# Mathematics

## MATHEMATICS

1. 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

1. How many three digit numbers can be formed from 32564 without any digit being repeated? (A) 120 (B) 10 (C) 20 (D) 60
2. The 5th term A.P is 60. Find the 6th term if the common difference is 3 (A) 105 (B) 63 (C) 95 (D) 110
3. Calculate the mean deviation of the set of numbers 7,3,14,9,7,and 8 (A) (B) 2½ (C) 1½ (D) 21⁄3
4. 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)
5. Given regular hexagon, calculate each interior angle of the hexagon (A) 600 (B) 300  (C) 1200  (D) 450
6. If X is a root of the equation X2 – 2 – 5X + 6: fine the other roots (A) -3 and 2 (B) -2 and 2 (C) 3 and -2 (D) 1 and 4
7. Evaluate (212)3 – (121)3 + (222)3 (A) (313)3 (B) (1000)3 (C) (1020)3(D) (1222)3
8. Find the smallest number by which 252 can be multiplied to obtain a perfect square (A) 2 (B) 3 (C) 5 (D) 7
9. 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
10. 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)
11. Find n if log2 4+log4 7 – log2 n=1 (A) 10 (B) 14 (C) 27 (D) 28
12. If x varies directly as y3 and x=2 when y=1, find x when y = 5 (A) 2 (B) 10 (C) 125 (D) 250
13. A regular polygon of n sides had 1600 as the size each of interior angle. Find n (A) 18 (B) 16 (C) 14 (D) 12
14. Find the median of the numbers 89, 141, 130, 161, 120, 131, 100, 108, and 199 (A) 131 (B) 125 (C) 123 (D) 120
15. 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
16. 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
17. 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
18. 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

1. 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
2. Give that log92 =log84,find a. (A)2″2(B)41/3(C)42/3(D)22/3
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

1. 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].
2. Find the value of x for which the expression is underlined: 6x – 1 x2+ 4x – 5 (A). + 4 or +1 (B). – Or + 1 (C) – or -1 (D). + 5 or -1
3. What is the smaller value of x for which x2– 3x + 2= 0? (A).1 (B).2 (C).3 (D).4
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)
5. If y c and x =3 when y =4, find y when x=2 (A) 1. (B) 3. (C) .9 (D) 18.
6. Solve the equation 3×2+25x-18 =0 (A).-3,2 (B)-2,3 (C).-2/3
7. 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.
8. 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
9. Find (1012)2, express the answer in base 2. (A).10101 (B).11001(C) (10010) (D)11101
10. 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
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
12. From a box containing 2 red, 6 white and 5 black balls, a ball is randomly selected ball is black?

1. 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)
2. Solve the inequality: 3m +3>9 (A).M >2 (B).m>3(C.)m>4 (D).>
3. Convert 89ten to a number base two (A).1101001 (B).1011001 (C) 1001101 (D) 101101. 39. Simplify4-1/2 x163/4 (A).1/4 (B).0 (C). 1 (D) 2

½

1. Solve the equation x2-3=0 (A).(-3,1) (B).(-1.-3) (C).(3,1) (D).(-1,3.)
2. IF 2q35 = 778 find q. (A) 2 (B) 1 (C) 4 (D) 0
3. Find r, if 6r78 = 5119 (A) 5 (B) 3 (C) 2 (D) 6
4. Simplify
5. 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%

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

7.14 x 104