Rule of Three Examples for KS2

20+ fun examples with step-by-step solutions (Ages 7-11)

Here are 20+ examples designed especially for Key Stage 2 students! Each example uses simple numbers and fun stories about things you know, like sweets, toys, and sports. We'll show you step-by-step how to solve each problem using the rule of three.

🛍️ Shopping Examples

🍬Example 1: Buying Sweets

Problem: If 2 packets of sweets cost 50p, how much do 5 packets cost?

Solution:
We know: 2 packets = 50p
We want: 5 packets = ?
Set up: 2 packets → 50p, 5 packets → ?
Calculate: (50 × 5) ÷ 2 = 250 ÷ 2 = 125p = £1.25

Answer: 5 packets cost £1.25

🍎Example 2: Buying Apples

Problem: If 3 apples cost 90p, how much do 7 apples cost?

Solution:
We know: 3 apples = 90p
We want: 7 apples = ?
Calculate: (90 × 7) ÷ 3 = 630 ÷ 3 = 210p = £2.10

Answer: 7 apples cost £2.10

📚Example 3: Buying Books

Problem: If 4 books cost £12, how much do 6 books cost?

Solution:
We know: 4 books = £12
We want: 6 books = ?
Calculate: (12 × 6) ÷ 4 = 72 ÷ 4 = £18

Answer: 6 books cost £18

✏️Example 4: Buying Pencils

Problem: If 5 pencils cost 75p, how much do 8 pencils cost?

Solution:
We know: 5 pencils = 75p
We want: 8 pencils = ?
Calculate: (75 × 8) ÷ 5 = 600 ÷ 5 = 120p = £1.20

Answer: 8 pencils cost £1.20

🍳 Cooking Examples

🍪Example 5: Making Cookies

Problem: If a recipe needs 3 cups of flour to make 12 cookies, how many cups of flour are needed for 20 cookies?

Solution:
We know: 3 cups → 12 cookies
We want: ? cups → 20 cookies
Calculate: (3 × 20) ÷ 12 = 60 ÷ 12 = 5 cups

Answer: 5 cups of flour are needed

🥤Example 6: Making Juice

Problem: If 2 glasses of juice need 6 oranges, how many oranges are needed for 8 glasses?

Solution:
We know: 2 glasses = 6 oranges
We want: 8 glasses = ? oranges
Calculate: (6 × 8) ÷ 2 = 48 ÷ 2 = 24 oranges

Answer: 24 oranges are needed

🍕Example 7: Making Pizza

Problem: If 4 pizzas need 2 cups of cheese, how many cups of cheese are needed for 10 pizzas?

Solution:
We know: 4 pizzas = 2 cups
We want: 10 pizzas = ? cups
Calculate: (2 × 10) ÷ 4 = 20 ÷ 4 = 5 cups

Answer: 5 cups of cheese are needed

⚽ Sports Examples

🏃Example 8: Running Race

Problem: If Tom runs 3 laps in 9 minutes, how long will it take him to run 7 laps?

Solution:
We know: 3 laps = 9 minutes
We want: 7 laps = ? minutes
Calculate: (9 × 7) ÷ 3 = 63 ÷ 3 = 21 minutes

Answer: 21 minutes

Example 9: Football Goals

Problem: If a team scores 4 goals in 2 matches, how many goals will they score in 5 matches?

Solution:
We know: 2 matches = 4 goals
We want: 5 matches = ? goals
Calculate: (4 × 5) ÷ 2 = 20 ÷ 2 = 10 goals

Answer: 10 goals

🏊Example 10: Swimming Laps

Problem: If Sarah swims 5 laps in 15 minutes, how long will it take her to swim 12 laps?

Solution:
We know: 5 laps = 15 minutes
We want: 12 laps = ? minutes
Calculate: (15 × 12) ÷ 5 = 180 ÷ 5 = 36 minutes

Answer: 36 minutes

🏫 School Examples

👥Example 11: Sharing Pencils

Problem: If 4 children share 16 pencils equally, how many pencils do 6 children get?

