2004SD - QUESTIONS — SENIDR DIVISION IDOL]. Queetinne 1...

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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 marl-rs 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,I|CI1 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 rec-l1 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.

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2004SD - QUESTIONS — SENIDR DIVISION IDOL]. Queetinne 1...

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