This activity allows students to explore ways to be creative by designing and making a pieces of art with polar graphs.

Problems such as those in this activity help develop what students already know in preparation for writing equations and learning ways to solve for variables.

Is there a temperature at which Celsius and Fahrenheit readings are the same?

Think of a number and follow my instructions. Tell me your answer, and I’ll tell you what you started with! Can you explain how I know?

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

Jane accidentally multiplied by 54 instead of 45, and her answer was 198 too big. What number did she multiply 54 by?

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

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?

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

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?

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?

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