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CSSE 11+
Six CSSE Format Papers covering:
- 22 different Subject Areas
- Exclusive Answer Scorecard Matrix
- Large variety of question types in each subject
Maths Practice Papers
Aiming for a place in a CSSE Grammar School?
Look no further - we're here to help you!
- Six full length maths papers tailored to replicate the CSSE format
- Every question mapped to one of twenty two topics
- Unique scorecard matrix to identify improvement areas
- Detailed answers with supporting explanations where needed
- Includes both short and worded multi-part questions
For more information including past paper results
visit our website at: www.bgsbooks.com
BGSBOOKSwww.bgsbooks.com
SIX MATHS PRACTICE PAPERS
FOR THE 11+ CSSE ENTRANCE
EXAMS
ALL RIGHTS RESERVED This book or any portion thereof may not be reproduced or used in any manner whatsoever
without the express written permission of the publisher except for the use of brief quotations
in reviews.
Copyright © 2019 BGS Books
ISBN number: 9781074314248
Print Version code: CSSE-33-AG-MSH
DISCLAIMER
BGS Books and this publication have no association with the Consortium of Selective Schools in
Essex (CSSE), or any other schools or examination boards.
Every effort has been made to ensure that the information contained in this book is accurate;
however, we are not responsible for anyone failing any part of their exam as a result of the
information contained in this book or on our website www.bgsbooks.com
*Information based on the 2019 entry exam results and analysis of 2015 to 2019 English entry papers.
Approximately 5635 children sat the 2019 English entry exam, of which 2698 were girls
and 2937 boys. This is an increase of 253 from the year before.
Across the 10 schools that make up the CSSE, there are approximately 1,300
places available for 2020 entry.
For 2019 entry, 26% of the girls achieved a score of over 50% in Maths.
Of this, only 1% scored more than 50 marks (from 60) with the majority of
girls (59%) scoring between 11 and 30 marks.
Age standardization was applied for the first time in 2018 following a
ruling by the Department for Education.
We’ve analyzed past papers from 2008 onwards and have classified
every question into one of 22 subjects – thus focusing our papers
around these.
The format and length of the Maths papers was changed in
2013/14 by the CSSE, moving from 35 mins to 60 min in
duration.
Of the 2937 boys to sit the Maths paper for 2019 entry,
1091 scored 31 marks or more – significantly better than
the girls!
Want to know more? Visit www.bgsbooks.com
1
2
3
4
5
6
7
8
We’ve done the research so you don’t have to…..
DID YOU KNOW?
1 Use four rules / BODMAS – both basic and worded problems
2 Fraction questions and their equivalents (decimals and percentages)
3 Basic Algebra and Nth rule problem solving
4 Angles on a straight line or triangle, identify acute, obtuse, reflex and right angles
5 Read and plot Co-ordinates and perform transformations
6 Mean (Average), Median and Range
7 Square, Cube and Prime numbers (less than 100)
8 Tables and Data Interpretation
9 Number Problems (Number machines, Missing Numbers)
10 Ordering and Rounding Numbers
11 Calculating Percentages
12 Nets and Shapes – visualise 2D and 3D shapes and know names
13 Probability – limited number of questions as not part of KS2 curriculum
14 Reading Scales
15 Converting Units e.g. mm to Metres
16 Basic Speed, Distance or Time type questions
17 Calculate Area, Perimeter, Volume
18 Read and interpret different chart types, including Bar, Pie, Venn, Line
19 Ratio and Proportion, Factors and Multiples
20 Tell the time from a 12 or 24-hour clock and calculate time intervals
21 Money Problems
22 Questions involving measurement of Length, Distance, Mass, and Weight
A FEW WORDS… Our papers have been written with the intention of providing quality
exam question practice at the same standard and level of difficulty as
the current CSSE 11+ exams.
After each paper is completed, record the score achieved for each
question in the ‘Topic Scorecard Matrix’ at the back of this book.
To keep papers realistic, not every topic is covered in every paper, so all
6 papers should be completed before identifying those topics with the
lowest percentage score.
Surname ..............................................................
First Name ...........................................................
Start Time: …….....................................................
End Time: …….......................................................
