List

Equations and formulae - Stage 4

How old am I?
problem
Favourite

How old am I?

Age
14 to 16
Challenge level
filled star empty star empty star
In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
Symmetricality
problem

Symmetricality

Age
14 to 18
Challenge level
filled star empty star empty star
Five equations and five unknowns. Is there an easy way to find the unknown values?
Fair Shares?
problem
Favourite

Fair Shares?

Age
14 to 16
Challenge level
filled star filled star empty star
A mother wants to share a sum of money by giving each of her children in turn a lump sum plus a fraction of the remainder. How can she do this in order to share the money out equally?
Iff
problem
Favourite

Iff

Age
14 to 18
Challenge level
filled star filled star empty star
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
CD Heaven
problem
Favourite

CD Heaven

Age
14 to 16
Challenge level
filled star filled star empty star
All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?
Terminology
problem
Favourite

Terminology

Age
14 to 16
Challenge level
filled star filled star empty star
Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?
Pick's Theorem
problem
Favourite

Pick's Theorem

Age
14 to 16
Challenge level
filled star filled star empty star
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
Warmsnug Double Glazing
problem
Favourite

Warmsnug Double Glazing

Age
14 to 16
Challenge level
filled star empty star empty star
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
Matchless
problem
Favourite

Matchless

Age
14 to 16
Challenge level
filled star filled star empty star
There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?
Which is cheaper?
problem
Favourite

Which is cheaper?

Age
14 to 16
Challenge level
filled star empty star empty star
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?
Which is bigger?
problem
Favourite

Which is bigger?

Age
14 to 16
Challenge level
filled star filled star empty star
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Training schedule
problem
Favourite

Training schedule

Age
14 to 16
Challenge level
filled star filled star empty star
The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?
Mega Quadratic Equations
problem

Mega Quadratic Equations

Age
14 to 18
Challenge level
filled star empty star empty star
What do you get when you raise a quadratic to the power of a quadratic?
Multiplication arithmagons
problem
Favourite

Multiplication arithmagons

Age
14 to 16
Challenge level
filled star filled star empty star

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

Arithmagons
problem
Favourite

Arithmagons

Age
11 to 16
Challenge level
filled star empty star empty star

Can you find the values at the vertices when you know the values on the edges?