---
title: "Real-World Maths Modelling"
description: "Model real-world problems involving scaling, unit conversion, area/perimeter, and percentage by selecting appropriate mathematical representations and interpreting results in context"
canonical: https://lightmysky.com/learn/mathematics/real-world-maths-modelling-mt_8xVHooT4aI
source: https://lightmysky.com/learn/mathematics/real-world-maths-modelling-mt_8xVHooT4aI.md
retrieved: 2026-10-19
---

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# Real-World Maths Modelling

Model real-world problems involving scaling, unit conversion, area/perimeter, and percentage by selecting appropriate mathematical representations and interpreting results in context

Subject: Mathematics · Area: Mathematical Thinking · Ages 9 to 10
Page: https://lightmysky.com/learn/mathematics/real-world-maths-modelling-mt_8xVHooT4aI

## Ready when they can

- Model a recipe-scaling problem with multiplication and fractions, then interpret the answer in grams
- Represent a room-carpet problem by drawing a scale diagram and applying the area formula
- Use a percentage bar model to find a sale price and explain the answer in £

## Lesson: Turning real problems into maths

Real-life maths problems come in different shapes. You might scale a recipe up, measure a room for carpet, or work out a sale price. First pick the right way to solve it: multiplying, drawing a scale diagram, or using a bar model. Then check what your answer means in real life.

**Example.** A recipe for 4 people needs 200g of flour. You want to cook for 6 people. That is 1.5 times as many people, so multiply: 200 x 1.5 = 300g. The answer means you need 300g of flour, not 300 people.

*(drawing: A room is 3 metres by 4 metres. Draw it as a grid: 3 rows of 4 squares. Multiply the sides: 3 x 4 = 12 square metres of carpet.)*

*(drawing: A £40 jacket is 25% off. 25% of £40 is £10, so the sale price is £40 - £10 = £30.)*

**Tip.** Once you have an answer, ask if it makes sense in real life. Grams should be a sensible weight, square metres should fit a normal room, and a sale price should always be less than the full price.

**Recap.** Pick a representation that fits the problem, work out the maths carefully, then explain what the answer means in real units.

## Practice

16 questions on this page, each with its working shown.

## Needs first

- [Area and perimeter of rectangles](https://lightmysky.com/learn/mathematics/area-and-perimeter-of-rectangles-mt_eiB3-6pu6a)
- [Modelling with multiplication and fractions](https://lightmysky.com/learn/mathematics/modelling-with-multiplication-and-fractions-mt_K3R0yaHVcx)
- [Scaling by fractions and simple rates](https://lightmysky.com/learn/mathematics/scaling-by-fractions-and-simple-rates-mt_ZOJ6EbdPOb)

## Opens up

- [Real-World Mathematical Modelling](https://lightmysky.com/learn/mathematics/real-world-mathematical-modelling-mt_yqZiX6vS7D)