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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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Name
For Edexcel
GCSE MathematicsPaper 2C (Calculator)
Foundation Tier
Time: 1 hour and 30 minutes
Materials required
Ruler, protractor, compasses,pen, pencil, eraser.Tracing paper ma !e used.
Instructions and Information for Candidates
"rite our name in the !o# at the top o$ the page.%ns&er all the 'uestions in the spaces proided in this 'uestion paper.The mars $or each 'uestion and $or each part o$ a 'uestion are sho&n in !racets.The total num!er o$ mars $or this paper is 100. There are 2* 'uestions in this paper.Calculators may be used.+$ our calculator does not hae a !utton, tae the alue o$ to !e 3.12 unless the'uestion instructs other&ise.
Advice to Candidates
-ho& all stages in an calculation."or steadil through the paper. o not spend too long on one 'uestion.
+$ ou cannot ans&er a 'uestion, leae it and attempt the ne#t one.Return at the end to those ou hae le$t out.
Written by Shaun Armstrong
Only to be copied for use in the purchaser's school or college
EF2C 0 !age " # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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b
h
a
GCSE Mathematics
/ormulae: /oundation Tier
Area of a trapeium1
2(a b)h
!olume of a prism area o$ cross section length
EF2C 0 !age 2 # Churchill $aths %imited
sectioncross
length
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"#
Ans$er A%% T&E'T( SE!E' questions.
&rite your ans$ers in the spaces provided.
(ou must $rite do$n all the sta)es in your $or*in).
#. % $air dice has $aces num!ered 1 to 4.
il rolls the dice 10 times.5se one o$ these &ords to complete each o$ the sentences !elo&.
+mpossi!le 5nliel /i$t6$i$t iel Certain
(a) +t is 7777777777 that she &ill get at least one 3.
+#,
(!) +t is 7777777777 that she &ill get a *.
+#,
(c) +t is 7777777777 that she &ill roll a 4 more than $our times.
+#,
+Total - mar*s,
EF2C 0 !age & # Churchill $aths %imited
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"
83
1
2
3
y
82
81
8
O 1 2 3 9 489 x828 83 81
B
A
.
(a) "rite do&n the coordinates o$ the point
(i) A,
( 77 , 77 )
(ii) B.
( 77 , 77 )+,
(!) n the grid, mar and la!el the point
(i) C(0, ),
(ii) D(9, 83).+,
+Total / mar*s,
EF2C 0 !age # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"-
"/
-. -ol pas a total o$ ;2.2 $or !aguettes.
i< !us * !aguettes $rom the same !aer.
"or out ho& much i< pas in total.
; 777777777
+Total mar*s,
/. (a) =o& man lines o$ smmetr does a s'uare hae>
77777777+#,
(!) =o& man lines o$ smmetr does a ite hae>
77777777+#,
(c) "rite do&n the order o$ rotational smmetr o$ a regular he#agon.
77777777+#,
+Total - mar*s,
EF2C 0 !age ( # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"0
10 20 030 90
?
14
12
20
metres persecond
miles perhour
O
0.
The graph is used to conert speeds !et&een miles per hour and metres per second.
5sing the graph,
(a) conert 12 metres per second into miles per hour,
777777777 mph+#,
(!) conert 1* miles per hour into metres per second.
777777777 m@s+#,
+Total mar*s,
EF2C 0 !age ) # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"1
a
1.
% triangle is shaded on the grid.
(a) "hat tpe o$ angle is the angle la!elled a>
7777777777+#,
(!) "rite do&n the mathematical name o$ this triangle.
7777777777+#,
(c) n the grid, sho& ho& the shaded triangle tessellates.Aou should dra& at least 4 shapes.
+,
+Total / mar*s,
EF2C 0 !age * # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"2
84
8
0
82
2
4
?
Bon Tue Thu"ed /ri -at -un
BinimumTemperature
C
a
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lan
2.
The diagram sho&s the minimum temperature, in C, recorded at a &eather station oneach da $or one &ee.
(a) "rite do&n the minimum temperature recorded on /rida.
77777777 C+#,
(!) "hich t&o das had the same minimum temperature>
7777777777 and 7777777777+#,
(c) "or out the di$$erence !et&een the minimum temperature recorded on Bondaand the minimum temperature recorded on -unda.
77777777 C+#,
+Total - mar*s,
EF2C 0 !age + # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"3
"4
3.
