CSSE-style Mathematics Mock - 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. The questions get harder as the paper goes on - the final five are 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 total - this paper has one section). Work out 4826 + 3957.
(Total for Question 1 is 1 mark)
2
Write these numbers in order of size, starting with the smallest: 0.6, 0.09, 0.75, 0.3
(Total for Question 2 is 1 mark)
3
Find 3/4 of 60.
(Total for Question 3 is 1 mark)
4
A CD costs £8.99. Sophie buys 3 of them. How much change does she get from £30?
(Total for Question 4 is 2 marks)
5
Round 68,742 to the nearest thousand.
(Total for Question 5 is 1 mark)
6
On Monday 14/09/2026, a train leaves Chelmsford at 09:15 and the journey to London Liverpool Street takes 38 minutes. At what time does the train arrive?
(Total for Question 6 is 2 marks)
7
Priya has a ribbon that is 2.4 m long. She cuts off 3/8 of it to wrap a present. What length of ribbon, in centimetres, is left over?
(Total for Question 7 is 2 marks)
8
In a box of counters at a Braintree primary school, the ratio of red counters to blue counters is 5 : 3. There are 40 counters in total. How many are blue?
(Total for Question 8 is 2 marks)
9
A market stall in Colchester sells apples at £1.20 per kilogram. For the last hour of trading on Saturday, the stallholder reduces the price by 15%. Tariq buys 2.5 kg of apples during the last hour. How much does he pay? Give your answer in pounds and pence.
(Total for Question 9 is 3 marks)
10
A rectangular garden in Rayleigh measures 9.5 m by 6 m. Find the perimeter of the garden.
(Total for Question 10 is 2 marks)
11
Femi, Grace and Ibrahim share £84 in the ratio 2 : 3 : 2. How much more does Grace receive than Ibrahim?
(Total for Question 11 is 3 marks)
12
A swimming lesson in Basildon starts at 16:45 and finishes at 17:20. How many minutes long is the lesson?
(Total for Question 12 is 2 marks)
13
Five friends recorded the number of books they read over the summer holidays: 4, 7, 3, 8, 3. Find the mean number of books read.
(Total for Question 13 is 2 marks)
14
A rectangular lawn in Harlow measures 8 m by 5 m. Turf costs £6.50 per square metre. What is the total cost of turfing the whole lawn?
(Total for Question 14 is 3 marks)
15
I am thinking of a number. When I multiply it by 4 and then subtract 7, the answer is 45. What is my number?
(Total for Question 15 is 2 marks)
16
Which is greater: 3/5 of 40, or 55% of 36? Show working to justify your answer.
(Total for Question 16 is 3 marks)
17
A coach leaves Southend at 07:52 and arrives in Cambridge at 09:47. Fuel costs the coach company £0.85 per minute of the journey. What is the total fuel cost for the journey?
(Total for Question 17 is 3 marks)
18
Find the next two terms in this sequence: 3, 7, 13, 21, 31, ...
(Total for Question 18 is 2 marks)
19
A baker in Witham makes 250 rolls. She sells 2/5 of them before 10 a.m. and a further 1/3 of the remainder before midday. How many rolls are left after midday?
(Total for Question 19 is 3 marks)
20
In triangle ABC, angle A = 54 degrees and angle B is twice the size of angle A. Find angle C.
(Total for Question 20 is 3 marks)
21
On a school trip to Colchester Castle, the ratio of boys to girls is 4 : 5. There are 81 children on the trip altogether. If 3/9 of the boys wear glasses, how many boys wear glasses?
(Total for Question 21 is 4 marks)
22
A rectangular field measures 45 m by 28 m. A path 2 m wide is built inside the field, running all the way around next to the boundary, so that a smaller rectangle of grass remains in the middle. Find the area of the path.
(Total for Question 22 is 4 marks)
23
The cost of hiring a coach for a school trip is shared equally among the pupils going. If 24 pupils go, each pupil pays £9.25. If 6 more pupils join the trip and the total cost of the coach stays the same, how much does each pupil pay now?
(Total for Question 23 is 4 marks)
24
Solve: 5x + 12 = 3x + 30
(Total for Question 24 is 2 marks)
25
A tank contains 180 litres of water. Water is drained from the tank at a rate of 4.5 litres per minute. After 8 minutes, a second tap starts draining an extra 2 litres per minute at the same time as the first tap. How many litres of water remain in the tank 5 minutes after the second tap starts?
