Creating and manipulating expressions and formulae

problem

Alternating Sum

Age

14 to 16

Challenge level

2 out of 3

Given that the number 2008 is the correct answer to a sum, can you find n?
problem

Algebraic Mean

Age

14 to 16

Challenge level

2 out of 3

The mean of three numbers x, y and z is x. What is the mean of y and z?
problem

Interactive Number Patterns

Age

14 to 16

Challenge level

2 out of 3

How good are you at finding the formula for a number pattern ?
problem

Three Fruits

Age

14 to 16

Challenge level

2 out of 3

Quince, quonce and quance are three types of fruit. Can you work out the order of heaviness of the fruits?
problem

Average Surroundings

Age

14 to 16

Challenge level

2 out of 3

Can you work out Ali's age based on the diagram?
problem

Divisible Expression

Age

14 to 16

Challenge level

2 out of 3

Can you show this algebraic expression is divisible by 4?
problem

How Do You React?

Age

14 to 16

Challenge level

2 out of 3

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
problem

Robert's Spreadsheet

Age

14 to 16

Challenge level

2 out of 3

Robert noticed some interesting patterns when he highlighted square numbers in a spreadsheet. Can you prove that the patterns will continue?
problem

Folding in Half

Age

14 to 16

Challenge level

2 out of 3

How does the perimeter change when we fold this isosceles triangle in half?
problem

Packing Boxes

Age

14 to 16

Challenge level

2 out of 3

Look at the times that Harry, Christine and Betty take to pack boxes when working in pairs, to find how fast Christine can pack boxes by herself.