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?
82
15
63
75
Correct answer is D
| Scores (Mark) | 0 | 1 | 2 | 3 | 4 | 5 | |
| No of students | 4 | 3 | 7 | 8 | 6 | 2 | |
| fx | 0 | 3 | 14 | 24 | 24 | 10 | 75 |
If 4sin2x−3=0, find the value of x, when 0° ≤ x ≤ 90°
90°
45°
60°
30°
Correct answer is C
4sin2x−3=0
4sin2x=3⟹sin2x=34
sinx=√32
∴
x = 60°
From the cyclic quadrilateral MNOP above, find the value of x.
16°
25°
42°
39°
Correct answer is D
The sum of two opposite angles of a cyclic quadrilateral = 180°
\therefore (2x + 18)° + 84° = 180°
2x + 102° = 180° \implies 2x = 78°
x = 39°
bisector of the two lines
line parallel to the two lines
angle bisector of the two lines
perpendicular bisector of the two lines
Correct answer is C
The locus of a points equidistant from two intersecting straight lines is a pair of bisectors that bisect the angles formed by the two intersecting lines.
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