Simultaneous equations

problem
Fruity totals

Age

7 to 16

Challenge level

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
problem
Multiplication arithmagons

Age

14 to 16

Challenge level

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
problem
Graphs of changing areas

Age

16 to 18

Challenge level

Use graphs to gain insights into an area and perimeter problem, or use your knowledge of area and perimeter to gain insights into the graphs...
problem
Which is bigger?

Age

14 to 16

Challenge level

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
problem
Which is cheaper?

Age

14 to 16

Challenge level

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?
problem
Packing boxes

Age

14 to 16

Challenge level

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.
problem
In sum-mary

Age

11 to 14

Challenge level

What does the sum of these three numbers tell us about their product?
problem
Battery modelling

Age

16 to 18

Challenge level

Find out how to model a battery mathematically
problem
Cobalt decay

Age

16 to 18

Challenge level

Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
problem
LCM Sudoku II

Age

11 to 18

Challenge level

You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.