Measures and Units: Practice Set 2 Worksheet with Answers

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EP.M10B Measures and Units: Practice Set 2

GL ASSESSMENT GL · Calculators not allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

1

Convert 6 km into metres.

A) 60 m
B) 600 m
C) 6000 m
D) 60000 m
E) 6 m

(Total for Question 1 is 1 mark)

2

Convert 4750 g into kilograms.

A) 47.5 kg
B) 4.75 kg
C) 0.475 kg
D) 475 kg
E) 47500 kg

(Total for Question 2 is 1 mark)

3

Which of these masses is the lightest?

A) 0.6 kg
B) 580 g
C) 0.65 kg
D) 550 g
E) 6 kg

(Total for Question 3 is 1 mark)

4

A thermometer has a scale in degrees Celsius, with a line every 2 degrees Celsius, labelled 0, 2, 4, up to 40. The tip of the mercury sits exactly halfway between the 24 degC line and the 26 degC line.

(Total for Question 4 is 1 mark)

5

How many minutes are there in 2 and 1/5 hours?

A) 120
B) 122
C) 132
D) 140
E) 150

(Total for Question 5 is 1 mark)

6

Convert 0.75 litres into millilitres.

A) 7.5 ml
B) 75 ml
C) 750 ml
D) 7500 ml
E) 75000 ml

(Total for Question 6 is 1 mark)

7

Convert 3 and 1/4 hours into minutes.

A) 185
B) 190
C) 195
D) 200
E) 205

(Total for Question 7 is 1 mark)

8

A roll of ribbon is 3.8 m long.

(a)Convert this length into centimetres.(1)

(b)Convert this length into millimetres.(1)

(Total for Question 8 is 2 marks)

9

A rectangular noticeboard measures 6.2 m by 2.8 m. Calculate the perimeter of the noticeboard.

A) 9 m
B) 12.4 m
C) 17.36 m
D) 18 m
E) 34.72 m

(Total for Question 9 is 1 mark)

10

A rectangular garden measures 480 cm by 350 cm. Calculate the area of the garden in square metres (m²).

(Total for Question 10 is 3 marks)

11

A train departs at 07:38 and arrives at 09:05. Calculate the length of the journey in minutes.

A) 80
B) 85
C) 87
D) 90
E) 97

(Total for Question 11 is 1 mark)

12

Nia is making banana bread. Her recipe for 6 people uses 480 g of flour.

(a)Nia wants to make enough for 15 people. Calculate how many grams of flour she needs.(2)

(b)Flour costs 1.60 pounds per kilogram. Calculate the cost of the 1200 g of flour Nia needs.(2)

(Total for Question 12 is 4 marks)

13

A car travels 210 km at a constant speed, completing the journey in 3.5 hours. Calculate the car's average speed.

A) 52.5 km/h
B) 58 km/h
C) 60 km/h
D) 65 km/h
E) 70 km/h

(Total for Question 13 is 1 mark)

14

A cyclist travels 42 km at an average speed of 24 km/h. Calculate how long the journey takes, giving your answer in hours and minutes.

(Total for Question 14 is 2 marks)

15

A jug contains 3.6 litres of orange squash. Calculate how many 300 ml cups can be completely filled from the jug.

A) 10
B) 11
C) 12
D) 14
E) 36

(Total for Question 15 is 1 mark)

16

A suitcase has a total mass of 18.5 kg. The clothes inside have a mass of 4300 g. Calculate the mass of the empty suitcase. Give your answer in kilograms.

(Total for Question 16 is 3 marks)

17

A map has a scale of 1 : 25000. The distance between two villages on the map is 4 cm. Calculate the real distance between the villages, in km.

A) 0.25 km
B) 1 km
C) 4 km
D) 10 km
E) 25 km

(Total for Question 17 is 1 mark)

18

A water tank is filled at a constant rate. It takes 20 minutes to fill 240 litres.

(a)Calculate the rate of flow, in litres per minute.(2)

(b)At this rate, calculate how long it would take to fill a 450 litre tank. Give your answer to the nearest minute.(2)

(Total for Question 18 is 4 marks)

19

Overnight, the temperature was -3 degC. By midday it had risen to 9 degC. Calculate the rise in temperature.

