enwaecmaths2012

more

Express: 302.10495 correct to five significant figures. A. 302.10 B. 302.10 C. 302.105 D. 302.1049 Simplify: (3√5 x 4√6)/(2√(2 x 3√3) ) A. √2 B. √5 C. 2√2 D. 2√5 In 1995, the enrolments of two schools X and Y were 1.050 and 1,190 respectively. Find the ratio of the enrolments of X and Y. 50 : 11 B. 15 : 17 C. 13 : 35 D. 12 : 11 4. Convert 〖35〗_10 to a number in base 2. A. 1011 B. 10011 C. 100011 D, 11001 5. The n^th term of a sequence if T_n = 5 + (〖n-1)〗^2. Evaluate T_4 - T_6. A. 20 B. 16 C. – 16 D. – 30 6. Mr. Manu travelled from Accra to Pamfokrom a distance of 720km in 8 hours. What will be his speed in m/s? A. 25 m/s B. 150 m/s C. 250 m/s D. 500 m/s 7. If N2,500.00 amounted to in 4 years N3,500.00 in 4 years at simple interest, find the rate at which the interest was charged. A. 5% B. 7½% C. 8% D. 10% 8. Solve for x in the equation: 1/2 + 2/3x = 1/3 A. 5 B. 4 C. 3 D . 1 9. Simplify: (〖54k〗^2 - 6)/(3k + 1) A. 6(1 – 〖3k〗^2) B. 6(〖3k〗^2 - 1) C. 6(3k – 1) D. 6(1 – 3k) 10. Represent the inequality – 7 < 4x + 9 ≤ 13 on a number line. A. B. C. D.

ANSWERS

11. Make p the subject of the reaction relation: q = 3p/r + s/2 A. (2q - rs)/6 B. p = 2pr - sr - 3 C. p = (2qr - rs)/6 D. p = (2qr - s)/6 12. If x + y = 2y - x + 1 = 5, find the value of x. A. 3 B. 2 C. 1 D. -1 13. The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation. A. 12n – 6 = 0 B. 3n – 12 = 0 C. 2n – 35 = 0 D. 5n – 33 = 0 14. Solve the inequality: (-m)/2 – 5/4 ≤ 5m/12 – 7/6 A. m ≥ 5/4 B. m ≤ 5/4 C. m ≥ – 1/11 D. m ≤ – 1/11 15. The curved surface area of a cylindrical tin is 704 〖cm〗^2. If the radius of its base is 8cm, find the height (Take π = 22/7). A. 14cm B. 9cm C. 8cm D. 7cm 16. The lengths of the minor and major arcs of a circle are 54cm and 126cm respectively. Calculate the angle of the major sector. A. 〖306〗^0 B. 〖252〗^0 C. 〖246〗^0 D. 〖234〗^0 17. A sector of a circle which subtends 〖172〗^0 at the centre of the circle has a perimeter of 600cm. Find, correct to the nearest cm, the radius of the circle. (Take π = 22/7). A. 120cm B. 116cm C. 107cm D. 100cm 18. In the diagram, /QR/ = 10m, /SR/ = 8m, ∠QPS = 〖30〗^0, ∠QRP = 〖90〗^0 and /PS/ = x. Find x. A. 1.32cm B. 6.32cm C. 9.32cm D. 17.32cm 19. In ∆XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relations is true? A. /XY/ + /YZ/ = /XZ/ B. /XY/ - /YZ/ = /XZ/ C. 〖/XZ/〗^2 = 〖/YZ/〗^2 - 〖/XY/〗^2 D. 〖/YZ/〗^2 = 〖/XZ/〗^2 - 〖/XY/〗^2 20. In the diagram, O is the centre of the circle PQRS and ∠PSR = 〖86〗^0. If ∠POR = x^0, find x. A. 274 B. 172 C. 129 D. 68

