GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Explained

The video tutorial explains how to identify a trapezium and calculate its side lengths using given information. It demonstrates forming and solving a linear equation to find the value of X, which represents the length of one side. The tutorial also discusses mark allocation for the problem and highlights different solving strategies, emphasizing the efficiency of algebra over trial and improvement.

What is the relationship between the lengths of AB and AD in the trapezium?

• AB is four times the length of AD

• AB is the same length as AD

• AB is twice the length of AD

• AB is half the length of AD

If DC is 4 cm longer than AB, and AB is 2X, what is the expression for DC?

• DC = 4X + 4

• DC = X + 4

• DC = 2X + 4

• DC = 2X - 4

What is the equation formed to calculate the perimeter of the trapezium?

• 2X + X + 2X + 4 + X = 38

• X + X + X + 4 = 38

• X + X + 2X + 4 = 38

• 2X + 2X + 4 = 38

How many marks are awarded for forming the correct equation in the problem?

• One mark

• Four marks

• Two marks

• Three marks

Why is using algebra preferred over trial and improvement in this problem?

• It is more time-consuming

• It is less accurate

• It provides a quicker and more efficient solution

• It is not allowed in exams