Given that tan x = \(\frac{2}{3}\), where 0o d” x d” 90o, Find the value of 2sinx.
- A. \(\frac{2\sqrt{13}}{13}\)
- B. \(\frac{3\sqrt{13}}{13}\)
- C. \(\frac{4\sqrt{13}}{13}\)
- D. \(\frac{6\sqrt{13}}{13}\)
Factorize \( a^2 β b^2 β 4a + 4 \)
- A. (a + b)(a β b)
- B. (a β 2 + b)(a - 2- b)
- C. (a + 1)(a β 2 + b)
- D. (a + b) 2
Rationalize 5 Γ· (2 β β3)
- A. 3(2 + β5)
- B. 2(3 + β5)
- C. 5(2 + β3)
- D. 3 β2 + 1
A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make?
- A. 3%
- B. 2%
- C. 4%
- D. 1%
Simplify 2.04 Γ 3.7 (Leave your answer in 2 decimal place)
- A. 7.51
- B. 7.71
- C. 5.5
- D. 7.55
If duty is levied at 25%, find the duty to be added to a bill of N80.
- A. N100
- B. N20
- C. N80
- D. N150
How many sides has a regular polygon whose interior angles are 120Β°each
- A. 4
- B. 5
- C. 6
- D. 3
Solve the equation
\( 5^{(x β 2)} = (1 Γ· 125)^{(x +3)}\)
- A. 3/2
- B. β 7/4
- C. 4/7
- D. 7/4
The sum of two numbers is 5; their product is -14. Find the numbers.
- A. x = 5 or 1
- B. x = 7 or 1
- C. x = 7 or 0
- D. x = 7 or β 2
If β (2x + 2) β βx =1 ,find x.
- A. x = 1 twice
- B. x = 0 or 1
- C. x = 3 or 1
- D. x = 2 twice
Simplify \(\sqrt{30}\) Γ \(\sqrt{40}\)
- A. 10 β3
- B. 5 β3
- C. 20 β3
- D. 15 β3
Calculate the value of x and y if (27x Γ· 81x+2y = 9 ,x + 4y = 0
- A. x = 1, y = 1/2
- B. x = 2, y = β 1/2
- C. x β 0, y = 1
- D. x = 2, y = β1
Given that Z = {1,2,4,5} what is the power of set Z?
- A. 16
- B. 8
- C. 10
- D. 12
The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?
- A. 1/2
- B. 1/3
- C. 2/5
- D. 3/4
The volume of a cone (s) of height 6cm and base radius 5cm is
- A. 157cm3
- B. 155cm3
- C. 175cm3
- D. 145cm3
The area of an ellipse is 132cm2.The length of its major axis is 14cm.Find the length of it minor axis
- A. 10.5cm
- B. 5cm
- C. 10cm
- D. 3cm
The area of a circle of radius 4cm is equal to (Take Ο = 3.142 )
- A. 10.3cm2
- B. 15.7cm2
- C. 50.3cm2
- D. 17.4cm2
Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x β 1)} \)
- A. 2x/(x + 1)(xβ3)
- B. 2x/(x + 1)(xβ1)
- C. 2x/(x + 1)2
- D. 2x(x+1)2
Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (Ο = 3.14)
- A. 17.1cm2
- B. 27.2cm2
- C. 47.1cm2
- D. 37.3cm2
Integral β«\( (5x^3 + 7x^2 β 2x + 5)\)dx
- A. \( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \)
- B. \( \frac{5x^4}{4} + \frac{7x^3}{3} - x^2 + 5x + C \)
- C. \( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \)
- D. \( \frac{2x^2}{3} + \frac{x}{5} - C \)
Evaluate log5(\( y^2x^5 Γ· 125bΒ½) \)
- A. 2 log5y + 5log5 y2 β 3
- B. log5 y2 + 5log5 x + 3
- C. 25logy 5 + 3
- D. 2log5y + 5log5x β Β½ log5b β3