ANSWERS

21. In the diagram is a circle O. If ∠SPR = 2m and ∠SQR = n, express m in terms of n. A. M = n/2 B. m = 2n C. n = n – 2 D. m = n + 2 22. In the diagram, MQ//RS, ∠TUV = 〖70〗^0 and ∠RLV = 〖30〗^0. Find the value of x. A,〖150〗^0 B, 〖110〗^0 C, 〖100〗^0 D. 〖95〗^0 23. In the diagram, MN, PQ, and RS are three intersecting straight lines. Which of the following statement(s) is/are true? I. t=y II. x+y III. x+m+n = 1800 IV. x+n = m +z A. I and IV only B. II only C. III only D. IV only 24. If cos (x + 400) = 0.0872, what is the value of x? A. 850 B. 750 C. 650 D. 450 25. A kite flies on a taut string of length 50 m inclined at an angle of 540 to the horizontal ground. The height of the kite above the ground is A. 5o tan 360 B. 5o sin 540 C. 5o tan 540 D. 50 sin 360. 26. The positions of three ships P,Q and R at sea are illustrated in the arrows indicate the North direction. The bearing of Q from P is 0500 and < PQR = 720. Calculate the bearing of R from Q. A. 1300 B. 1580 C. 2220 D. 2520. 27. Given that the mean of the scores 15, 21, 17, 26, 18 and 29 is 21, calculate the standard deviation of the scores. A. √10 B. 4 C. 5 D. √30 28. A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of pricking balls of different colours. A. 8/15 B. 13/25 C. 11/15 D. 13/15 The bar chart shows the frequency distribution of marks scored by students in a class test. Use the bar chart to answer questions 29 to 31. 29. How many students are in the class? A. 10 B. 24 C. 25 D. 30 30. Calculate the median of the distribution? A. 6.0 B. 3.0 C. 2.4 D. 1.8

ANSWERS

31. What is the median of the distribution? A. 2 B . 4 C. 6 D. 8 32. Which of these statements about y = 8√m is correct? A. log y = log 8 x log √m B. □(log⁡〖y=3 log⁡〖2 x 〗〗 1/2 log⁡m ) C. □(log⁡〖y=3 log⁡〖2- 〗〗 1/2 log⁡m ) D. □(log⁡〖y= 3 log⁡〖 2 ÷ 〗〗 1/2 x,) find the value of (x +y). 34 Express 3 – ((x -y)/y) as a single fraction. A. (3xy/y) B. ((x -4y)/y) C. ((4y+x)/y) D. ((4y+x)/y) 35. Find the coefficient of m in the expansion of (m/2 -1 1/2 )(m+2/3 ). A. 1/6 B. -1/2 C. -1 D. -1 1/6 36. In the diagram, MN//PO, < PMN = 1120, < PNO = 1290, < NOP = 370 and < MPN = y, Find the value of y. A. 510 B. 540 C. 560 D. 680 37. If P = {prime factors of 210} and Q = {prime numbers less than 10}, find P∩Q. A. {1,2,3} B. {2,3,5} C. {1,3,5,7} D. {2,3,5,7} 38. Alfred spent 1/4 of his money on food, 1/3 on clothing and saved the rest. If he saved N72,000.00, how much did he spend on food? A. N43,200.000 B. N43,000.00 C. N42,200.00 D. N40,000.00 39. Solve: (27/125) ^(-1/3) x (27/125) ^(-1/2) A. 10/9 B. 9/10 C. 2/5 D. 12/125 40. The sum of the interior angles of a regular polygon is 18000. How many sides has the polygon?

ANSWERS

41. The diagram is a circle with centre O. PRST are points on the circle. Find the value of < PRS. A. 1440 B. 720 C. 400 D. 360 42. The diagram is a circle of radius |OQ| = 4cm. TR is a tangent to the circle at R. if TPO = 1200, find |PQ|. A. 2.32cm B. 1.84cm C. 0.62cm D. 0.26cm 43. If x and y are variable and k is a constant, which of the following describes an inverse relationship between x and y? A. y = kx B. y=k/x C . y=k√x D. y=x+k 44. In the diagram, |SR| = |QR| < SRP = 650 and < RPQ = 480, find < PRQ. A. 600 B. 450 C. 250 D. 190 The graph is that of y = 2x2 – 5x – 3. Use it to answer questions 45 and 46. 45. For what values of x will y be negative? A. -1/2 ≤x ≤3 B. -1/2 46. What is the gradient of y = 2x2 – 5x – 3 at the point x = 4? A. 11.1 B. 10.5 C. 10.3 D. 9.9 47. The diagram is a polygon. Find the largest of its interior angles. A. 300 B. 1000 C. 1200 D. 1500 48. The volume of a cuboid is 54 cm3. If the length, width and height of the cuboid are in the ratio 2 : 1 : 1 respectively, find the its total surface area. A. 108 cm2 B. 90 cm2 C. 80 cm2 D. 75 cm2 49. a side and diagonal of a rhombus are 10 cm and 12 cm respectively. find its area. A. 20 cm2 B. 24 cm2 C. 48 cm2 D. 96 cm2 50. Factorize completely: 32x^2 y- 48x^3 y^3 A. 16x^2 y (2-3xy^2) B. 〖8xy (4x-6x〗^2 y^2 C. 8x^2 y (4-6xy^2) D. 16〖xy (2x-3x〗^2 y^2

ANSWERS