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Unformatted text preview: QUESTIONS — SENIDR DIVISION IDOL]. Queetinne 1 — 1t], 3 marks each 2004 + [i .
. The value of W 15
{A} 30 {B} 2.1 {C} 201 {D} 211.1 {E} 2.01 . The value of is closest to {A} U {El 1 EC} 2 [D] 3 {E} 4
. Ify=ﬁm andz=2—3y,thenzeque13 {A} El: (B) 2 — 3: [C] 3.3 — 2 {D} 2 + 3.1: {E} 2 — 93 . The value of 2: in the diagram 60:!
i3 (3)33 [B] me (e) 33
{e133 (EJTD 4U” .If2w+3}t}then
(3)333 (3)353 {C3333 {Djxeﬂ (31353
.If215=4x2“,whatiethevalueefn? {A} 11 [B] 13 [e]: 14 (D) 13 (E) 17 . A rectangle has its length 25 times its width. th'het is the ratio of
its perimeter to the perimeter ef the square of the same area? (3)133 [13111313 (0)3:1 [D}51:2[‘1 {E}51:1ﬂ . If a person’s wage me 243% to $3130 per week, the wage before the rise was (A) 3333 (3)3333 {e} 3313 {D} 3333 {E} 3323 21 9. 1D. 11. 12. 13. 14. I have a patio which is 3m 1wide. The roof of this consists of sheets
of plastic which are Qﬂilmm wide. I have used as few sheets as
possible and made all overlaps the same width. 'What is the width,
in millimetres, of this ovarlap‘? in} ice {a} 150 {n} can (n) 25a {a} sac Consider the ﬁve expressions «ii, :3, i, m3 and 23:. If :r .1:— 2 and these ﬁve expressions are arranged in ascending order of magnitude,
the middle one will he (s) as {B} e {G} g (In mi {E} 23 Questions 11 r 20, 4 marks each As one way of saving water during the drought, Hoiiy changed from
using the washing machine three thnes a week to using it once every
three days. If the machine uses 12FJL of water each time, over a
long period the average number of litres saved each week was [a]: EU [3] T2 [U] 80 {D} 9!] {E} 96 1Which of the following is the sum of four consecutive integers? {Macao {swam [ejects {manna {niacin The yearly changes in population of a. mining town for four cun—
secotive years were, respectively, 20% increase, 20% increase, 20%
decrease and 23% decrease. The net change over the four years, to
the nearest percent, was {A} —s {a} —4 {C} o {n14 {E} s In the diagram, the value of s; is 90° 50° {a} so {13] 120 [{2} 135 1 1
{o} ens (E) 14:} In 22 16. In the country Roadonia there 15. 'I‘wn ordinary dice are tossed and the diﬁerence between the num hers appearing uppermost on the dice is recorded. What difference
is most likely to occur? {it} o {B} 1 (Ci 2 [Di 3 (E214 are exactly 20 cities and 31 roads
connecting neighbouring cities as
shown in the diagram. Unfortu—
nately, ali the roads are in bad
condition and need repair. What
is the maximum number of roads
which can he closed for repair at
the same time so that it is still
possible to travel from each city to any other along roads? {it} in {a} 12 {e} 13 to} 14 {a} 16 17. Natural fruit juice contains 30% water. In concentrating the juice, 75% of the water is removed. What is the percentage of water in
the concentrated juice? {A} as {a} to {n} so in} an {E} is 18. John tells the truth on Monday, Tuesday, Wednesday and Thurs day. He lies on all other days. Dieter tells the truth on Monday,
Friday, Saturday and Sunday. He lies on all other days. One day
they both said, ‘Yesterday I lied‘. The day thcy said that was {A} Monday {B} Wednesday ED} Friday [E] Saturday [Cl Thursday 19. If a, h and c are positive integers such that 1
.+_,=;s,
a+— 5
c
thenn+b+cisequal to
[A] 10 {B} 16 [Cl 21 {D} 14 {E} 11 23 ED. Four 10c coins lie on a table as shown.
