Ratio & Proportion worksheet for Grade 5 Maths, focusing on calculating ratios based on the number of marbles each child has.

Let's solve each question step by step using the given information.

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Given Information:

- Daniel: 18 marbles
- John: 24 marbles
- Ben: 15 marbles
- Nicolas: 22 marbles
- James: 3 times more than Ben → So, James = 3 × 15 = 45 marbles

*(Note: “3 times more than” usually means 3 × the original amount. So if Ben has 15, James has 3 × 15 = 45.)*

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## Question 1: What is the ratio of marbles that Daniel has compared to John?

Daniel : John = 18 : 24

We simplify this ratio by dividing both numbers by their Greatest Common Divisor (GCD), which is 6.

→ 18 ÷ 6 = 3
→ 24 ÷ 6 = 4

✔ Answer: 3 : 4

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## Question 2: What is the ratio of marbles that Daniel has compared to Ben?

Daniel : Ben = 18 : 15

GCD of 18 and 15 is 3.

→ 18 ÷ 3 = 6
→ 15 ÷ 3 = 5

✔ Answer: 6 : 5

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## Question 3: What is the ratio of marbles that Daniel has compared to James?

Daniel : James = 18 : 45

GCD of 18 and 45 is 9.

→ 18 ÷ 9 = 2
→ 45 ÷ 9 = 5

✔ Answer: 2 : 5

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## Question 4: What is the ratio of marbles that Daniel has compared to John and Ben put together?

First, find total marbles for John and Ben:

John + Ben = 24 + 15 = 39

Now, Daniel : (John + Ben) = 18 : 39

GCD of 18 and 39 is 3.

→ 18 ÷ 3 = 6
→ 39 ÷ 3 = 13

✔ Answer: 6 : 13

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## ✔ Final Answers:

1. 3 : 4
2. 6 : 5
3. 2 : 5
4. 6 : 13

These are all simplified ratios as required for Grade 5 level.