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11+ · GL ASSESSMENT

EP.M42 Worded Problems Set C

GL ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 60 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Priya buys a birthday card for £1.85 and a gift bag for £0.95. She pays with a £5 note. How much change does she get?

(Total for Question 1 is 1 mark)

A football training session starts at 17:30 and lasts 1 hour 15 minutes. What time does it finish?

(Total for Question 2 is 1 mark)

A parcel weighs 2.4 kg. What is this weight in grams?

(Total for Question 3 is 1 mark)

In a box of buttons, the ratio of red buttons to blue buttons is 5:3. There are 15 red buttons. How many blue buttons are there?

(Total for Question 4 is 1 mark)

Farah thinks of a number, adds 15, and the result is 34. What number did Farah think of?

(Total for Question 5 is 1 mark)

A pizza is cut into 8 equal slices. Chidi eats 3 slices. What fraction of the pizza is left?

(Total for Question 6 is 1 mark)

A cafe sells a sandwich for £3.40 and a smoothie for £2.75. Freddie buys 2 sandwiches and 1 smoothie. He pays with a £20 note. How much change does he receive?

(Total for Question 7 is 2 marks)

A ferry starts boarding at 13:05. Boarding takes 20 minutes, and the crossing itself takes 55 minutes. At what time does the ferry arrive?

(Total for Question 8 is 2 marks)

A water tank holds 18 litres. Tobias fills 6 identical bottles equally from the tank, and 3 litres are left in the tank. How many millilitres of water go into each bottle?

(Total for Question 9 is 2 marks)

Two garden plots share a delivery of fertiliser in the ratio 7:5. Altogether 96 kg of fertiliser is used. How many more kilograms does the larger plot receive than the smaller plot?

(Total for Question 10 is 2 marks)

The sum of two numbers is 58. One number is 12 more than the other. What are the two numbers?

(Total for Question 11 is 2 marks)

A charity receives 84 donated books. 2/7 of the books are cookbooks. How many of the books are not cookbooks?

(Total for Question 12 is 2 marks)

Petrol costs £1.48 per litre. Mrs Achebe puts 35 litres of petrol into her car. How much does this cost?

(Total for Question 13 is 2 marks)

Priti has a dentist appointment at 15:30. She wants to arrive 10 minutes early, and the journey there takes 25 minutes. What is the latest time she should leave home?

(Total for Question 14 is 2 marks)

A raffle prize fund of £84 is split between the first and second prize in the ratio 5:2. How much is the first prize worth?

(Total for Question 15 is 2 marks)

A number is multiplied by 4, then 9 is subtracted, giving an answer of 47. What is the number?

(Total for Question 16 is 2 marks)

A rectangular lawn measures 8 m by 5.5 m. Bev wants to spread fertiliser over the lawn, using 1 bag of fertiliser for every 11 square metres. How many bags of fertiliser does she need?

(Total for Question 17 is 2 marks)

6 identical notebooks cost £13.20 in total. How much would 10 of the same notebooks cost?

(Total for Question 18 is 2 marks)

A tank contains 45 litres of water. 2/9 of the water is used to fill a paddling pool. How many litres of water are left in the tank?

(Total for Question 19 is 2 marks)

Kemi's grandfather is 3 years more than 4 times Kemi's age. Kemi's grandfather is 71 years old. How old is Kemi?

(Total for Question 20 is 2 marks)

In a class of 32 pupils, 3/8 walk to school, 1/4 come by bus, and the rest are driven by car. How many pupils are driven by car?

(Total for Question 21 is 3 marks)

A garden centre sells trays of bedding plants. Each tray normally costs £4.80. There is an offer: buy 3 trays and get a 4th tray free.

(a)Using the offer, Dev buys 4 trays. How much does he pay?(1)

(b)Using the same offer, how much would 8 trays cost in total?(2)

(Total for Question 22 is 3 marks)

On 05/10, a minibus leaves school at 08:15 to take pupils to an outdoor centre 66 km away. It travels the first 44 km at an average speed of 44 km/h, then stops for a 20 minute rest break.

(a)At what time does the minibus finish the first 44 km, before the break?(1)

(b)The minibus then covers the remaining distance at an average speed of 33 km/h. At what time does it arrive at the outdoor centre?(2)

(Total for Question 23 is 3 marks)

A school allotment produces 210 kg of vegetables in total. 2/5 of this is potatoes, and the remainder is shared between carrots and onions in the ratio 3:4.