The picture sho&s a car ne#t to a lorr.
(a) "rite do&n an estimate $or the length o$ the car in metres.
77777777 m+#,
(!) 5se our ans&er to part (a) to estimate the length o$ the lorr.-ho& ho& ou mae our estimate.
77777777 m+,
+Total - mar*s,
4. (a) Change 00 centimetres into metres.
7777777777 m+#,
(!) Change 2.9 ilograms into grams.
7777777777 g+#,
The densit o$ gold is 1 grams per cm3.
(c) "or out the mass o$ a solid gold pendant &ith a olume o$ 2 cm3
.
7777777777 g+,
+Total / mar*s,
EF2C 0 !age # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"#5
1
/0 /4
2
#50
##
#5.
/rom the num!ers a!oe, &rite do&n
(a) an een num!er,
7777777777+#,
(!) a s'uare num!er,
7777777777+#,
(c) a multiple o$ ,
7777777777+#,
(d) a $actor o$ 39,
7777777777+#,
(e) a prime $actor o$ 44.
7777777777+#,
+Total 0 mar*s,
EF2C 0 !age "0 # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"##
##.
The diagram sho&s a centimetre s'uare grid.
(a) "hat $raction o$ the grid is shaded>
77777777+#,
(!) /ind the area o$ the shaded part o$ the grid.
77777777 cm2
+#,
iagram '6Taccuratel dra&n
(c) "or out the olume o$ this prism made $rom centimetre cu!es.
77777777 cm3
+,
+Total / mar*s,
EF2C 0 !age "" # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"#
#. (a) =ere are the $irst $ie terms o$ a num!er se'uence.
11 21 31 1 91
(i) "rite do&n the ne#t term o$ this se'uence.
7777777
(ii) /ind the 10th term o$ this num!er se'uence.
7777777+,
(!) =ere are the $irst three terms o$ another num!er se'uence.
10 12 14
The rule $or continuing the se'uence is
(i) /ind the 9th term o$ this se'uence.
7777777
(ii) D#plain &h the num!er 919 cannot !e in this num!er se'uence.
7777777777777777777777777777777
7777777777777777777777777777777+-,
+Total 0 mar*s,
EF2C 0 !age "2 # Churchill $aths %imited
-u!tract and then multipl ! 2
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"#-
#-. =oll is maing shapes ! dra&ing lines !et&een the corners o$ a regular octagon.
=ereEs ho& she maes a rectangle.
-ho& ho& =oll can mae
(a) a right6angled triangle,
+#,
(!) a s'uare,
+#,
(c) a trape
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"#/
20
0
?0
40
100
/loor area (m2)
90 100 200190 290 300
Num!ero$ sales
00
#/. The scatter graph sho&s the num!er o$ sales made per &ee and the $loor area, ins'uare metres, o$ some shops selling !eds.
(a) ra& a line o$ !est $it on the diagram.+#,
% shop selling !eds has a $loor area o$ 100 m2.
(!) 5se our line o$ !est $it to estimate ho& man sales this shop maes per &ee.
77777777+#,
%nother shop selling !eds maes 4 sales per &ee.
(c) 5se our line o$ !est $it to estimate the $loor area o$ this shop.
77777777 m2
+#,
+Total - mar*s,
EF2C 0 !age " # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"#0
4? 30
p
32 q
#0. iagram '6Taccuratel dra&n
(a) (i) "or out the si
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"#1
-mall
Regular
arge
Gum!o
40H
190H?H
#1. The pie chart sho&s in$ormation a!out the si
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"#2
Team............ChelseaPosition.........-trier
-peed.............2-trength.........4-ill...............*.3
Team............ChelseaPosition.........-tri)er-peed.............2-trength........,.4
-)ill...............*.3
Team............Chelsea
Position.........-tri)er
-peed.............2
-trength........,.4-)ill...............*.3
#2. The prices o$ pacs o$ $oot!all cards are sho&n in the ta!le.
Fold pac ;1.90
-iler pac ;1.29
-tar pac ;1.?0
"ill !us 3 -iler pacs.=e pas &ith a ;9 note.
(a) "or out ho& much change he should get.
; 77777777+,
Dric has ;10 to spend on pacs o$ $oot!all cards.=e !us 2 -tar pacs and also &ants to !u some Fold pacs.
(!) "or out the greatest num!er o$ Fold pacs he can !u.Aou must sho& allour &oring.
