Graph Worksheets | Learning to Work with Charts and Graphs - Free Printable

Let’s solve each question step by step using the Double Line Graph provided.

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📊 Understanding the Graph:

- X-axis: Year (2010 to 2016)
- Y-axis: Hundreds of Coins Collected (so a value of “5” = 500 coins)
- Red line: Henry
- Blue line: Chris

We’ll read the data points for each year:

| Year | Henry (Red) | Chris (Blue) |
|------|-------------|--------------|
| 2010 | 4 | 8 |
| 2011 | 8 | 6 |
| 2012 | 2 | 7 |
| 2013 | 1 | 1 |
| 2014 | 5 | 3 |
| 2015 | 6 | 4 |
| 2016 | 3 | 5 |

*(Remember: values are in “hundreds,” so multiply by 100 for actual coin count.)*

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## ✔ Question 1: How many coins were collected by both Henry & Chris in 2011?

- Henry in 2011: 8 → 800 coins
- Chris in 2011: 6 → 600 coins
- Total = 800 + 600 = 1,400 coins

> Answer: 1,400 coins

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## ✔ Question 2: What was the absolute difference in coins collected between Henry & Chris during the year 2015?

- Henry in 2015: 6 → 600 coins
- Chris in 2015: 4 → 400 coins
- Difference = |600 - 400| = 200 coins

> Answer: 200 coins

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## ✔ Question 3: During which year(s) did Henry collect more coins than Chris?

Compare each year:

- 2010: Henry=400, Chris=800 → Chris > Henry ✘
- 2011: Henry=800, Chris=600 → Henry > Chris ✔
- 2012: Henry=200, Chris=700 → Chris > Henry ✘
- 2013: Henry=100, Chris=100 → Equal ✘
- 2014: Henry=500, Chris=300 → Henry > Chris ✔
- 2015: Henry=600, Chris=400 → Henry > Chris ✔
- 2016: Henry=300, Chris=500 → Chris > Henry ✘

> Answer: 2011, 2014, and 2015

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## ✔ Question 4: In the years of 2010 and 2011 how many coins were collected between both kids?

We need total coins collected by both in 2010 AND 2011 combined.

- 2010: Henry=400 + Chris=800 = 1,200
- 2011: Henry=800 + Chris=600 = 1,400
- Total = 1,200 + 1,400 = 2,600 coins

> Answer: 2,600 coins

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## ✔ Question 5: How many months did Chris collect more coins than Henry?

⚠️ Important note: The graph shows annual data — coins collected per year, not per month.

There is no monthly data on the graph. The X-axis only has years (2010–2016). So we cannot determine how many *months* Chris collected more than Henry — that information is not available.

This question is likely a trick question or misworded. Since we only have yearly totals, we can’t break it down into months.

However, if we interpret this as “in how many years did Chris collect more than Henry?”, then:

From the table:

- 2010: Chris > Henry ✔
- 2012: Chris > Henry ✔
- 2016: Chris > Henry ✔

That’s 3 years.

But the question specifically says “months” — which is impossible to answer from this graph.

> Answer: Not enough information / Cannot be determined from the graph.

*(If forced to give a numerical answer based on years, it would be 3, but strictly speaking, the question asks for “months,” which is invalid here.)*

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## 🧾 Final Answers:

1) 1,400 coins
2) 200 coins
3) 2011, 2014, 2015
4) 2,600 coins
5) Cannot be determined (graph shows yearly, not monthly data)

✔ You’re all set! Let me know if you want a visual explanation too.