(a)How many kilograms of potatoes are produced?(1)

(b)How many kilograms of onions are produced?(3)

(Total for Question 24 is 4 marks)

A stationery shop arranges pens into boxes, with the same number of pens in each box. There are 9 boxes. If 4 more pens were put into each box, the shop would have 198 pens in total.

(a)How many pens are currently in each box?(2)

(b)How many pens does the shop currently have in total?(1)

(c)If instead 3 of the boxes were removed entirely (keeping 18 pens in each remaining box), how many pens would remain?(1)

(Total for Question 25 is 4 marks)

Mark scheme · EP.M42 Worded Problems Set C

Question 1

B1 £2.20, from £5.00 - £2.80
Answer: £2.20

Question 2

B1 18:45
Answer: 18:45

Question 3

B1 2400 g, with correct conversion 1 kg = 1000 g
Answer: 2400 g

Question 4

B1 9 blue buttons, with correct scaling shown or implied
Answer: 9 blue buttons

Question 5

B1 19
Answer: 19

Question 6

B1 5/8
Answer: 5/8

Question 7

M1 finds total cost 2 x £3.40 + £2.75 = £9.55
A1 £10.45, from £20.00 - £9.55
Answer: £10.45

Question 8

M1 finds departure time after boarding = 13:05 + 0:20 = 13:25
A1 14:20, after adding the 55 minute crossing
Answer: 14:20

Question 9

M1 finds water used = 18 - 3 = 15 litres, shared between 6 bottles
A1 2500 ml, from 15 / 6 = 2.5 litres per bottle
Answer: 2500 ml

Question 10

M1 total parts = 12, one part = 96 / 12 = 8 kg
A1 16 kg, from (7 - 5) x 8 or 56 - 40
Answer: 16 kg

Question 11

M1 sets up 2x + 12 = 58, or equivalent, and finds 2x = 46
A1 23 and 35
Answer: 23 and 35

Question 12

M1 finds cookbooks = 2/7 x 84 = 24
A1 60 books
Answer: 60 books

Question 13

M1 sets up 1.48 x 35, for example as 1.48 x 30 + 1.48 x 5
A1 £51.80
Answer: £51.80

Question 14

M1 finds target arrival time = 15:30 - 0:10 = 15:20
A1 14:55, after subtracting the 25 minute journey
Answer: 14:55

Question 15

M1 total parts = 7, one part = 84 / 7 = £12
A1 £60, from 5 x £12
Answer: £60

Question 16

M1 sets up 4x - 9 = 47, or equivalent, and finds 4x = 56
A1 14
Answer: 14

Question 17

M1 finds the area of the lawn = 8 x 5.5 = 44 m²
A1 4 bags, from 44 / 11
Answer: 4 bags

Question 18

M1 finds the cost of 1 notebook = 13.20 / 6 = £2.20
A1 £22.00, from 10 x £2.20
Answer: £22.00

Question 19

M1 finds water used = 2/9 x 45 = 10 litres
A1 35 litres
Answer: 35 litres

Question 20

M1 sets up 4x + 3 = 71, or equivalent, and finds 4x = 68
A1 17 years old
Answer: 17 years old

Question 21

M1 finds pupils who walk = 3/8 x 32 = 12
M1 finds pupils who come by bus = 1/4 x 32 = 8
A1 12 pupils, from 32 - 12 - 8
Answer: 12 pupils

Question 22

(a) B1 £14.40, from paying for 3 trays (3 x £4.80)
(a) Answer: £14.40
(b) M1 recognises that 8 trays under the offer means paying for 6 trays (two lots of 3 paid + 1 free)
(b) A1 £28.80, from 6 x £4.80
(b) Answer: £28.80

Question 23

(a) B1 09:15
(a) Answer: 09:15
(b) M1 finds the time after the break (09:15 + 0:20 = 09:35) and the remaining journey time (22 / 33 = 2/3 hour = 40 minutes)
(b) A1 10:15
(b) Answer: 10:15

Question 24

(a) B1 84 kg, from 2/5 x 210
(a) Answer: 84 kg
(b) M1 finds the remainder = 210 - 84 = 126 kg
(b) M1 finds total ratio parts = 7, one part = 126 / 7 = 18 kg
(b) A1 72 kg, from 4 x 18
(b) Answer: 72 kg

Question 25

(a) M1 198 / 9 = 22 (pens per box if 4 more were added)
(a) A1 18 pens per box
(a) Answer: 18 pens per box
(b) B1 162 pens
(b) Answer: 162 pens
(c) B1 108 pens
(c) Answer: 108 pens

Worded Problems Set C - Worksheets, Questions and Revision