7777777 Fold pacs+-,
+Total 0 mar*s,
EF2C 0 !age "* # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"#3
#3. Ruah recorded ho& long she spent doing home&or each eening $or $ie das.=ere are her results.
a Time
Bonda 0 minutes
Tuesda 99 minutes"ednesda 30 minutes
Thursda 1 hour 20 minutes
/rida 39 minutes
(a) "or out the mean length o$ time that she spent doing home&or on these das.
7777777777 minutes+-,
n -aturda Ruah spent 1 hour 0 minutes &oring on a piece o$ course&or.-he started at 1 30
(!) %t &hat time did she $inish>
77777777+#,
n -unda Ruah spent 90 minutes &oring on the same piece o$ course&or.
(c) /or her &or on this piece o$ course&or, $ind the ratio o$
time spent on -aturda : time spent on -unda
Fie our ans&er in its simplest $orm.
7777777777+,
+Total 1 mar*s,
EF2C 0 !age "+ # Churchill $aths %imited
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8/13/2019 Mrjacksonmaths GCSE Foundation Calculator Paper C
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"#4
"5
2x
x 19
9
#4. (a) 5se our calculator to &or out the alue o$3.3 14.9
4.1 2.9
"rite do&n all the $igures on our calculator displa.
7777777777777+,
(!) "rite our ans&er to part (a) correct to 2 decimal places.
7777777777+#,
+Total - mar*s,
5. iagram '6Taccuratel dra&n
The si
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"#
Fraph P
d
t
Fraph I
d
tFraph -
d
t
Fraph Rd
t
#. "ater is poured at a constant rate into each o$ t&o containers.
/or each container, one o$ these $our setch graphs sho&s ho& the depth, d, o$ the&ater, changes &ith time, t.
"rite do&n the letter o$ the correct graph $or each container.
(a)
Fraph 7777777+#,
(!)
Fraph 7777777+#,
+Total mar*s,
EF2C 0 !age 20 # Churchill $aths %imited
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"
"-
. FarethEs hourl &age increases $rom ;4.90 to ;*.20
"or out the percentage increase in his &age.Fie our ans&er to an appropriate degree o$ accurac.
77777777 J
+Total / mar*s,
-. (a) 5se the $ormula
T w
to $ind the alue o$ T&hen w 9.*
T 777777777+,
(!) Baexthe su!Kect o$ the $ormula
y1
2x8 9
x 7777777777+,
+Total / mar*s,
EF2C 0 !age 2" # Churchill $aths %imited
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"/
"0
1? cm
4 cm
C
A B
/. (a) D#pand x(x8 3)
7777777777+#,
(!) /actorise a 12
7777777777+#,
+Total mar*s,
0. iagram '6Taccuratel dra&n
The diagram sho&s triangle ABC.
(a) "or out the area o$ the triangle.
77777777 cm2
+,
(!) "or out the length o$BC.Fie our ans&er correct to 1 decimal place.
777777777 cm+-,
+Total 0 mar*s,
EF2C 0 !age 22 # Churchill $aths %imited
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"1
9 2 1 921
1
Num!ero$ coins 2
%lice
rianna
20
100
91
33
-cores
9
2
14
1.
+n a game, a coin is dropped into a hole.%$ter !ouncing on some nails, the coin$alls into a slot and scores 1, 2 or 9 points.
Goanne plas the game &ith ten coins.=ere are her scores.
2 1 2 9 1 2 1 1 1 2
(a) /ind
(i) the mode o$ her scores,
77777777
(ii) the median o$ her scores.
77777777+-,
%lice and rianna each pla the game &ith a num!er o$ coins.The ta!le sho&s their results.
%lice sas the pro!a!ilit o$ scoring a 2 is the same as the pro!a!ilit o$ scoring a 1.
(!) (i) +s %lice correct>7777777
(ii) D#plain our ans&er.
7777777777777777777777777777777
7777777777777777777777777777777
7777777777777777777777777777777+,
+Total 0 mar*s,
EF2C 0 !age 2& # Churchill $aths %imited
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"2
2. %lison is using trial and improement to $ind a solution to the e'uation
x38 9x 40
-he puts her trials in a ta!le:
x x38 9x comment
too small
9 100 too !ig
Continue the ta!le to $ind a solution to the e'uation.Fie our ans&er correct to 1 decimal place.
x 77777777
+Total - mar*s,
T6TA% F67 8A8E79 #55 MA7:S
E';