1. higher tier - a to astar (1a)

7/23/2019 1. Higher Tier - A to Astar (1A)

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1MA0

Edexcel GCSE

Mathematics (Linear) – 1MA0Paper 1H (Non-Calculator)

Higher TierPractice Paper 1A (Set N)

Time: 1 hour 30 minutes

Materials required for examination Items included ith question!a!ers

Ruler grauate in centimetres an Nil

millimetres! protractor! compasses! pen! H" pencil! eraser#

Tracing paper ma$ %e use#

Instructions

&n the %o'es a%oe! rite $our centre num%er! caniate num%er! $our surname! initials an

signature#Chec* that $ou hae the correct +uestion paper#

Anser A,, the +uestions# rite $our ansers in the spaces proie in this +uestion paper#You must NOT write on the formulae page.

Anything you write on the formulae page will gain NO credit.

&. $ou nee more space to complete $our anser to an$ +uestion! use aitional anser sheets#

Information

The mar*s .or iniiual +uestions an the parts o. +uestions are shon in roun %rac*ets: e#g# (2)#

There are 1/ +uestions in this +uestion paper# The total mar* .or this paper is #2ar* schemes are not $et aaila%le .or this paper! though the original source o. each +uestion is

gien on the last page#

alculators must not !e used.

Ad"ice

Sho all stages in an$ calculations#or* steail$ through the paper# o not spen too long on one +uestion#

&. $ou cannot anser a +uestion! leae it an attempt the ne't one#

Return at the en to those $ou hae le.t out#

This pu%lication ma$ %e reprouce onl$ in accorance ith4e'cel ,imite cop$right polic$#



56017 4e'cel ,imite#

Printer8s ,og# No# #$%&'%

6



*+ ,athematics (-inear) %,A&

9ormulae: Higher Tier

You must not write on this formulae page.

Anything you write on this formulae page will gain NO credit.

olume of prism area o. cross section ; length

olume of sphere 3

7

<r 3

olume of cone 3

1

<r 6

h*urface area of sphere 7<r 6 ur"ed surface area of cone <rl

In any triangle A/ The 0uadratic +1uation

The solutions o. ax6= bx = c 0

here a > 0! are gien %$

x a

acbb

6

)7( 6−±−

*ine uleC

c

B

b

A

a

sinsinsin==

osine ule a6 b6= c6 ? 6bc cos A

Area of triangle 3 61

ab sin C

3



Answer A-- +IHT++N 1uestions.

4rite your answers in the spaces pro"ided.

You must write down all stages in your wor5ing.

You must NOT use a calculator.

%. @se ruler an compasses to construct an angle o. 30 at P #

Bou must sho all $our construction lines#

(Total 6 mar5s)

Full marks on this question was achieved by 10.0% o studentsD

7



2" Work out an estimate for the value of

(0.49 × 0.61)2

.....................................

(#otal $ mar%s)

Full marks on this question was achieved by !."% o studentsD

&" Rearrange y = p – 6qx6 to make x the su!e"t of the formula.

.....................................(Total 6 mar5s)

Full marks on this question was achieved by #.$% o studentsD

E



'. 2a*e k the su%Fect o. the .ormula t 6−k

k #

#####################################

(Total 7 mar5s)

Full marks on this question was achieved by .0% o studentsD



8" #an has t$o o%es. &here are 6 la"k an' 4 $hite "ounters in o% . &here are la"k an' * $hite "ounters in o% +.

#an takes at ran'om a "ounter from o% an' ,uts it in o% +.-he then takes at ran'om a "ounter from o% + an' ,uts it in o% .

(a) om,lete the ,roailit/ tree 'iagram.

($)

() in' the ,roailit/ that after #an has ,ut the "ounter from o% + into o% there $ill still e 6 la"k "ounters an' 4 $hite "ounters in o% .

.....................................(')

(#otal mar%s)

Full marks on this question was achieved by $.&% o studentsD

G



. Sole the e+uation 11

6

6=

+−

x

x#

(Total 7 mar5s)

Full marks on this question was achieved by $.&% o studentsD

/



. The lines y x ? 6 an x = y 10 are ran on the gri#

n the gri! mar* ith a cross (;) each o. the points ith integer coorinates that are in theregion e.ine %$

y I x ? 6

x = y J 10

x I 3

(Total 6 mar5s)

Full marks on this question was achieved by $.1% o studentsD



9.

