Measures and Units - Worksheets, Questions and Revision

21 original exam-style questions - 7 pages of questions with a full mark scheme - free printable PDF.

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11+ · Mathematics

EP.M10 Measures and Units

GL ASSESSMENT GL · Calculators not allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Convert each of these measurements.

(a)Convert 4 km into metres.(1)

(b)Convert 3200 g into kilograms.(1)

(Total for Question 1 is 2 marks)

Convert each of these time measurements.

(a)Convert 2 and 3/4 hours into minutes.(1)

(b)Convert 150 seconds into minutes and seconds.(1)

(Total for Question 2 is 2 marks)

Which of these lengths is the shortest?

A) 0.5 m
B) 45 cm
C) 480 mm
D) 52 cm

(Total for Question 3 is 1 mark)

A measuring jug is marked with horizontal lines every 100 ml, labelled 0, 100, 200, up to 1000 ml. The surface of the water in the jug sits exactly halfway between the 700 ml line and the 800 ml line.

(Total for Question 4 is 1 mark)

A plank of wood is 2.6 m long.

(a)Write this length in centimetres.(1)

(b)Write this length in millimetres.(1)

(Total for Question 5 is 2 marks)

A rectangular flower bed has a length of 7.5 m and a width of 3.5 m. Calculate the perimeter of the flower bed.

(Total for Question 6 is 2 marks)

A rectangular lawn measures 350 cm by 200 cm. Calculate the area of the lawn in square metres (m²).

(Total for Question 7 is 3 marks)

A bus leaves Leeds at 09:47 and arrives in York at 11:15. Calculate the length of the journey, giving your answer in hours and minutes.

(Total for Question 8 is 2 marks)

The table shows bus times between Sheffield and Nottingham.

Sheffield (dep): 08:20	09:05	10:15
Nottingham (arr): 09:35	10:20	11:40

(a)Sam catches the 09:05 bus from Sheffield. At what time is he due to arrive in Nottingham?(1)

(b)Calculate how long the 10:15 bus takes to travel from Sheffield to Nottingham.(2)

(Total for Question 9 is 3 marks)

A recipe for 8 flapjacks uses 350 g of oats.

(a)Priya wants to make 20 flapjacks. Calculate how many grams of oats she needs.(2)

(b)Oats cost 2.40 pounds per kilogram. Calculate the cost of the 875 g of oats Priya needs.(2)

(Total for Question 10 is 4 marks)

A car travels at a constant speed of 60 km/h for 3 hours. Calculate the distance travelled.

(Total for Question 11 is 2 marks)

A cyclist travels 54 km at an average speed of 15 km/h. Calculate how long the journey takes, giving your answer in hours and minutes.

(Total for Question 12 is 2 marks)

A jug contains 2 litres of orange juice. Calculate how many 250 ml glasses can be completely filled from the jug.

(Total for Question 13 is 2 marks)

A parcel has a total mass of 2.4 kg. The packaging alone has a mass of 350 g. Calculate the mass of the contents of the parcel. Give your answer in grams.

(Total for Question 14 is 3 marks)

The diagram shows an L-shaped patio (not drawn to scale). The bottom edge is 9 m long and the left-hand edge is 5 m long. A rectangular section measuring 4 m by 2 m has been removed from the top right-hand corner, creating the notch in the shape.

(Total for Question 15 is 4 marks)

Aisha drives from Bristol to Bath, a distance of 20 km, at an average speed of 40 km/h. She then drives from Bath to Chippenham, a distance of 45 km, at an average speed of 60 km/h.

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

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

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

(Total for Question 16 is 5 marks)

A water tank is filled at a constant rate. It takes 15 minutes to fill 180 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 500 litre tank. Give your answer to the nearest minute.(2)

(Total for Question 17 is 4 marks)

A rectangular wall measures 4.2 m by 2.5 m. It has one square window of side 0.6 m which will not be painted.

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

(b)One tin of paint covers 5 m² and costs 8.50 pounds. Calculate the total cost of the tins of paint needed to cover the wall.(2)

(Total for Question 18 is 6 marks)

Show that a speed of 3.6 km/h is equivalent to exactly 1 m/s.

(Total for Question 19 is 3 marks)

A delivery van has a maximum load limit of 1 tonne (1000 kg). It is carrying three crates with masses of 320 kg, 275 kg and 380 kg.

(a)Calculate the total mass of the three crates.(2)

(b)State, with a reason, whether the van is within its load limit.(1)

(Total for Question 20 is 3 marks)

Mr Hughes needs to arrive at a meeting in Cardiff by 13:30. The distance from his office to Cardiff is 84 km. He plans to drive at an average speed of 56 km/h and will take one 15 minute break on the way.

