A car travels 150 km in 3 hours at constant speed. Work out its speed in km/h.
(1)
4
Find the density of an object with mass 60 g and volume 12 cm3.
(1)
5
A runner travels at 5 m/s for 20 seconds. Work out the distance travelled.
(1)
6
Find the mass of a liquid with density 1.2 g/cm3 and volume 50 cm3.
(1)
7
A cyclist travels 40 km at a constant speed of 16 km/h. Work out how long the journey takes, in hours.
(1)
8
A machine produces 60 items in 5 minutes at a steady rate. Work out the rate of production in items per minute.
(1)
9
A ferry travels 5.4 km in 18 minutes at constant speed. Work out its speed in km/h.
(2)
10
A block of wood has volume 40 cm3 and mass 32 g. Work out its density in g/cm3.
(2)
11
A drone flies at a steady 15 m/s. Work out how far it travels in 2 minutes, giving your answer in metres.
(2)
12
A tap fills a container at a rate of 0.4 litres per second. Work out how many litres it fills in 3 minutes.
(2)
13
A metal cube has side length 4 cm and mass 320 g. Work out the density of the metal in g/cm3.
(2)
14
A car travels for 45 minutes at an average speed of 60 km/h. Work out the distance travelled in km.
(2)
15
A train travels 231 km in 1 hour 45 minutes at a constant speed. Work out the speed of the train in km/h.
(3)
16
A block of alloy has mass 1.2 kg and volume 150 cm3. Work out the density of the alloy in g/cm3. (1 kg = 1000 g)
(3)
17
A factory fills bottles at a rate of 45 bottles per minute for the first 10 minutes, then increases to 60 bottles per minute for the next 5 minutes. Work out the total number of bottles filled.
(3)
18
A cyclist rides 18 km at 24 km/h, then rides a further 10 km at 20 km/h. Work out the total time taken for the whole journey, in hours. Give your answer as a decimal.
(3)
19
A container ship travels 350 km in 14 hours, then 240 km in the next 8 hours. Work out the average speed for the whole journey in km/h, giving your answer to 1 decimal place.
(4)
20
A cylindrical metal rod has volume 250 cm3 and is made from a metal of density 7.8 g/cm3. Work out the mass of the rod in kilograms, giving your answer to 2 decimal places. (1 kg = 1000 g)
(4)
Mark scheme · KS3.M-R9D Compound Measures: Speed, Density and Rates: Fluency and Exam Drill
Question 1
B1 12.5 m/s cao
Answer: 12.5 m/s
Question 2
B1 28.8 km/h cao
Answer: 28.8 km/h
Question 3
B1 50 km/h cao
Answer: 50 km/h
Question 4
B1 5 g/cm3 cao
Answer: 5 g/cm3
Question 5
B1 100 m cao
Answer: 100 m
Question 6
B1 60 g cao
Answer: 60 g
Question 7
B1 2.5 hours cao
Answer: 2.5 hours
Question 8
B1 12 items per minute cao
Answer: 12 items per minute
Question 9
M1 convert 18 minutes to hours: 18/60 = 0.3 h
A1 18 km/h cao
Answer: 18 km/h
Question 10
M1 use density = mass/volume
A1 0.8 g/cm3 cao
Answer: 0.8 g/cm3
Question 11
M1 convert 2 minutes to 120 seconds
A1 1800 m cao
Answer: 1800 m
Question 12
M1 convert 3 minutes to 180 seconds
A1 72 litres cao
Answer: 72 litres
Question 13
M1 find volume = 43 = 64 cm3
A1 5 g/cm3 cao
Answer: 5 g/cm3
Question 14
M1 convert 45 minutes to hours: 45/60 = 0.75 h
A1 45 km cao
Answer: 45 km
Question 15
M1 convert 1 hour 45 minutes to 1.75 hours
M1 use speed = distance/time = 231/1.75
A1 132 km/h cao
Answer: 132 km/h
Question 16
M1 convert 1.2 kg to 1200 g
M1 use density = mass/volume = 1200/150
A1 8 g/cm3 cao
Answer: 8 g/cm3
Question 17
M1 find bottles in first stage: 45*10 = 450
M1 find bottles in second stage: 60*5 = 300
A1 750 bottles cao
Answer: 750 bottles
Question 18
M1 find time for first stage: 18/24 = 0.75 h
M1 find time for second stage: 10/20 = 0.5 h
A1 1.25 hours cao
Answer: 1.25 hours
Question 19
M1 find total distance: 350+240 = 590 km
M1 find total time: 14+8 = 22 hours
M1 use average speed = total distance/total time = 590/22