A force of 230N acts in its direction 065\(^o\). Find its horizontal component.
- A. 208.5N
- B. 197.2N
- C. 118.5N
- D. 97.2
In what interval is the function f : x -> 2x – x\(^2\) increasing?
- A. x = 1
- B. x < 1
- C. x > 1
- D. 0 < x < 1
A function f defined by f : x -> x\(^2\) + px + q is such that f(3) = 6 and f(3) = 0. Find the value of q.
- A. - 9
- B. - 6
- C. 15
- D. 21
Which of the following is not an equation of a circle?
- A. 3x\(^2\) +3y\(^2\) + 5x + 7y =5
- B. x\(^2\) + y\(^2\) + 5x + 4y = 0
- C. 5x\(^2\) + 5y\(^2\) - 16 = 0
- D. x\(^2\) - y\(^2\) + 3x - 5y = 2
In how many ways can the letters of the word MEMBER be arranged?
- A. 720
- B. 360
- C. 180
- D. 90
Calculate, correct to two decimal places, the area enclosed by the line 3x – 5y + 4 = 0 and the axes.
- A. 0.50 square units
- B. 0.51 square units
- C. 0.53 square units
- D. 0.54 square units
A circle with centre (5,-4) passes through the point (5, 0). Find its equation.
- A. x\(^2\) + y\(^2\) + 10x + 8y + 25 =0
- B. x\(^2\) + y\(^2\) +10x - 8y - 25 = 0
- C. x\(^2\) + y\(^2\) - 10x + 8y + 25 =0
- D. x\(^2\) + y\(^2\) -10x - 8y - 25 = 0
Find the nth term of the linear sequence (A.P) (5y + 1), ( 2y + 1), (1- y),…
- A. (8 + 3n)y + 1
- B. 8y + 3n + 1
- C. (8 - 3n)y + 1
- D. 8y - 3n + 1
If the binomial expansion of (1 + 3x)\(^6\) is used to evaluate (0.97)\(^6\), find the value of x.
- A. 0.03
- B. 0.01
- C. - 0.01
- D. - 0.03
In which of the following series can be the formula S = \(\frac{a}{1 – r}\) where a is the first term and r is the common ratio, be used to find the sum of all the terms?
- A. 4 + 8 + 16 + 32 + ...
- B. \(\frac{1}{2}\) + 2 \(\frac{1}{2}\) + 12\(\frac{1}{2}\) + 62 \(\frac{1}{2}\) + ..
- C. \(\frac{4}{81}\) + \(\frac{2}{27}\) + \(\frac{1}{9}\) + \(\frac{1}{6}\) + ...
- D. 128 + 64 + 32 + 16 + ...
A stone was dropped from the top of a building 40m high. Find, correct to one decimal place, the time it took the stone to reach the ground. [Take g = 9.8ms\(^{-2}\)]
- A. 2.9.seconds
- B. 2.8 seconds
- C. 2.6 seconds
- D. 1.4 seconds
Given that F = 3i – 12j, R = 7i + 5j and N = pi + qj are forces acting on a body, if the body is in equilibrium. find the values of p and q.
- A. p=-10, q=7
- B. p=-10, q=-7
- C. p=10, q=- 7
- D. p-10, q=7
Find the angle between i + 5j and 5i – J
- A. 0\(^o\)
- B. 45\(^o\)
- C. 60\(^o\)
- D. 90\(^o\)
Calculate the probability that the product of two numbers selected at random with replacement from the set {-5,-2,4, 8} is positive
- A. \(\frac{2}{3}\)
- B. \(\frac{1}{2}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{1}{6}\)
Find the median of the numbers 9,7, 5, 2, 12,9,9, 2, 10, 10, and 18.
- A. 7
- B. 9
- C. 10
- D. 11
If X = \(\frac{3}{5}\) and cos y = \(\frac{24}{25}\), where X and Y are acute, find the value of cos (X + Y).
- A. \(\frac{117}{125}\)
- B. \(\frac{24}{25}\)
- C. \(\frac{3}{5}\)
- D. \(\frac{7}{25}\)
Given that P = {x : 1 \(\geq\) x \(\geq\) 6} and Q = {x : 2 < x < 10}. Where x are integers, find n(p \(\cap\) Q)
- A. 4
- B. 6
- C. 8
- D. 10
Determine the coefficient of x\(^3\) in the binomial expansion of ( 1 + \(\frac{1}{2}\)x)
- A. \(\frac{5}{8}\)
- B. \(\frac{5}{6}\)
- C. \(\frac{5}{4}\)
- D. \(\frac{5}{2}\)
If V = plog\(_x\), (M + N), express N in terms of X, P, M and V
- A. N = X\(^{\frac{v}{p}}\) - M
- B. N = X\(^{\frac{p}{v}}\) - M
- C. N = X\(^{\frac{v}{p}}\) + M
- D. N = X\(^{\frac{p}{v}}\) + M
Given that 2x + 3y – 10 = 0 and 3x = 2y – 11, calculate the value of (x – y).
- A. 5
- B. 3
- C. - 3
- D. - 5
Differentiate \(\frac{x}{x + 1}\) with respect to x.
- A. \(\frac{x}{x + 1}\)
- B. \(\frac{-1}{x + 1}\)
- C. \(\frac{1 - x}{(x + 1)^2}\)
- D. \(\frac{1}{(x + 1)^2}\)