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

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

(c)Find the latest time Mr Hughes must leave the office in order to arrive by 13:30.(2)

(Total for Question 21 is 6 marks)

Mark scheme · EP.M10 Measures and Units

Question 1

(a) B1 4000 m cao
(a) Answer: 4000 m
(b) B1 3.2 kg cao
(b) Answer: 3.2 kg

Question 2

(a) B1 165 minutes oe
(a) Answer: 165 minutes
(b) B1 2 minutes 30 seconds oe (accept 2.5 minutes)
(b) Answer: 2 minutes 30 seconds

Question 3

B1 B cao
Answer: B) 45 cm

Question 4

B1 750 ml cao
Answer: 750 ml

Question 5

(a) B1 260 cm cao
(a) Answer: 260 cm
(b) B1 2600 mm cao
(b) Answer: 2600 mm

Question 6

M1 Correct method, e.g. 7.5 + 3.5 (oe) or uses P = 2(l + w)
A1 22 m cao
Answer: 22 m

Question 7

M1 Converts both lengths to metres: 3.5 m and 2 m
M1 Correct method, e.g. 3.5 x 2 (oe)
A1 7 m² cao
Answer: 7 m²

Question 8

M1 Correct method, e.g. 09:47 to 10:47 is 1 hour, then adds the remaining 28 minutes to 11:15 (oe)
A1 1 hour 28 minutes cao
Answer: 1 hour 28 minutes

Question 9

(a) B1 10:20 cao
(a) Answer: 10:20
(b) M1 Correct method finding elapsed time from 10:15 to 11:40 (oe)
(b) A1 1 hour 25 minutes cao
(b) Answer: 1 hour 25 minutes

Question 10

(a) M1 Finds the scale factor 20 / 8 = 2.5, or an equivalent correct method
(a) A1 875 g cao
(a) Answer: 875 g
(b) M1 Converts 875 g to 0.875 kg and multiplies by 2.40 (oe, ft from part a)
(b) A1 2.10 pounds cao
(b) Answer: 2.10 pounds

Question 11

M1 Uses distance = speed x time (oe)
A1 180 km cao
Answer: 180 km

Question 12

M1 Time = distance / speed = 54 / 15 (oe)
A1 3 hours 36 minutes oe (accept 3.6 hours)
Answer: 3 hours 36 minutes

Question 13

M1 Converts 2 litres to 2000 ml (oe)
A1 8 (glasses) cao
Answer: 8 glasses

Question 14

M1 Converts 2.4 kg to 2400 g
M1 Subtracts 350 from their 2400 (oe)
A1 2050 g cao
Answer: 2050 g

Question 15

M1 Finds the missing horizontal side: 9 - 4 = 5 m
M1 Finds the missing vertical side: 5 - 2 = 3 m
M1 Adds all six sides of the shape (oe, or uses 2 x (9 + 5))
A1 28 m cao
Answer: 28 m

Question 16

(a) B1 30 minutes for Bristol to Bath
(a) B1 45 minutes for Bath to Chippenham
(a) Answer: Bristol to Bath: 30 minutes; Bath to Chippenham: 45 minutes
(b) M1 Adds the two times correctly, ft from part a (e.g. 30 + 45 = 75 minutes)
(b) Answer: 1.25 hours (1 hour 15 minutes)
(c) M1 Average speed = total distance / total time, ft (e.g. (20 + 45) / 1.25)
(c) A1 52 km/h cao
(c) Answer: 52 km/h

Question 17

(a) M1 180 / 15 (oe)
(a) A1 12 litres per minute cao
(a) Answer: 12 litres per minute
(b) M1 500 / 12 (oe, using their rate ft from part a)
(b) A1 42 minutes awrt
(b) Answer: 42 minutes (awrt)

Question 18

(a) M1 Wall area = 4.2 x 2.5 = 10.5 (m²)
(a) M1 Window area = 0.6 x 0.6 = 0.36 (m²)
(a) M1 Subtracts the window area from the wall area (oe)
(a) A1 10.14 m² cao
(a) Answer: 10.14 m²
(b) M1 10.14 / 5 = 2.028, rounds up to 3 whole tins, ft from part a
(b) A1 25.50 pounds cao (ft)
(b) Answer: 25.50 pounds (3 tins needed)

Question 19

M1 Converts 3.6 km to 3600 m (oe)
M1 Converts 1 hour to 3600 seconds (oe)
A1 1 m/s cso (answer is given, so full correct working must be shown)
Answer: 1 m/s (shown)

Question 20

(a) M1 320 + 275 + 380 (oe)
(a) A1 975 kg cao
(a) Answer: 975 kg
(b) B1 Yes, with correct reason, ft from part a (e.g. 975 kg is less than 1000 kg, so it is within the limit, with 25 kg to spare)
(b) Answer: Yes; 975 kg is less than 1000 kg, so the van is within its limit, with 25 kg to spare.

Question 21

(a) M1 84 / 56 (oe)
(a) A1 1 hour 30 minutes oe
(a) Answer: 1 hour 30 minutes
(b) M1 Adds 15 minutes to their time from part a, ft
(b) A1 1 hour 45 minutes cao (ft)
(b) Answer: 1 hour 45 minutes
(c) M1 Subtracts their total time from part b from 13:30, ft
(c) A1 11:45 cao (ft)
(c) Answer: 11:45

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