CSSE-Style Maths Mock 4 (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.T29 CSSE-Style Maths Mock 4 (Essex)

CSSE EP.T29 · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
CSSE-style Mathematics Mock 4 - 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 88 marks in total. This is a different set of questions from Mock 1 (EP.T4), Mock 2 (EP.T15) and Mock 3 (EP.T19). 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) and Mock 3 (EP.T19). Work out (7 + 3) x 4 - 5, using the correct order of operations.
(Total for Question 1 is 1 mark)
2
Write the number nine thousand and twenty-three in figures.
(Total for Question 2 is 1 mark)
3
Round 5384 to the nearest hundred.
(Total for Question 3 is 1 mark)
4
Work out 7000 - 2648.
(Total for Question 4 is 2 marks)
5
Work out 56 x 7.
(Total for Question 5 is 2 marks)
6
Work out 216 / 9.
(Total for Question 6 is 2 marks)
7
Find 5/9 of 108.
(Total for Question 7 is 2 marks)
8
Work out 4.6 x 5.
(Total for Question 8 is 2 marks)
9
The temperature in Halstead at 6 a.m. one winter morning was -6 degrees C. By 1 p.m. it had risen by 9 degrees C. Work out the temperature at 1 p.m.
(Total for Question 9 is 2 marks)
10
A tablet computer in a Basildon shop costs £220 before a price increase of 12%.
(a)Work out 12% of £220.(2)
(b)Work out the new price of the tablet after the increase.(1)
(Total for Question 10 is 3 marks)
11
Yusuf has 42 green marbles and 56 yellow marbles. He wants to put them into identical bags so that each bag has the same number of green marbles and the same number of yellow marbles, with none left over. Work out the greatest number of bags he can make.
(Total for Question 11 is 3 marks)
12
Rosa and Tariq share 96 conkers in the ratio 5 : 3. After sharing, Tariq gives 8 of his conkers to Rosa. How many conkers does Rosa have now?
(Total for Question 12 is 3 marks)
13
Work out √196 + 32.
(Total for Question 13 is 2 marks)
14
Solve the equation 5x - 8 = 27 to find the value of x.
(Total for Question 14 is 3 marks)
15
In a quadrilateral, three of the angles are 95 degrees, 120 degrees and 64 degrees.
(a)Work out the size of the fourth angle.(2)
(b)Could this quadrilateral be a square? Give a reason for your answer.(1)
(Total for Question 15 is 3 marks)
16
A patio can be thought of as a rectangle measuring 12 m by 8 m with a rectangular section measuring 5 m by 3 m removed.
(a)Work out the area of the patio.(3)
(b)Paving costs £5.20 per square metre. Work out the total cost of paving the patio.(1)
(Total for Question 16 is 4 marks)
17
A shipping crate is a cuboid measuring 20 cm by 15 cm by 40 cm. Work out the volume of the crate.
(Total for Question 17 is 3 marks)
18
A ferry timetable at Tilbury shows a sailing departs at 13:48 and the crossing takes 2 hours 15 minutes.
(a)At what time does the ferry arrive?(1)
(b)The return sailing departs 35 minutes after the ferry arrives, and takes the same crossing time. At what time does the return sailing arrive back?(2)
(Total for Question 18 is 3 marks)
19
Chioma buys 3 notebooks at 85p each and a highlighter for £1.65 from a shop in Grays. She pays with a £10 note. How much change does she get?
(Total for Question 19 is 2 marks)
20
A pattern is made from matchsticks arranged in a row of joined triangles. Pattern 1 uses 3 matchsticks (1 triangle), Pattern 2 uses 5 matchsticks (2 triangles), and Pattern 3 uses 7 matchsticks (3 triangles).
(a)How many matchsticks are needed for Pattern 7?(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 books borrowed from a school library each day over 9 days were: 5, 12, 8, 5, 15, 9, 5, 10, 7.
(a)Find the mode of the number of books borrowed.(1)
(b)Find the median of the number of books borrowed.(1)
(c)Find the range of the number of books borrowed.(1)
(Total for Question 21 is 3 marks)
22
A bag contains 6 orange counters, 4 purple counters and 5 white counters. A counter is picked at random from the bag.
(a)Work out the probability that the counter is purple. Give your answer as a fraction in its simplest form.(2)
(b)Work out the probability that the counter is NOT white.(1)
(Total for Question 22 is 3 marks)
23
A runner travels from Loughton to Epping, a distance of 21 km, at an average speed of 14 km/h.
(a)Work out how long the journey takes. Give your answer in hours and minutes.(2)
(b)The runner sets off at 08:40. At what time does she arrive in Epping?(2)
(Total for Question 23 is 4 marks)
24
Buses to Braintree leave a station every 18 minutes, and buses to Halstead leave the same station every 30 minutes. Both a Braintree bus and a Halstead bus leave together at 09:00.
(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 Chelmsford furniture store was priced at £650. In March the price was reduced by 20%. In April the new price was reduced by a further 10%.
(a)Work out the price after the March reduction.(2)
(b)Work out the price after the April reduction.(2)
(Total for Question 25 is 4 marks)
26
A three-digit number has a digit sum of 19. The hundreds digit is twice the tens digit. The units digit is 3 more than the tens digit. Find the three-digit number, showing your reasoning clearly.
(Total for Question 26 is 4 marks)
27
At a market stall in Wivenhoe, 4 mangoes and 3 avocados cost £6.35 in total. 2 mangoes and 5 avocados cost £6.15 in total. All mangoes cost the same as each other, and all avocados cost the same as each other. Find the cost of one mango and the cost of one avocado.
(Total for Question 27 is 5 marks)
28
Two cyclists, one from Colchester and one from Sudbury, start at the same time and travel towards each other along the same 72 km route. The Colchester cyclist rides at a constant 26 km/h and the Sudbury cyclist rides at a constant 22 km/h.
(a)Work out how long it takes for the two cyclists to meet. Give your answer in minutes.(3)
(b)Work out the distance from Colchester at which the two cyclists meet.(2)
(Total for Question 28 is 5 marks)
29
At a badminton club social evening, every member plays exactly one singles match against every other member. There are 14 members at the evening.
(a)Work out the total number of matches that take place.(3)
(b)If 4 members leave early, before any matches take place, how many matches take place among the remaining members?(1)
(Total for Question 29 is 4 marks)
30
Five friends - Amara, Bilal, Chioma, Dylan and Esme - each collected a different number of conkers: 12, 15, 18, 21 and 24, in some order. Chioma collected exactly twice as many conkers as Bilal. Esme collected 6 more conkers than Dylan. Work out how many conkers each friend collected, showing your reasoning clearly.
(Total for Question 30 is 5 marks)
Mark scheme · EP.T29 CSSE-Style Maths Mock 4 (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