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Simplify 0.000215 x 0.000028 and express your answer in standard form. A. 6.03 x 100 B. 6.02 x 109 C. 6.03 x 10-9 d. 6.02 x 10-9 Factorise: x + y – ax – ay A. (x – y) (1 – a) B. (x + y) (1 +a) C. (x+y) (1-a) D. x-y) (1+a In the diagram, < PSR = 220 , 410 Calculate the obtuse angle QRS. A. 990 B. 1000 C. 1210 D. 1650 The bar chart shows the marks distribution in an English test. Use it to answer questions 4 and 5. If 50% is the pass mark, how many students passed the test? A. 100 B. 85 C. 80 D. 70 What percentage of the students had marks ranging from 35 to 50? A. 551/3% B. 60% C. 65% D. 662/3% A car uses one litre of petrol for every 14 km. if one litre of petrol costs N63.00, how far can the car go with N900.00 worth of petrol? A. 420km B. 405km C. 210 km D. 200km Correct 0.002473 to 3 significant figures. A. 0.002 B. 0.0024 C. 0.00247 D. 0.0025 Simplify: 11/2 + 21/3 x 3/4 - 1/2 A. -21/3 B. -21/4 C. 21/8 D. 23/4 The sum of 2 consecutive whole numbers is 5/6 of their product. Find the numbers. A. 3, 4 B. 1,2 C. 2,3 D. 0,1 What is the value of m in the diagram? A. 200 B. 300 C. 400 D. 500

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In the diagram, QR// ST, /PQ/ = /PR/ and < PST = 750. Find the value of y. A. 1050 B. 1100 C. 1300 D. 1500 A casting is made up of Copper and Zinc. If 65 of the casting is Zinc and there are 147g of Copper, what is the mass of the casting? A. 320 g B. 420 g C. 520 g D. 620 g. Given that P = {x: 1< x < 6)} and Q = {x:2 < x < 10}. Where x is an integer. Find n {P ∩ Q). A. 4 B. 6 C. 8 D. 10 The sum of 6 and one-third of x is one more than twice x. Find x. A. x = 7 B. x = 5 C. x = 3 D. x = 2 Given that T = {x:-2< x < 9} where x is an integer. What is n (T) ? A. 9 B. 10 C. 11 D. 12 Solve the inequality: 3(x+1) < 5(x+2) + 15. A. x > - 14 B. x < - 14 C. x < - 11 D. x > - 11. An empty rectangular tank is 250cm long and 120cm wide. If 180 litres of water is poured into the tank, calculate the height of the water. A. 6.0 cm B. 5.5 cm C. 5.0 cm D. 4.5 cm Given that (5n+3)/(25n-3) = 50, find n. A. n = 1 B. n = 2 C. n = 3 D. n = 5. Number of pets 0 1 2 3 4 Number of students 8 4 5 10 3 The table shows the number of pets kept by 30 students in a class. If a student is picked at random from the class, what is the probability that he/she kept more than one pet? A. 1/5 B. 2/5 C. 1/5 Simplify: 2√3 - 5√(6/5) + √(3/27). A. 1 B. 1/3 √3 C. 2√3 - 5 2/3 D. 6√3 – 17

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21. In the diagram, triangles HKL and HIJ are similar. Which of the following ratios is equal to LH/JH? A. KL/JI B. HK/JK C. JI/KL D. HK/LK 22. In the diagram, the tangent MN makes an angle of 550 which chord PS. If O is the centre of the circle, find < RPS. A. 550 B. 450 C. 350 D. 250 23. Simplify: 2/(2+x )+ 2/(2- x ) A. 4/(4 - x^2 ) B. 8/(4 - x^2 ) C. 4x/(4- x^2 ) D. (8-4x)/(4- x^2 ) 24. A rectangle has length x cm and width (x – 1) cm. if the perimeter is 16 cm, find the value of x. A. 3 1/(2 ) cm B. 4 cm C. 4 1/(2 ) cm D. 5 cm 25. Given that tan x = 1, where 00 < x < 900, evaluate (1- sin^(2 ))/(cos⁡〖 x〗 ). A. 2 √2 B. √2 C. √(2/2) D. 1/2

