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Maths Adventures

Castle maths quest: fractions

A story-led junior maths adventure using towers, walls and dragon-proof designs to split food, maps and treasure into equal parts.

Quick answer

Fractions help us split things into equal parts, like sharing a pizza or dividing a treasure map into sections. In a castle adventure, you'll learn how to split food, walls, and treasure into equal pieces using fractions.

Learning outcome

By the end of this castle quest, you will be able to split objects and amounts into equal parts and understand how to show these parts as fractions, using simple examples like sharing dragon eggs or dividing castle towers. Success signs:
  • You can split 6 dragon eggs into 2 equal groups
  • You can show 1/2, 1/3, or 1/4 of a treasure map
  • You can share 12 cookies so each friend gets the same amount
  • You can draw equal parts to show fractions

Why this matters

Fractions are everywhere in your daily life! When you share a pizza with friends, split a chocolate bar, or divide a garden into sections, you're using fractions. In a castle, fractions help you share treasure fairly, build equal towers, and plan dragon-proof walls. Understanding fractions helps you be a better problem solver and makes you more confident with maths in real life.

How it works

Fractions are about splitting things into equal parts. The top number (numerator) shows how many parts you have, and the bottom number (denominator) shows how many equal parts the whole thing is split into. For example, if you split a pizza into 4 equal pieces and take 1 piece, you have 1/4 of the pizza. Steps:
  1. Start with a whole object or amount
  2. Decide how many equal parts you want
  3. Split the whole into those parts
  4. Count how many parts you have
  5. Write as a fraction: parts you have over total parts

Examples you can see

Let's imagine you're a brave knight in a castle. You have 8 dragon eggs to share equally with 2 friends.
  • First, you split 8 eggs into 3 equal groups (you, friend 1, friend 2)
  • Each group gets 2 eggs with 2 eggs left over
  • So you can't split them equally, but if you had 6 eggs, each would get 2 eggs
Here's a clearer example with 6 dragon eggs and 3 friends:
  • Split 6 eggs into 3 equal groups
  • Each friend gets 2 eggs
  • This means each friend gets 2/6 of the eggs
  • But since 2 and 6 can be simplified, each friend gets 1/3 of the eggs
Let's look at a treasure map:
  • You have a treasure map that is 12 cm wide
  • You want to split it into 4 equal parts
  • Each part is 3 cm wide
  • So each part is 1/4 of the map

Try it as a mini adventure

Castle Fraction Quest: The Dragon's Treasure You are a brave knight on a quest to find the dragon's treasure! But the treasure is hidden behind a puzzle. You must solve fraction problems to open the castle gates. Step 1: The first gate needs 3/4 of a dragon's egg to open. You have 12 eggs. How many eggs do you need? Step 2: The second gate needs 1/3 of a treasure chest. You have 15 coins in the chest. How many coins are in 1/3 of the chest? Step 3: The third gate needs 2/5 of a wall to be broken. You have a wall that is 20 bricks. How many bricks need to be broken? Step 4: The final treasure room needs 1/6 of a cake to unlock. You have 18 pieces of cake. How many pieces do you need? Step 5: You have 10 gold coins to share equally among 5 friends. How many coins does each friend get? Step 6: You have 12 pieces of map to split between 4 people. How many pieces does each person get?

Common mistakes

  • Mistake: Thinking that 1/2 and 1/3 are the same size Why it happens: Children often confuse the numbers without thinking about the parts Fix: Use drawings or objects to show that 1/2 means 1 part of 2 equal parts, while 1/3 means 1 part of 3 equal parts
  • Mistake: Counting the parts incorrectly when splitting Why it happens: Rushing or not checking if parts are equal Fix: Always check that each part is exactly the same size
  • Mistake: Forgetting that the denominator shows how many parts the whole is split into Why it happens: Confusing numerator and denominator Fix: Remember "denominator = denominator = down, how many parts"
  • Mistake: Thinking that 2/4 is different from 1/2 Why it happens: Not understanding that fractions can be simplified Fix: Show that 2/4 and 1/2 represent the same amount

Parent and carer guide

This adventure helps children understand fractions through fun castle stories. Here's how you can support your child:
  • Use real objects like pizza slices, fruit, or cookies to practice splitting into equal parts
  • Ask questions like "If we split this apple into 4 pieces, what fraction is each piece?"
  • Look for fractions in daily life: "We're eating 1/2 of the pizza"
  • Encourage drawing pictures to show fractions
  • Don't worry if your child makes mistakes - they're learning!
  • Use games and apps that involve splitting, sharing, or dividing
What to watch for:
  • Children might think fractions are just about the numbers, not the parts
  • They may not understand that equal parts must be the same size
  • Confusion between numerator and denominator
How to help:
  • Use manipulatives like fraction circles or bars
  • Practice with simple sharing activities
  • Draw fraction pictures together
  • Play fraction games that involve splitting

Practice questions

  1. If you have 12 cookies and want to share them equally among 4 friends, how many cookies does each friend get?
  2. You have 15 dragon eggs and want to split them into 3 equal groups. How many eggs are in each group?
  3. A treasure map is 18 cm wide. If you split it into 6 equal parts, how wide is each part?
  4. You have 20 bricks in a wall. If you break 1/4 of the wall, how many bricks do you break?
  5. You have 24 pieces of gold and want to split them into 8 equal groups. How many pieces are in each group?
Answers:
  1. 3 cookies each
  2. 5 eggs each
  3. 3 cm each
  4. 5 bricks
  5. 3 pieces each

FAQ

What is a fraction?

A fraction shows how many parts of something you have compared to how many equal parts the whole thing is split into.

How do you write a fraction?

A fraction is written with a top number (numerator) and a bottom number (denominator), like 1/2 or 3/4.

What does the top number in a fraction mean?

The top number (numerator) shows how many parts you have or are using.

What does the bottom number in a fraction mean?

The bottom number (denominator) shows how many equal parts the whole thing is split into.

Can you give me a real-life example of fractions?

Yes! When you eat 1/4 of a pizza, you eat one part out of four equal parts of the whole pizza.