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Measures, Units and Time: Practice Set 3 - Worksheets, Questions and Revision

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

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11+ · Mathematics

EP.M53 Measures, Units and Time: Practice Set 3

GL ASSESSMENT GL · Calculators not allowed · about 50 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A garden hosepipe is 640 cm long. Convert this length into metres.
  • A) 0.64 m
  • B) 6.4 m
  • C) 64 m
  • D) 6400 m
  • E) 64000 m
(Total for Question 1 is 1 mark)
2
Convert 3 and 1/2 litres into millilitres.
  • A) 350 ml
  • B) 3050 ml
  • C) 3500 ml
  • D) 3520 ml
  • E) 35000 ml
(Total for Question 2 is 1 mark)
3
A garden rain gauge is marked in millimetres. There is a labelled line every 10 mm, with 4 equally spaced unlabelled lines in between. The water level sits exactly on the second small line above the 30 mm mark.
(Total for Question 3 is 1 mark)
4
Convert 232 minutes into hours and minutes.
(Total for Question 4 is 1 mark)
5
Put these four masses in order, starting with the lightest: 1.2 kg, 950 g, 1050 g, 0.8 kg.
(Total for Question 5 is 1 mark)
6
A ferry departs Kirkwall at 11:25 and takes 1 hour 50 minutes to reach Lerwick. At what time does the ferry arrive in Lerwick?
(Total for Question 6 is 1 mark)
7
A tyre pressure gauge has a dial numbered every 10 units, from 0 to 40, with 4 equally spaced unlabelled lines between each numbered line. The needle rests exactly on the third unlabelled line after the 20 mark. What value does the needle show?
  • A) 22
  • B) 23
  • C) 24
  • D) 26
  • E) 28
(Total for Question 7 is 1 mark)
8
A stationery shop sells pencils in two pack sizes: a pack of 12 pencils for 3.60 pounds, and a pack of 20 pencils for 5.60 pounds. Calculate the cost per pencil for each pack size, and state which pack offers better value for money.
(Total for Question 8 is 3 marks)
9
A courier van travels 189 km in 2 hours 42 minutes at a constant speed. Calculate its average speed, in km/h.
  • A) 63 km/h
  • B) 66 km/h
  • C) 70 km/h
  • D) 75 km/h
  • E) 78 km/h
(Total for Question 9 is 1 mark)
10
A narrowboat travels at a constant speed of 6 km/h for 2 hours 30 minutes. Calculate the distance travelled, in km.
(Total for Question 10 is 2 marks)
11
A shelf is 1 m 45 cm long. Kofi has three boxes, each 38 cm wide, that he wants to line up along the shelf. Calculate how much shelf space, in cm, will be left over after placing the three boxes.
(Total for Question 11 is 2 marks)
12
A car's fuel gauge is a dial with a scale from Empty (E) to Full (F), split into quarters by 3 equally spaced marks. The needle points exactly to the mark closest to F. The tank holds 60 litres when full. Calculate roughly how many litres of fuel are in the tank.
  • A) 15 litres
  • B) 20 litres
  • C) 30 litres
  • D) 45 litres
  • E) 50 litres
(Total for Question 12 is 1 mark)
13
A night bus departs at 23:50 and arrives at its destination at 00:35 the following morning. Calculate the length of the journey in minutes.
(Total for Question 13 is 1 mark)
14
A school coach trip to a theme park leaves school at 08:05.
(a)The outward journey takes 2 hours 50 minutes, including one 15 minute rest stop. Calculate the time the coach arrives at the theme park.(2)
(b)The return journey begins at 16:20. It includes a 20 minute stop and takes 3 hours 5 minutes in total. At what time does the coach arrive back at school?(2)
(Total for Question 14 is 4 marks)
15
A printer prints at a constant rate of 20 pages per minute. Calculate how many seconds it takes to print 15 pages.
  • A) 15 seconds
  • B) 30 seconds
  • C) 45 seconds
  • D) 60 seconds
  • E) 75 seconds
(Total for Question 15 is 1 mark)
16
