WASSCE 2005

Objectives



Correct 0.04945 to two significant figures. A. 0.040 B. 0.049 C. 0.050 D. 0.49 Simplify: 5/√3 - 3/√2 A. 1/√6 (5√3 - 3√(2)) B. 1/√6 (15√3 - 6√(2)) C. 1/√6 (3√2 - √(3)) D. 1/√6 (10√2 - 9√(3)) Evacuate, correct to the nearest whole number. 71/2 - (2 1/2+ 3) + 33/2 A. 33 B. 8 C. 7 D. 0 Simplify the expression log1018 – log102.88 + log1016. A. 31.12 B. 3.112 C. 2 D1 Find the equation whose roots are 2 and -31/2 A. 2x2 + 3x + 14 = 0 B. 2x2 + 5x + 7 = 0 C. 2x2 + 5x - 7 = 0 D. 2x2 + 3x - 14 = 0 A man bought 220 mangoes roots at N5x. He sold each for 3x kobo and made a gain of N8. Find the value of x. A. 2 B. 5 C. 6 D. 10 From a point P, R is 5 km due west and 12 km due south. Find the distance between P and R. A. 5 km B. 12 km C. 13 km D. 17 km. A fair die is tossed once, what is the probability of obtaining neither 5 nor 2? A. 5/6 B. 2/3 C. 1/2 D. 1/6 9. In the diagram, KL/MN. < l KP = 300 and < NMP = 450. Find the size of the reflex < KPM. A. 2850 B. 2550 C. 2250 D. 2100 10. In the diagram, PR is a diameter, < PRQ = 3x-8)0 and < RPQ = (2y – 7)0. Express x in items of y. x = (75 - 2y)/3 x = (105 - 3y)/2 x = (105 - 2y)/3 x = (75 - 3y)/2



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Covert 101101two to a number in base ten. A. 61 B. 46 C. 45 D. 44 Solve the equation 2r = 86 – x 5/8 B. 8/3 C. 3/2 D. 15/4 Expand (2x – 3y) (x – 5y) A. 2x2 + 13xy - 15y2 B. 2x2 – 13xy – 15y2 C. 2x2 + 13xy + 15y2 D. 2x2 – 13xy + 15y2 Make f the subject of the relation v = u + ft. A. (v - u)/t B. (u - v)/t C. t(v + u) D. (v )/t - t The probabilities that John and James pass an examination are 3/4 respectively. find the probability of both boys failing the examination. A. 1/10 B. 3/10 C. 9/20 D. 11/20 In the diagram, PQ and MN are straight lines. Find the value of x. 130 170 280 300 In the diagram, PQRS is a parallelogram and < QRT = 300. Find x. A. 950 B. 1000 C. 1200 D. 1500 From a point R, 300 m north of P, man walks eastwards to a place Q which is 600 m from P. find the bearing of P from Q, correct to the nearest degree. A. 0260 B. 0450 C. 2100 D. 2400 The length of the adjacent sides of a right-angled triangle are x cm, (x – 1) cm. if the length of the hypotenuse is √13cm, find the value of x. A. 2 B. 3 C. 4 D. 5 What is the diameter of a circle of area 77 cm2? (Take π = 22/7) A. √2/7cm B. 3√1/2 C. 7cm D. 7√2cm



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Solve for y in the equations: 2x – 3y =22 3x + 2y = 7 A. – 5 B. – 4 C. 4 D. 5 Solve for y in the equation (2y - 1)/3 - (3y - 1)/4 = 1 A. – 8 B. – 13 C. 13 D. 19. In the diagram, O is the centre of the circle, < MON = 800, < LMO = 100 and < LNO = 150. Calculate the value of x. 400 500 550 750 If loggx = 1.5, find x. 36 B. 27 C. 24.5 D. 13.5 A sequence is given by 21/2 , 5, 71/2…….. If the nth term is 25, find n. A. 9 B. 10 C. 12 D. 15 Given that one of the roots of the equation 2x2 + (k + 2)x + k = 0 is 2, find the value of k. A. –4 B. –2 C. –1 D. – 1/4 The figure shows a quadrilateral PQRS having equal sides and opposite sides parallel. The diagonals PR and QS intersect perpendicularly at O, which of the following statements cannot be correct? |PO| = |RO| PQR is an equilateral triangle PQRS is a parallelogram There are two lines of symmetry. Find the mean of the numbers 1,3,4,8, 8, 4 and 7. A. 4 B. 5 C. 6 D. 7 What is the total surface area of a closed cylinder of height 10 cm and diameter 7 cm? [Take π=22/7] A. 77 cm2 B. 227 cm2 C. 297 cm2 D. 374 cm2 An arc of a circle of radius 14 cm subtends angle 3000 at the centre. Find the perimeter of the sector formed by the arc. (Take π = 22/7) A. 14.67 cm B. 42.67 cm C. 101.33 cm D. 513.33 cm


