---
title: "Multi-Step Problem Solving (age 8+)"
description: "Make sense of multi-step problems involving four operations, fractions, and area/volume by identifying sub-steps, choosing a strategy, and monitoring progress"
canonical: https://lightmysky.com/learn/mathematics/multi-step-problem-solving-age-8-mt_SmghasIvbT
source: https://lightmysky.com/learn/mathematics/multi-step-problem-solving-age-8-mt_SmghasIvbT.md
retrieved: 2026-09-02
---

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# Multi-Step Problem Solving (age 8+)

Make sense of multi-step problems involving four operations, fractions, and area/volume by identifying sub-steps, choosing a strategy, and monitoring progress

Subject: Mathematics · Area: Mathematical Thinking · Ages 8 to 9
Page: https://lightmysky.com/learn/mathematics/multi-step-problem-solving-age-8-mt_SmghasIvbT

## Ready when they can

- Break a two-step word problem into parts and explain a plan before calculating
- Choose between drawing a diagram or writing equations for a perimeter problem
- Check a fraction-of-quantity answer by estimating: 3/5 of 20 must be more than half of 20

## Lesson: Solving Big Problems in Steps

You already know how to break a problem into two steps. Now some problems get trickier: they might mix adding, subtracting, multiplying, dividing, fractions, and area all in one problem. The plan stays the same. Read the problem, figure out what it is really asking, then decide which step comes first.

Before you touch a calculator, make a quick plan. Decide what you need to find first, and what you will do with that answer next. Saying your plan out loud, like 'first I'll find the area, then I'll work out a fraction of it,' helps you stay on track.

**Example.** Sam has a rectangular patch 5 metres by 4 metres, and he wants flowers on 3/5 of it. First he finds the area: 5 x 4 = 20 square metres. He estimates before he goes on: 3/5 is more than half, so the answer should beat 10. Then 3/5 of 20 is 12, which does beat 10.

*(drawing: Sam's patch, split into 5 equal parts. 3 parts get flowers, which is more than half.)*

For a perimeter problem you get a choice. You can sketch the shape and label every side, or write an equation that adds the side lengths. Both do the same job, so pick the one that makes the steps easier to see. Then check your answer against your estimate.

**Recap.** Break a problem into steps, plan your order, estimate before you calculate, and check your answer makes sense.

## Practice

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

## Needs first

- [Fractions of amounts (harder)](https://lightmysky.com/learn/mathematics/fractions-of-amounts-harder-mt_3y7xKP9MjU)
- [Multi-Step Problem Solving](https://lightmysky.com/learn/mathematics/multi-step-problem-solving-mt_RKeheOL9uo)
- [Analysing Your Own Errors](https://lightmysky.com/learn/learning-to-learn/analysing-your-own-errors-mt_TDUpy57QVM)
- [Perimeters of polygons](https://lightmysky.com/learn/mathematics/perimeters-of-polygons-mt_WtcFrxGOgw)

## Opens up

- [Complex Multi-Step Problems](https://lightmysky.com/learn/mathematics/complex-multi-step-problems-mt_GpltXPoaoc)