Mrjacksonmaths GCSE Foundation Calculator Paper C

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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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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"-

"/

-. -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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"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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"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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"2

84

8

0

82

2

4

?

Bon Tue Thu"ed /ri -at -un

BinimumTemperature

C

a

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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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"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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"#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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"##

##.

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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"#

#. (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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"#-

#-. =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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"#/

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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"#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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"#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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"#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,



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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,



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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';

Mrjacksonmaths GCSE Foundation Calculator Paper C

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