Let’s go through each question one by one, using the graph to find the answers.
---
1) How far had Frazer travelled after 15 minutes?
Look at the x-axis (time) and find 15 minutes. Go up to the line on the graph, then look across to the y-axis (distance). At 15 minutes, the point is at
3 miles.
✔ Answer:
3 miles
---
2) How long did it take Frazer to travel 20 miles?
Find 20 miles on the y-axis. Follow that line across to where it meets the graph line. Then drop down to the x-axis — it hits at
120 minutes.
✔ Answer:
120 minutes
---
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’re looking for a flat (horizontal) part of the line. That happens between
75 minutes and 90 minutes. The difference is 15 minutes — perfect!
✔ Answer:
Between 75 and 90 minutes
---
4) How far had Frazer travelled after an hour?
An hour = 60 minutes. Find 60 on the x-axis, go up to the line, then read the distance on the y-axis. It’s at
12 miles.
✔ Answer:
12 miles
---
5) How far did Frazer travel between 30 minutes and 45 minutes?
At 30 minutes → distance = 7 miles
At 45 minutes → distance = 10 miles
So, he traveled: 10 - 7 =
3 miles
✔ Answer:
3 miles
---
6) Answer true, false or can’t tell:
We’ll check each statement against the graph.
a) Frazer travelled 6 miles in the first half hour of his ride.
Half hour = 30 minutes. At 30 min, distance = 7 miles. So he traveled 7 miles, not 6.
→
False
b) Frazer cycled further in the first hour of his ride than the second hour.
First hour (0–60 min): from 0 to 12 miles →
12 miles
Second hour (60–120 min): from 12 to 20 miles →
8 miles
12 > 8 → True
→
True
c) Frazer enjoyed the second half of his ride more than the first.
The graph shows distance and time — nothing about how much he *enjoyed* it. We can’t tell feelings from numbers.
→
Can’t tell
d) Frazer travelled furthest in the 15-30 minute part of his ride.
Check distances covered in each 15-min chunk:
- 0–15 min: 0 to 3 →
3 miles
- 15–30 min: 3 to 7 →
4 miles
- 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: 14 to 14 →
0 miles (rest!)
- 90–105 min: 14 to 17 →
3 miles
- 105–120 min: 17 to 20 →
3 miles
The most he traveled in any 15-min block was
4 miles (between 15–30 min).
→
True
---
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
Parent Tip: Review the logic above to help your child master the concept of is it linear graph worksheet.
