Find the slope of the curve y = 2x\(^2\) + 5x – 3 at (1, 4).
- A. 4
- B. 6
- C. 7
- D. 9
The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90o is
- A. a circle
- B. a semicircle
- C. an arc of a circle through X, Y
- D. the perpendicular bisector of XY
A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides
- A. 3 cm
- B. 4 cm
- C. 6 cm
- D. 7 cm
The sum of the first n terms of an arithmetic progresssion is 252. If the first term is -16 and the last term is 72, find the number of terms in the series
- A. 6
- B. 7
- C. 8
- D. 9
Factorize completely 4abx – 2axy -12b2x + 6bxy
- A. 2x(a - 3b)(2b - y)
- B. 2x(3b - a)(2b - y)
- C. 2x(a - 3b)(y - 2b)
- D. 2x(2b - a)(3b - y)
Triangle OPQ above is the solution of the inequalities
- A. x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0
- B. y + x ≤ 0, y - x ≥ 0, x -1 ≥ 0
- C. x - 1 ≤ 0, y - x ≥ o, y + x ≥ 0
- D. x - 1 ≤ 0, y + x ≤ 0, y - x ≤ 0
Three consecutive terms of a geometric progression are given as n-2, n and n+3. Find the common ratio
- A. 1/4
- B. 1/2
- C. 2/3
- D. 3/2
Find the value of x and y respectively if 3x – 5y + 5 = 0 and 4x – 7y + 8 = 0
- A. -5, -4
- B. -4,. -5
- C. 4, 5
- D. 5, 4
The length a person can jump is inversely proportional to his weight. If a 20 kg person can jump 1.5 m, find the constant of proportionality
- A. 60
- B. 30
- C. 20
- D. 15
The graph of the function y = x\(^2\) + 4 and a straight line PQ are drawn to solve the equation x\(^2\) – 3x + 2 = 0. What is the equation of PQ?
- A. y = 3x - 2
- B. y = 3x + 2
- C. y = 3x - 4
- D. y = 3x + 4
Find the range of the value of x satisfying the inequalities 5 + x \(\leq\) 8 and 13 + x \(\geq\) 7
- A. -3 \(\leq\) x \(\leq\) 3
- B. 3 \(\leq\) x \(\leq\) 6
- C. -6 \(\leq\) x \(\leq\) 3
- D. -6 \(\leq\) x \(\leq\) -3
x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?
- A. 3
- B. 4
- C. 6
- D. 9
Given:
U = {Even numbers between 0 and 30}
P = {Multiples of 6 between 0 and 30}
Q = {Multiples of 4 between 0 and 30}
Find (P∪Q)c
- A. {2, 10, 14, 22, 26}
- B. {0, 10, 14, 22, 26}
- C. {2,4, 14, 18, 26}
- D. {0, 2, 6, 22, 26}
The sum of four numbers is 1214\(_5\). What is the average expressed in base five?
- A. 114
- B. 141
- C. 401
- D. 411
If \(\frac{9^{2x-1}}{27^{x+1}} = 1\), find the value of x.
- A. 8
- B. 5
- C. 3
- D. 2
A cinema hall contains a certain number of people. If 22\(\frac{1}{2}\)% are children, 47\(\frac{1}{2}\)% are men and 84 are women, find the number of men in the hall.
- A. 63
- B. 84
- C. 113
- D. 133
Simplify 1 – (7/3 x 5/4) + 3/5
- A. -16/15
- B. -79/60
- C. -37/15
- D. -151/60
A woman buys 270 oranges for N1800.00 and sells at 5 for N40.00. What is her profit?
- A. N2,160.00
- B. N1, 620.00
- C. N630.00
- D. N360.00
Find (\(\frac{1}{0.06} \div \frac{1}{0.042}\))\(^{-1}\)
- A. 1.43
- B. 1.53
- C. 3.14
- D. 4.42