The gradient of a line joining (x,4) and (1,2) is \(\frac{1}{2}\). Find the value of x
- A. 5
- B. 3
- C. -3
- D. -5
Find the mid point of S(-5, 4) and T(-3, -2)
- A. -4, 2
- B. 4, -2
- C. -4, 1
- D. 4, -1
A cylindrical tank has a capacity of 6160m3. What is the depth of the tank if the radius of its base is 28cm?
- A. 8.0m
- B. 7.5m
- C. 5.0m
- D. 2.5m
How many sides has a regular polygon whose interior angle is 135°?
- A. 12
- B. 10
- C. 9
- D. 8
Find the value of \(\begin{vmatrix}0 & 3 & 2 \\1 & 7 & 8 \\0 & 5 & 4\end{vmatrix}\).
- A. 12
- B. 10
- C. -1
- D. -2
If \(\begin{vmatrix}-x & 12 \\-1 & 4 \end{vmatrix} = – 12\), find x.
- A. -6
- B. -2
- C. 3
- D. 6
Find y, if \(\begin{pmatrix}5 & -6 \\2 & -7\end{pmatrix}\begin{pmatrix}x \\ y \end{pmatrix} = \begin{pmatrix}7 \\-11\end{pmatrix}\)
- A. 8
- B. 5
- C. 3
- D. 2
A binary operation * is defined by x * y = xy. If x * 2 = 12 – x, find the possible values of x
- A. 3,4
- B. 3,-4
- C. -3,4
- D. -3,-4
What is the common ratio of the G.P. \((\sqrt{10} + \sqrt{5}) + (\sqrt{10} + 2\sqrt{5}) + … \)?
- A. \(\sqrt{2}\)
- B. \(\sqrt{5}\)
- C. 3
- D. 5
The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.
- A. 89
- B. 75
- C. 73
- D. 69
Evaluate the inequality \(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} – \frac{7}{12}\)
- A. \(x \geq 4\)
- B. \(x \leq 3\)
- C. \(x \geq -3\)
- D. \(x \leq -4\)
What is the solution of \(\frac{x – 5}{x + 3} < -1\)?
- A. -3 < x < 1
- B. x < -3 or x > 1
- C. -3 < x < 5
- D. x < -3 or x > 5
P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.
- A. \(P = \frac{Q}{12R}\)
- B. \(P = \frac{12Q}{R}\)
- C. \(P = 12QR\)
- D. \(P = \frac{12}{QR}\)
y varies directly as w2. When y = 8, w = 2. Find y when w = 3
- A. 18
- B. 12
- C. 9
- D. 6
Find the value of k if y – 1 is a factor of y3 + 4y2 + ky – 6
- A. -6
- B. -4
- C. O
- D. 1
Factorize 2y2 – 15xy + 18x2
- A. (2y - 3x) (y + 6x)
- B. (2y - 3x) (y - 6x)
- C. (2y + 3x) (y - 6x)
- D. (3y + 2x) (y - 6x)
If gt2 – k – w = 0, make g the subject of the formula
- A. \(\frac{k + w}{t^2}\)
- B. \(\frac{k - w}{t^2}\)
- C. \(\frac{k + w}{t}\)
- D. \(\frac{k - w}{t}\)
If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q
- A. {6}
- B. {7}
- C. {6,7}
- D. {5,6}
Simplify \(\frac{2\sqrt{2} – \sqrt{3}}{\sqrt{2} + \sqrt{3}}\)
- A. 3\(\sqrt{6} - 7\)
- B. 3\(\sqrt{6} + 7\)
- C. 3\(\sqrt{6} - 1\)
- D. 3\(\sqrt{6} + 1\)