26. If sin 3y = cos 2y and 00 < y , find the value of y. A. 180 B. 360 C. 540 D. 900 27. The sum of the exterior angles of an n-sided convex polygon is half the sum of its interior angles. Find n. A. 6 B. 8 C. 9 D. 12 28. What is the length of a rectangular garden whose perimeter is 32 cm and area 39 cm? A. 25 cm B. 18 cm C. 13 cm D. 9 cm. 29. If y = 2(√(x^2 + m)/3N), make x the subject of the formula. A. √(9y^2 N^2 -2m)/2 B. √(9y^2 N^2+ 2m)/2 C. √(9y^2 NT^2- 4m)/2 D. √(9y^2 N^2+4m)/2 30. The nth term of the sequence: -2, 4, - 8, 16, … is given by A. Tn = 2n B. Tn = (-2)n C. Tn = (-2n) D. Tn = n2

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31. In the diagram, 0 is the centre of the circle of the circle. < SQR = 600, < SPR = y and M < SOR = 3 x. Find the value of (x + y). A. 1100 B. 1000 C. 800 D. 700 32. How many time, correct to the nearest whole number, will a man run round a circular track of diameter 100 m to cover a distance of 1000 m? A. 3 B. 4 C. 5 D. 6 33. The shaded portion in the diagram is the solution of A. x + y < 3 B. x + y < 3 C. x + y > 3 D. x + y > 3 34. In the diagram, /EF/ = 8 cm, /FG/ = x cm, /GH/ = (x + 2) cm, < EFC = 900 . if the area of the shaded portion is 40 cm2, find the area of ∆EFG. A. 128 cm2 B. 72 cm2 C. 64 cm2 D. 32 cm2 35. In the diagram, GI is a tangent to the circle at H. If EFI/GI, calculate the size of < EHF. A. 1260 B. 720 C. 540 D. 280 36. Bala sold an article for N6,900.00 and made a profit 15%. If he sold it for N6,600.00 he would make a: A. profit of 13%. B. loss of 12% profit of 10% D. loss of 5%. 37. In the diagram above, < ROS = 660 and < POQ = 3x. Some construction lines are shown. Calculator the value of x A. 100 B. 110 C. 220 D. 300 38. The mean age of R men in a club is 50 years. Two men, aged 55 and 63, left the club and the mean age reduced by 1 year. Find the value of R. A. 18 B. 20 C. 22 D. 28 x 0 2 4 6 y 1 2 3 4 The table is for the relation y = mx + c where m and c are constants. Use it to answer questions 39 and 40. 39. What is the equation of the line described in the table? A. y = 2x B. y = x + 1 C. y = x D. y = 1/2 x + 1 40. What is the value of x when y = 5? A. 8 B. 9 C. 10 D. 11

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41. The diagram is a net of a right rectangular pyramid. Calculate the total surface area. A. 208 cm2 B. 112 cm2 C. 92 cm2 D. 76 cm2 42. The diagram shows a rectangular cardboard from which a semi-circle is cut off. Calculate the area of the remaining part. A. 44 cm2 B. 99 cm2 C. 154 cm2 D. 165 cm2 43. The subtraction below is in base seven. Find the missing number. ■( 5&1&6@-2&6&4@ +2&*&1) ■(2@4@5) A. 2 B. 3 C. 4 D. 5 44. In the diagram, 0 is the centre of the circle. Find the value of x. A. 34 B. 29 C. 17 D. 14 45. If the sum of the roots of the equation (x – p) (2x + 1) = 0 is 1, find the value of p. A. 11/2 B. 1/2 C. - 1/2 D. -1 1/2 46. In the diagram, < WOX = 600, < YOE = 500 and < OXY = 300. What is the bearing of x from y? A. 3000 B. 2400 C. 1900, D. 1500 47. In an athletic competition, the probability that an athlete wins a 100 m race is 1/8 and the probability that he wins in high jump is 1/4. What is the probability that he wins only one of the events? 3/32 B. 3/16 C. 7/32 D. 5/16 48. If x kmh-1 = y ms-1, the y = A. 7/18 x. B. 11/20 x. C. 4/15 x. D. 5/18 x. 50. The mean of the numbers 2,5,2x and 7 is less than or equal to 5. Find the range of values of x. A. x ≤ 3 B. x ≥ 3 C. x < 3 D. x > 3

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