Question 1
LEVEL 3
Asim leaves home for a walk at 11am. He travels at a constant speed of 4km/h for 2 hours before stopping to get something to eat. After stopping for 1 hour, he returns home at the same pace as before.
Select the correct distance time-graph for this journey from the list below:
A:
B:
C:
D:
CORRECT ANSWER: B
WORKED SOLUTION:
Asim leaves his home at 11:00, travelling for 2 hours until 13:00. He travelled at a speed of 4km/h, so we can figure out the distance by multiplying the speed and time.
\textrm{distance}=4\times2=8 km
He then stays in the same location for 1 hour until 14:00.
He then travels back home at the same pace. We know that this took journey will take 2 hours, taking us back to 0 at 16:00.
Question 2
LEVEL 3
A group of friends meet at one of their houses before going out to play. 15 minutes into their walk they decide to turn around and go to the park near their house. How many minutes did they spend at the park?
Select the correct answer from the list below:
A: 15
B: 20
C: 25
D: 30
CORRECT ANSWER: C: 25
WORKED SOLUTION:
Looking between 14:00 and 14:15 we can see that there are 3 big boxes, so each box must be worth 15\div3=5 minutes. Because the flat part of the graph, representing the friends’ time at the park, is 5 boxes long, then the students spent 5\times5=25 minutes at the park.
Question 3
LEVEL 3
A group of friends meet at one of their houses before going out to play.
What was their speed running home from the furthest point?
Select the correct answer from the list below:
A: 7mph
B: 6mph
C: 3.5mph
D: 5.74mph
CORRECT ANSWER: B: 6mph
WORKED SOLUTION:
Looking between 14:00 and 14:15 we can see that there are 3 big boxes, so each box must be worth 15\div3=5 minutes.
We can find out when they left by drawing down from the graph to the time.
Because we know that each box is worth 5 minutes, counting along we see it takes them “7 boxes” to get home, or 7\times5=35 minutes. To figure out the speed we can use our speed-distance-time triangle:
First we need to figure out the time, which is just how long it takes divided by 60 (\frac{35}{60}). And then we can divide the distance by the time.
3.5\div\frac{35}{60}=6 mph
Question 4
LEVEL 3
Two friends, Phil and Harry, run a 100m race. Use the graph below to determine the fastest average speed. 
Select the correct answer from the list below:
A: 8.33 m/s
B: 6.67 m/s
C: 6.23 m/s
D: 7.14 m/s
CORRECT ANSWER: D: 7.14 m/s
WORKED SOLUTION:
To figure out the speed we can use our speed-distance-time triangle to see that we divide distance by time.
Because Phil finished first, he must have the quickest average speed. This average speed is
100\div14=7.14 m/s
Question 5
LEVEL 3
Two friends, Phil and Harry, run a 100m race. What was the fastest speed recorded by either of them?
Select the correct answer from the list below:
A: 8 m/s
B: 6.67 m/s
C: 7.5 m/s
D: 8.63 m/s
CORRECT ANSWER: A: 8 m/s
WORKED SOLUTION:
To figure out the speeds we can use our speed-distance-time triangle to see that we divide distance by time.
So, the fastest speed was 8 m/s.