A set of kitchen scales is marked in intervals of 100 g, from 0 g to 1000 g. The needle rests exactly on the 4th mark after the 0 g mark. What mass does the scale show?
(Total for Question 4 is 1 mark)
5
Ahmed buys a drink costing 85p. He pays with a 2 pound coin. How much change should he receive?
(Total for Question 5 is 1 mark)
6
A football match kicks off at 3:15 pm and the final whistle blows at 4:50 pm. How many minutes does the match last?
(Total for Question 6 is 1 mark)
7
Write 18:40 using the 12-hour clock (include am or pm).
(Total for Question 7 is 1 mark)
8
A plank of wood measures 1 m 35 cm. A second plank measures 68 cm. Calculate the total length of the two planks. Give your answer in metres.
(Total for Question 8 is 2 marks)
9
Connor uses a set of bathroom scales. The dial is numbered every 10 kg, with 4 equally spaced unlabelled small divisions between each pair of numbered marks. The needle points to the 3rd small division after the 60 kg mark.
(a)State the value of each small division, in kg.(1)
(b)Calculate the mass, in kg, that the needle is pointing to.(1)
(Total for Question 9 is 2 marks)
10
Nia buys craft supplies for her class: 6 glue sticks at 55p each, 4 packs of card at 95p each, and one pair of scissors at 1.20 pounds. Calculate the total cost of her shopping, in pounds.
(Total for Question 10 is 3 marks)
11
A bus timetable shows departures from Elm Street: 08:10, 08:50, 09:30, 10:10 (every 40 minutes). Each journey to the Retail Park takes 22 minutes.
(a)At what time does the 08:50 bus arrive at the Retail Park?(1)
(b)Kwame reaches the bus stop at Elm Street at 09:05, just missing a bus. How many minutes must he wait for the next bus?(2)
(Total for Question 11 is 3 marks)
12
A cyclist rides at a constant speed of 18 km/h for 2 hours 30 minutes. Calculate the distance travelled.
(Total for Question 12 is 2 marks)
13
A train travels 126 km at an average speed of 84 km/h. Calculate how long the journey takes, giving your answer in hours and minutes.
(Total for Question 13 is 2 marks)
14
Farmer Osei is fencing a rectangular field measuring 45 m by 28 m. Fencing costs 3.50 pounds per metre. Calculate the total cost of fencing the whole perimeter of the field.
(Total for Question 14 is 3 marks)
15
A water bottle holds 750 ml. Calculate how many complete bottles can be filled from a 5 litre container.
(Total for Question 15 is 2 marks)
16
Shop A sells a 1.5 kg bag of rice for 2.85 pounds. Shop B sells a 2 kg bag of the same rice for 3.60 pounds.
(a)Work out the cost per kg at each shop.(2)
(b)Which shop offers better value for money? Give a reason.(1)
(Total for Question 16 is 3 marks)
17
A coach departs at 21:15 and the journey lasts 3 hours 40 minutes.
(a)Calculate the arrival time, using the 24-hour clock.(2)
(b)Convert this arrival time into the 12-hour clock.(1)
(Total for Question 17 is 3 marks)
18
A market stall sells cherries at 4.80 pounds per kg. Tariq buys 650 g of cherries.
(a)Calculate the cost of the cherries Tariq buys.(2)
(b)Tariq pays with a 5 pound note. Calculate his change.(2)
(Total for Question 18 is 4 marks)
19
Ffion cuts four lengths of ribbon: 1.2 m, 95 cm, 1050 mm, and 1 m 8 cm. Put these lengths in order, from shortest to longest.
(Total for Question 19 is 2 marks)
20
Ronan drives from his home to Newcastle, a distance of 25 km, at an average speed of 50 km/h. He then drives from Newcastle to Durham, a distance of 65 km, at an average speed of 65 km/h.
(a)Calculate the time taken for each part of Ronan's journey.(2)
(b)Calculate Ronan's average speed for the whole journey, in km/h.(2)
(c)Ronan needs to arrive in Durham by 14:00 and leaves home at 12:15. Explain, with a reason, whether he will arrive on time.(2)
(Total for Question 20 is 6 marks)
21
A coach departs Hartley Green at 07:20 and is booked to arrive at Millfield Junction at 08:05. A connecting train departs Millfield Junction at 08:10 and arrives at Oakbridge at 08:52.
(a)The coach actually runs 8 minutes late. At what time does it now arrive at Millfield Junction?(1)
(b)Explain whether Jamie, who is travelling on the coach, will catch the connecting train to Oakbridge.(2)
(c)The next train departs Millfield Junction at 08:45 and takes the same journey time as the original train. At what time will Jamie now arrive at Oakbridge?(2)
(Total for Question 21 is 5 marks)
22
A coat is priced at 68 pounds. In a sale it is reduced by 15%.
(a)Calculate the sale price of the coat.(2)
(b)Fatima pays for the coat with three 20 pound notes. Calculate her change.(2)
(Total for Question 22 is 4 marks)
23
A garden hose fills a paddling pool at a constant rate. It takes 25 minutes to fill 375 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 paddling pool with a capacity of 540 litres. Give your answer in minutes.(2)
(Total for Question 23 is 4 marks)
24
Mrs Okafor needs to arrive at a wedding in Bath by 15:00. The distance from her home to Bath is 105 km. She plans to drive at an average speed of 70 km/h and will take one 20 minute break on the way. Petrol for the journey costs 0.16 pounds per km.