11+ CSSE Mock
Mathematics Paper 1
60 Minutes
The questions in this paper are worth 60 marks
Attempt all the questions, writing your answers clearly
If you cannot answer a question, leave it and go on to the next one
Use any time you have left to check your answers and go back to any
unanswered questions
The numbers in brackets are the marks available for each question
Do NOT use a calculator
PA
GE SCORE
Marks Total
2 5
3 7
4 5
5 6
6 6
7 3
8 3
9 4
10 4
11 7
12 4
13 3
14 3
TOT: 60
1
T
R
SCORE
MARKS ANSWER Question
2
1 The table below shows the minimum scores needed to either join the waiting list or be
offered a place at a choice of four grammar schools.
Entry scores are lower if a sibling already attends the school.
Sibling Waiting List Offer Place
Blue School Yes 303 or higher 314 or higher
No 303 or higher 335 or higher
Green School Yes 303 or higher 319 or higher
No 303 or higher 333 or higher
Red School Yes 310 or higher 343 or higher
No 320 or higher 346 or higher
Orange School Yes 310 or higher 347 or higher
No 320 or higher 349 or higher
(a) Joaquim achieves a score of 320 and has a sibling at Green
School. Will Green school offer him a place? Yes or No?
(b) Gary also achieves a score of 320 and has no siblings. Which
schools will offer him a place?
(c) Mia has no siblings and has achieved a score of 348. Which
schools will not offer her a place?
(d) Poppy has a score of 315 and a sibling at the Blue School.
Which schools will place her on a waiting list?
(e) Trevor has no siblings. What is the highest mark he could have
achieved to be on the waiting list at the Red school but not be
offered a place?
5
(1)
(1)
(1)
(1)
(1)
Paper 1
T
R
SCORE
MARKS ANSWER Question
3
3
2
Fill in the missing numbers from these sequences:
Look at the number machines below and identify the missing number.
(a)
(b)
13 , 22 , 31 , 40 , ____ , 58
5 , 5.75 , ____ , 7.25 , 8 , 8.75
65 , 54.5 , 44 , 33.5 , 23 , ____
(a) What number is half way between 5.9 and 6.3?
(b) What number is half way between -5 and 15?
4
(a)
(b)
(c)
7
(1)
(1)
(1)
(1)
(1)
(1)
(1)
Paper 1
T
R
SCORE
MARKS ANSWER Question
4
(a) How much did Nicolas pay on day one?
(b) What percentage of the total price did Nicolas have left to pay
after paying his deposit?
(c) How much did Nicolas pay in each instalment?
(d) If the car decreases in value by 10% at the end of every year,
how much is the car worth at the end of two years?
(e) If Nicholas had paid in full on day one, he would have received a
£900 discount. What percentage saving is this?
5
5
Nicolas sees a car he wants to buy for £18,000.
He pays 15% of the total price on day one, known as a deposit.
He pays the remainder in 12 equal monthly instalments.
(1)
(1)
(1)
(1)
(1)
Paper 1
T
R
SCORE
MARKS ANSWER Question
5
(a) How many nuts did the first squirrel eat?
(b) How many nuts were left over after the second squirrel ate?
(c) How many nuts were left over after all three squirrels had
eaten?
6 Three squirrels collect a pile of 40 nuts to eat for dinner.
The first squirrel eats one quarter of the nuts.
The second squirrel then eats a fifth of the remaining nuts.
The third squirrel then finishes half of what is left.
6
(a) One of the angles in a right angled triangle is 46 degrees.
What is the angle of the acute angle?
(b) One of the angles in a triangle is 60°. One of the remaining two
angles is three times larger than the other angle. What is the
largest angle in the triangle?
(c) If the time on a clock is midnight and I turn the large hand 150°
degrees clockwise, what time will it be?
7
(1)
(1)
(1)
(1)
(1)
(1)
Paper 1
95
Qn Part Answer Explain
16
a 20 cm Using ratio, the height is 4x larger than depth
b 30 cm Using ratio, the length is 6x larger than depth
c 220 cm There are 12 edges on the TV, 4 of each L, H and D Use answers from (a) + (b) + 5cm depth multiplied by 4
17
a Emmerdale Salasi will switch channels at 19:05
b 30 min Coronation street finishes 20:45, Bake-off finishes 21:15
c 01:52 23:35 + 2hr 17
18
a £54 2 x £18 + £9 + £9
b £12 (2 adults x £18) = £36, a third off 36 = £12 discount
c £84 Multiply prices by 2 for return trip: Adult 24 x 2 + Child 18 x 2
19
a 165 kg Each passenger can take a total of 55kg each and 3 passengers
b 4 suitcases Suitcase allowance = 32kg x 3 = 96kg. 96 ÷ 24 = 4
c 31kg Hand allowance = 23kg x 3 = 69kg. 69 - 20 - 3 - 15
d 2 96kg / 16 = 6 suitcases needed in total, 4 already, 2 extra needed
Paper 04 ANSWERS
Qn No.
