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1. Evaluate (0.13)3 correct to three significant figures. A. 0.00219 B. 0.00220 C.0.00300 D. 0.0390 2. Simplify 〖11011〗_two – 〖1101〗_two A. 〖101000〗_two B. 〖1100〗_two C. 〖1110〗_two D. 〖1011〗_two 3. Simplify: (〖25〗^□(2/3) + )/((〖1/5)〗^□((-7)/6) X) (〖25〗^□(1/3) )/((〖1/5)〗^□(1/6) ) A. 25 B. 1 C. 1/5 D. 1/25 4. Simplify: (x - 4 )/4 – (x - 3 )/6 A. (x - 18 )/12 B. (x - 6 )/12 C. (x - 18)/24 D. (x - 6)/24 Given that y = 1 - (2x )/(4x - 3) , find the value of x for which y is underlined. A. 3 B. 3/4 C. -3/4 D. – 3 6. P is a point on the same plane with a fixed point A. If P moves such that it s always equidistant from A, the locus of P is A, a straight line joining A and P B. the perpendicular bisector of AP C. a circle with centre A D. the triangle with centre P 7. A fair coin is tossed three times. Find the probability of getting two heads and one tail. A. 1/2 B. 3/4 C. 1/4 D. 1/8 8. If 30% of y is equal to x, what, in terms of x, is 30% of 3y? A. x/9 B. x/3 C. x D. 3x 9. A baker used 40% of a 50kg bag of flour. If 1/8 of the amount used was for cake, how many kilograms of flour was used for cake? A. 2½ B. 6_4^1 C. 〖15〗_8^5 D. 〖17〗_2^1 10. If tan y = 0.404, where y is acute, find cos 2y. A. 0.035 B. 0.719 C. 0.808 D. 0.927

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11. In the diagram, PQUV, PQTU, QRTU and QRST are parallelograms. / UV/ = 4.8cm and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV. A. 96〖cm〗^2 B. 72〖cm〗^2 C. 60〖cm〗^2 D. 24〖cm〗^2 12. Which of these diagrams show(s) the correct method of constructing a perpendicular line to another line PQ at a given point X on PQ? A. I only B. II only I and II only D. I, II and III I II III 13. In them diagram. /QR/ = 5cm, PQR = 〖60〗^0 and PSR = 〖45〗^0. Find /PS/, leaving your answer in surd form. A. 4√5 cm B. 3√7 cm C. 4√6 cm D. 5√6 cm 14. Represent the solution of the inequality (x - 2)/2 ≥ (x + 3)/4 on the number line. A. B. C. D. 15. In this diagram, PQ//RS, find x^2+ y^2 A. 〖360〗^0 B. 〖300〗^0 C. 〖270〗^0 D. 〖180〗^0 16. The ratio of boys to girls in a class is 5:3, find the probability of selecting at random, a girl from the class. A. 1/8 B. 1/3 C. 3/8 D. 3/5 17. In the diagram, PR is a diameter of the circle centre O. RS is a tangent at R and QPR = 580. Find < QRS. A. 1120 B. 1160 C. 1220 D. 1480 The table below satisfies the relation y = k √(x,) where k is a positive constant. Use it to answer questions 18 and 19. x 1 4 P y 0.5 1 2.5 18. Find the value of k. A. 0.5 B. 1 C. 1.5 D. 2 19. Find the value of P. A. 2 B. 4 C. 10 D. 25. 20. What must be added to x2 – 3x to make it a perfect square? A. 9/4 B. 9/2 C. 6 D. 9.

