1. Speed, Distance & Time – Higher – GCSE Questions – AQA
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in 2 sizes.

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3. Miles travelled per gallon Miles travelled per gallon
AQA Higher: June 2017 Paper 3, Q17
AQA Higher: June 2017 Paper 3, Q17 1
Sally drives her car.
She drives the first 14 miles in 14 minutes.
She then drives at an average speed of 75 miles per hour
for 1 hour 12 minutes.
She finds this information about her car. 1
Sally drives her car.
She drives the first 14 miles in 14 minutes.
She then drives at an average speed of 75 miles per hour
for 1 hour 12 minutes.
She finds this information about her car.
Average Speed
Miles travelled per gallon
65 miles per hour or less 54
More than 65 miles per hour 46
Average Speed
Miles travelled per gallon
65 miles per hour or less 54
More than 65 miles per hour 46
Use the information to show that her car uses more than
2 gallons of petrol for the drive.
Use the information to show that her car uses more than
2 gallons of petrol for the drive.
[5 marks]
[5 marks]

5. AQA Higher: November 2017 Paper 3, Q9
Rearrange 𝑣=𝑢+𝑎𝑡 to make 𝑡 the subject of the formula.
1 (a)
Rearrange 𝑣=𝑢+𝑎𝑡 to make 𝑡 the subject of the formula.
[2 marks]
[2 marks]
Answer
Answer
1 (b)
Complete this table with consistent metric units.
1 (b)
Complete this table with consistent metric units.
[2 marks]
[2 marks]
Distance
Time
Speed
Acceleration m s
Distance
Time
Speed
Acceleration m s
AQA Higher: November 2017 Paper 3, Q9
AQA Higher: November 2017 Paper 3, Q9
1 (a)
Rearrange 𝑣=𝑢+𝑎𝑡 to make 𝑡 the subject of the formula.
1 (a)
Rearrange 𝑣=𝑢+𝑎𝑡 to make 𝑡 the subject of the formula.
[2 marks]
[2 marks]
Answer
Answer
1 (b)
Complete this table with consistent metric units.
1 (b)
Complete this table with consistent metric units.
[2 marks]
[2 marks]
Distance
Time
Speed
Acceleration m s
Distance
Time
Speed
Acceleration m s

7. AQA Higher: November 2017 Paper 3, Q12
The distance by road from Birmingham to London is 160 miles.
Sally travels by coach from Birmingham to London.
The coach leaves Birmingham at am 1
The distance by road from Birmingham to London is 160 miles.
Sally travels by coach from Birmingham to London.
The coach leaves Birmingham at am
1 (a)
She assumes the coach will travel at an average speed of 50 mph
Use her assumption to work out the arrival time in London.
1 (a)
She assumes the coach will travel at an average speed of 50 mph
Use her assumption to work out the arrival time in London.
[3 marks]
[3 marks]
Answer
Answer
1 (b)
In fact, the coach has a lower average speed.
How does this affect the arrival time?
1 (b)
In fact, the coach has a lower average speed.
How does this affect the arrival time?
[1 mark]
[1 mark]

9. AQA Higher: May 2017 Paper 1, Q9 AQA Higher: May 2017 Paper 1, Q9
𝐷𝑒𝑛𝑠𝑖𝑡𝑦 = 𝑚𝑎𝑠𝑠 𝑣𝑜𝑙𝑢𝑚𝑒
The mass of solid A is 6 times the mass of solid B.
The volume of solid A is 12 times the volume of solid B.
Complete the sentence.
The density of solid A is ____________times the density of solid B.
1 (a)
𝐷𝑒𝑛𝑠𝑖𝑡𝑦 = 𝑚𝑎𝑠𝑠 𝑣𝑜𝑙𝑢𝑚𝑒
The mass of solid A is 6 times the mass of solid B.
The volume of solid A is 12 times the volume of solid B.
Complete the sentence.
The density of solid A is ____________times the density of solid B.
[1 mark]
[1 mark]
1 (b)
𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑠𝑝𝑒𝑒𝑑 = 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑖𝑚𝑒
If the distance is doubled and the time is halved,
what happens to the average speed?
Circle your answer.
1 (b)
𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑠𝑝𝑒𝑒𝑑 = 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑖𝑚𝑒
If the distance is doubled and the time is halved,
what happens to the average speed?
Circle your answer.
[1 mark]
[1 mark]
× 2
× 4
no change
÷ 2
÷ 4
× 2
× 4
no change
÷ 2
÷ 4

