Line Graphs Worksheet 4th Grade - Free Printable

Let’s go through each question step by step using the graph.

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Question 1: How far had Frazer travelled after 15 minutes?

Look at the x-axis (time) — find “15” minutes.
Go straight up to the line on the graph, then look left to the y-axis (distance).
At 15 minutes, the distance is 3 miles.

✔ Answer: 3 miles

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Question 2: How long did it take Frazer to travel 20 miles?

Look at the y-axis — find “20” miles.
Go right to the line on the graph, then down to the x-axis.
That point lines up with 120 minutes.

✔ Answer: 120 minutes

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Question 3: Frazer stopped for a 15 minute rest during the ride. When did he do this?

A stop means the distance doesn’t change — so we look for a flat (horizontal) part of the line.
Between 75 and 90 minutes, the line is flat — that’s 15 minutes long.
So he rested from 75 to 90 minutes.

✔ Answer: Between 75 and 90 minutes

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Question 4: How far had Frazer travelled after an hour?

An hour = 60 minutes.
Find “60” on the x-axis → go up to the line → look left to y-axis.
It shows 12 miles.

✔ Answer: 12 miles

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Question 5: How far did Frazer travel between 30 minutes and 45 minutes?

At 30 minutes → distance = 7 miles
At 45 minutes → distance = 10 miles
Subtract: 10 - 7 = 3 miles

✔ Answer: 3 miles

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Question 6: True, false or can’t tell?

a) *Frazer travelled 6 miles in the first half hour of his ride.*
→ Half hour = 30 minutes. At 30 minutes, he was at 7 miles. So he traveled 7 miles, not 6.
✘ False

b) *Frazer cycled further in the first hour than the second hour.*
→ First hour (0–60 min): went from 0 to 12 miles → 12 miles
→ Second hour (60–120 min): went from 12 to 20 miles → 8 miles
12 > 8 → yes, he went further in the first hour.
✔ True

c) *Frazer enjoyed the second half of his ride more than the first.*
→ The graph only shows distance and time — no info about enjoyment! We can’t know how he felt.
🟡 Can’t tell

d) *Frazer travelled furthest in the 15-30 minute part of his ride.*
→ Let’s check distances per interval:

- 0–15 min: 0 to 3 → 3 miles
- 15–30 min: 3 to 7 → 4 miles ← highest so far
- 30–45 min: 7 to 10 → 3 miles
- 45–60 min: 10 to 12 → 2 miles
- 60–75 min: 12 to 14 → 2 miles
- 75–90 min: rest → 0 miles
- 90–105 min: 14 to 17 → 3 miles
- 105–120 min: 17 to 20 → 3 miles

Yes — 15–30 minutes = 4 miles, which is the most in any 15-minute stretch.
✔ True

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Final Answers:

1) 3 miles
2) 120 minutes
3) Between 75 and 90 minutes
4) 12 miles
5) 3 miles
6) a) False, b) True, c) Can’t tell, d) True

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Final Answer:
1) 3 miles
2) 120 minutes
3) Between 75 and 90 minutes
4) 12 miles
5) 3 miles
6) a) False, b) True, c) Can’t tell, d) True