**MATHEMATICS **

- The acres for rice pineapples, cassava, cocoa and palm oil in a certain district are given respectively as

2,5,3,11 and 9. What is the angle of the sector for cassava in a pie chart? (A) 120 (B) 10 (C) 20 (D) 36

- How many three digit numbers can be formed from 32564 without any digit being repeated? (A) 120 (B) 10 (C) 20 (D) 60
- The 5
^{th}term A.P is 60. Find the 6^{th}term if the common difference is 3 (A) 105 (B) 63 (C) 95 (D) 110 - Calculate the mean deviation of the set of numbers 7,3,14,9,7,and 8 (A) (B) 2½ (C) 1½ (D) 2
^{1}⁄3 - If M represents the medium and D mode of the measurements, 5,9,3,5,8 then (M,D) is ? (A) (3,5) (B) (5,8) (C) (5,7) (D) (5,5)
- Given regular hexagon, calculate each interior angle of the hexagon (A) 60
^{0}(B) 30^{0}(C) 120^{0}(D) 45^{0} - If X is a root of the equation X
^{2}– 2 – 5X + 6: fine the other roots (A) -3 and 2 (B) -2 and 2 (C) 3 and -2 (D) 1 and 4 - Evaluate (212)
^{3}– (121)^{3}+ (222)^{3}(A) (313)^{3}(B) (1000)^{3}(C) (1020)^{3}(D) (1222)^{3} - Find the smallest number by which 252 can be multiplied to obtain a perfect square (A) 2 (B) 3 (C) 5 (D) 7
- A number of pencils are shared out among Bisi, Solo and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out? (A) 15 (B) 25 (C) 30 (D) 50
- The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the term of (x,y), where x>y. (A) (12,6) (B) (23,17) (C) (17,11) (D) (18,12)
- Find n if log
_{2}4+log_{4}7 – log_{2}n=1 (A) 10 (B) 14 (C) 27 (D) 28 - If x varies directly as y
^{3}and x=2 when y=1, find x when y = 5 (A) 2 (B) 10 (C) 125 (D) 250 - A regular polygon of n sides had 160
^{0}as the size each of interior angle. Find n (A) 18 (B) 16 (C) 14 (D) 12 - Find the median of the numbers 89, 141, 130, 161, 120, 131, 100, 108, and 199 (A) 131 (B) 125 (C) 123 (D) 120
- Find the probability that a number selected at random from 40 to 50 is a prime (A) 3/11 (B) 5/11 (C) 3/10 (D) 4/11
- The probability of a student passing any examination is 2/3; if the students take three examinations, what is the probability that he will not pass any of them? (A) 2/3 (B) 4/9 (C) 3.27 (D) 1.27
- The mean of a set of six numbers is 60. If the mean of the first five is 50. Find the sixth number in the set (A) 105 (B) 100 (C) 95 (D) 110
- The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term? (A) 210 (B) 40 (C) 120

(D) 5,5

- Solve the following equations. 4x – 3 = 3x+y =2y +5x-12 (A) x-5, y=2 (B) x=2, y=5 (C) x=2, y=-5 (D) x=5, y=2
- Give that log
^{9}_{2}=log_{8}4,find a. (A)2″^{2}(B)4^{1}/^{3}(C)4^{2}/^{3}(D)2^{2}/^{3} - By selling some crates of soft drinks for N 600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks? (A) N 1,200.00 (B)

,x,1y are in geometric progression (G.P.), Find the product of x and y. (A) (C) 1 D.4/3

- If R =[2,4,6,7] and s= [1,2,4,8],then ROS equal (A)[1,2,4,6,7,8] (B) [1,2,4,7,8] (C)[1,4,7,8] (D) [2,6,7].
- Find the value of x for which the expression is underlined:
__6x –__1 x^{2}+ 4x – 5 (A). + 4 or +1 (B). – Or + 1 (C) – or -1 (D). + 5 or -1 - What is the smaller value of x for which x
^{2}– 3x + 2= 0? (A).1 (B).2 (C).3 (D).4 - Factories the expression x(a-c) +y (c-a) (A) (a-c) (y- x) (B).(a-c)(x-y) (C).(a+c)(x-y) (D).(a+c)(x+y)
- If y c and x =3 when y =4, find y when x=2 (A) 1. (B) 3. (C) .9 (D) 18.
- Solve the equation 3×2+25x-18 =0 (A).-3,2 (B)-2,3 (C).-2/3
- Solve the equation (x+2)(x-7)=0.(A) X=1 or 8 (B).X=-2 or 7 (c.=-4or 5)(D).X=-3 or 6.
- Solve the following simultaneous equation: x+y =3/2;x-y =5/2 and use your result to find the value of 2y +x (A).-2 (B).-1 (C).
^{1}/2 (D).1 - Find (101
_{2})^{2, express}the answer in base 2. (A).10101 (B).11001(C) (10010) (D)11101 - What is the mode of numbers 8,10,9,9,10,8,11,8,10,9,8 and 14? (A)8 (B)9 (C)10 (D)11
- The mean of 20 observation in an experiment is 4. If the observed largest value is 23,find the mean of the remaining observations.(A) 4 (B)3 (C)2.85 (D)2.60
- From a box containing 2 red, 6 white and 5 black balls, a ball is randomly selected ball is black?

- S=(1,2,3,4,5,6),=(2,4,5,7)(S∩𝑇)∪𝑅 (A) (1.4.5 (B).(2.4.5) (C).(1,2,5) (D).(2,3,5)
- Solve the inequality: 3m +3>9 (A).M >2 (B).m>3(C.)m>4 (D).>
- Convert 89ten to a number base two (A).1101001 (B).1011001 (C) 1001101 (D) 101101. 39. Simplify4
^{-1/2}x16^{3/4 (}A).^{1/4}(B).0 (C). 1 (D) 2

^{½}

- Solve the equation x
^{2}-3=0 (A).(-3,1) (B).(-1.-3) (C).(3,1) (D).(-1,3.) - IF 2q3
= 77_{5}find q. (A) 2 (B) 1 (C) 4 (D) 0_{8} - Find r, if 6r78 = 5119 (A) 5 (B) 3 (C) 2 (D) 6
- Simplify
- A student measures a piece of rope and found that it was 1.26m long. If the actual length of the rope was

.25m. What was the percentage error in the measurement? (A) 0.40% (B) 0.25% (C) 0.01% (D)

.80%

- At what rate wills the interest N400 increase 124 in 3 years reckoning in simple interest? (A) 4% (B) 3% (C) 2% (D) 5%
- X if p: q=

7.14 x 10^{–4}** ^{ }**

**ANSWERS **

- D C 21. D 31. D 41. A
- A B 22. D 32. B 42. B
- B D 23. C 33. A 43. D
- A A 24. A 34. B 44. D
- A D 25. B 35. B 45. C
- C A 26. A 36. C 46. B
- D A 27. B 37. A 47. A
- A D 28. C 38. B 48. C
- D A 29. D 39. D 49. A
- B B 30. B