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21. In the diagram P,Q,R,S are points on the circle, RQS = 300, PRS = 500 and PSQ = 200. A. 2600 B. 1300 C. 1000 D. 800 22. Given that (2x – 1)(x + 5) = 2x2 – mx – 5, what is the value of m? A. 11 B. 5 C. –9. D. – 10 23. What is the place value of 9 in the number 3.0492? A. 9/10000 B. 9/1000 C. 9/100 D. 9/10 24. If the simple interest on a sum of money invested at 3% per annum for 2½ years is N123, find the principal. A. N676.50 B. 820 C. 1,640 D. 4,920 25. A machine values at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years? A. N16,200 B. 14,200 C. N12,000 D. N8,000 26. If 2x + y = 10, and y ≠ 0, which of the following is not a possible value of x? 27. In the diagram, P, Q and R are three points in a plane such that the bearing of R from Q is 1100 and the bearing of Q from P is 0500. Find angle PQR. 600 700 1200 1600 28. If x + y = 12 and 3x – y = 20, find the value of 2x – y. A. 8 B. 10 C. 12 D. 15. Use the graphs below to answer questions 29 and 30. 29. What is the equation of the curve? A. y = 3 + 2x – x2 B. y = 3 – 2x – x2 C. y = x2 + 2x – 3 D. y = x2 + 2x + 3 30. Which of these equations best describes the points of intersection of the curve and the line? A. x2 + 5- 6 = 0 B. x2 - 5x – 6 = 0 C. x2 + x – 6 = 0 D. x2 – x – 6 = 0

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31. If loga270 - loga 10 + loga 1/3 = 2, what is the value of a? A. 3 B. 4 C. 5 D. 6 32. A conical water-jug is 7 cm in diameter and 6 cm deep. Find the volume of water it can hold. (Take π = 22/7) A. 22 cm3 B. 44 cm3 C. 77 cm3 D. 308 cm3. The histogram shows the marks scored by a group of pupils in a test. Use the information provided to answer questions 37 and 38. 33. In the diagram, the two circles have a common centre O. if the area of the larger circles is 100π and that of the smaller circle is 49 π, find x. A. 2 B. 3 C. 4 D. 6. 34. If P = [(Q(R-T))/15] □(1/3), make T the subject of the relation. A. T = (R+ P^3)/15Q B. T = (R-15P^3)/Q C. T = R - (15P^3)/Q D. T = (15R- Q)/P^3 35. In the diagram, PQR is a straight line, QRST is a parallelogram, < TPQ = 720 and < RST = 1260. What type of triangle is ∆PQT? A. An equilateral triangle B. A right-angled triangle C. An isosceles triangle D. A scalene triangle 36. A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price? A. 1:4 B. 1:5 C. 3:4 D. 4:5 37. How many pupils took the test? A. 36 B. 38 C. 39 D. 40 38. If the pass mark was 4, what percentage of the pupils failed the test? A. 20.0% B. 37.5% C. 62.5% D. 80.0% 39. Find the nth term of the sequence 5, 10, 20, 40, 80,… A. 5 x 2n+1 B. 2 x 5n-1 C. 5 x 2n-1 D. 5 x 5n-1. 40. The diagram shows an arc MN of a circle, centre O, with radius 10 cm. if

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41. The wheel of a tractor has diameter 1.4 m. What distance does it cover in 100 complete revolutions? (Take π = 22/7) A. 140 m B. 220 m C. 280 m D. 440 cm 42. If P = { 1, 3, 5, 7, 9} and Q = { 2, 4, 6, 8, 10} are elements of P^1∩Q^1? A. { 1, 3, 5, 7, 9} B. {2, 4, 6, 8, 10} C. ∅ D. {1, 2, 6, 8, 10} 43. In the diagram, what is x + y in terms of z? A. 1800 – z B. 1800 + z C. z – 1800 D. z 44. The values of three angles at a point are 3y – 450, y + 250 and y0. Find the value of y. A. 400 B. 580 C. 680 D. 760 45. A rectangular carpet 2.5 m long and 2.4 m wide covers 5% of a rectangular floor. Calculate the area of the floor. A. 30 m2 B. 57 m2 C. 120 m2 D. 225 m2 46. In the diagram, │XY│ = 12 cm, │XZ│ = 9 cm, │ZN│ = 3 cm and ZY ││NM. Calculate │MY│. A. 3 cm 47. Which of the following is not a measure of central tendency? A. mean B. mode C. range D. median 48. The temperature in a chemical plant was –50C at 2.00am. The temperature fell by 60C and then rose again by 70C. What was the final temperature? A. –60C B. –40C C. 40C D. 80 C. 49. Simplify: 20/(5√(28-2√63) ) A. (5√7)/7 B. (5√6)/7 C. (7√5)/7 D. (7√7)/7 50. A ladder 16 m long leans against an electric pole. If the ladder makes an angle of 650 with the ground, how far up the electric pole does its top reach? A. 6.8 m B. 14.5 m C. 17.7 m D. 34.3 m.

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