Ratio - Difference Known WORKSHEET

Suitable for Year groups: Year 8, Year 9
GCSE Tier: Foundation
Targeting grades: 1-3
Prerequisite knowledge: Division facts. Dividing an amount into a given ratio.
Learning Objective: Divide a given quantity into two parts in a given ratio.

Ratio - Difference Known WORKSHEET DESCRIPTION

This worksheet provides a structured approach to solving ratio problems where the difference between quantities is known.

In Section A learners will compare two questions: one where the ratio is given and a total, in the other a ratio is given and the difference between the quantities is known. Learners will consider how the two different problems can be solved.

In Section B, pupils will answer a set of 8 minimally different questions. The problems require students to calculate not just one missing quantity but also the total number of individuals based on a given ratio.

Section C takes the application further by introducing more complex scenarios, including medal counts in the Olympics and inheritance divisions, requiring students to work with multi-part ratios and differences.

This worksheet is an excellent resource for reinforcing ratio knowledge, ensuring students develop confidence and accuracy in working with ratios.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Frequently Asked Questions

Divide a given quantity into two parts in a given ratio.