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The figure is the graph of a quadratic equation. Use the information to answer questions 31 and 32 What are the roots of the equation? A. – 1 and 1 B. 4 and – 1 C. 1 and 4 D. 4 and 4 What is the equation of the curve? A. y = x2 + 6x + 4 B. y = x2 – 5x – 4 C. y = x2 – 5x + 4 D. y = x2 + 5x – 4 Which of the following statements describes the locus of a pint R which moves in a plane such that it is equidistant from two intersecting lines? The bisector of the angles formed by the lines The point of intersection of two lines A cone, with the two intersecting lines as slant heights. A circle, with the point of intersection of the two lines as the centre. .P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subsets of the universal set ɛ = {1, 3, 7, 9, 11, 13, 15}. Find P1 ∩ Q1 A. {3, 9} B. {5, 7, 15} C. {1} D. {1, 11}. A train moving at a uniform speed, covers 36 km in 21 minutes. How long does it take to cover 60 km? A. 35 minutes B. 40 minutes C. 45 minutes D. 90 minutes The salary of a man was increased in the ratio 40:47. Calculate the percentage increase in the salary. A. 85.1% B. 58.5% C. 17.5% D. 14.9% A regular polygon has 9 sides . what is the size of one of its exterior angles? A. 200 B. 400 C. 900 D. 1400 Simplify: 2/3xy - 3/4yz A. (2 - x)/(12 xyz) B. (2z - 3x)/(12 xyz) C. (4z- 3x)/12xyz D. (8z - 9x)/12xyz m long, 5 m wide and x m high is 90 m value of x A. 2/3 B. 2 C. 4 D. 8 The bar chart shows the pocket money received by students in a class in a week. Use the bar chart to answer questions 40 and 41. AMOUNT IN NAIRA Find the total number of students in the class. A. 27 B. 31 C. 33 D. 34



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How many students received N300 or N500 for a week? A. 7 B. 11 C. 18 D. 19 In the diagram PQRS is a circle, |PT| = |QT| and < QPT = 700 = 700. What is the size of < PRS? A. 400 B. 700 C. 800 D. 1400 The angle of elevation of the top of a cliff 15 meters high from a landmark is 600. How far is the land-mark from the foot of the cliff? Leave your answer in surd form. A. 15√3m B. 15√2m C. 10√3m D. 5 √3m For what values of y is the expression (6y - 1)/(y^2- y-6) not defined? A. 1/6,1/6 B. 3, – 2 C. – 3, 2 D. 0, 1 XOY is a sector of a circle O of radius 3.5 cm which subtends an angle of 1440 at the centre. Calculate, in terms of π, the area of the sector. A.1.4 π cm^2 B. 2.8π cm^2 C. 4.9π cm^2 D. 9.8π cm^2 Represent the solution of 3x+15 > 0 on a number line. A rectangular packet has inner dimension 16 cm by 12 cm by 6 cm. how many cubes of sugar of side 2 cm can be neatly packed into the packet? A. 90 B. 144 C. 150 D. 288 If y α 1/x^2 and y 1 1/4 when x = 4, find the value of y when x = 1/2. A. 21/2 B. 5 C. 10 D. 80 Ladi sold a car for N84,000 at a loss of 4%. How much did Ladi buy the car? A. N80,500 B. N80,640 C. N87,360 D. N87,500 The monthly salary of a man increased from N2,700 to N3,200. Find the percentage increase. A. 10% B. 15% C. 15.6% D. 18.5%



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