Worded Problems Set E - Worksheets, Questions and Revision

25 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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11+ · GL ASSESSMENT

EP.M81 Worded Problems Set E

GL ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
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

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