--- title: "Complex Multi-Step Problems" description: "Make sense of complex multi-step problems involving large numbers, fractions, decimals, and percentages by analysing what is known and unknown, planning multi-step strategies, and evaluating reasonabl" canonical: https://lightmysky.com/learn/mathematics/complex-multi-step-problems-mt_GpltXPoaoc source: https://lightmysky.com/learn/mathematics/complex-multi-step-problems-mt_GpltXPoaoc.md retrieved: 2026-10-19 --- > **Agent view.** This is the Markdown twin of the page, for tools and assistants. > When to use this site, and the call that answers each job: https://lightmysky.com/agent-instructions.md > API description (OpenAPI 3.1): https://lightmysky.com/openapi.json · Authentication: https://lightmysky.com/auth.md > Pricing: https://lightmysky.com/pricing.md · Catalog: https://lightmysky.com/llms.txt · Full catalog: https://lightmysky.com/llms-full.txt > Every machine-readable file on this domain: https://lightmysky.com/.well-known/ai-catalog.json > Ask for Markdown with `Accept: text/markdown`, a `.md` address, or `?mode=agent`. # Complex Multi-Step Problems Make sense of complex multi-step problems involving large numbers, fractions, decimals, and percentages by analysing what is known and unknown, planning multi-step strategies, and evaluating reasonableness through estimation and inverse operations Subject: Mathematics · Area: Mathematical Thinking · Ages 9 to 10 Page: https://lightmysky.com/learn/mathematics/complex-multi-step-problems-mt_GpltXPoaoc ## Ready when they can - Break a three-step problem involving unit conversion and multiplication into sub-problems and solve systematically - Estimate 4,832 × 7 as roughly 5,000 × 7 = 35,000 to check a calculated answer of 33,824 - Identify that a percentage answer over 100% doesn't make sense in context ## Lesson: Big Problems, One Step at a Time Some maths problems pack in a lot at once: big numbers, fractions, decimals, and percentages, all in one question. You meet them when you plan something real, like how much ribbon a school fair needs. Slow down. First, find what you already know. Then work out what the question wants you to find. Once you know that, split the problem into smaller steps you can solve one at a time. **Example.** A shop orders 8 boxes of ribbon. Each box holds 12 rolls, and each roll is 250 cm long. First: 8 × 12 = 96 rolls. Next: 96 × 250 = 24,000 cm. Last: 24,000 ÷ 100 = 240 m of ribbon in total. **Example.** Before you trust a big calculation, round the numbers first. To check 3,914 × 6, round 3,914 to 4,000. Then 4,000 × 6 = 24,000. The calculated answer, 23,484, is close to that estimate, so it looks right. When a percentage describes part of a whole, it should land between 0% and 100%. If your answer comes out as 140% or 250% for a part of a whole, stop. Somewhere in your working, a step went wrong. **Recap.** Find what you know, break the problem into steps, then check your answer with an estimate or a quick sense check. ## Practice 18 questions on this page, each with its working shown. ## Needs first - [Percentage and decimal equivalents](https://lightmysky.com/learn/mathematics/percentage-and-decimal-equivalents-mt_4ubP_RMg9o) - [Multi-step word problems with remainders](https://lightmysky.com/learn/mathematics/multi-step-word-problems-with-remainders-mt_p-nbe0w_lf) - [Choosing a strategy](https://lightmysky.com/learn/learning-to-learn/choosing-a-strategy-mt_q7zxOloj_L) - [Multi-Step Problem Solving (age 8+)](https://lightmysky.com/learn/mathematics/multi-step-problem-solving-age-8-mt_SmghasIvbT) ## Opens up - [Advanced Multi-Step Problems](https://lightmysky.com/learn/mathematics/advanced-multi-step-problems-mt_FieL-vVTI_)