find any two-digit numbers that satisfy all of these statements?
problem

Circumference Angles

Age

11 to 16

Challenge level

2 out of 3

Can you prove the angle properties described by some of the circle theorems?
problem

Electric Kettle

Age

14 to 16

Challenge level

1 out of 3

Explore the relationship between resistance and temperature