Score
Total
Qn No.
Score
Total
Qn No.
Score
Total
Qn No.
Score
Total
Qn No.
Score
Total
Qn No.
Score
Total
Marks
Total
AFo
ur
Ru
les
/ B
OD
MA
S4
(2)
1(3
)9
(4)
1(3
)1
9(3
)1
(5)
(20
)
BFr
acti
on
s6
(3)
2(3
)n
/aX
(0)
2(3
)1
8(1
)n
/aX
(0)
(10
)
CA
lgeb
ra, N
th R
ule
)n
/aX
(0)
20
(3)
11
(3)
3(2
)1
7(5
)2
(2)
(15
)
DA
ngl
es7
(3)
19
(2)
12
(3)
4(3
)1
6(2
)3
(2)
(15
)
EC
o-o
rdin
ates
an
d T
ran
sfo
rmat
ion
s8
(4)
8(3
)1
3(3
)5
(3)
15
(4)
4(3
)(2
0)
FM
ean
, Med
ian
an
d R
ange
9(2
)1
7(3
)1
4(3
)n
/aX
(0)
14
(4)
5(3
)(1
5)
GSq
uar
e, C
ub
e an
d P
rim
e n
um
ber
s1
3(1
)1
8(3
)1
5(4
)n
/aX
(0)
13
(3)
6(4
)(1
5)
HTa
ble
s an
d D
ata
Inte
rpre
tati
on
1(5
)1
6(3
)1
6(3
)6
(3)
12
(3)
7(3
)(2
0)
IN
um
ber
Pro
ble
ms
(mac
hin
es, m
issi
ng)
2(2
)1
5(3
)1
8(5
)7
(4)
11
(3)
8(3
)(2
0)
JO
rder
ing
and
Ro
un
din
g N
um
ber
s3
(3)
14
(3)
17
(3)
n/a
X(0
)1
0(3
)9
(3)
(15
)
KP
erce
nta
ges
5(5
)1
3(3
)1
(2)
8(3
)9
(3)
10
(4)
(20
)
LN
ets
and
Sh
apes
10
(3)
n/a
X(0
)2
(3)
14
(3)
8(3
)1
1(3
)(1
5)
MP
rob
abili
tyn
/aX
(0)
12
(3)
n/a
X(0
)9
(4)
7(3
)n
/aX
(0)
(10
)
NR
ead
ing
Scal
es1
1(3
)1
1(3
)n
/aX
(0)
10
(3)
6(3
)1
2(3
)(1
5)
OC
on
vert
ing
Un
its
12
(3)
10
(3)
3(3
)1
1(4
)n
/aX
(0)
13
(2)
(15
)
PSp
eed
, Dis
tan
ce, T
ime
n/a
X(0
)n
/aX
(0)
n/a
X(0
)1
2(3
)5
(4)
14
(3)
(10
)
QA
rea,
Per
imet
er, V
olu
me
14
(4)
9(3
)4
(4)
13
(3)
4(3
)1
5(3
)(2
0)
RC
har
ts (
Bar
, Pie
, Ven
n, L
ine)
15
(3)
7(3
)5
(3)
15
(3)
3(3
)1
6(5
)(2
0)
SR
atio
, Pro
po
rtio
n, F
acto
rs, M
ult
iple
s1
6(4
)6
(3)
6(2
)1
6(3
)n
/aX
(0)
17
(3)
(15
)
TTi
me
17
(4)
5(2
)7
(5)
17
(3)
2(3
)1
8(3
)(2
0)
UM
on
ey1
8(3
)4
(4)
8(3
)1
8(3
)1
(4)
19
(3)
(20
)
VLe
ngt
h/D
ista
nce
, Mas
s, W
eigh
t1
9(3
)3
(4)
10
(4)
19
(4)
n/a
X(0
)n
/aX
(0)
(15
)
Tota
ls:
(60
)(6
0)
(60
)(6
0)
(60
)(6
0)
(36
0)
Pap
er
6TO
TALS
% Correct
Top
ic
TOP
IC S
CO
REC
AR
D M
ATR
IX -
USE
TO
IDEN
TIFY
IMP
RO
VEM
ENT
AR
EAS
Ente
r Sc
ore
s fo
r e
ach
Qu
est
ion
Pap
er
1P
ape
r 2
Pap
er
3P
ape
r 4
Pap
er
5
