y = 5x + 2
y = 5x + 3
y = 12x + 2
y = 22x + 3
Correct answer is A
The equation of a straight line is given as \(y = mx + b\)
where m = the slope of the line
b = intercept
Given points A(3, 12) and B(5, 22), the slope = \(\frac{22 - 12}{5 - 3}\)
= \(\frac{10}{2}\) = 5
Hence, the equation of the line is \(y = 5x + 2\).
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 |
56 cm\(^2\)
24 cm\(^2\)
42 cm\(^2\)
34 cm\(^2\)
Correct answer is D
Area of rectangle ABCD = length x breadth
= 7 x 4
= 28 cm\(^2\)
Area of triangle CDE = \(\frac{1}{2}\) base x height
= \(\frac{1}{2} \times 3 \times 4\)
= 6 cm\(^2\)
Area of the figure = 28 cm\(^2\) + 6 cm\(^2\)
= 34 cm\(^2\)
If \(4\sin^2 x - 3 = 0\), find the value of x, when 0° \(\leq\) x \(\leq\) 90°
90°
45°
60°
30°
Correct answer is C
\(4\sin^2 x - 3 = 0\)
\(4 \sin^2 x = 3 \implies \sin^2 x = \frac{3}{4}\)
\(\sin x = \frac{\sqrt{3}}{2}\)
\(\therefore x = \sin^{-1} (\frac{\sqrt{3}}{2})\)
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°
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