A) 6 degC
B) 9 degC
C) 12 degC
D) 3 degC
E) -12 degC

(Total for Question 19 is 1 mark)

20

Show that a speed of 900 metres per minute is equivalent to 54 km/h.

(Total for Question 20 is 3 marks)

21

A recipe uses 250 g of butter for every 4 people it serves. Calculate how many grams of butter are needed to serve 10 people.

A) 500 g
B) 600 g
C) 625 g
D) 650 g
E) 1000 g

(Total for Question 21 is 1 mark)

22

A train travels 96 km in 1 hour 12 minutes. Calculate its average speed in km/h.

A) 72 km/h
B) 76.8 km/h
C) 80 km/h
D) 84 km/h
E) 96 km/h

(Total for Question 22 is 1 mark)

23

Which of these is equal to 2.5 tonnes? (1 tonne = 1000 kg)

A) 25 kg
B) 250 kg
C) 2500 kg
D) 25000 kg
E) 250000 kg

(Total for Question 23 is 1 mark)

24

A tank loses water at a constant rate of 150 ml per minute. Calculate how many litres are lost in 20 minutes.

A) 1.5 litres
B) 2 litres
C) 3 litres
D) 3.5 litres
E) 30 litres

(Total for Question 24 is 1 mark)

25

The diagram shows an L-shaped patio (not drawn to scale). The bottom edge is 12 m long and the left-hand edge is 7 m long. A rectangular section measuring 5 m by 3 m has been removed from the top right-hand corner, creating the notch in the shape.

(Total for Question 25 is 4 marks)

26

Siobhan is a delivery driver. In the morning she drives from a depot in Preston to a warehouse in Bolton, a distance of 36 km, at an average speed of 48 km/h. She then drives from Bolton to a second warehouse in Manchester, a distance of 100 km, at an average speed of 80 km/h.

(a)Calculate the time taken for each part of Siobhan's journey.(2)

(b)Calculate the total time for the whole journey, in hours.(1)

(c)Calculate Siobhan's average speed for the whole journey, in km/h.(2)

(Total for Question 26 is 5 marks)

27

A ceiling in a village hall measures 5.4 m by 3.6 m. It has two square skylights, each with sides of 0.4 m, which will not be painted.

(a)Calculate the area of the ceiling that needs to be painted, in m².(4)

(b)One tin of paint covers 4 m² and costs 9.20 pounds. Calculate the total cost of the tins of paint needed to cover the ceiling.(2)

(Total for Question 27 is 6 marks)

28

Mrs Adeyemi needs to arrive at a wedding in Chester by 15:15. The distance from her home to Chester is 96 km. She plans to drive at an average speed of 64 km/h and will take one 20 minute stop for fuel on the way.

(a)Calculate the driving time for the journey, not including the stop. Give your answer in hours and minutes.(2)

(b)Calculate the total time needed for the whole journey, including the stop.(2)

(c)Find the latest time Mrs Adeyemi must leave home in order to arrive by 15:15.(2)

(Total for Question 28 is 6 marks)

Mark scheme · EP.M10B Measures and Units: Practice Set 2

Question 1

B1 C) 6000 m cao
Answer: 6000 m

Question 2

B1 B) 4.75 kg cao
Answer: 4.75 kg

Question 3

B1 D) 550 g cao
Answer: D) 550 g

Question 4

B1 25 degC cao
Answer: 25 degC

Question 5

B1 132 minutes cao
Answer: 132 minutes

Question 6

B1 750 ml cao
Answer: 750 ml

Question 7

B1 195 minutes cao
Answer: 195 minutes

Question 8

(a) B1 380 cm cao
(a) Answer: 380 cm
(b) B1 3800 mm cao
(b) Answer: 3800 mm

Question 9

B1 D) 18 m cao
Answer: 18 m

Question 10

M1 Converts both lengths to metres: 4.8 m and 3.5 m
M1 Correct method, e.g. 4.8 x 3.5 (oe)
A1 16.8 m² cao
Answer: 16.8 m²