Keeping in contact with the other three
coins1 the shaded coin is rolled around
the other three coins until it returns to
its starting place. Through what angle
does the shaded coin turn1 on its axis1
in rolling once around the other three
coins? {to 300° {n} 900° {a} 1000“ {a} 040" {C} not Questions 21 — 3D, 3 marks each correct response, {I marks 21. 22. 23. each incorrect response, 3 marks each no response,
30 marlrs minimum let PQRSTU he a convex hexagon [every angle is less than 130°}.
The lines deﬁned by the sides PQ. RS and TU intersect at the
vertices of an equilateral triangle and so do the lines formed from
the sides QR, ST and UP. At most, how manyr diﬂ'erent angle
sizes does the hexagon have? {A} 1 (Bi 2 {U} 3 ED} 4 {El 5 Ann, Ben and Cathy have their birthday today. The sum of their
ages is 23. The product of their ages is 113 more than the product
of their ages on their birthday last year. What is the sum of the squares of their ages?
{A} sea {a} let to} me Some corners are cut elf four cubes. Afterwards, only two of the
solids formed are the same shape. Which two are they? ®®®® [e] QandR (n) 241 {E1259 {n} P and o {a} P and n {D}FandS [E}Qanr15 24 24. 2E. 25. 27. 28. The integers 1, 2, 3, _ . . 1 Hill are written on the hoard. What is
the smallest number of these integers that can be wiped off so that
the product of the remaining integers ends in 2? [on 22 {o} 23 {A} 20 (a) 21 In the diagram. the square circum—
scribes the circle, UT is tangent to the
circle and RU is one quarter of RE. What fraction of R0 is RT?
1 2
{All 3; (El 5 0:0 % (E: 3 [Ci 3 5 Seven numbers, each 1 or —11 are listed in a ronr in such a way
that adding the numbers successively from left to right never givre
anegative answer. For example1 1 —l 1 1 —1 —l 1 has suooessive
sums 1,11. 11 2, 11 ﬂ, 1 and is valid. while 11—1—1—lil has
sueoessive sums 1T 2, 1.. ﬂ, —1,ICI1 l, and is not valid. How many
valid lists are there? (it) as {a} 34 [o] 33 to} so {E} 31 What is the largest possible size of an angle of a triangle formed
by joining the midpoiats of three edges of a cube? (A) till” {B} Ell)“ {C} 12D“ [D] 135‘> [El 150”
There are exactly 3 integers :1: satisfying the inequality
2:2 + in: + 2 5 D.
How many integer values of i: are poﬁihle?
{A} El {B} 1 [Cl 2 {D341 {E} 9
2.5 as. The smallest possible value that A N s W E R S W+ {r H 1}2 + 19+ 2:2 + [y — 132+ (m — 332 + [a  4}? can have is (A) s (a) 4 + ls {c} e {n} s + v5 is} 7 3t]. Lois and Ben are playing a. game with recl1 yellow. green and blue
counters. They are making as long a line as possible while obeying
the following two 11.1115: {lj No two adjacent oonnters can be the same colour.
{2] If. in the sequence1 any colour oocurs twice, no colour
between them can soon: elsewhere. Thus rygbgg would be banned by only the ﬁrst rule1 and rhgyghrg
would be banned by onlyr the second rule. Lois has started her line with ryr and Ben has started his with syn.
Which of the following statements is true? _,_.. {A} It is pomible for Lois to make a longer sequence than Ben can
make. {B} It is possible for Ben to make a longer sequence than Lois can
make. (C) It is pomible for both to make sequences of length Ii, but no
longer. {D} It is possible for both to make sequences of length "I". but no
longer. {E} There is no limit on the length of the sequence either can
make. 25 2? ...
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This note was uploaded on 09/27/2010 for the course 456 9852 taught by Professor Chaohue during the Spring '10 term at Mackenzie.
 Spring '10
 ChaoHue

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