CSSE-Style Maths Mock 5 (Essex) - Worksheets, Questions and Revision

30 original exam-style questions - 9 pages of questions with a full mark scheme - free printable PDF.

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11+ · CSSE

EP.T43 CSSE-Style Maths Mock 5 (Essex)

CSSE EP.T43 · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
CSSE-style Mathematics Mock 5 - Essex 11+. SECTION A: MATHEMATICS (60 minutes - this is the only section in the paper). Write your answers, with full working, in the space provided; method marks (M1) are awarded for correct working even where the final answer is wrong. Calculators are NOT allowed. You have 60 minutes to attempt all 30 questions, worth 89 marks in total. This is a different set of questions from Mock 1 (EP.T4), Mock 2 (EP.T15), Mock 3 (EP.T19) and Mock 4 (EP.T29). The questions get harder as the paper goes on - the final five are genuine problem-solving puzzles designed to stretch even strong candidates, so keep an eye on the clock and do not spend too long on any one question.
1
SECTION A: MATHEMATICS (60 minutes - this paper has one section). This is a different set of questions from Mock 1 (EP.T4), Mock 2 (EP.T15), Mock 3 (EP.T19) and Mock 4 (EP.T29). Work out (9 + 6) x 3 - 8, using the correct order of operations.
(Total for Question 1 is 1 mark)
2
Write the number eight thousand and thirty-seven in figures.
(Total for Question 2 is 1 mark)
3
Round 7364 to the nearest hundred.
(Total for Question 3 is 1 mark)
4
Work out 5000 - 2867.
(Total for Question 4 is 2 marks)
5
Work out 63 x 8.
(Total for Question 5 is 2 marks)
6
Work out 245 / 7.
(Total for Question 6 is 2 marks)
7
Find 3/7 of 84.
(Total for Question 7 is 2 marks)
8
Work out 5.8 x 4.
(Total for Question 8 is 2 marks)
9
The temperature in Manningtree at 7 a.m. one winter morning was -8 degrees C. By 2 p.m. it had risen by 11 degrees C. Work out the temperature at 2 p.m.
(Total for Question 9 is 2 marks)
10
A games console in a Clacton-on-Sea shop costs £180 before a price increase of 15%.
(a)Work out 15% of £180.(2)
(b)Work out the new price of the console after the increase.(1)
(Total for Question 10 is 3 marks)
11
Priya has 54 red beads and 72 blue beads. She wants to put them into identical bags so that each bag has the same number of red beads and the same number of blue beads, with none left over. Work out the greatest number of bags she can make.
(Total for Question 11 is 3 marks)
12
Zara and Femi share 108 stickers in the ratio 7 : 5. After sharing, Femi gives 9 of his stickers to Zara. How many stickers does Zara have now?
(Total for Question 12 is 3 marks)
13
Work out √225 + 42.
(Total for Question 13 is 2 marks)
14
Solve the equation 6x - 11 = 37 to find the value of x.
(Total for Question 14 is 3 marks)
15
In a quadrilateral, three of the angles are 102 degrees, 85 degrees and 68 degrees.
(a)Work out the size of the fourth angle.(2)
(b)Could this quadrilateral be a rectangle? Give a reason for your answer.(1)
(Total for Question 15 is 3 marks)
16
A vegetable patch can be thought of as a rectangle measuring 14 m by 9 m with a rectangular section measuring 6 m by 4 m removed.
(a)Work out the area of the patch.(3)
(b)Compost costs £3.80 per square metre. Work out the total cost of covering the patch with compost.(1)
(Total for Question 16 is 4 marks)
17
A storage box is a cuboid measuring 25 cm by 12 cm by 30 cm. Work out the volume of the box.
(Total for Question 17 is 3 marks)
18
A train timetable at Frinton-on-Sea shows a service departs at 11:26 and the journey takes 1 hour 48 minutes.
(a)At what time does the train arrive?(1)
(b)The return service departs 42 minutes after the train arrives, and takes the same journey time. At what time does the return service arrive back?(2)
(Total for Question 18 is 3 marks)
19
Tariq buys 4 pencils at 45p each and a rubber for £1.35 from a shop in Coggeshall. He pays with a £5 note. How much change does he get?
(Total for Question 19 is 2 marks)
20
