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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) \(\frac{2\sqrt{3}}{3} - 10\)

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