---
title: "Advanced Maths Vocabulary"
description: "Communicate with mathematical precision: use correct vocabulary for ratio, proportion, algebra, volume, coordinate geometry, and circle parts; specify units including cm³, m³, and miles/km; use notati"
canonical: https://lightmysky.com/learn/mathematics/advanced-maths-vocabulary-mt_3rTIyJDw7-
source: https://lightmysky.com/learn/mathematics/advanced-maths-vocabulary-mt_3rTIyJDw7-.md
retrieved: 2026-10-19
---

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# Advanced Maths Vocabulary

Communicate with mathematical precision: use correct vocabulary for ratio, proportion, algebra, volume, coordinate geometry, and circle parts; specify units including cm³, m³, and miles/km; use notation for algebraic expressions and order of operations accurately

Subject: Mathematics · Area: Mathematical Thinking · Ages 10 to 11
Page: https://lightmysky.com/learn/mathematics/advanced-maths-vocabulary-mt_3rTIyJDw7-

## Ready when they can

- Use 'radius', 'diameter', and 'circumference' correctly when describing a circle
- Distinguish between an expression, an equation, and a formula in mathematical writing
- Specify units correctly when presenting volume calculations (e.g. 60 cm³ not just 60)

## Lesson: Advanced Maths Vocabulary

This lesson names the parts of a circle so you can talk about them precisely, then stretches that same care further: naming the parts of algebra, and always writing the right unit for volume.

*(drawing: The radius reaches from the center to the edge. The diameter goes all the way across, through the center. The circumference is the distance around the outside.)*

**Example.** 3x + 5 is an expression. It has no equals sign. 3x + 5 = 20 is an equation. It is true for one value of x. V = l × w × h is a formula. It is a rule that always works, whatever the lengths are.

**Example.** Layla measures in centimetres and works out a box's volume: 4 cm × 3 cm × 2 cm = 24. She writes 24 cm³, not just 24. The little 3 shows it is a cubic measurement, made from three lengths multiplied together.

**Tip.** Whenever you multiply lengths in centimetres, your answer needs cm² for area or cm³ for volume. The number alone does not tell anyone what you measured.

**Recap.** Use radius, diameter, and circumference precisely, know an expression from an equation from a formula, and always write cm³ or m³ with a volume.

## Practice

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

## Needs first

- [Choosing Formal Vocabulary](https://lightmysky.com/learn/english/choosing-formal-vocabulary-mt_h3vmvQW5Wa)
- [Writing Algebraic Equations](https://lightmysky.com/learn/mathematics/writing-algebraic-equations-mt_i9rJbuFO3p)
- [Precise Maths Vocabulary](https://lightmysky.com/learn/mathematics/precise-maths-vocabulary-mt_xfwv0M83mJ)
- [Parts of a circle](https://lightmysky.com/learn/mathematics/parts-of-a-circle-mt_xq3YHZ2zeR)

## Opens up

- [Proportional Reasoning Vocabulary](https://lightmysky.com/learn/mathematics/proportional-reasoning-vocabulary-mt_ATYLKt0je-)
- [Expressions & Equations Vocabulary](https://lightmysky.com/learn/mathematics/expressions-and-equations-vocabulary-mt_g_fkAqmz72)