11. 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. \(\frac{}{2}\)
12. In how many ways can the word MATHEMATICIAN be arranged?
- A. 6,794,800 ways
- B. 2,664,910 ways
- C. 6,227,020,800 ways
- D. 129,729,600 ways
13. 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.
\(\begin{vmatrix} -4 & 0 & 8 \\ 0 & -2 & -16 \\ 10 & 12 & 6 \end{vmatrix}\)
14.
| 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
15.
| Score (x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Freq (f) | 5 | 7 | 3 | 7 | 11 | 6 | 7 |
Find the variance
- A. 42
- B. 20
- C. 70
- D. 54
16. 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
17. 
From the cyclic quadrilateral MNOP above, find the value of x.
- A. 16°
- B. 25°
- C. 42°
- D. 39°
18. If 4sin2x−3=0, find the value of x, when 0° ≤ x ≤ 90°
- A. 90°
- B. 45°
- C. 60°
- D. 30°
19.
In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.
- A. 56 cm2
- B. 24 cm2
- C. 42 cm2
- D. 34 cm2
20. The marks scored by 30 students in a Mathematics test are recorded in the table below:
| Scores (Mark) | 0 | 1 | 2 | 3 | 4 | 5 |
| No of students | 4 | 3 | 7 | 8 | 6 | 2 |
What is the total number of marks scored by the children?
- A. 82
- B. 15
- C. 63
- D. 75