Ibrahim buys a comic for £2.15 and a bag of sweets for £0.60. He pays with a £5 note. How much change does he get?
(Total for Question 1 is 1 mark)
2
A swimming gala starts at 09:40 and lasts 55 minutes. What time does it finish?
(Total for Question 2 is 1 mark)
3
A packet of flour weighs 1.5 kg. What is this weight in grams?
(Total for Question 3 is 1 mark)
4
In a fruit basket, the ratio of bananas to apples is 4:3. There are 12 bananas. How many apples are there?
(Total for Question 4 is 1 mark)
5
Niamh thinks of a number, subtracts 8, and the result is 27. What number did Niamh think of?
(Total for Question 5 is 1 mark)
6
A cake is cut into 10 equal slices. Osian eats 4 slices. What fraction of the cake is left, in its simplest form?
(Total for Question 6 is 1 mark)
7
Chidinma buys 3 magazines at £2.45 each and a chocolate bar for £0.85. She pays with a £10 note. How much change does she receive?
(Total for Question 7 is 2 marks)
8
A yoga class starts at 18:15 and lasts 1 hour 10 minutes. The instructor then spends 15 minutes tidying the studio before locking up. What time does she lock up?
(Total for Question 8 is 2 marks)
9
A tank holds 24 litres of water. Bethan fills 8 identical bottles equally from the tank, and 4 litres are left in the tank. How many millilitres of water go into each bottle?
(Total for Question 9 is 2 marks)
10
Two allotments share a delivery of manure in the ratio 5:3. Altogether 64 kg of manure is used. How many more kilograms does the larger allotment receive than the smaller allotment?
(Total for Question 10 is 2 marks)
11
The sum of two numbers is 46. One number is 8 more than the other. What are the two numbers?
(Total for Question 11 is 2 marks)
12
A bookshop receives 96 new books. 3/8 of the books are fiction. How many of the books are not fiction?
(Total for Question 12 is 2 marks)
13
Diesel costs £1.52 per litre. Mr Kowalski puts 30 litres of diesel into his van. How much does this cost?
(Total for Question 13 is 2 marks)
14
Reuben has a train to catch at 07:52. He wants to arrive 8 minutes early, and the walk to the station takes 17 minutes. What is the latest time he should leave home?
(Total for Question 14 is 2 marks)
15
A prize fund of £96 is split between the winner and the runner-up in the ratio 5:3. How much is the runner-up's prize worth?
(Total for Question 15 is 2 marks)
16
A number is multiplied by 6, then 11 is subtracted, giving an answer of 43. What is the number?
(Total for Question 16 is 2 marks)
17
A rectangular allotment measures 9 m by 6 m. Safiya wants to spread compost over the allotment, using 1 bag of compost for every 9 square metres. How many bags of compost does she need?
(Total for Question 17 is 2 marks)
18
8 identical exercise books cost £11.20 in total. How much would 5 of the same exercise books cost?
(Total for Question 18 is 2 marks)
19
A barrel contains 36 litres of water. 5/9 of the water is used to fill a paddling pool. How many litres of water are left in the barrel?
(Total for Question 19 is 2 marks)
20
Idris's uncle is 5 years more than 3 times Idris's age. Idris's uncle is 44 years old. How old is Idris?
(Total for Question 20 is 2 marks)
21
In a survey of 40 pupils, 1/5 walk to school, 3/8 come by bus, and the rest cycle. How many pupils cycle?
(Total for Question 21 is 3 marks)
22
A garden centre sells bags of compost. Each bag normally costs £3.60. There is an offer: buy 2 bags at full price and get a 3rd bag at half price.
(a)Using the offer, Kacper buys 3 bags. How much does he pay?(1)
(b)Using the same offer, how much would 6 bags cost in total?(2)
(Total for Question 22 is 3 marks)
23
On 11/09, a coach leaves a school at 08:30 for a trip to a castle 105 km away. It travels the first 63 km at an average speed of 42 km/h, then stops for a 10 minute break.
(a)At what time does the coach finish the first 63 km, before the break?(1)
(b)The coach then covers the remaining distance at an average speed of 35 km/h. At what time does it arrive at the castle?(2)
(Total for Question 23 is 3 marks)
24
A market stall's takings for the day are shared between three sellers, Layla, Mohammed and Anisa, in the ratio 3:5:4. The total takings are £360.
(a)How much does Mohammed receive?(2)
(b)Mohammed spends 2/5 of his share on new stock for the next market. How much does he have left?(2)
(Total for Question 24 is 4 marks)
25
Jasmine drives 84 km to visit her cousin. Her car uses 6 litres of petrol for every 40 km she drives.
(a)How many litres of petrol does she use for the whole 84 km journey?(2)
(b)Petrol costs £1.45 per litre. What is the total cost of the petrol used for the journey?(2)
(Total for Question 25 is 4 marks)
Mark scheme · EP.M70 Worded Problems Set D
Question 1
B1 £2.25, from £5.00 - £2.75
Answer: £2.25
Question 2
B1 10:35
Answer: 10:35
Question 3
B1 1500 g, with correct conversion 1 kg = 1000 g
Answer: 1500 g
Question 4
B1 9 apples, with correct scaling shown or implied
Answer: 9 apples
Question 5
B1 35
Answer: 35
Question 6
B1 3/5 (oe, e.g. 6/10 unsimplified)
Answer: 3/5
Question 7
M1 finds total cost 3 x £2.45 + £0.85 = £8.20
A1 £1.80, from £10.00 - £8.20
Answer: £1.80
Question 8
M1 finds the end of the class = 18:15 + 1:10 = 19:25
A1 19:40, after adding the 15 minutes tidying
Answer: 19:40
Question 9
M1 finds water used = 24 - 4 = 20 litres, shared between 8 bottles
A1 2500 ml, from 20 / 8 = 2.5 litres per bottle
Answer: 2500 ml
Question 10
M1 total parts = 8, one part = 64 / 8 = 8 kg
A1 16 kg, from (5 - 3) x 8 or 40 - 24
Answer: 16 kg
Question 11
M1 sets up 2x + 8 = 46, or equivalent, and finds 2x = 38
A1 19 and 27
Answer: 19 and 27
Question 12
M1 finds fiction books = 3/8 x 96 = 36
A1 60 books
Answer: 60 books
Question 13
M1 sets up 1.52 x 30, for example as 1.52 x 3 x 10