GCSE Secondary Maths Age 13-17 - Algebra: Trial and Improvement - Explained

The video tutorial explains the trial and improvement method to solve an equation. It emphasizes the importance of not using a calculator for direct solutions, but instead using a systematic approach to find the solution between given values. The process involves setting up a table, performing initial trials, refining them, and finalizing the solution to one decimal place. The tutorial also discusses the allocation of marks based on the method used and the accuracy of the solution.

Why is it important to use the trial and improvement method instead of a calculator for this problem?

• It is faster than using a calculator.

• It is required to achieve full marks.

• It provides a more accurate answer.

• It is easier to understand.

What is the first step in setting up the trial and improvement method?

• Choosing a random value.

• Drawing a table with specific columns.

• Calculating the exact solution.

• Using a calculator to find the answer.

What initial value does the teacher choose for the trial?

• 5.5

• 5.0

• 6.0

• 4.5

What is the result of the trial when using the value 5.2?

• 126.290875

• 130.208

• 122.451

• 123.97726

Why does the teacher decide not to try the value 5.14?

• It is too close to 5.1.

• The answer must be to 1 decimal place.

• It is too far from the solution.

• It is not necessary for full marks.

What is the final answer to the problem, rounded to one decimal place?

• 5.15

• 5.1

• 5.2

• 5.12

How many marks are awarded for having at least one trial to two decimal places?

• Four marks

• One mark

• Three marks

• Two marks