Solve Problems Using the Unitary Method

In this worksheet, students will solve problems using the unitary method.

Key stage: KS 3

Year: Year 8 Maths worksheets

Curriculum topic: Ratio, Proportion and Rates of Change

Curriculum subtopic: Solve Problems Involving Direct and Inverse Proportion

Difficulty level:

---- OR ---- Preview Activity

Worksheet Overview

In this activity, we are using the unitary method to work out proportion problems.

You will need a calculator for this.

Recap

If a chocolate bar is 80p for 1, then we would expect to multiply 80p by the number of bars we want to buy.

If we want 3 bars then 3 x 80p = £2.40

We call this direct proportion - as one value rises so does the other!

Likewise in reverse, if we only have the price for a number of items we can divide by that number to find the price of one!

Example

A pack of 5 highlighters costs £3.50

What is the cost of one?

question mark

Method

We divide by 5 here!

3.50 ÷ 5 = £0.70 each.

We could then work out the price for any number of highlighters from there by multiplying by £0.70!

Let's try some of these!

---- OR ----

Preview activity

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started