---
title: "Mental multiplication and division (age 9+)"
description: "Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments"
canonical: https://lightmysky.com/learn/mathematics/mental-multiplication-and-division-age-9-mt_8A3pZNOp7Z
source: https://lightmysky.com/learn/mathematics/mental-multiplication-and-division-age-9-mt_8A3pZNOp7Z.md
retrieved: 2026-10-19
---

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# Mental multiplication and division (age 9+)

Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments

Subject: Mathematics · Area: Multiplication & Division · Ages 9 to 10
Page: https://lightmysky.com/learn/mathematics/mental-multiplication-and-division-age-9-mt_8A3pZNOp7Z

## Ready when they can

- Calculate 40 × 60 mentally by using 4 × 6 = 24 then appending zeros
- Derive 7 × 15 by calculating 7 × 10 + 7 × 5
- Calculate 360 ÷ 9 mentally using 36 ÷ 9 = 4

## Lesson: Big multiplications and divisions, done in your head

You already know your times tables and division facts. You can use those same facts to solve much bigger problems in your head, just by paying attention to place value.

*(drawing: 4 × 6 = 24. To find 40 × 60, use this same fact, then add both zeros back on: 2,400.)*

**Example.** To work out 7 × 15, split 15 into 10 and 5. Then 7 × 10 = 70 and 7 × 5 = 35. Add them: 70 + 35 = 105.

**Example.** To work out 360 ÷ 9, drop the zero and find 36 ÷ 9 = 4 first. Then put the zero back on your answer: 40.

**Tip.** Two tricks to remember: split a number into tens and ones and add the results, or drop a zero, use the smaller fact, then put the zero back on.

**Recap.** Break a big problem into a fact you already know, then adjust for the extra zero or the extra pieces.

## Practice

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

## Needs first

- [Mental multiplication and division](https://lightmysky.com/learn/mathematics/mental-multiplication-and-division-mt_pjfmCMMPjO)

## Opens up

- [Mental calculation strategies](https://lightmysky.com/learn/mathematics/mental-calculation-strategies-mt_vmW2cb5c7A)