11. Miles travelled per gallon
AQA Higher: June 2017 Paper 3, Q17 1
Sally drives her car.
She drives the first 14 miles in 14 minutes.
She then drives at an average speed of 75 miles per hour
for 1 hour 12 minutes.
She finds this information about her car.
Average Speed
Miles travelled per gallon
65 miles per hour or less 54
More than 65 miles per hour 46
Use the information to show that her car uses more than
2 gallons of petrol for the drive.
[5 marks]

13. AQA Higher: November 2017 Paper 3, Q12
The distance by road from Birmingham to London is 160 miles.
Sally travels by coach from Birmingham to London.
The coach leaves Birmingham at am
1 (a)
She assumes the coach will travel at an average speed of 50 mph
Use her assumption to work out the arrival time in London.
[3 marks]
Answer
1 (b)
In fact, the coach has a lower average speed.
How does this affect the arrival time?
[1 mark]

14. AQA Higher: May 2017 Paper 1, Q9 1 (a) 𝐷𝑒𝑛𝑠𝑖𝑡𝑦 = 𝑚𝑎𝑠𝑠 𝑣𝑜𝑙𝑢𝑚𝑒
The mass of solid A is 6 times the mass of solid B.
The volume of solid A is 12 times the volume of solid B.
Complete the sentence.
The density of solid A is ____________times the density of solid B.
[1 mark]
1 (b)
𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑠𝑝𝑒𝑒𝑑 = 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑖𝑚𝑒
If the distance is doubled and the time is halved,
what happens to the average speed?
Circle your answer.
[1 mark]
× 2
× 4
no change
÷ 2
÷ 4

15. Miles travelled per gallon
AQA Higher: June 2017 Paper 3, Q17 1
Sally drives her car.
She drives the first 14 miles in 14 minutes.
She then drives at an average speed of 75 miles per hour
for 1 hour 12 minutes.
She finds this information about her car.
Average Speed
Miles travelled per gallon
65 miles per hour or less 54
More than 65 miles per hour 46
Use the information to show that her car uses more than
2 gallons of petrol for the drive.
Stage 1: 60 mph
14 miles at 54 miles per gallon
14 ÷ 54 = 0.259… gallons
[5 marks]
1 hr 12 min = /60 = 1.2 hours
Stage 2:
1.2 hours × 75 mph = 90 miles
(46 miles per gallon)
90 ÷ 46 = 1.956… gallons
= = 2.22 gallons (2dp)

17. The arrival time will be later.
AQA Higher: November 2017 Paper 3, Q12 1
The distance by road from Birmingham to London is 160 miles.
Sally travels by coach from Birmingham to London.
The coach leaves Birmingham at am
1 (a)
She assumes the coach will travel at an average speed of 50 mph
Use her assumption to work out the arrival time in London.
𝑇𝑖𝑚𝑒= 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑠𝑝𝑒𝑒𝑑
[3 marks]
= 3.2 hours = 3 hours hours
= 3 hours 12 minutes
(0.2 × 60 = 12 minutes)
11: hours = 2:30
2: minutes = 2:42
2:42 pm
Answer
1 (b)
In fact, the coach has a lower average speed.
How does this affect the arrival time?
[1 mark]
The arrival time will be later.

18. Substitute a value for d and t.
AQA Higher: May 2017 Paper 1, Q9
1 (a)
𝐷𝑒𝑛𝑠𝑖𝑡𝑦 = 𝑚𝑎𝑠𝑠 𝑣𝑜𝑙𝑢𝑚𝑒
The mass of solid A is 6 times the mass of solid B.
The volume of solid A is 12 times the volume of solid B.
Complete the sentence.
The density of solid A is ____________times the density of solid B.
[1 mark]
0.5
𝑚 ×6 𝑣 ×12 = 1 2
1 (b)
𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑠𝑝𝑒𝑒𝑑 = 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑖𝑚𝑒
If the distance is doubled and the time is halved,
what happens to the average speed?
Circle your answer.
[1 mark]
× 2
× 4
no change
÷ 2
÷ 4
𝑑×2 𝑡÷2
2×2 2÷2
4 1 ×4
Substitute a value for d and t.

19. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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