1. higher tier - a to astar (1a)
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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$right polic$#
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56017 4e'cel ,imite#
Printer8s ,og# No# #$%&'%
6
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*+ ,athematics (-inear) %,A&
9ormulae: Higher Tier
You must not write on this formulae page.
Anything you write on this formulae page will gain NO credit.
olume of prism area o. cross section ; length
olume of sphere 3
7
<r 3
olume of cone 3
1
<r 6
h*urface area of sphere 7<r 6 ur"ed surface area of cone <rl
In any triangle A/ The 0uadratic +1uation
The solutions o. ax6= bx = c 0
here a > 0! are gien %$
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
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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
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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 #.$% o studentsD
E
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'. 2a*e k the su%Fect o. the .ormula t 6−k
k #
#####################################
(Total 7 mar5s)
Full marks on this question was achieved by .0% o studentsD
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8" #an has t$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
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. Sole the e+uation 11
6
6=
+−
x
x#
(Total 7 mar5s)
Full marks on this question was achieved by $.&% o studentsD
/
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. The lines y x ? 6 an x = y 10 are ran on the gri#
n the gri! mar* ith a cross (;) each o. the points ith integer coorinates that are in theregion e.ine %$
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
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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
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:;.
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 $our or*ing#
(Total 7 mar5s)
Full marks on this question was achieved by +.% o studentsD
11
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10. 4'press the recurring ecimal 1/6#0 as a .raction in its simplest .orm#
##############################################
(Total 6 mar5s)
Full marks on this question was achieved by +.&% o studentsD
%%. 2a*e t the su%Fect o. the .ormula
, t
t
+
−
7
63
##############################################################################################
(Total 7 mar5s)
Full marks on this question was achieved by +.1% o studentsD
16
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1$" &he 'iagram sho$s the gra,h of y = x 2 – x – *
se the gra,h to 3n' estimates for the solutions of the simultaneouseuations
y = x 6 – x – *
y = x – 4
.....................................................................(Total 6 mar5s)
Full marks on this question was achieved by &.&% o studentsD
13
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1&. (a) Rationalise the enominator o.6
E
#####################################################
(2)
(%) 4'pan an simpli.$ (6 = 3 )6 ? (6 ? 3 )6
######################################################################################################
(2)
(Total 7 mar5s)
Full marks on this question was achieved by -.#% o studentsD
17
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1'. The iagram shos a soli metal c$liner#
The c$liner has %ase raius 6 x an height x#
The c$liner is melte on an mae into a sphere o. raius r #
9in an e'pression .or r in terms o. x#
##############################################
(Total 6 mar5s)
Full marks on this question was achieved by -.+% o studentsD
1E
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1*.
(a) n the gri! ra the graph o. x6 = y6 7
(2)
(%) n the gri! s*etch the graph o. y cos x .or 0 ≤ x ≤ 30
(2)
(Total 7 mar5s)
Full marks on this question was achieved by 1.!% o studentsD
1
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1.
APB is a triangle#
is a point on AP #
AB a A. 6! .P !
(a) 9in the ector PB ! in terms o. a an !#
#####################################################
(%)
B is the mipoint o. AC #
/ is the mipoint o. PB#
M(%) Sho that /C is a straight line#
(7)
(Total 8 mar5s)
Full marks on this question was achieved by 1."% o studentsD
1G
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%<.
The iagram shos a soli cone an a soli hemisphere#
The cone has a %ase o. raius x cm an a height o. h cm#
The hemisphere has a %ase o. raius x cm#
The sur.ace area o. the cone is e+ual to the sur.ace area o. the hemisphere#
9in an e'pression .or h in terms o. x#
#####################################
(Total 7 mar5s)
Full marks on this question was achieved by 0.!% o studentsD
1/
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%9. @mar thin*s (a =1)6 a6 = 1 .or all alues o. a#
(a) Sho that @mar is rong#
(2)
Here are to right-angle triangles#
All the measurements are in centimetres#
(%) Sho that 6a = 6b = 1 6c
(6)
a! b an c cannot all %e integers#
(c) 4'plain h$#
(%)
(Total = mar5s)
Full marks on this question was achieved by 0.-% o studentsD
TOTA- >O #A#+ 3 =; ,A?*
+N@
1
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#ractice #aper %A (*et N)
0uestion @ate of original
linear paper
Original
1uestion num!er
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