Work out 4.8 km/h in metres per second. Give an exact value if possible.
(Total for Question 7 is 2 marks)
8
A car is travelling at 90 km/h. Work out its speed in metres per second.
(Total for Question 8 is 2 marks)
9
Convert 0.003 km2 into square metres (m2).
(Total for Question 9 is 2 marks)
10
Work out 12500 mm3 expressed in cm3.
(Total for Question 10 is 2 marks)
11
Convert 72 km/h into centimetres per second (cm/s). Show your working.
(Total for Question 11 is 3 marks)
12
A rectangular pool is 12.5 m long, 4 m wide and 1.6 m deep. Work out the volume of water in the pool in litres.
(Total for Question 12 is 4 marks)
13
Convert 25000 cm2 to square metres (m2).
(Total for Question 13 is 2 marks)
14
Write 0.45 litres as a number of cubic centimetres (cm3).
(Total for Question 14 is 2 marks)
15
A train travels 108 km in 1.5 hours. Work out its average speed in metres per second. Give your answer to the nearest whole number.
(Total for Question 15 is 3 marks)
16
Convert 250 km2 into hectares.
(Total for Question 16 is 2 marks)
17
Work out 36000 cm3 expressed in cubic metres (m3).
(Total for Question 17 is 2 marks)
18
A cylindrical water tank has radius 0.75 m and height 1.2 m. Work out the volume of the tank in litres. Give your answer to 1 decimal place. (Use π in your working.)
(Total for Question 18 is 4 marks)
19
Convert 75 mm2 into square metres (m2).
(Total for Question 19 is 2 marks)
Mark scheme · 3.10D Conversions and Units: Fluency and Exam Drill
Question 1
B1 4.3 m cao
Answer: 4.3 m
Question 2
B1 5400 m cao
Answer: 5400 m
Question 3
B1 2.5 kg cao
Answer: 2.5 kg
Question 4
B1 3.2 mm cao
Answer: 3.2 mm
Question 5
M1 multiply 12.5 by 10000 (conversion factor m2 to cm2) oe
A1 125000 cm2 cao
Answer: 125000 cm2
Question 6
M1 use 1 m3 = 1000 litres, multiply 0.072 by 1000 oe
A1 72 L cao
Answer: 72 L
Question 7
M1 apply conversion factor 1 km/h = 5/18 m/s (or multiply by 5/18) oe
A1 4/3 m/s or 1.333... m/s cao
Answer: 4/3 m/s (1.333... m/s)
Question 8
M1 convert 90 km/h to m/s by multiplying by 5/18 oe
A1 25 m/s cao
Answer: 25 m/s
Question 9
M1 use 1 km2 = 1 000 000 m2, multiply 0.003 by 1 000 000 oe
A1 3000 m2 cao
Answer: 3000 m2
Question 10
M1 use 1 cm3 = 1000 mm3 or divide by 1000 oe
A1 12.5 cm3 cao
Answer: 12.5 cm3
Question 11
M1 convert km/h to m/s: 72 x 5/18 = 20 m/s oe
M1 convert m/s to cm/s by multiplying by 100 oe
A1 2000 cm/s cao
Answer: 2000 cm/s
Question 12
M1 calculate volume in m3: 12.5 x 4 x 1.6 oe
M1 find 80 m3 result or show the multiplication correctly oe
A1 80000 cao
B1 correct unit stated as litres
Answer: 80000 L
Question 13
M1 divide by 10000 (conversion cm2 to m2) oe
A1 2.5 m2 cao
Answer: 2.5 m2
Question 14
M1 use 1 L = 1000 cm3 and multiply 0.45 x 1000 oe
A1 450 cm3 cao
Answer: 450 cm3
Question 15
M1 find speed in km/h: 108 / 1.5 = 72 km/h oe
M1 convert 72 km/h to m/s by multiplying by 5/18 oe
A1 20 m/s cao (nearest whole number)
Answer: 20 m/s
Question 16
M1 use 1 km2 = 100 hectares, multiply 250 x 100 oe
A1 25000 hectares cao
Answer: 25000 hectares
Question 17
M1 divide by 1 000 000 (conversion cm3 to m3) oe
A1 0.036 m3 cao
Answer: 0.036 m3
Question 18
M1 use formula V = π r2 h and substitute r = 0.75, h = 1.2 oe
M1 calculate r2 x h = 0.752 x 1.2 = 0.675 oe
M1 multiply by π to get m3 then convert to litres by x1000 oe
A1 2120.6 L awrt (0.675 x π x 1000 = 2120.6 L to 1 d.p.)