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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Equations and Formulae: Age 14-16

### Pick's Theorem

### Warmsnug Double Glazing

### Which Is Cheaper?

### Arithmagons

### Multiplication Arithmagons

### How Old Am I?

### Matchless

### Fair Shares?

### CD Heaven

### Which Is Bigger?

### Terminology

### Training Schedule

### Mega Quadratic Equations

### Iff

### Equations and Formulae - Short Problems

### Symmetricality

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

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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.

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?

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?

Age 11 to 16

Challenge Level

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

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?

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?

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 ?

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?

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?

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

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

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?

Age 14 to 18

Challenge Level

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

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?

Age 11 to 16

A collection of short problems on equations and formulae.

Age 14 to 18

Challenge Level

Five equations and five unknowns. Is there an easy way to find the unknown values?

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