Freya buys a birthday card for £2.30 and a small gift bag for £1.45. She pays with a £5 note. How much change does she get?
(Total for Question 1 is 1 mark)
2
A gymnastics class starts at 10:15 and lasts 50 minutes. What time does it finish?
(Total for Question 2 is 1 mark)
3
A bag of rice weighs 2.75 kg. What is this weight in grams?
(Total for Question 3 is 1 mark)
4
In a bag of sweets, the ratio of red sweets to green sweets is 5:2. There are 20 red sweets. How many green sweets are there?
(Total for Question 4 is 1 mark)
5
Zainab thinks of a number, adds 17, and the result is 42. What number did Zainab think of?
(Total for Question 5 is 1 mark)
6
A flapjack tray is cut into 12 equal pieces. Ronan eats 5 pieces. What fraction of the tray is left, in its simplest form?
(Total for Question 6 is 1 mark)
7
A cafe sells a bagel for £2.60 and a juice for £1.85. Malachi buys 2 bagels and 1 juice. He pays with a £10 note. How much change does he receive?
(Total for Question 7 is 2 marks)
8
A drama workshop starts at 11:40 and lasts 1 hour 25 minutes. The group then has a 20 minute break before rehearsals begin. What time do rehearsals begin?
(Total for Question 8 is 2 marks)
9
A bottle holds 2.4 litres of juice. Nadia pours the juice equally into 8 identical cups. How many millilitres of juice go into each cup?
(Total for Question 9 is 2 marks)
10
A backpack usually costs £52. In a sale, 1/4 is taken off the price. What is the sale price?
(Total for Question 10 is 2 marks)
11
Four friends have a mean of £12 in their piggy banks. Wilf, Aisha and Tomasz have £9, £14 and £10. How much does the fourth friend, Delphine, have?
(Total for Question 11 is 2 marks)
12
A charity receives 108 donated toys. 1/6 of the toys are teddy bears. How many of the toys are not teddy bears?
(Total for Question 12 is 2 marks)
13
Unleaded petrol costs £1.56 per litre. Mr Adeyemi puts 25 litres of petrol into his car. How much does this cost?
(Total for Question 13 is 2 marks)
14
Priya has an orthodontist appointment at 16:10. She wants to arrive 12 minutes early, and the journey there takes 33 minutes. What is the latest time she should leave home?
(Total for Question 14 is 2 marks)
15
A fun run raises £108, split between two local charities in the ratio 5:4. How much does the charity with the smaller share receive?
(Total for Question 15 is 2 marks)
16
A number is multiplied by 7, then 6 is added, giving an answer of 62. What is the number?
(Total for Question 16 is 2 marks)
17
A rectangular flower bed measures 7 m by 4.5 m. Efe wants to spread mulch over the bed, using 1 bag of mulch for every 3.5 square metres. How many bags of mulch does she need?
(Total for Question 17 is 2 marks)
18
9 identical rulers cost £11.70 in total. How much would 4 of the same rulers cost?
(Total for Question 18 is 2 marks)
19
A water butt contains 54 litres of water. 2/9 of the water is used to fill a watering can. How many litres of water are left in the water butt?
(Total for Question 19 is 2 marks)
20
Grace's aunt is 7 years more than 3 times Grace's age. Grace's aunt is 40 years old. How old is Grace?
(Total for Question 20 is 2 marks)
21
In a class of 36 pupils, 1/3 walk to school, 5/12 come by bus, and the rest cycle. How many pupils cycle?
(Total for Question 21 is 3 marks)
22
A bakery sells muffins. Each muffin normally costs £1.60. There is an offer: buy 2 muffins and get a 3rd muffin at half price.
(a)Using the offer, Idris buys 3 muffins. How much does he pay?(1)
(b)Using the same offer, how much would 9 muffins cost in total?(2)
(Total for Question 22 is 3 marks)
23
On 14/11, a coach leaves a school at 08:05 for a trip to an aquarium 91 km away. It travels the first 56 km at an average speed of 42 km/h, then stops for a 15 minute break.
(a)At what time does the coach finish the first 56 km, before the break?(1)
(b)The coach then covers the remaining distance at an average speed of 30 km/h. At what time does it arrive at the aquarium?(2)
(Total for Question 23 is 3 marks)
24
An allotment produces 240 kg of vegetables in total. 5/12 of this is potatoes, and the remainder is shared between leeks and carrots in the ratio 2:3.
(a)How many kilograms of potatoes are produced?(1)
(b)How many kilograms of carrots are produced?(3)
(Total for Question 24 is 4 marks)
25
At 09:00, Elif leaves home and cycles along a straight cycle path at a steady speed of 8 km/h. At 09:15, her brother Kasper leaves the same house and cycles along the same path at a steady speed of 12 km/h, chasing after Elif.
(a)How far ahead of Kasper is Elif when Kasper sets off, in km?(1)
(b)At what time does Kasper catch up with Elif?(3)
(Total for Question 25 is 4 marks)
Mark scheme · EP.M81 Worded Problems Set E
Question 1
B1 £1.25, from £5.00 - £3.75
Answer: £1.25
Question 2
B1 11:05
Answer: 11:05
Question 3
B1 2750 g, with correct conversion 1 kg = 1000 g
Answer: 2750 g
Question 4
B1 8 green sweets, with correct scaling shown or implied
Answer: 8 green sweets
Question 5
B1 25
Answer: 25
Question 6
B1 7/12
Answer: 7/12
Question 7
M1 finds total cost 2 x £2.60 + £1.85 = £7.05
A1 £2.95, from £10.00 - £7.05
Answer: £2.95
Question 8
M1 finds the end of the workshop = 11:40 + 1:25 = 13:05
A1 13:25, after adding the 20 minute break
Answer: 13:25
Question 9
M1 converts 2.4 litres to 2400 ml
A1 300 ml, from 2400 / 8
Answer: 300 ml
Question 10
M1 finds the discount = 52 / 4 = £13
A1 £39
Answer: £39
Question 11
M1 total = 4 x 12 = 48; known total = 9 + 14 + 10 = 33
A1 £15, from 48 - 33
Answer: £15
Question 12
M1 finds teddy bears = 1/6 x 108 = 18
A1 90 toys
Answer: 90 toys
Question 13
M1 sets up 1.56 x 25, for example as 1.56 x 100 / 4