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10
Test 4
Forallof thequestions in this test,do the
calculationentirely inyourheadwithnowritten
‘working’and justwritedown theanswer.
1
Round40800 to thenearest1000
2
What is60%of40ml?
ml
3
Philip andMary share£2 in the ratio3 :2
HowmuchdoesMary get?
4
Harryhas the sixnumber cardsbelow.
8 1 9 7 0 3
What is thenumbernearest to1000he can
makebyplacing someof the cards sideby
side?
5
WhenKirsten thoughtof anumber,added1
and thenmultipliedby3, the resultwas9
WhatnumberdidKirsten thinkof?
6
If
a
=3,
b
=2 and
c
=8,what is the valueof
a
−
b
+
c
?
7
What is thenextnumber in this sequence?
1,2,4,7,11,
8
Isobelhasapacketof sweets.She shares them
withher sister.When theyhaveeacheaten
7 sweets there is1 sweet left.
Howmany sweetswere in thepacket at the
start?
9
Calculate the areaof the rectangle.
cm²
2cm
12cm
10
What is the readingon the scale?
0
2
1
4
3
5
11
Two anglesof a triangle are40° and70°.
What size is the third angle?
°
12
What is the volumeof a cuboidmeasuring
8cmby5cmby4cm?
cm³
13
Afilm started at7.50p.m.and ended at
10.05p.m.How longdid thefilm last?
hours
minutes
Questions14 to16 refer to this listof themarks
onepupilgained in8 tests.
8 6 9 7 6 8 7 6
14
What is themode?
15
What is themedian?
16
What is the range?
17
TheCarrolldiagram shows some information
about children in a class.
Whatpercentageof the children in the class
wear glasses?
%
7
Donotwear
glasses
Wear
glasses
Boys
Girls
6
4
3
18
What is the smallestnumber greater than
100 that isdivisible exactlyby3?
19
The sum of two integers (whole numbers) is
12 and the difference between the integers
is 4
What is theproductof thenumbers?
20
Paigehas24 sweets.Aquarter aremints and
a thirdof theothers are toffees.The rest are
chocolates.
Howmany chocolates are there?
829628_04_Maths_WB_MA_p10.indd 10
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A vital revision guide that covers all the key content for pre-tests
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ISEB, CEM, GL and Consortium.
■
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■
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■
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11+ Mathemat ics
Revision Guide
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write-in workbooks.
■
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■
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10-Minute Maths Tests
■
70 topic tests including 10 mixed topic tests
■
Covers number, calculations, problem-solving, pre-algebra, shape,
space and measures, and handling data
Mental Arithmetic
■
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■
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Mathemat ics
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11+ Mathemat ics
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Mathemat ics
11+ Mathematics Revision Guide – Chapter 6: Handling data
135
A:Carroll diagrams andVenn diagrams
Key words:
discrete data, Carroll diagram,Venn diagram, highest common factor,
common factor
Train
1
ThisVenn diagram shows the numbers of boys in a
class who play cricket and tennis in the
(7)
summer term.
(a)
How many boys play tennis but not cricket?
(b)
How many boys play neither tennis nor cricket?
(c)
How many boys are in the class?
Try
2
Look at this set of numbers.
(8)
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
(a)
Write each number in the correct region
of this Carroll diagram.
(b)
Draw aVenn diagram showing those numbers that
are odd and those that are divisible by 3
Write each number in the correct region.
Test
3
The table shows the results of a survey about siblings for a group of year 6 pupils.
(8)
Siblings
Number of pupils
Brothers only
✔ ✔ ✔ ✔ ✔
Sisters only
✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔
Sisters and brothers
✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔
No brothers or sisters
✔ ✔ ✔
(a)
Write the results in the correct region of this
Carroll diagram.
(b)
Represent this data in aVenn diagram with
two sets: Brothers and Sisters.
4 (a)
Write 16 as the product of its prime factors.
(2)
(b)
Write 24 as the product of its prime factors.
(2)
(c)
Draw aVenn diagram to represent the information in parts (a) and (b).
(2)
(d)
What are the shared prime factors of 16 and 24?
(1)
(e)
What is the highest common factor of 16 and 24?
(1)
Odd
Not
odd
Divisible
by 3
Not divisible
by 3
Brothers
No
brothers
Sisters
No sisters
Cricket
5
3
6
4
Tennis
9781471849213_Ch06.indd 135
5/25/16 8:54PM
Questions to introduce
children to using the skills.
