Find the equation of the line through the points (-2, 1) and (-\(\frac{1}{2}\), 4)
- A. y = 2x - 3
- B. y = 2x + 5
- C. y = 3x - 2
- D. y = 2x + 1
The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 – x is
- A. \(\sqrt{13}\)
- B. \(3\sqrt{2}\)
- C. \(\sqrt{26}\)
- D. \(10\sqrt{5}\)
The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is
- A. \(\frac{1}{2}\)
- B. \(\frac{2}{5}\)
- C. \(-\frac{4}{7}\)
- D. \(-\frac{2}{3}\)
Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.
- A. 3.92cm3
- B. 2.13cm3
- C. 1.97cm3
- D. 1.62cm3
The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.
- A. 24o
- B. 30o
- C. 33o
- D. 36o
Given that I3 is a unit matrix of order 3, find |I3|
- A. -1
- B. O
- C. 1
- D. 2
If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x
- A. 3
- B. 4
- C. 5
- D. 7
The binary operation on the set of real numbers is defined by m*n = \(\frac{mn}{2}\) for all m, n \(\in\) R. If the identity element is 2, find the inverse of -5
- A. \(-\frac{4}{5}\)
- B. \(-\frac{2}{5}\)
- C. 4
- D. 5
The binary operation * is defined on the set of integers such that p * q = pq + p – q. Find 2 * (3 * 4)
- A. 11
- B. 13
- C. 15
- D. 22
The sum to infinity of a geometric progression is \(-\frac{1}{10}\) and the first term is \(-\frac{1}{8}\). Find the common ratio of the progression.
- A. \(-\frac{1}{5}\)
- B. \(-\frac{1}{4}\)
- C. \(-\frac{1}{3}\)
- D. \(-\frac{1}{2}\)
The nth term of a sequence is n2 – 6n – 4. Find the sum of the 3rd and 4th terms.
- A. 24
- B. 23
- C. -24
- D. -25
Find the range of values of m which satisfy (m – 3)(m – 4) < 0
- A. 2 < m < 5
- B. -3 < m < 4
- C. 3 < m < 4
- D. -4 < m < 3
The value of y for which \(\frac{1}{5}y + \frac{1}{5} < \frac{1}{2}y + \frac{2}{5}\) is
- A. \(y > \frac{2}{3}\)
- B. \(y < \frac{2}{3}\)
- C. \(y > -\frac{2}{3}\)
- D. \(y < -\frac{2}{3}\)
U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3
- A. 24
- B. 27
- C. 32
- D. 36
If y varies directly as \(\sqrt{n}\) and y = 4 when n = 4, find y when n = 1\(\frac{7}{9}\)
- A. \(\sqrt{17}\)
- B. \(\frac{4}{3}\)
- C. \(\frac{8}{3}\)
- D. \(\frac{2}{3}\)
Solve for x and y in the equations below
x2 – y2 = 4
x + y = 2
- A. x = 0, y = -2
- B. x = 0, y = 2
- C. x = 2, y = 0
- D. x = -2, y = 0
Find the remainder when 2x3 – 11x2 + 8x – 1 is divided by x + 3
- A. -871
- B. -781
- C. -187
- D. -178
Make ‘n’ the subject of the formula if w = \(\frac{v(2 + cn)}{1 – cn}\)
- A. \(\frac{1}{c}(\frac{w - 2v}{v + w})\)
- B. \(\frac{1}{c}(\frac{w - 2v}{v - w})\)
- C. \(\frac{1}{c}(\frac{w + 2v}{v - w})\)
- D. \(\frac{1}{c}(\frac{w + 2v}{v + w})\)
In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?
- A. 1
- B. 2
- C. 3
- D. 4
If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q
- A. {3}
- B. {2,3}
- C. {2,3,5}
- D. {1,2}
Simplify \((\sqrt{6} + 2)^2 – (\sqrt{6} – 2)^2\)
- A. \(2\sqrt{6}\)
- B. \(4\sqrt{6}\)
- C. \(8\sqrt{6}\)
- D. \(16\sqrt{6}\)