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vocabulary

Maths vocabulary for age 11

Key words and phrases children around age 11 need to hear, use and understand.

Quick answer

By the end of this page, you'll know the most important maths words you need to understand and use when doing maths problems, solving puzzles, and talking about numbers and shapes.

Learning outcome

By the end of this page, you will be able to use key maths vocabulary confidently when solving problems, understanding instructions, and explaining your thinking to others. Success signs:
  • You can explain what "product", "quotient", "perimeter", and "area" mean
  • You can use maths words correctly when talking about shapes and numbers
  • You can understand and use words like "factor", "multiple", "decimal", and "percentage"
  • You can match maths words to the right symbols or operations

Why this matters

Maths vocabulary is like having a toolbox full of words that help you understand what to do when you see a problem. When you know the words, you can read a question and understand what it's asking. When you can explain your thinking using the right words, you'll do better in class and feel more confident with maths. Whether you're solving a word problem, playing a maths game, or helping your parent with a recipe, knowing the right words helps you understand what's happening and how to solve it. The more words you know, the easier it is to think like a mathematician.

How it works

Maths words can be tricky because they often mean something different from everyday words. For example, "product" means the answer to a multiplication problem, not a product you buy in a shop. We'll look at these important words one by one and show you how to use them in real situations. We'll start with basic words and then build up to more complex ideas. You'll learn how to spot these words in problems and how to use them to solve things. Each word will have a simple example and a real-life situation so you can see how it works.

Examples you can see

Let's look at some of the most important maths words for age 11 and how they're used: Product – This is the answer when you multiply two numbers. For example, 6 × 7 = 42. The product is 42. Quotient – This is the answer when you divide two numbers. For example, 24 ÷ 6 = 4. The quotient is 4. Perimeter – This is the distance around the outside of a shape. If you walk around the edge of a rectangle, you're measuring the perimeter. Area – This is how much space a shape takes up. If you cover a rectangle with square tiles, the number of tiles shows the area. Factor – A factor is a number that divides exactly into another number. For example, 3 is a factor of 12 because 12 ÷ 3 = 4. Multiple – A multiple is what you get when you multiply a number by another number. For example, 12 is a multiple of 3 because 3 × 4 = 12. Decimal – This is a number that has a decimal point. For example, 3.5 is a decimal number. Percentage – This is a way of showing a part out of 100. For example, 50% means 50 out of 100, or half. Let's see how these words work in a real situation.

Try it as a mini adventure

Imagine you're going on a treasure hunt in your garden. You have to find clues that tell you how to move around the garden. Each clue has a maths word in it! Clue 1: "Walk 10 steps forward and then turn left. The area of the garden where you are now is 50 square metres." Clue 2: "The perimeter of the flower bed is 12 metres. Count the number of sides and multiply by 3 to get the product." Clue 3: "You need to find 4 factors of 20 to get the next clue. One of them is 4." Clue 4: "The answer to the division problem is 15. The quotient is 15. What was the problem?" Can you solve these clues? Try to think about what each maths word means and how it helps you find the treasure!

Common mistakes

  • Mistake: Thinking that "product" means something you buy in a shop. Why it happens: The word "product" sounds like "produce" or "goods". Fix: Remember that "product" in maths is always the answer to a multiplication problem.
  • Mistake: Confusing "perimeter" and "area". Why it happens: Both are about shapes, so they sound similar. Fix: Remember "perimeter" is the distance around the edge, and "area" is how much space is inside.
  • Mistake: Saying "factor" and "multiple" are the same thing. Why it happens: Both are related to multiplication. Fix: A factor goes into a number. A multiple is what you get when you multiply.
  • Mistake: Not understanding that "percentage" means "out of 100". Why it happens: The word "cent" sounds like "century" or "cents". Fix: Remember that "cent" means 100, so 50% means 50 out of 100.

Parent and carer guide

Parents and carers can help by using maths words every day in normal conversations. For example, when cooking, say "We need to divide the pizza into 4 equal parts, so each person gets one quarter." When shopping, say "The price is 25% off today." Ask your child to explain what a word means in their own words. For example, "What does 'area' mean?" or "Can you show me how to find a factor of 12?" Try to use the words in different situations so your child sees how they're used in real life. If your child is struggling, don't worry – it's normal to mix up words at first. Keep practicing and playing with the words, and they'll become second nature.

Practice questions

  1. What is the product of 7 and 8?
  2. What is the quotient when 45 is divided by 9?
  3. What is the area of a rectangle that is 5 metres long and 3 metres wide?
  4. What is the perimeter of a square with sides of 6 metres?
  5. What are the factors of 12?
  6. What is 25% of 80?
  7. What is the multiple of 6 that comes after 18?
  8. What is the decimal equivalent of 3/4?
Answers:
  1. 56
  2. 5
  3. 15 square metres
  4. 24 metres
  5. 1, 2, 3, 4, 6, 12
  6. 20
  7. 24
  8. 0.75

FAQ

What does "product" mean in maths?

The product is the answer you get when you multiply two or more numbers together. For example, in 5 × 6 = 30, the product is 30.

What is the difference between "perimeter" and "area"?

The perimeter is the distance around the outside of a shape. The area is the amount of space inside the shape. For example, a rectangle with sides of 4 and 6 has a perimeter of 20 and an area of 24.

What is a "factor" in maths?

A factor is a number that divides exactly into another number. For example, 3 is a factor of 12 because 12 ÷ 3 = 4.

How do you find the "quotient" in a division problem?

The quotient is the answer to a division problem. For example, in 15 ÷ 3 = 5, the quotient is 5.

Why is it important to learn maths vocabulary?

Knowing maths vocabulary helps you understand what a problem is asking, solve it correctly, and explain your thinking to others. It makes you more confident and better at maths.