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Maths Adventures

Detective maths quest: fractions

A story-led junior maths adventure using evidence, charts and mystery patterns to split food, maps and treasure into equal parts.

Quick answer

Fractions are parts of a whole, and detective maths quests help you find equal shares by splitting things into fair portions using clues, charts, and patterns.

Learning outcome

By the end of this page, you will be able to split things into equal parts and understand how fractions show parts of a whole – just like a detective solving a mystery! Success signs:
  • You can split a pizza or cake into equal slices
  • You can use fraction words like half, quarter, third to describe parts
  • You can spot patterns in how things are shared
  • You can solve detective-style puzzles about sharing

Why this matters

Fractions are like detective clues that help you understand how things are shared fairly. When you play games, eat food, or solve puzzles, you use fractions without even realising it. You might split a sandwich with a friend, divide a map into parts, or share a treasure map. Fractions help you think clearly about equal parts, which is a skill you’ll use in school, in games, and in everyday life.

How it works

Fractions are made of two numbers:
  • The top number (numerator) shows how many parts you have
  • The bottom number (denominator) shows how many equal parts the whole is split into
To understand fractions, think of sharing something equally. If you have one pizza and split it into 4 equal pieces, each piece is one-quarter of the pizza. If you eat 1 piece, you have eaten 1 out of 4 pieces, so you ate 1/4 of the pizza.

Examples you can see

Let’s imagine you are a detective on a treasure hunt. You find a map with 12 clues, and you must split them equally among 3 friends. How many clues does each friend get?
  • Total clues = 12
  • Number of friends = 3
  • Each friend gets = 12 ÷ 3 = 4 clues
So, each friend gets 4 out of 12 clues, which is 4/12 of the clues. You can simplify this to 1/3, because 4 is one-third of 12. Here are more detective-style examples:
Whole Object Split Into Each Part Is Fraction
1 cake 2 equal slices 1 slice 1/2
1 pizza 4 equal pieces 1 piece 1/4
1 chocolate bar 6 equal pieces 1 piece 1/6
1 map 8 equal parts 1 part 1/8

Try it as a mini adventure

The Detective’s Treasure Hunt You are a detective solving a mystery! You find a treasure map and must split it into equal parts for your team. The map is 12 inches long. You split it into 4 equal parts. 1st time: The map is 12 inches long. 2nd time: You split it into 4 equal parts. 3rd time: Each part is 12 ÷ 4 = 3 inches. 4th time: Each part is 3/12 of the map, which simplifies to 1/4. Now, you must also split 18 coins equally among 3 friends. How many coins does each friend get? Answer: 18 ÷ 3 = 6 coins each. So, each friend gets 6 out of 18 coins, or 6/18, which simplifies to 1/3. You’ve solved the detective mystery using fractions!

Common mistakes

  • Mistake: Thinking that 1/4 is bigger than 1/2 because 4 is bigger than 2.
    Why it happens: Children often focus only on the number on top or bottom.
    Fix: Use visual models like circles or bars to show that 1/2 is actually more than 1/4.
  • Mistake: Not knowing that the bottom number must be the same for adding fractions.
    Why it happens: Fractions are new and confusing.
    Fix: Use fraction strips or shapes to show how to make the bottom numbers equal.
  • Mistake: Thinking that 1/3 and 1/6 are the same.
    Why it happens: The fractions look similar.
    Fix: Use real examples like pizza slices to show that 1/3 is bigger than 1/6.

Parent and carer guide

As a parent or carer, you can help by:
  • Using everyday objects like pizza, chocolate, or cakes to show how fractions work
  • Playing fraction games like “split the sandwich” or “divide the cookies”
  • Encouraging your child to draw or colour fraction shapes
  • Asking questions like, “If we split this cake into 6 pieces, how many pieces do you get?”
  • Not worrying if they make mistakes – they are part of learning!

Practice questions

  1. If a pizza is cut into 8 equal slices and you eat 2 slices, what fraction of the pizza did you eat?
  2. How many equal parts is 1/6 of a cake?
  3. If 12 children share 24 cookies, how many cookies does each child get?
  4. What fraction is 3 out of 12?
  5. How many equal parts is 1/3 of a 15-inch ruler?
Answers:
  1. 2/8 or 1/4
  2. 6 parts
  3. 2 cookies
  4. 3/12 or 1/4
  5. 5 parts

FAQ

What is a fraction?
A fraction is a way to show a part of a whole. For example, if you eat 1 slice of a pizza cut into 4 slices, you have eaten 1/4 of the pizza.

Why do we need fractions?
Fractions help us share things fairly and understand parts of a whole. They are used in cooking, maps, time, and many other real-life situations.

How do I teach fractions to a young child?
Use real objects like food, blocks, or drawings. Show how to split things into equal parts and explain that each part is a fraction of the whole.

What are some real-life examples of fractions?
Fractions are used when you split a cake, read a map, or divide a group of toys. For example, if you have 10 sweets and 2 friends, each friend gets 5 sweets, which is 5/10 or 1/2 of the sweets.

How can I help my child practice fractions at home?
Play games like “fraction pizza” where you cut a paper pizza into halves, quarters, or thirds. Ask your child to tell you what fraction of the pizza is eaten or left.