(a)Calculate the driving time for the journey, not including the break. Give your answer in hours and minutes.(2)
(b)Calculate the latest time Mrs Okafor must leave home in order to arrive by 15:00, including the break.(3)
(c)Calculate the total cost of petrol for the 105 km journey.(2)
(Total for Question 24 is 7 marks)
Mark scheme · EP.M31 Measurement, Money and Time Depth
Question 1
B1 B cao
Answer: B) 450 cm
Question 2
B1 B cao
Answer: B) 750 g
Question 3
(a) B1 3.8 litres cao
(a) Answer: 3.8 litres
(b) B1 2150 ml cao
(b) Answer: 2150 ml
Question 4
B1 400 g cao
Answer: 400 g
Question 5
B1 1.15 pounds cao (accept 115p)
Answer: 1.15 pounds
Question 6
B1 95 minutes cao
Answer: 95 minutes
Question 7
B1 6:40 pm oe
Answer: 6:40 pm
Question 8
M1 135 + 68 = 203 (cm) seen, using consistent units (oe)
A1 2.03 m cao
Answer: 2.03 m
Question 9
(a) B1 2 kg cao
(a) Answer: 2 kg
(b) B1 66 kg cao
(b) Answer: 66 kg
Question 10
M1 6 x 0.55 = 3.30 seen
M1 4 x 0.95 = 3.80 seen
A1 8.30 cao
Answer: 8.30 pounds
Question 11
(a) B1 09:12 cao
(a) Answer: 09:12
(b) M1 Identifies the next departure after 09:05 as 09:30
(b) A1 25 minutes cao
(b) Answer: 25 minutes
Question 12
M1 Converts 2 hours 30 minutes to 2.5 hours (oe)
A1 45 km cao
Answer: 45 km
Question 13
M1 126 / 84 (oe)
A1 1 hour 30 minutes oe
Answer: 1 hour 30 minutes
Question 14
M1 2 x (45 + 28) = 146 (m) seen (perimeter method)
M1 146 x 3.50 (oe, ft)
A1 511.00 pounds cao (ft)
Answer: 511.00 pounds
Question 15
M1 5000 / 750 (oe, converts litres to ml)
A1 6 cao
Answer: 6 bottles
Question 16
(a) M1 2.85 / 1.5 and 3.60 / 2 (oe method for both)
(a) A1 Shop A = 1.90 pounds/kg and Shop B = 1.80 pounds/kg, both cao
(a) Answer: Shop A 1.90 pounds/kg, Shop B 1.80 pounds/kg
(b) B1 Shop B, because it has a lower cost per kg (1.80 pounds < 1.90 pounds), ft from (a)
(b) Answer: Shop B
Question 17
(a) M1 Adds 3 hours to 21:15 to reach 00:15 the next day, or a complete equivalent method
(a) A1 00:55 cao
(a) Answer: 00:55
(b) B1 12:55 am oe, ft
(b) Answer: 12:55 am
Question 18
(a) M1 Converts 650 g to 0.65 kg (oe)
(a) A1 3.12 pounds cao
(a) Answer: 3.12 pounds
(b) M1 5.00 - their (a) (ft)
(b) A1 1.88 pounds cao (ft)
(b) Answer: 1.88 pounds
Question 19
M1 Converts all four lengths to a common unit, e.g. cm: 120, 95, 105, 108 (oe)
A1 95 cm, 1050 mm, 1 m 8 cm, 1.2 m cao
Answer: 95 cm, 1050 mm, 1 m 8 cm, 1.2 m
Question 20
(a) B1 30 minutes for the home to Newcastle leg
(a) B1 1 hour for the Newcastle to Durham leg
(a) Answer: Home to Newcastle: 30 minutes; Newcastle to Durham: 1 hour
(b) M1 Average speed = total distance / total time, ft (e.g. (25 + 65) / 1.5)
(b) A1 60 km/h cao
(b) Answer: 60 km/h
(c) M1 Adds the total journey time to 12:15, ft (e.g. 12:15 + 1:30 = 13:45)
(c) A1 Yes, with correct reason ft (13:45 is before 14:00, so he arrives with 15 minutes to spare)
(c) Answer: Yes; he arrives at 13:45, which is 15 minutes before 14:00.
Question 21
(a) B1 08:13 cao
(a) Answer: 08:13
(b) B1 No, ft from (a)
(b) B1 Correct reason: the coach now arrives at 08:13, which is 3 minutes after the train has already departed at 08:10
(b) Answer: No; the coach now arrives at 08:13, 3 minutes after the train has already left at 08:10.
(c) M1 Finds the original train's journey time is 08:52 - 08:10 = 42 minutes
(c) A1 09:27 cao
(c) Answer: 09:27
Question 22
(a) M1 10% of 68 = 6.80 and 5% = 3.40, so 15% = 10.20 (oe method)
(a) A1 57.80 cao
(a) Answer: 57.80 pounds
(b) M1 3 x 20 = 60 (oe) and 60 - their (a), ft
(b) A1 2.20 cao (ft)
(b) Answer: 2.20 pounds
Question 23
(a) M1 375 / 25 (oe)
(a) A1 15 litres per minute cao
(a) Answer: 15 litres per minute
(b) M1 540 / 15 (oe, using their rate ft from part a)
(b) A1 36 minutes cao
(b) Answer: 36 minutes
Question 24
(a) M1 105 / 70 (oe)
(a) A1 1 hour 30 minutes oe
(a) Answer: 1 hour 30 minutes
(b) M1 Adds the 20 minute break to their (a), ft, giving 1 hour 50 minutes