Question 11

B1 87 minutes cao
Answer: 87 minutes

Question 12

(a) M1 Finds the scale factor 15 / 6 = 2.5, or an equivalent correct method
(a) A1 1200 g cao
(a) Answer: 1200 g
(b) M1 Converts 1200 g to 1.2 kg and multiplies by 1.60 (oe, ft from part a)
(b) A1 1.92 pounds cao
(b) Answer: 1.92 pounds

Question 13

B1 60 km/h cao
Answer: 60 km/h

Question 14

M1 Time = distance / speed = 42 / 24 (oe)
A1 1 hour 45 minutes oe (accept 1.75 hours)
Answer: 1 hour 45 minutes

Question 15

B1 12 cups cao
Answer: 12 cups

Question 16

M1 Converts 18.5 kg to 18500 g
M1 Subtracts 4300 from their 18500 (oe)
A1 14.2 kg cao
Answer: 14.2 kg

Question 17

B1 B) 1 km cao
Answer: 1 km

Question 18

(a) M1 240 / 20 (oe)
(a) A1 12 litres per minute cao
(a) Answer: 12 litres per minute
(b) M1 450 / 12 (oe, using their rate ft from part a)
(b) A1 38 minutes awrt
(b) Answer: 38 minutes (awrt)

Question 19

B1 C) 12 degC cao
Answer: 12 degC

Question 20

M1 Converts 900 m to 0.9 km (oe)
M1 Multiplies by 60 to convert per minute to per hour (oe)
A1 54 km/h cso (answer is given, so full correct working must be shown)
Answer: 54 km/h (shown)

Question 21

B1 C) 625 g cao
Answer: 625 g

Question 22

B1 C) 80 km/h cao
Answer: 80 km/h

Question 23

B1 C) 2500 kg cao
Answer: 2500 kg

Question 24

B1 C) 3 litres cao
Answer: 3 litres

Question 25

M1 Finds the missing horizontal side: 12 - 5 = 7 m
M1 Finds the missing vertical side: 7 - 3 = 4 m
M1 Adds all six sides of the shape (oe, or uses 2 x (12 + 7))
A1 38 m cao
Answer: 38 m

Question 26

(a) B1 45 minutes for Preston to Bolton
(a) B1 1 hour 15 minutes for Bolton to Manchester
(a) Answer: Preston to Bolton: 45 minutes; Bolton to Manchester: 1 hour 15 minutes
(b) M1 Adds the two times correctly, ft from part a (e.g. 45 + 75 = 120 minutes)
(b) Answer: 2 hours
(c) M1 Average speed = total distance / total time, ft (e.g. (36 + 100) / 2)
(c) A1 68 km/h cao
(c) Answer: 68 km/h

Question 27

(a) M1 Ceiling area = 5.4 x 3.6 = 19.44 (m²)
(a) M1 Area of one skylight = 0.4 x 0.4 = 0.16 (m²)
(a) M1 Subtracts the area of both skylights from the ceiling area (oe)
(a) A1 19.12 m² cao
(a) Answer: 19.12 m²
(b) M1 19.12 / 4 = 4.78, rounds up to 5 whole tins, ft from part a
(b) A1 46.00 pounds cao (ft)
(b) Answer: 46.00 pounds (5 tins needed)

Question 28

(a) M1 96 / 64 (oe)
(a) A1 1 hour 30 minutes oe
(a) Answer: 1 hour 30 minutes
(b) M1 Adds 20 minutes to their time from part a, ft
(b) A1 1 hour 50 minutes cao (ft)
(b) Answer: 1 hour 50 minutes
(c) M1 Subtracts their total time from part b from 15:15, ft
(c) A1 13:25 cao (ft)
(c) Answer: 13:25

Measures and Units: Practice Set 2 - Worksheets, Questions and Revision

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EP.M10B Measures and Units: Practice Set 2

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Question 2

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Question 9

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Question 12

Question 13

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Question 15

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Question 28

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Question 28