Equations and Formulae: Age 14-16


This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.

Pick's Theorem

Age 14 to 16
Challenge Level

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

Age 14 to 16
Challenge Level

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

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?

Arithmagons

Age 11 to 16
Challenge Level

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

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?

How Old Am I?

Age 14 to 16
Challenge Level

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?

Matchless

Age 14 to 16
Challenge Level

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 ?

Fair Shares?

Age 14 to 16
Challenge Level

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?

CD Heaven

Age 14 to 16
Challenge Level

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?

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?

Terminology

Age 14 to 16
Challenge Level

Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?

Training Schedule

Age 14 to 16
Challenge Level

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?

System Speak

Age 16 to 18
Challenge Level

Five equations... five unknowns... can you solve the system?

Mega Quadratic Equationslive

Age 16 to 18
Challenge Level

What do you get when you raise a quadratic to the power of a quadratic?

Iff

Age 14 to 18
Challenge Level

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

Equations and Formulae - Short Problems

Age 11 to 16

A collection of short problems on equations and formulae.



 
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.