ABC'(F is a regular he'agon! ith centre )#

)A a ! )B !#

(a) rite the ector AB in terms o. a an !#

#####################################

(%)

The line AB is e'tene to the point * so that AB : B* 1 : 6

(%) rite the ector C* in terms o. a an !#

Kie $our anser in its simplest .orm#

#####################################

(6)

(Total 7 mar5s)

Full marks on this question was achieved by "."% o studentsD

10



:;.

B! C an ' are points on the circum.erence o. a circle! centre )#

AB an A' are tangents to the circle#

Angle 'AB E0

or* out the siLe o. angle BC'#Kie a reason .or each stage in $our or*ing#

(Total 7 mar5s)

Full marks on this question was achieved by +.% o studentsD

11



10. 4'press the recurring ecimal 1/6#0 as a .raction in its simplest .orm#

##############################################

(Total 6 mar5s)

Full marks on this question was achieved by +.&% o studentsD

%%. 2a*e t the su%Fect o. the .ormula

, t

t

+

−

7

63

##############################################################################################

(Total 7 mar5s)

Full marks on this question was achieved by +.1% o studentsD

16



1$" &he 'iagram sho$s the gra,h of y = x 2 – x – *

se the gra,h to 3n' estimates for the solutions of the simultaneouseuations

y = x 6 – x – *

y = x – 4

.....................................................................(Total 6 mar5s)

Full marks on this question was achieved by &.&% o studentsD

13



1&. (a) Rationalise the enominator o.6

E

#####################################################

(2)

(%) 4'pan an simpli.$ (6 = 3 )6 ? (6 ? 3 )6

######################################################################################################

(2)

(Total 7 mar5s)

Full marks on this question was achieved by -.#% o studentsD

17



1'. The iagram shos a soli metal c$liner#

The c$liner has %ase raius 6 x an height x#

The c$liner is melte on an mae into a sphere o. raius r #

9in an e'pression .or r in terms o. x#

##############################################

(Total 6 mar5s)

Full marks on this question was achieved by -.+% o studentsD

1E



1*.

(a) n the gri! ra the graph o. x6 = y6 7

(2)

(%) n the gri! s*etch the graph o. y cos x .or 0 ≤ x ≤ 30

(2)

(Total 7 mar5s)

Full marks on this question was achieved by 1.!% o studentsD

1



1.

APB is a triangle#

is a point on AP #

AB a A. 6! .P !

(a) 9in the ector PB ! in terms o. a an !#

#####################################################

(%)

B is the mipoint o. AC #

/ is the mipoint o. PB#

M(%) Sho that /C is a straight line#

(7)

(Total 8 mar5s)

Full marks on this question was achieved by 1."% o studentsD

1G



%<.

The iagram shos a soli cone an a soli hemisphere#

The cone has a %ase o. raius x cm an a height o. h cm#

The hemisphere has a %ase o. raius x cm#

The sur.ace area o. the cone is e+ual to the sur.ace area o. the hemisphere#

9in an e'pression .or h in terms o. x#

#####################################

(Total 7 mar5s)

Full marks on this question was achieved by 0.!% o studentsD

1/



%9. @mar thin*s (a =1)6 a6 = 1 .or all alues o. a#

(a) Sho that @mar is rong#

(2)

Here are to right-angle triangles#

All the measurements are in centimetres#

(%) Sho that 6a = 6b = 1 6c

(6)

a! b an c cannot all %e integers#

(c) 4'plain h$#

(%)

(Total = mar5s)

Full marks on this question was achieved by 0.-% o studentsD

TOTA- >O #A#+ 3 =; ,A?*

+N@

1



#ractice #aper %A (*et N)

0uestion @ate of original

linear paper

Original

1uestion num!er

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%8 No"em!er 2&%2 2<

%= No"em!er 2&%2 29

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%9 ,arch 2&%2 27

1. higher tier - a to astar (1a)

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