OML Search

Trial and Improvement Method




This lesson can be used for revision for the higher Maths GCSE. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations.

How to use the trial and improvement method
Example 1: The equation
x3 + 5x = 67
has a solution between 3 and 4.
Use a trial and improvement method to find this solution.
Give your answer correct to one decimal place.

Example 2: The equation x3 - 5x = 60 has a solution between 4 and 5.
Find this solution and give your answer correct to 1 decimal place.
You must show all your working.

Example 3: The equation
x3 - 6x = 72
has a solution between 4 and 5
Use a trial and improvement method to find this solution.
Give your answer correct to one decimal place.

Example 4: The diagram show a cube and a cuboid.
The volume of the cube is 100 cm3 more that the volume of the cuboid.
(a) Show that x3 - 10x = 100
(b) Use a trail and improvement method to find the value of x.
Give your answer correct to one decimal place.
Go to next lesson



Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.