CSSE-Style Maths Mock 3 (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.T19 CSSE-Style Maths Mock 3 (Essex)

CSSE EP.T19 · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
CSSE-style Mathematics Mock 3 - 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) and Mock 2 (EP.T15). 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 and Mock 2. Work out 6 + 4 x 3 - 2, using the correct order of operations.
(Total for Question 1 is 1 mark)
2
Write the number seven thousand and sixteen in figures.
(Total for Question 2 is 1 mark)
3
Round 4637 to the nearest 10.
(Total for Question 3 is 1 mark)
4
Work out 8000 - 3457.
(Total for Question 4 is 2 marks)
5
Work out 47 x 8.
(Total for Question 5 is 2 marks)
6
Work out 184 / 8.
(Total for Question 6 is 2 marks)
7
Find 5/6 of 90.
(Total for Question 7 is 2 marks)
8
Work out 3.4 x 6.
(Total for Question 8 is 2 marks)
9
The temperature in Colchester at 6 a.m. one winter morning was -4 degrees C. By midday it had risen by 11 degrees C. Work out the temperature at midday.
(Total for Question 9 is 2 marks)
10
A laptop in a Chelmsford computer shop costs £340 before a price increase of 8%.
(a)Work out 8% of £340.(2)
(b)Work out the new price of the laptop after the increase.(1)
(Total for Question 10 is 3 marks)
11
Zaid has 36 red pencils and 48 blue pencils. He wants to put them into identical bags so that each bag has the same number of red pencils and the same number of blue pencils, with none left over. Work out the greatest number of bags he can make.
(Total for Question 11 is 3 marks)
12
Mia and Kwame share a bag of 72 sweets in the ratio 5 : 3. After sharing, Mia gives 6 of her sweets to Kwame. How many sweets does Kwame have now?
(Total for Question 12 is 3 marks)
13
Work out √169 - 23.
(Total for Question 13 is 2 marks)
14
Solve the equation 4x - 9 = 23 to find the value of x.
(Total for Question 14 is 3 marks)
15
In a quadrilateral, three of the angles are 108 degrees, 75 degrees and 89 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
An L-shaped lawn can be thought of as a rectangle measuring 10 m by 7 m with a rectangular corner measuring 4 m by 3 m removed.
(a)Work out the area of the L-shaped lawn.(3)
(b)Turf costs £4.50 per square metre. Work out the total cost of turfing the lawn.(1)
(Total for Question 16 is 4 marks)
17
A cereal box is a cuboid measuring 24 cm by 8 cm by 30 cm. Work out the volume of the box.
(Total for Question 17 is 3 marks)
18
A ferry timetable at Harwich shows a sailing departs at 14:35 and the crossing takes 1 hour 50 minutes.
(a)At what time does the ferry arrive?(1)
(b)The return sailing departs 45 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
Divya buys 4 pens at 65p each and a ruler for £1.15 from a shop in Witham. She pays with a £5 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 squares. Pattern 1 uses 4 matchsticks (1 square), Pattern 2 uses 7 matchsticks (2 squares), and Pattern 3 uses 10 matchsticks (3 squares).
(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 hockey team in 9 matches were: 1, 3, 2, 1, 5, 3, 1, 4, 2.
(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 5 red counters, 3 blue counters and 4 green counters. A counter is picked at random from the bag.
(a)Work out the probability that the counter is blue. Give your answer as a fraction in its simplest form.(2)
(b)Work out the probability that the counter is NOT green.(1)
(Total for Question 22 is 3 marks)
23
A cyclist travels from Maldon to Colchester, a distance of 27 km, at an average speed of 18 km/h.
(a)Work out how long the journey takes. Give your answer in hours and minutes.(2)
(b)The cyclist sets off at 09:50. At what time does she arrive in Colchester?(2)
(Total for Question 23 is 4 marks)
24
Buses to Grays leave a station every 15 minutes, and buses to Tilbury leave the same station every 24 minutes. Both a Grays bus and a Tilbury bus leave together at 08:00.
(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 car in a Basildon dealership was priced at £8000. In January the price was reduced by 10%. In February the new price was reduced by a further 5%.
(a)Work out the price after the January reduction.(2)
(b)Work out the price after the February reduction.(2)
(Total for Question 25 is 4 marks)
26
A three-digit number has digits with a digit sum of 15. The hundreds digit is twice the units digit. The tens digit is 3 more than the units digit. Find the three-digit number, showing your reasoning clearly.
(Total for Question 26 is 4 marks)
27
At a market stall in Rayleigh, 3 apples and 2 bananas cost £1.87 in total. 5 apples and 4 bananas cost £3.39 in total. All apples cost the same as each other, and all bananas cost the same as each other. Find the cost of one apple and the cost of one banana.
(Total for Question 27 is 5 marks)
28
Two trains, one from Colchester and one from Chelmsford, start at the same time and travel towards each other along the same 56 km stretch of track. The Colchester train travels at a constant 60 km/h and the Chelmsford train travels at a constant 52 km/h.
(a)Work out how long it takes for the two trains to meet. Give your answer in minutes.(3)
(b)Work out the distance from Colchester at which the two trains meet.(2)
(Total for Question 28 is 5 marks)
29
At a chess club social evening in Chelmsford, every member shakes hands with every other member exactly once. There are 12 members at the evening.
(a)Work out the total number of handshakes that take place.(3)
(b)If 3 members leave early, before any handshakes take place, how many handshakes take place among the remaining members?(1)
(Total for Question 29 is 4 marks)
30
A number, N, satisfies all of the following conditions: N is between 100 and 200. N is a multiple of 5. When N is divided by 7, the remainder is 6. When N is divided by 9, the remainder is 7. Find N, showing your reasoning clearly.
(Total for Question 30 is 5 marks)
Mark scheme · EP.T19 CSSE-Style Maths Mock 3 (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