Niamh's suitcase is weighed on an airport luggage scale, which shows a reading of 21.6 kg. The airline's limit is 20 kg, with an excess baggage charge of 6 pounds per 100 g over the limit. Calculate the excess baggage charge Niamh must pay.
(Total for Question 16 is 3 marks)
17
A cheetah runs at 25 m/s. Which of these is the same speed in km/h?
  • A) 25 km/h
  • B) 45 km/h
  • C) 60 km/h
  • D) 90 km/h
  • E) 150 km/h
(Total for Question 17 is 1 mark)
18
A bottle of squash concentrate is diluted with water in the ratio 1 : 4 (concentrate : water) to make ready-to-drink juice. Grace wants to make 3.5 litres of ready-to-drink juice. Calculate how many millilitres of concentrate she needs.
(Total for Question 18 is 3 marks)
19
A car's odometer reads 48362 km at the start of a journey. At the end of the journey it reads 48517 km. Calculate the distance travelled, giving your answer in both km and m.
(Total for Question 19 is 2 marks)
20
Tram services from Eccles to Media City run every 8 minutes, starting at 06:04. Rhys arrives at the tram stop at 06:39. Calculate how many minutes he must wait for the next tram.
(Total for Question 20 is 2 marks)
21
A bottle of children's medicine contains 150 ml. The recommended dose is 7.5 ml every 6 hours. Calculate how many complete doses the bottle contains.
(Total for Question 21 is 2 marks)
22
A measuring cylinder is marked in millilitres, with a labelled line every 10 ml and 4 equally spaced unlabelled lines in between. The liquid level is exactly on the fourth small line above the 60 ml mark. What is the volume of liquid, in ml?
  • A) 64 ml
  • B) 66 ml
  • C) 68 ml
  • D) 70 ml
  • E) 72 ml
(Total for Question 22 is 1 mark)
23
A garden water butt holds 180 litres when full. It is currently 3/5 full.
(a)Calculate the number of litres currently in the water butt.(2)
(b)The tap on the water butt drains water at a constant rate of 3 litres per minute, but light rain refills it at the same time, at a rate of 0.6 litres per minute. Calculate the net rate at which the water level falls, in litres per minute.(1)
(c)Calculate how long it will take, in minutes, for the water butt to empty completely at this net rate.(2)
(Total for Question 23 is 5 marks)
24
Tanvir cycles from home to the coast, a distance of 30 km, at an average speed of 20 km/h.
(a)Calculate the time taken for the outward journey.(1)
(b)Tanvir wants his average speed for the whole 60 km round trip (there and back) to be 24 km/h. Calculate the total time allowed for the round trip.(2)
(c)Calculate the average speed Tanvir needs for the return journey in order to achieve this.(2)
(Total for Question 24 is 5 marks)
25
A rectangular room measures 4.6 m by 3.4 m. Skirting board is fitted around the full perimeter of the room, except for a 90 cm gap left for the doorway. Skirting board costs 4.50 pounds per metre and is sold only in whole metre lengths (any part-metre must be rounded up to the next whole metre).
(a)Calculate the total perimeter of the room.(1)
(b)Calculate the length of skirting board needed, after subtracting the doorway gap. Give your answer in metres.(2)
(c)Calculate the total cost of the skirting board, remembering it is sold only in whole metre lengths.(2)
(Total for Question 25 is 5 marks)
26
A school sports day begins at 09:30 with a 20 minute assembly. This is followed by four races, each taking 12 minutes, with a 5 minute gap between each race for the track to be reset. After the last race there is a 15 minute break before the prize-giving, which lasts 25 minutes.
(a)Calculate the total time taken by the four races and the gaps between them (not including the assembly or the break).(2)
(b)Calculate the time at which the prize-giving begins.(2)
(c)Calculate the time at which the whole sports day event finishes.(1)
(Total for Question 26 is 5 marks)
Mark scheme · EP.M53 Measures, Units and Time: Practice Set 3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

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