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Maths skills for age 11

A clear guide to the main maths ideas children often meet around age 11, including secondary transition, percentages, ratio beginnings, coordinates.

Quick answer

By the end of this page, you’ll understand the main maths skills children typically learn around age 11, including percentages, ratio, coordinates, and how to prepare for secondary school maths.

Learning outcome

By the end of this page, you will be able to:
  • Understand and use percentages in everyday life
  • Begin to work with simple ratios and scale
  • Plot and read coordinates on a grid
  • Feel more confident about moving into secondary school maths

Why this matters

At age 11, you’re building on everything you’ve learned so far. These new skills help you solve more complex problems, like sharing money fairly, understanding how maps work, or working out how much of a recipe you need. They also prepare you for the maths you’ll meet in secondary school, where things get a little trickier but more exciting!

How it works

Let’s look at each of these maths skills one by one:
  1. Percentages are parts of 100. For example, 50% means half, and 25% means a quarter.
  2. Ratios help us compare two or more things. For example, if you have 3 red sweets and 5 blue sweets, the ratio is 3:5.
  3. Coordinates help us find places on a grid. You’ll learn how to read and plot points like (3, 4).

Examples you can see

Let’s explore each of these ideas with fun examples:

Percentages

Imagine you have 20 sweets and you want to give 25% to your friend.
  • 25% means 25 out of 100, so 25% of 20 = 5 sweets.
  • If you had 100 sweets, 25% would be 25 sweets.

Ratios

You and your sibling are sharing 12 cookies.
  • If the ratio is 2:1, that means you get 2 parts and your sibling gets 1 part.
  • There are 3 parts in total, so each part is 4 cookies.
  • You get 8 cookies, your sibling gets 4.

Coordinates

You're playing a treasure hunt game on a grid.
  • The treasure is at point (5, 3). That means 5 spaces to the right and 3 spaces up.
  • Start at the bottom left, and move right to 5, then up to 3.

Try it as a mini adventure

Adventure: The Mystery Map You are on a treasure hunt! The map shows a grid with coordinates. You start at (0, 0) and must find the treasure at (8, 5). But there’s a twist: you can only move in straight lines, and you must follow a ratio to get the right path.
  • First, move 3 steps right, then 1 step up. (3:1 ratio)
  • Then, move 2 steps right, then 2 steps up. (2:2 ratio)
  • Finally, move 3 steps right, then 2 steps up. (3:2 ratio)
Can you find the treasure? Plot your steps on a grid and see if you reach (8, 5)!

Common mistakes

  • Mistake: Thinking 50% = 50. Why: It’s easy to forget that percentages are out of 100. Fix: Remember, 50% means 50 out of 100, so it’s the same as 0.5 or half.
  • Mistake: Mixing up coordinates. Why: It’s easy to get confused between (3, 4) and (4, 3). Fix: Always remember, the first number is right, the second is up.
  • Mistake: Not simplifying ratios. Why: 6:9 might seem right, but it can be simplified. Fix: Divide both numbers by their highest common factor (3 in this case), so 6:9 becomes 2:3.

Parent and carer guide

Helping your child at age 11 is about encouraging them to think, not just do. Here’s how:
  • Ask questions like, “How did you work that out?” or “Can you show me another way?”
  • Use everyday examples like sharing a pizza or planning a party to talk about percentages and ratios.
  • Play games that involve grids, like battleships or treasure hunts, to practice coordinates.
  • Don’t panic if they get something wrong. Mistakes help learning!
  • Stay positive and remind them that maths is all around them.

Practice questions

  1. What is 25% of 80?
  2. If the ratio of red to blue marbles is 3:5 and there are 24 marbles in total, how many red marbles are there?
  3. Plot the point (4, 7) on a grid.
  4. What is 60% of 50?
  5. Write the ratio of 15 boys to 25 girls in its simplest form.
Answers:
  1. 20
  2. 9
  3. Plot point at 4 right and 7 up
  4. 30
  5. 3:5

FAQ

What is the best way to learn percentages?

Start with simple ones like 50%, 25%, and 10%. Use real-life examples like discounts in a shop or sharing food.

How do I know if a ratio is in its simplest form?

Divide both numbers by the same number until you can’t go any further. For example, 6:9 becomes 2:3 when divided by 3.

Why do I need to learn coordinates?

Coordinates help you find your way around maps, play games, and are used in science, geography, and technology. They’re a useful life skill!

How can I help my child prepare for secondary school maths?

Encourage them to ask questions, practice mental maths, and look for maths in everyday life. Reading and talking about maths helps build confidence.

What if my child finds ratios hard?

Use physical objects like counters or sweets. Start with simple ratios like 1:2, and build up. Visual aids and games make it easier!