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Find the distance between the points C(2, 2) and D(5, 6).
A) 13 units
B) 7 units
C) 12 units
D) 5 units
Find the equation of a line perpendicular to the line 4y = 7x + 3 which passes through (-3, 1)
A) 7y + 4x + 5 = 0
B) 7y - 4x - 5 = 0
C) 3y - 5x + 2 = 0
D) 3y + 5x - 2 = 0
Marks | 1 | 2 | 3 | 4 | 5 |
Frequency | 2y - 2 | y - 1 | 3y - 4 | 3 - y | 6 - 2y |
The table above is the distribution of data with mean equals to 3. Find the value of y.
A) 5
B) 2
C) 3
D) 6
The histogram above represents the number of candidates who did Further Mathematics examination in a school. How many candidates scored more than 40?
A) 100
B) 79
C) 150
D) 90
In the circle above, with centre O and radius 7 cm. Find the length of the arc AB, when < AOB = 57°.
A) 5.32 cm
B) 4.39 cm
C) 7.33 cm
D) 6.97 cm
Calculate the volume of the regular three-dimensional figure drawn above, where
A) 394 cm\(^3\)
B) 425 cm\(^3\)
C) 268 cm\(^3\)
D) 540 cm\(^3\)
If \(\sin x = \frac{4}{5}\), find \(\frac{1 + \cot^2 x}{\csc^2 x - 1}\).
A) \(\frac{13}{2}\)
B) \(\frac{25}{9}\)
C) \(\frac{3}{13}\)
D) \(\frac{4}{11}\)
Evaluate \(\frac{2\sin 30 + 5\tan 60}{\sin 60}\), leaving your answer in surd form.
A) \(\frac{2\sqrt{3}}{3} + 10\)
B) \(\frac{3\sqrt{2} - 1}{5}\)
C) \(\frac{3\sqrt{2} + 1}{5}\)
D) \(\frac{2\sqrt{3}}{3} - 10\)