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2Final Examination 2015 Mathematics Year 9 Paper 1
1 (a) When x = 8, hat is the !al"e o# 5x$%ic& ( ') the correct ox elo
(1m)
() When x = 8, hat is the !al"e o# *x + x$%ic& ( ) the correct ox elo
(1m)
(c) When x = 8, hat is the !al"e o# x 2$%ic& (' ) the correct ox elo
(1m)
2 Patricia "sesa ri- tom"ltipl. 2* .15
200/ 100 / *0 /15 = *5
nser *5
3o 4isam"ltiplies to -i##erent n"mersomplete the ri-, then i!e the anser elo
nser 666666666666666666666666666666
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*Final Examination 2015 Mathematics Year 9 Paper 1
(2m)* Fre- has a a o# seets
7e is oin to
ta&e a seet #romthe a at ran-om
(a) What is theproailit. that Fre-ill et a lac&seet$
nser 66666666666666666666666666
() Write the missin colo"r in the sentence elo
%he proailit. that Fre- ill et a 6666666666666666666seet is
(1m)
(1m) Write a n"mer in each ox to ma&e the calc"lations correct
(1m)
(1m)5 rectanle has an area o# 2cm2
7o lon co"l- the si-es o# the rectanle e$i!e three -i##erent examples
4
1
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Final Examination 2015 Mathematics Year 9 Paper 1
666666666666666cm an- 6666666666666666cm
666666666666666cm an- 6666666666666666cm
666666666666666cm an- 6666666666666666cm
(1m)
(1m)
(1m)
(a) Write the missin n"mers
50: o# 80 = 66666666666666666666
5: o# 80 = 666666666666666666666
1: o# 80 = 666666666666666666666
() Wor& o"t 5: o# 80
nser 666666666666666666666666
(1m)
(1m)
(1m)
(1m)
; 4oo& at this e
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5Final Examination 2015 Mathematics Year 9 Paper 1
. = 2x . = 2 / x . = x2 . =
(1m)8 %he -iaram shos #o"r -i##erent sie- arrels
Write the missin #ractions as simpl. as possile%he #irst one is -one #or .o"
(i) >arrel hol-s o# the amo"nt arrel > hol-s (ii) >arrel hol-s 6666666 o# the amo"nt arrel hol-s
(ii) >arrel > hol-s 66666666 o# the amo"nt arrel hol-s
(1m)
(1m)
2
x
2
1
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Final Examination 2015 Mathematics Year 9 Paper 1
9
(a) ?ra a line on the raph torepresent a spee- o# *0&m@ho"r
4ael the line . ritin *0&m@ho"r
() 3o -ra a line on the raph to represent a spee- o# 120&m@ho"r4ael the line . ritin 120&m@ho"r
(1m)
(1m)
10 (a) An this -esin, the ratio o# re. to lac& is * 1
What percentae o#the -esin is lac&$
nser 66666666666666666666666
() An this -esin, 0: is re. an- the rest is lac&What is the ratio o# re. to lac&$
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;Final Examination 2015 Mathematics Year 9 Paper 1
Write .o"r ratio in itssimplest #orm
nser
6666666666666666666666
(1m)
(1m)11 An a a there are onl. re-, l"e an- reen co"nters
a) A am oin to ta&e a co"nter o"t o# the a at ran-om omplete thetale elo
()
>e#ore A ta&e a co"nter o"t o# the a, A p"t one extra l"e co"nter into
the aWhat e##ect -oes this ha!e on the proailit. that A ill ta&e a re-co"nter$
%ic& (' )the correctox
(*m)
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8Final Examination 2015 Mathematics Year 9 Paper 1
(1m)12 %he -iaram shos three straiht lines
Wor& o"t thesies o#
anles a, an- c i!ereasons #or.o"r ansers
(1m)
(1m)1* (a) Bome o# the #ractions elo are smaller than %ic& (' ) them
(1m)
9
1
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9Final Examination 2015 Mathematics Year 9 Paper 1
() %o the nearest per cent, hat is as a percentae$ %ic& ( ') the correct percentae
(c) omplete the sentence elo . ritin a #ractionis hal# o# 6666666666666666666666 (1m)
(1m)1 Bol!e this e
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10Final Examination 2015 Mathematics Year 9 Paper 1
possile
nser 66666666666666666666
(1m)1; hris rea- the #irst 55 n"mers #rom a oo& o# ran-om n"mers s he
rea- each n"mer he recor-e- it in the -iaram elo
(a) What as the larest n"mer he recor-e-$
nser 6666666666666666666666
() Fin- the me-ian o# this -ata
nser 6666666666666666666666
(1m)
(1m)
18 7ere is the r"le to #i n- the eometric mean o# to n"mers
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11Final Examination 2015 Mathematics Year 9 Paper 1
For the to n"mers 10 an- x, the eometric mean is *0What is the !al"e o# x$
nser 666666666666666666666
(1m)
29 ?ra lines to match each nth term r"le to its n"merse
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12Final Examination 2015 Mathematics Year 9 Paper 1
20 %he -iaram shos a rhom"s%he mi-points o# to o# its si-es are oine- ith a straiht line
What is thesie o# anlep$
nser 66666666666666666666666
(2m)21 a contains co"nters that are re-, lac&, or reen
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1*Final Examination 2015 Mathematics Year 9 Paper 1
%here are 15reenco"nters in
the a7o man.lac&co"nters arein the a$
nser 666666666666666666666
(2m)22 7ere is a plan o# some lan-
%here ill e a #ence that is ala.s the same -istance #rom tree as#rom tree >, oin all the a. #rom one roa- to the other roa-
se compasses an- a straiht e-e to sho acc"ratel. on the planhere the #ence ill o
Yo" m"st lea!e in .o"r constr"ction lines
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1Final Examination 2015 Mathematics Year 9 Paper 1
(2m)