Question 1: [3 marks]
Here is a distance-time graph for Charlie’s journey over the course of a day.
Match the following statements to the correct parts of the graph represented by letters above.
1: He stops for 1 hour.
2: He walks 3 miles forward in a time of 2 hours.
3: He leaves home at 09:00 and travels 6 miles from home.
4: He walks backwards at 14:00.
5: He stops for 2 hours.
6: He walks backwards and returns to the same point he just travelled to, in half of the time.
7: He walks at an average speed of 4 miles per hour away from home.
Answer type: Multiple answers type 1
ANSWER:
A: 3
B: 5
C: 7
D: 1
E: 4
F: 2
G: 6
Question 2:
Katherine and Julia are both competing in a long-distance race.
The distance they both travelled from home is displayed in the chart below.
Question 2(a): [1 mark]
Who covered the longest distance in their race?
Answer type: Multiple choice type 1
A: Katherine
B: Julia
C: They travelled the same distance
ANSWER: C: They travelled the same distance
Question 2(b): [1 mark]
What was Katherine’s highest speed over the course of the journey?
Answer type: Simple text answer
ANSWER: A: 6 mph
WORKING:
She moved from 6 miles from home to 12 miles from home, in 1 hour between 1pm and 2 pm.
Question 2(c): [1 mark]
How much time did Julia spend ahead of Katherine in the race?
Answer type: Multiple choice type 1
A: 2 hours 30 minutes
B: 2 hours
C: 1 hour 30 minutes
D: 1 hour
ANSWER: A: 2 hours 30 minutes
WORKING:
2 hours 30 minutes between 11am and 1:30pm.
Question 3:
On a morning bike ride, Jane records her distance from her usual start point in 20-minute intervals.
This can be seen on the graph below.
Question 3(a): [1 mark]
How far did she travel in the first 2 hours of her journey?
Answer type: Multiple choice type 1
A: 10 km
B: 14 km
C: 20 km
D: 32 km
ANSWER: D: 32 km
WORKING:
14+6+12 = 32 km
Question 3(b): [1 mark]
Jane travels back to the start at a constant speed of 30 km/h.
What is the correct completion of the graph?
Answer type: Multiple choice type 1
A: A
B: B
C: C
ANSWER: B: B
Question 4:
The diagram below shows a journey starting from home.
Question 4(a): [1 mark]
What was the highest speed achieved?
Answer type: Simple text answer
ANSWER: 60 mph
WORKING:
60 mph in for the first 10 minutes.
Question 4(b): [1 mark]
How many rest times were there?
Answer type: Simple text answer
ANSWER: 2
Question 4(c): [1 mark]
What was the furthest distance travelled without stopping?
Answer type: Simple text answer
ANSWER: B: 16 miles
Question 4(d): [1 mark]
What was the total distance travelled?
Answer type: Simple text answer
ANSWER: 40 miles
WORKING:
20 miles away from home and 20 miles back.
Question 5: [2 marks]
Choose the correct distance-time graph that represents the following journey.
- Raine starts 4 miles from home and jogs away from home at 6 mph for 20 minutes.
- She then runs away from home for 2 miles, taking 10 minutes.
- She rests for 10 minutes
- She then takes the bus to the shops, 8 miles further away from home at an average speed of 24 mph.
- After shopping for 10 minutes, she returns home at an average speed of 32 mph.
Answer type: Multiple choice type 1
A: A
B: B
C: C
D: D
ANSWER: D: D
Question 6:
Jenny and Owen start a 9-mile race.
- They both start the race at the same time
- Owen runs at 6 mph for 20 minutes, then rests for 10 minutes, then runs a further 6 miles in 40 minutes.
- He then runs to the finish, taking a total of 80 minutes for the entire race.
- Jenny runs at 12 mph for 30 minutes, but then rests for 20 minutes after that.
- She then runs the remaining distance in 20 minutes.
Question 6(a): [2 marks]
Choose the correct distance-time graph that represents their journeys.
Answer type: Multiple choice type 1
A: A
B: B
C: C
D: D
ANSWER: B: B
Question 6(b): [1 mark]
Do Jenny and Owen ever meet at any point during the race?
Answer type: Multiple choice type 1
A: Yes
B: No
ANSWER: B: No
WORKING:
No, since the two lines never meet.
Question 6(c): [1 mark]
When Jenny completes the race, approximately how far does Owen have left to run?
Answer type: Multiple choice type 1
A: 0.5 miles
B: 1 mile
C: 1.5 miles
D: 2 miles
ANSWER: B: 1 mile
Question 7:
Eight distance time graphs A-H are shown below.
Question 7(a): [1 mark]
How many of the graphs have periods of rest?
Answer type: Simple text answer
ANSWER: 4
WORKING:
A, D, E and F have rest periods.
Question 7(b): [1 mark]
How many of the graphs travel in only one direction?
Answer type: Simple text answer
ANSWER: 2
WORKING:
A and D travel in one direction.
Question 7(c): [1 mark]
How many graphs start and end in the same place?
Answer type: Simple text answer
ANSWER: 4
WORKING:
C, E, G and H all start and end in the same place.