(Total for Question 25 is 4 marks)
26
Two taps, A and B, can fill an empty paddling pool together in 12 minutes. Tap A alone would take 20 minutes to fill the pool.
(a)What fraction of the pool does tap A fill in 1 minute?(2)
(b)How long would tap B alone take to fill the pool?(3)
(Total for Question 26 is 5 marks)
27
Leah is currently three times as old as her brother Noah. In 8 years' time, Leah will be twice as old as Noah.
(a)Using n for Noah's current age, write an equation showing the information about their ages in 8 years' time.(2)
(b)Find Noah's current age and Leah's current age.(3)
(Total for Question 27 is 5 marks)
28
Four friends, Oliver, Callum, Aisha and Zainab, each ran a different distance in a Saffron Walden fun run: 5 km, 8 km, 10 km and 12 km, though not necessarily in that order. Callum ran further than Oliver. Aisha ran further than Callum but less far than Zainab.
(a)Put the four friends in order from shortest to longest distance run.(2)
(b)State the exact distance each friend ran, showing your reasoning.(3)
(Total for Question 28 is 5 marks)
29
A charity fun run in Epping Forest raises money through entry fees and sponsorship. 120 people enter the race, each paying an entry fee of £4.50. Sponsorship money raised is 2.5 times the total entry fee money. 60% of all the money raised (entry fees plus sponsorship) is given to a wildlife charity, and the rest is shared equally between two other charities.
(a)How much money is raised in total (entry fees plus sponsorship)?(3)
(b)How much does each of the two other charities receive?(3)
(Total for Question 29 is 6 marks)
30
Three consecutive even numbers have a sum of 138.
(a)Find the three numbers.(2)
(b)The largest of the three numbers is multiplied by itself, and the smallest of the three numbers is then subtracted from the result. What is the final answer?(2)
(c)A new number, N, is 5 more than twice the middle of the three original numbers. Is N a prime number? Show your reasoning.(2)
(Total for Question 30 is 6 marks)
Mark scheme · EP.T4 CSSE-Style Maths Mock (Essex)
Question 1
B1 8783 cao
Answer: 8783
Question 2
B1 0.09, 0.3, 0.6, 0.75 in this order
Answer: 0.09, 0.3, 0.6, 0.75
Question 3
B1 45 cao
Answer: 45
Question 4
M1 3 x £8.99 = £26.97
A1 £30.00 - £26.97 = £3.03
Answer: £3.03
Question 5
B1 69,000 cao
Answer: 69,000
Question 6
M1 Adds 38 minutes to 09:15 (15 + 38 = 53 minutes past 9)
A1 09:53 cao
Answer: 09:53
Question 7
M1 2.4 m = 240 cm and 3/8 of 240 = 90 cm cut off
A1 150 cm cao
Answer: 150 cm
Question 8
M1 40 divided by 8 parts = 5 counters per part
A1 15 cao
Answer: 15
Question 9
M1 15% of £1.20 = £0.18
M1 Reduced price £1.20 - £0.18 = £1.02, then 2.5 x £1.02
A1 £2.55 cao
Answer: £2.55
Question 10
M1 9.5 + 6 = 15.5
A1 31 m cao
Answer: 31 m
Question 11
M1 £84 divided by 7 parts = £12 per part
M1 Grace = 3 x £12 = £36, Ibrahim = 2 x £12 = £24
A1 £12 cao
Answer: £12
Question 12
M1 16:45 to 17:00 = 15 minutes, 17:00 to 17:20 = 20 minutes
A1 35 minutes cao
Answer: 35 minutes
Question 13
M1 4 + 7 + 3 + 8 + 3 = 25
A1 5 cao
Answer: 5
Question 14
M1 Area = 8 x 5 = 40 m2
M1 40 x £6.50
A1 £260 cao
Answer: £260
Question 15
M1 4x - 7 = 45, so 4x = 52
A1 x = 13 cao
Answer: 13
Question 16
M1 3/5 of 40 = 24
M1 55% of 36 = 19.8
A1 24 > 19.8, so 3/5 of 40 is greater, with both values shown
Answer: 3/5 of 40 (= 24) is greater than 55% of 36 (= 19.8)
Question 17
M1 07:52 to 08:00 = 8 minutes, 08:00 to 09:47 = 107 minutes, total = 115 minutes
M1 115 x £0.85
A1 £97.75 cao
Answer: £97.75
Question 18
M1 Identifies differences 4, 6, 8, 10, increasing by 2 each time