--- title: "Multi-step word problems with remainders" description: "Solve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a letter for the unknown; check with estimatio" canonical: https://lightmysky.com/learn/mathematics/multi-step-word-problems-with-remainders-mt_p-nbe0w_lf source: https://lightmysky.com/learn/mathematics/multi-step-word-problems-with-remainders-mt_p-nbe0w_lf.md retrieved: 2026-09-12 --- > **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`. # Multi-step word problems with remainders Solve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a letter for the unknown; check with estimation Subject: Mathematics · Area: Multiplication & Division · Ages 9 to 10 Page: https://lightmysky.com/learn/mathematics/multi-step-word-problems-with-remainders-mt_p-nbe0w_lf ## Ready when they can - 52 children go on a trip in minibuses holding 9 each — how many minibuses are needed? (interpret remainder) - A shop sells packs of 6 pencils for £1.50 each — how much do 5 packs cost? - Represent a two-step problem with an equation using n for the unknown ## Lesson: Division with remainders Sometimes when you share things equally, there is a little bit left over. That leftover amount is called the remainder. Real problems often have more than one step, so read carefully and decide what to do with the remainder at the end. Sometimes the leftover needs one more group, sometimes only full groups count, and sometimes the leftover itself is the answer. *(drawing: 20 children in groups of 9: two full groups, and 2 children left over.)* **Example.** 52 children go on a trip in minibuses that hold 9 each. 52 divided by 9 is 5 remainder 7. Five minibuses fill up, but 7 children still need a seat, so a sixth minibus is needed. The answer isn't 5 or 5.7. It's 6, because you can't leave children behind. You can write a two-step problem as an equation with a letter standing for the unknown number. A shop sells packs of 6 pencils for £1.50 each. To find the cost of 5 packs, write c = 5 × 1.50, then work it out: c = £7.50. **Tip.** Before you calculate, estimate. Round the numbers and do the sum in your head. If your real answer is way off from your estimate, check your work. And always ask: does this remainder mean round up, round down, or is it the actual answer? **Recap.** Solve the steps in order, decide what the remainder means for the real situation, and check your answer against an estimate. ## Practice 18 questions on this page, each with its working shown. ## Needs first - [Multiply & Add Problems](https://lightmysky.com/learn/mathematics/multiply-and-add-problems-mt_AR-K72OIIO) - [Short division](https://lightmysky.com/learn/mathematics/short-division-mt_MCu_SNg_OW) - [Long multiplication](https://lightmysky.com/learn/mathematics/long-multiplication-mt_q9EaJc2FP8) ## Opens up - [Brackets in Expressions](https://lightmysky.com/learn/mathematics/brackets-in-expressions-mt_8jFSnXxqQD) - [Complex Multi-Step Problems](https://lightmysky.com/learn/mathematics/complex-multi-step-problems-mt_GpltXPoaoc) - [Multi-step problems: choosing operations](https://lightmysky.com/learn/mathematics/multi-step-problems-choosing-operations-mt_RXnyhCRYXA)