Some not-too-difficult questions
for children to examine and
understand how they work.
Timed questions to see what real
exam questions are like. The last one
will be difficult, so if your child can do
this one, the skill is nearly mastered.
train
try
test
Mathematics Workbook Mental Arithmetic Age 8–10 – Test 4
Te l :
0 2 0 3 1 2 2 6 4 0 5
I
V i s i t :
g a l o r e p a r k . c o . u k
Te l :
0 2 0 3 1 2 2 6 4 0 5
I
V i s i t :
g a l o r e p a r k . c o . u k
11+ REVISION & PRACTICE
16
Paper 11
Circle the correctanswer foreachquestion.
1
The attendance at a footballmatch atWembley Stadiumwas given as88000, to the
nearest1000
The actual attendancefigure is givenbelow.Whichone is it?
(1)
(a)
87241
(b)
88748
(c)
88500
(d)
88237
(e)
88501
2
John trainswithhis local running clubon a400m running track.Thisweek Johnneeds
to run10km.Howmany lapsof the track is this?
(2)
(a)
10
(b)
15
(c)
20
(d)
25
(e)
30
3
An alarmflashes intermittently to show that it isworking. Itflashes at08:00 and then
at20-second intervals.Howmany timeswill itflashbetween08:00 and10:00?
(3)
(a)
180
(b)
240
(c)
360
(d)
361
(e)
480
4
A farmer keepspigs and chickens.Hehas32 animals altogether and the animals
have a totalof80 legs.Howmany chickensdoes the farmerhave?
(5)
(a)
16
(b)
18
(c)
8
(d)
14
(e)
24
5
Which shape is in thewrongpartof theCarrolldiagram?
(1)
(a)
Square
(b)
Rectangle
(c)
Equilateral triangle
(d)
Isosceles triangle
(e)
Kite
At leastonepairofparallel sides Noparallel sides
All sides same length
Square
Equilateral triangle
Not all sides same length
Kite
Rectangle
Isosceles triangle
6
Whichoneof these eventswill certainlyhappen?
(1)
(a)
Iwill get somethingwrong tomorrow.
(b)
Mybrother’s favourite teamwillwin soon.
(c)
Tuesdaywill followMonday.
(d)
The totalof twodicewillbe13
(e)
Itwill rainduring the summer.
7
What is
3
4
of92?
(1)
(a)
76
(b)
69
(c)
72
(d)
78
(e)
63
8
What is89×32?
(1)
(a)
2884
(b)
2848
(c)
2448
(d)
2284
(e)
2484
9
What is1376÷16?
(1)
(a)
48
(b)
86
(c)
74
(d)
60
(e)
68
Test time:60minutes
9781471869051.indb 16
11/01/16 7:22PM
Paper11
17
10
What is the equationof the line shownon the graph?
(2)
1
1
2
3
4
−1 0
−1
−2
−3
−4
−5
−2
−3
−4
2 3 4 5
x
y
(a)
y
=
x
+1
(b)
y
=2
x
+1
(c)
y
=
x
−2
(d)
y
=
x
−3
(e)
y
=
x
−1
11
In a gymnastics club, there are8 girls for every3boys.There are55 children in the
club.Howmanyboys are there?
(3)
(a)
15boys
(b)
40boys
(c)
11boys
(d)
20boys
(e)
24boys
12
Whenmakingblackcurrant squash,Margaretmixes1partof the concentratewith
15partsofwater.Howmuch concentratedoes sheuse tomake160 litresof
blackcurrant squash?
(2)
(a)
10 litres
(b)
15 litres
(c)
18 litres
(d)
20 litres
(e)
21 litres
13
Whichpercentage is equivalent to the fraction
170
250
?
(2)
(a)
17%
(b)
34%
(c)
42%
(d)
68%
(e)
85%
14
Whatdoyouneed to add to7.67 tomake34.45?
(1)
(a)
42.12
(b)
23.48
(c)
27.48
(d)
24.78
(e)
26.78
15
The shape shown ismadeupof3 equilateral triangleson each sideof a square that
has sidesof18cm.What is theperimeterof the shape?
(2)
(a)
144cm
(b)
72cm
(c)
24cm
(d)
108cm
(e)
100cm
18cm
Notdrawnaccurately
Turnover to thenextpage
9781471869051.indb 17
11/01/16 7:22PM
11+ Mathematics Practice Papers 2 – Paper 11
8
9