Ratio & ProportionDeep Dive

Method 1: The Multiplier Method

Part of Direct Proportion — GCSE Mathematics

This deep dive covers Method 1: The Multiplier Method within Direct Proportion for GCSE Mathematics. Revise Direct Proportion in Ratio & Proportion for GCSE Mathematics with 15 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 3 of 8 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 8

Practice

15 questions

Recall

12 flashcards

Method 1: The Multiplier Method

Find how x has changed

What did you multiply x by to get the new x?

Apply the same multiplier to y

In direct proportion, y changes by the same factor

Keep building this topic

Read this section alongside the surrounding pages in Direct Proportion. That gives you the full topic sequence instead of a single isolated revision point.

Key Features of Direct Proportion Method 2: The Unitary Method What is Direct Proportion?Worked Example 1: Using the Formula

Practice Questions for Direct Proportion

Which of the following correctly reads the mathematical statement y ∝ x?

A. y is inversely proportional to x
B. y is directly proportional to x
C. y equals x
D. y is greater than x

1 markfoundation

Explain what it means for y to be directly proportional to x. Your answer should refer to the equation and the graph.

2 marksstandard

Quick Recall Flashcards

What does the symbol ∝ mean?

'is proportional to' y ∝ x means 'y is proportional to x' This is equivalent to writing y = kx for some constant k.

What does the graph of y = kx look like?

A straight line passing through the origin (0, 0). The gradient of the line equals k. If the line does NOT pass through (0,0), it is NOT direct proportion.

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Key Features of Direct Proportion

Method 2: The Unitary Method