From the cyclic quadrilateral MNOP above, find the value of x.
- A. 16Ā°
- B. 25Ā°
- C. 42Ā°
- D. 39Ā°
The locus of a point which moves so that it is equidistant from two intersecting straight lines is the
- A. bisector of the two lines
- B. line parallel to the two lines
- C. angle bisector of the two lines
- D. perpendicular bisector of the two lines
| Score (x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Freq (f) | 5 | 7 | 3 | 7 | 11 | 6 | 7 |
Find the variance
- A. 3.42
- B. 4.69
- C. 4.85
- D. 3.72
| Score (x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Freq (f) | 5 | 7 | 3 | 7 | 11 | 6 | 7 |
Find the mean of the data.
- A. 3.26
- B. 4.91
- C. 6.57
- D. 3.0
Given matrix M = \(\begin{vmatrix} -2 & 0 & 4 \\ 0 & -1 & 6 \\ 5 & 6 & 3 \end{vmatrix}\), find \(M^{T} + 2M\)
- A. \(\begin{vmatrix} -4 & 2 & 1\\ 6 & 0 & 5 \\ 0 & 6 & 2 \end{vmatrix}\)
- B. \(\begin{vmatrix} -6 & 0 & 13\\ 0 & -3 & 18 \\ 14 & 18 & 9 \end{vmatrix}\)
- C. \(\begin{vmatrix} 5 & 2 & 6 \\ 0 & 1 & 1\\ 3 & 4 & -7 \end{vmatrix}\)
- D. \(\begin{vmatrix} -4 & 0 & 8 \\ 0 & -2 & -16 \\ 10 & 12 & 6 \end{vmatrix}\)
In how many ways can the word MATHEMATICIAN be arranged?
- A. 6794800 ways
- B. 2664910 ways
- C. 6227020800 ways
- D. 129729600 ways
If a fair coin is tossed 3 times, what is the probability of getting at least two heads?
- A. \(\frac{2}{3}\)
- B. \(\frac{4}{5}\)
- C. \(\frac{2}{5}\)
- D. \(\frac{1}{2}\)
If \(6x^3 + 2x^2 – 5x + 1\) divides \(x^2 – x – 1\), find the remainder.
- A. 9x + 9
- B. 2x + 6
- C. 6x + 8
- D. 5x - 3
\(\frac{\frac{2}{3} \div \frac{4}{5}}{\frac{1}{4} + \frac{3}{5} – \frac{1}{3}}\)
- A. \(\frac{31}{50}\)
- B. \(\frac{20}{31}\)
- C. \(\frac{31}{20}\)
- D. \(\frac{50}{31}\)
Given \(\sin 58Ā° = \cos pĀ°\), find p.
- A. 48Ā°
- B. 58Ā°
- C. 32Ā°
- D. 52Ā°
Find the length of the chord |AB| in the diagram shown above.
- A. 4.2 cm
- B. 4.3 cm
- C. 3.2 cm
- D. 3.4 cm
Rationalize \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} – \sqrt{3}}\)
- A. \(-5 - 2\sqrt{6}\)
- B. \(-5 + 3\sqrt{2}\)
- C. \(5 - 2\sqrt{3}\)
- D. \(5 + 2\sqrt{6}\)
In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?
- A. 42
- B. 20
- C. 70
- D. 54
| Age in years | 7 | 8 | 9 | 10 | 11 |
| No of pupils | 4 | 13 | 30 | 44 | 9 |
The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is
- A. 48.6Ā°
- B. 56.3Ā°
- C. 46.8Ā°
- D. 13Ā°
A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m – n\) on the set of real numbers, for all m, n \(\in\) R. Find the value of 3 \(\otimes\) (2 \(\otimes\) 4).
- A. 6
- B. 25
- C. 15
- D. 18
The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78Ā°. Find the height of the tree correct to the nearest whole number.
- A. 148m
- B. 382m
- C. 282m
- D. 248m
Make q the subject of the formula in the equation \(\frac{mn}{a^2} – \frac{pq}{b^2} = 1\)
- A. \(q = \frac{b^2(mn - a^2)}{a^2 p}\)
- B. \(q = \frac{m^2 n - a^2}{p^2}\)
- C. \(q = \frac{mn - 2b^2}{a^2}\)
- D. \(q = \frac{b^2 (n^2 - ma^2)}{n}\)