A pattern is made from matchsticks arranged in a row of joined pentagons. Pattern 1 uses 5 matchsticks (1 pentagon), Pattern 2 uses 9 matchsticks (2 pentagons), and Pattern 3 uses 13 matchsticks (3 pentagons).
(a)How many matchsticks are needed for Pattern 6?(1)
(b)Find an expression, in terms of n, for the number of matchsticks in Pattern n.(2)
(Total for Question 20 is 3 marks)
21
The number of goals scored by a netball team in 9 matches were: 6, 2, 9, 6, 4, 11, 6, 3, 8.
(a)Find the mode of the number of goals scored.(1)
(b)Find the median of the number of goals scored.(1)
(c)Find the range of the number of goals scored.(1)
(Total for Question 21 is 3 marks)
22
A bag contains 7 pink counters, 5 black counters and 8 grey counters. A counter is picked at random from the bag.
(a)Work out the probability that the counter is black. Give your answer as a fraction in its simplest form.(2)
(b)Work out the probability that the counter is NOT grey.(1)
(Total for Question 22 is 3 marks)
23
A walker travels from Tiptree to Kelvedon, a distance of 9 km, at an average speed of 6 km/h.
(a)Work out how long the journey takes. Give your answer in hours and minutes.(2)
(b)She sets off at 09:55. At what time does she arrive in Kelvedon?(2)
(Total for Question 23 is 4 marks)
24
Buses to Wickford leave a station every 24 minutes, and buses to Rayleigh leave the same station every 16 minutes. Both a Wickford bus and a Rayleigh bus leave together at 08:15.
(a)Work out how many minutes later the two buses next leave together again.(3)
(b)At what clock time do the two buses next leave together?(1)
(Total for Question 24 is 4 marks)
25
A sofa in a Braintree furniture store was priced at £720. In May the price was reduced by 25%. In June the new price was reduced by a further 12%.
(a)Work out the price after the May reduction.(2)
(b)Work out the price after the June reduction.(2)
(Total for Question 25 is 4 marks)
26
A three-digit number has a digit sum of 14. Its hundreds digit and its units digit are equal. Its tens digit is 4 less than its units digit. Find the three-digit number, showing your reasoning clearly.
(Total for Question 26 is 4 marks)
27
At a farm shop near Halstead, 5 punnets of strawberries and 2 punnets of blueberries cost £13.60 in total. 3 punnets of strawberries and 4 punnets of blueberries cost £13.20 in total. All strawberry punnets cost the same as each other, and all blueberry punnets cost the same as each other. Find the cost of one punnet of strawberries and the cost of one punnet of blueberries.
(Total for Question 27 is 5 marks)
28
Two hikers, one from Saffron Walden and one from Thaxted, start at the same time and walk towards each other along the same 33 km route. The Saffron Walden hiker walks at a constant 5 km/h and the Thaxted hiker walks at a constant 6 km/h.
(a)Work out how long it takes for the two hikers to meet. Give your answer in minutes.(3)
(b)Work out the distance from Saffron Walden at which the two hikers meet.(2)
(Total for Question 28 is 5 marks)
29
A delivery van travels from a depot in Grays to a warehouse in Purfleet, a distance of 15 km, at an average speed of 30 km/h. It then returns from Purfleet to Grays along the same road at an average speed of 20 km/h.
(a)Work out the total time taken for the whole journey. Give your answer in hours.(3)
(b)Work out the average speed for the whole journey (there and back), in km/h.(2)
(Total for Question 29 is 5 marks)
30
Six friends - Priya, Ravi, Sana, Tom, Zoe and Ben - each collected a different number of shells: 6, 9, 12, 15, 18 and 21, in some order. Sana collected exactly three times as many shells as Ravi. Zoe collected 9 more shells than Tom. Ben collected fewer shells than Priya. Work out how many shells each friend collected, showing your reasoning clearly.
(Total for Question 30 is 5 marks)
Mark scheme · EP.T43 CSSE-Style Maths Mock 5 (Essex)

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

Question 26

Question 27

Question 28

Question 29

Question 30