enwaecmaths2009

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Simplify: (3 1/2 + 3 1/3) ÷ (5/6 - 2/3) A. 11/4 B. 81/2 C. 35 D. 47 In a particular year, the exchange rate of Naira (N) varies directly with the Dollar ($). If N1122 is equivalent to $ 8, find the Naira equivalent of $36. A. N8976 B. N5049 C. N140.25 D. N31.17 If log 2 == x, log 3 = y and log 7 = z, find, in terms of x, y and z, the value of log (28/3). A. 2x + y – z B. 2x + z – y C. x + y – 2z D. x + z – y. Arrange the following numbers in descending order of magnitude: 22three, 34five, 21six A. 21six, 22three 34five B. 21six, 34five 22three C. 22three 34five 21six D. 34five 21six, 22three Find the value to which N3000.00 will amount in 5 years at 6% per annum simple interest. A. N3,900.00 B. N3,750.00 C. N3,600.00 D. N3,300.00 Express the square root of 0.000144 in the standard form. A. 1.2 x 10-4 B. 1.2 x 10-3 C. 1.2 x 10-2 D. 1.2 x 10-1 Two sets are disjoint if A. they are both empty B. their union is an empty set C. their intersection is an empty set D. one of them is a subset of the other. Solve the following simultaneous equations: 2 x + 3 y = 7, X + 5 y = 0 A. x = 5, y = - 1 B. their union is an empty set C. their intersection is an empty set D. one of them is a subset of the other. If 3/2x - 2/3x = 4, solve for x A. 4/5 B. 4/13 C. 5/24 D. 13/24 The following is the graph of a quadratic function use it to answer question 10 and 11. Find the co-ordinates of point P. A. (0, 4) B. (4, 0) C. (0, - 4) D. (-4, 0)

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Find the values of x when y = 0. A. 1,3 B. 1, 4 C. 2, 3 D. 1, 6. Five bottles of Fanta and two packets of biscuits cos Ghc 6.00. Three bottles of Fanta and four packets of busicuts cost Ghc 500. Find the cost of a bottle of Fanta. A. Ghc 500 B. Ghc 1.0 C. Ghc 1.50 D. Ghc 5.00 If (2x + 3)3 = 125, find the value of x. A. 1 B. 2 C. 3 D. 4 Factorize x2 – 2x – 3xy + 6y completely. A. (x – 2) (3x – y) B. (x – 3y) (x – 2) C. (x – 2) (x + 3y) D. (3x + y) (x – 2). Which of the following illustrates the solution of ((3x+4))/2 < x + 3? A - 3 - 2 -1 0 1 2 3 4 B - 3 - 2 -1 0 1 2 3 4 C - 3 - 2 -1 0 1 2 3 4 D - 3 - 2 -1 0 1 2 3 4 The diameter of a bicycle wheel is 42 cm. if the wheel makes 16 complete revolutions, what will be the total distance covered by the wheel? [Take π = 22/7] A. 672 cm B. 1056 cm C. 2112 cm D. 4224 cm Use the information to answer questions 17 and 18. Calculate the perpendicular distance between the parallel sides. A. 3.35 cm B. 3.72 c, C. 4.50 cm D. 4.62 cm. Calculate, correct to the nearest cm2, the area of the trapezium. A. 27 cm2 B. 30 cm2 d. 36 cm2 D. 37 cm2 In the diagram, / TP / = 12 cm and it is 6 cm from O, the centre of the circle. Calculate < TOP. A. 1200 B. 900 C. 600 D. 450 The interior angles of a pentagon are (2x + 5)0, (x + 20)0 x0, (3x – 20)0 and (x + 15)0. Find the value of x. A. 800 b. 700 C. 650 D. 400

