In the diagram, PQ||SR. Find the value of Z
- A. 30o
- B. 40o
- C. 45o
- D. 90o
- E. 120o
In ∆PQR. ∠PQR is a right angle. |QR| = 2cm and ∠PRQ = 60o. Find |PR|
- A. 4√3cm
- B. 4cm
- C. 2√3cm
- D. \(\frac{4}{3}cm\)
- E. 1cm
A box contain 2 white and 3 blue identical balls. If two balls are picked at random, one after the other, without replacement, what is the probability of picking two balls of different colours?
- A. \(\frac{5}{25}\)
- B. \(\frac{7}{20}\)
- C. \(\frac{3}{5}\)
- D. \(\frac{2}{3}\)
- E. \(\frac{5}{6}\)
The values of x when y = -1 are approximately
- A. -10 and 2.0
- B. -1.3 and 2.3
- C. -0.6 and 2.6
- D. -0.6 and 1.6
- E. 1.6 and 1.6
The graph of the quadratic expression
- A. \(y=x^2 + x - 2\)
- B. \(y=x^2 - x + 2\)
- C. \(y=x^2 - x - 2\)
- D. \(y=x + x + 2\)
- E. \(y=x^2 - 2 x - 2\)
In the diagram above, the area of triangle ABC is 35cm2, find the value of y
- A. 5cm
- B. 10cm
- C. 17.5cm
- D. 28cm
- E. 70cm
A die with faces numbered 1 to 6 is rolled once. What is the probability of obtaining 4?
- A. \(\frac{1}{36}\)
- B. \(\frac{1}{6}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{1}{2}\)
- E. \(\frac{2}{3}\)
The following numbers represent at a set of scores for a class of 32 students, where the maximum score possible was 12, 6, 5, 9, 4, 4, 8, 7, 5, 6, 3, 2, 5, 4, 6, 9, 10, 4, 3, 2, 3, 4, 6, 8, 7, 4, 2, 1, 8, 7, 7, 6, 11. What is the percentage of the class, correct to the nearest whole number, scored above 6?
- A. 34%
- B. 35%
- C. 37%
- D. 38%
- E. 50%
Express as a single fraction: \(\frac{x}{x-2}-\frac{x+2}{x+3}\)
- A. \(\frac{2x^2 - 3x - 4}{(x-2)(x+3)}\)
- B. \(\frac{2x^2 + 3x - 4}{(x-2)(x+3)}\)
- C. \(\frac{2}{(x-2)(x+3)}\)
- D. \(\frac{ 3x + 4}{(x-2)(x+3)}\)
- E. \(\frac{3x - 4}{(x-2)(x+3)}\)
In the diagram above, O is the center if the two concentric circle of radii 13cm and 10cm respectively. Find the area of the shaded portion in the sector with angle 120° at the center
- A. \(\frac{1}{3}\pi cm^2\)
- B. \(\pi cm^2\)
- C. \(3\pi cm^2\)
- D. \(23\pi cm^2\)
- E. \(46\pi cm^2\)
The radius of a geographical globe is 60cm. Find the length of the parallel of latitude 60oN
- A. \(66\pi cm\)
- B. \(60\pi cm\)
- C. \(30\pi cm\)
- D. \(15\pi cm\)
- E. \(6\pi cm\)
Given that \(\frac{6x-y}{x+2y}=2\), find the value of \(\frac{x}{y}\)
- A. \(\frac{3}{8}\)
- B. \(\frac{5}{8}\)
- C. \(\frac{4}{5}\)
- D. \(\frac{5}{4}\)
- E. \(\frac{8}{5}\)
If h(m+n) = m(h+r) find h in terms of m, n and r
- A. \(h=\frac{mr}{2m+n}\)
- B. \(h=\frac{mr}{n+m}\)
- C. \(h=\frac{m+n}{n}\)
- D. \(h=\frac{m+n}{m}\)
- E. \(h=\frac{mr}{n}\)
solve the inequality \((Y-2)<\frac{y}{3}\)
- A. y > -9
- B. y < 3
- C. y > 4
- D. y < 9
- E. y > 0
Find (X-Y) if 4x – 3y = 7 and 3x – 2y = 5
- A. 4
- B. 3
- C. 2
- D. -2
- E. -3
Find the equation whose roots are \(\frac{2}{3}and \frac{-1}{4}\)
- A. \(12x^2-5x+2=0\)
- B. \(12x^2-11x+2=0\)
- C. \(x^2-\frac{11}{12}x+2=0\)
- D. \(x^2+\frac{11}{12}x-2=0\)
- E. \(12x^2+11x+2=0\)
Make S the subject of the formula: \(V = \frac{K}{\sqrt{T-S}}\)
- A. \(T-\frac{K^2}{V^2} = S\)
- B. \(T+\frac{K^2}{V^2} = S\)
- C. \(T-\frac{K^2}{V} = S\)
- D. \(T-\frac{K}{V} = S\)
- E. \(T-\frac{K}{V^2} = S\)
not defined?
- A. 3, 1
- B. -1, -3
- C. -1, 3
- D. 3, -2
- E. 1, -3
p and q are two positive numbers such that p > 2q. Which one of the following statements is not true?
- A. -p < -2q
- B. -p > -2q
- C. -q < 2p
- D. q < 1/2p
- E. p2 > 2q2
Solve the equation 5x2 – 4x – 1 = 0
- A. -1, 1/5
- B. -1, -1/5
- C. 1, 1/5
- D. 1, -1/5
- E. -1, 5
Simplify \(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)
- A. -3
- B. \(\frac{1}{9}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{27}{8}\)
- E. 4