Solution:
We know: 4 children = 16 pencils
We want: 6 children = ? pencils
Calculate: (16 × 6) ÷ 4 = 96 ÷ 4 = 24 pencils

Answer: 24 pencils

📖Example 12: Reading Books

Problem: If Emma reads 3 books in 6 weeks, how many books will she read in 10 weeks?

Solution:
We know: 6 weeks = 3 books
We want: 10 weeks = ? books
Calculate: (3 × 10) ÷ 6 = 30 ÷ 6 = 5 books

Answer: 5 books

🎨Example 13: Art Supplies

Problem: If 5 children need 15 paintbrushes, how many paintbrushes do 8 children need?

Solution:
We know: 5 children = 15 paintbrushes
We want: 8 children = ? paintbrushes
Calculate: (15 × 8) ÷ 5 = 120 ÷ 5 = 24 paintbrushes

Answer: 24 paintbrushes

🧸 Toy Examples

🧸Example 14: Building Blocks

Problem: If 6 blocks make 2 towers, how many blocks are needed for 5 towers?

Solution:
We know: 2 towers = 6 blocks
We want: 5 towers = ? blocks
Calculate: (6 × 5) ÷ 2 = 30 ÷ 2 = 15 blocks

Answer: 15 blocks

🎮Example 15: Game Points

Problem: If 3 games give 9 points, how many points do 7 games give?

Solution:
We know: 3 games = 9 points
We want: 7 games = ? points
Calculate: (9 × 7) ÷ 3 = 63 ÷ 3 = 21 points

Answer: 21 points

🌟 More Fun Examples

🐕Example 16: Walking Dogs

Problem: If 2 dogs need 8 treats, how many treats do 5 dogs need?

Solution:
We know: 2 dogs = 8 treats
We want: 5 dogs = ? treats
Calculate: (8 × 5) ÷ 2 = 40 ÷ 2 = 20 treats

Answer: 20 treats

🌳Example 17: Planting Trees

Problem: If 4 children plant 12 trees, how many trees will 9 children plant?

Solution:
We know: 4 children = 12 trees
We want: 9 children = ? trees
Calculate: (12 × 9) ÷ 4 = 108 ÷ 4 = 27 trees

Answer: 27 trees

🎂Example 18: Birthday Party

Problem: If 3 children eat 9 slices of cake, how many slices will 8 children eat?

Solution:
We know: 3 children = 9 slices
We want: 8 children = ? slices
Calculate: (9 × 8) ÷ 3 = 72 ÷ 3 = 24 slices

Answer: 24 slices

🚗Example 19: Car Journey

Problem: If a car travels 60 miles in 2 hours, how far will it travel in 5 hours?

Solution:
We know: 2 hours = 60 miles
We want: 5 hours = ? miles
Calculate: (60 × 5) ÷ 2 = 300 ÷ 2 = 150 miles

Answer: 150 miles

🎁Example 20: Wrapping Presents

Problem: If 3 presents need 6 metres of wrapping paper, how much paper is needed for 10 presents?

Solution:
We know: 3 presents = 6 metres
We want: 10 presents = ? metres
Calculate: (6 × 10) ÷ 3 = 60 ÷ 3 = 20 metres

Answer: 20 metres

🌺Example 21: Flower Garden

Problem: If 4 flower pots have 16 flowers, how many flowers are in 7 pots?

Solution:
We know: 4 pots = 16 flowers
We want: 7 pots = ? flowers
Calculate: (16 × 7) ÷ 4 = 112 ÷ 4 = 28 flowers

Answer: 28 flowers

🎨Example 22: Colouring Pages

Problem: If 2 children colour 8 pages, how many pages will 6 children colour?

Solution:
We know: 2 children = 8 pages
We want: 6 children = ? pages
Calculate: (8 × 6) ÷ 2 = 48 ÷ 2 = 24 pages

Answer: 24 pages

Practice Tips for KS2 Students

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