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In the diagram, IG is parallel to JJE, JEF = 1200 and FHG = 1300. Find the angle marked t. 500 B. 700 C. 800 D. 100 If M and N are two fixed points in a plane, find the locus ∟= {P : PM = PN}. A. A line equal to MN B. A line parallel to MN C. Perpendicular bisector of MN D. A circle centre P, radius MN. Find the value of x in the diagram. A. 500 B. 300 C. 220 D. 170 In the diagram, /SQ/ = 4 cm, /PT/ = 7 cm, /TR/ = 5 cm and ST//QR. If /SP/= x cm, find the value of x. A. 5.6 B. 6.5 C. 6.6 D. 6.8 Given that sin 600 = √3/2 and cos 600 = 1/2 evaluate: (1-sin⁡〖〖60〗^0 〗)/(1 + cos⁡〖〖60〗^0 〗 ) A. (2 + √3)/3 B. (1 + √3)/3 C. (1 + √3)/3 D. (2 - √3)/3 Use the diagram below to answer questions 26 and 27. Find the bearing of X from Y. A. 3000 B. 2400 C. 1200 D. 600 If /XY/ = 50 m, how far east of X is Y? A. 25.5m B. 40.6m C. 40.8m D. 43.3m In an examination, Kofi scored x% in Physics, 50% in Chemistry and 70% in Biology. If his main score for the three subjects was 55%. Find X. A. 40 B. 45 C. 55 D. 60. What I s the median of the following scores. 22, 41, 35, 63, 82, 74? A. 82 B. 52 C. 49 D. 22. Express 2.7864 x 10-3 to two significant figures. A. 0.28 B. 0.27 C. 0.0028 D. 0.0027

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If 92x = 1/3(27x), find X. A. 2 B. 1 C. – 1 D. – 2 If 85% of x is N3230, what is the value of x? A. N2745.50 B. N3714.50 C. N388.00 D. N4845.00 The capacity of water tank is 1,800 litres. If the tank is in the form of cuboid with base 600 cm by 150 cm, find the height of the tank. A. 2 cm B. 20 cm C. 200 cm D. 2000 cm. An arc of a circle subtends an angle of 600 at the centre. If the radius of the circle is 3 cm, find, in terms of π, the length of the arc. A. π cm B. 2 π cm C. 3π cm D. 6π cm Solve: (2x+1 )/6 - (3x+1 )/4 = 0 A. 1 B. (1 )/5 C. -(1 )/5 D.–1 If x is a positive integer, list the values of x which satisfy the equations 3x - 4 < 6 and x – 1 > 0. A. {1,2,3} B. {2,3} C. {2,3,4} D. {2,3,4,5}. If c and k are the roots of 6 – x – x2 = 0, find c + k. A. 2 B. 1 C. – 1 D. – 3 In the diagram, angle 2000 is subtended at the centre of the circle. Find the value of x. A. 300 B. 500 C. 800 D. 1000 Each of the interior angles of a regular polygon is 1400 . Calculate the sum of all the interior angles of the polygon. A. 10800 B. 12600 C. 18000 D. 21600 A bucket holds 10 litres of water. How many buckets of water will fill a reservoir of size 8 m x 7 m x 5m. (1 litre = 1000 cm30. A. 28 B. 280 C. 2800 D. 28000.

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A box contains black, white and red identical balls. The probability of picking a black ball at random from the box is 3/10 and the probability of picking a white ball at random is 2/5. If there are 30 balls in the box, how many of them are red? A. 3 B. 7 C. 9 D. 12 The pie chart shows the distribution of 4320 students who graduated from four departments in a university. Use the information to answer question 42 and 43. How many students graduated from the Science Department? A. 840 B. 864 C. 920 D. 960 If a student is picked at random from the four departments, what is the probability that he is not from the Education Department? A. 3/10 B. 2/9 C. 5/18 D. 7/10 Simplify: 1/2 √32 - √18 + √(2.) A. 0 B. √2 C. 2√2 D. 4√2 From the diagram, which of the following statements is/are correct? (i). XQ is a radius of a circle centre Q (II). /XQ/ = /QY/ (III). /QX/ = /XY/ A. I only B. I and II only C. II and III only D. I, II and III. Find the value of X in the diagram. 500 B. 600 C. 700 D. 800 The angles’ of a triangles are ( x+ 10)0. (2x – 40)0 and (3x – 90)0. Which of the following accurately describes the triangle? A. it is a scalene triangle B. it is a right angles isosceles triangle C. it is an equilateral triangle d. it is an isosceles triangle but not right angled. Which shaded region in the following diagrams represents (P∪Q) ∩ R? A. B. C. D. Simplify: (x – 3y)2 – (x + 3y)2. A. 2(x + 3y) B. 2(x – 3y) C. – 12xy D. 6xy. Find the quadratic equation whose roots are -1/2 and 3. B. 2x2 – 2x - 3 = 0 C. 2x2 – 5x + 3 = 0 d. 2x2 – 5x – 3 = 0.

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