Determine the value of x for which (x\(^2\) – 1)>0
- A. x < -1 or x > 1
- B. -1 < x < 1
- C. x > 0
- D. x < -1
W is directly proportional to U. If W = 5 when U = 3, find U when W = \(\frac{2}{7}\)
- A. \(\frac{6}{35}\)
- B. \(\frac{10}{21}\)
- C. \(\frac{21}{10}\)
- D. \(\frac{35}{6}\)
Find the standard deviation of 2, 3, 5 and 6
- A. √6
- B. √10
- C. √\(\frac{2}{5}\)
- D. √\(\frac{5}{2}\)
If three unbiased coins are tossed, find the probability that they are all heads
- A. \(\frac{1}{2}\)
- B. \(\frac{1}{3}\)
- C. \(\frac{1}{9}\)
- D. \(\frac{1}{8}\)
In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women?
- A. 100
- B. 200
- C. 30
- D. 50
Evaluate \(\int^{2}_{0}(x^3 + x^2)\)dx.
- A. 4\(\frac{5}{6}\)
- B. 6\(\frac{2}{3}\)
- C. 1\(\frac{5}{6}\)
- D. 2\(\frac{5}{6}\)
If y = x sinx, find \(\frac{dy}{dx}\)
- A. sin x - x cosx
- B. sinx + x cosx
- C. sinx - cosx
- D. sinx + cosx
If cot\(\theta\) = \(\frac{8}{15}\), where \(\theta\) is acute, find sin\(\theta\)
- A. \(\frac{8}{17}\)
- B. \(\frac{15}{17}\)
- C. \(\frac{16}{17}\)
- D. \(\frac{13}{17}\)
Find the gradient of the line passing through the points P(1, 1) and Q(2, 5).
- A. 3
- B. 2
- C. 5
- D. 4
Find the distance between the points (\(\frac{1}{2}\), \(\frac{1}{2}\)) and (-\(\frac{1}{2}\), -\(\frac{1}{2}\)).
- A. 1
- B. o
- C. √3
- D. √2
A cylindrical pipe 50m long with radius 7m has one end open. What is the total surface area of the pipe?
- A. 749\(\pi\)m2
- B. 700\(\pi\)m2
- C. 350\(\pi\)m2
- D. 98\(\pi\)m2
The interior angles of a quadrilateral are (x + 15)°, (2x – 45)°, ( x – 30)° and (x + 10)°. Find the value of the least interior angle.
- A. 112o
- B. 102o
- C. 82o
- D. 52o
If P = \(\begin{pmatrix} 2 & -3 \\ 1 & 1 \end{pmatrix}\) , what is P\(^-1\)
- A. \(\begin{pmatrix} -{\frac{1}{5}} & -{\frac{3}{5}} \\ -{\frac{1}{5}} & -{\frac{2}{5}} \end{pmatrix}\)
- B. \(\begin{pmatrix} {\frac{1}{5}} & {\frac{3}{5}} \\ {\frac{1}{5}} & {\frac{2}{5}} \end{pmatrix}\)
- C. \(\begin{pmatrix} -{\frac{1}{5}} & {\frac{3}{5}} \\ -{\frac{1}{5}} & {\frac{2}{5}} \end{pmatrix}\)
- D. \(\begin{pmatrix} {\frac{1}{5}} & {\frac{3}{5}} \\ -{\frac{1}{5}} & {\frac{2}{5}} \end{pmatrix}\)
Evaluate \(\begin{vmatrix} 2 & 0 & 5 \\ 4 & 6 & 3 \\ 8 & 9 & 1 \end{vmatrix}\)
- A. 5y - 2x -18 = 0
- B. 102
- C. -102
- D. -42
Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + …..
- A. \(\frac{5}{8}\)
- B. \(\frac{5}{7}\)
- C. \(\frac{5}{11}\)
- D. \(\frac{5}{9}\)
Solve the inequalities -6 \(\leq\) 4 – 2x < 5 – x
- A. -1 < x < 5
- B. -1 < x \(\leq\) 5
- C. -1 \(\leq\) x \(\leq\) 6
- D. -1 \(\leq\) x < 6
For what range of values of x is \(\frac{1}{2}\)x + \(\frac{1}{4}\) > \(\frac{1}{3}\)x + \(\frac{1}{2}\)?
- A. x < \(\frac{3}{2}\)
- B. x > \(\frac{3}{2}\)
- C. x < -\(\frac{3}{2}\)
- D. x > -\(\frac{3}{2}\)
If x is inversely proportional to y and x = 2\(\frac{1}{2}\) when y = 2, find x if y = 4
- A. 4
- B. 5
- C. 1\(\frac{1}{4}\)
- D. 2\(\frac{1}{4}\)
Solve for x and y if x – y = 2 and x2 – y2 = 8
- A. (-1, 3)
- B. (3, 1)
- C. (-3, 1)
- D. (1, 3)
If 9×2 + 6xy + 4y2 is a factor of 27×3 – 8y3, find the other factor.
- A. 2y + 3x
- B. 2y - 3x
- C. 3x + 2y
- D. 3x - 2y
Make Q the subject of formula if p = \(\frac{M}{5}\)(X + Q) + 1
- A. \(\frac{5P - MX + 5}{M}\)
- B. \(\frac{5P - MX - 5}{M}\)
- C. \(\frac{5P + MX + 5}{M}\)
- D. \(\frac{5P + MX - 5}{M}\)