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# Mathematics Past Questions | JAMB, WAEC, NECO and Post UTME Past Questions

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### Question 5201

Find the distance between the points C(2, 2) and D(5, 6).

### Options

A) 13 units

B) 7 units

C) 12 units

D) 5 units ### Question 5202

Find the equation of a line perpendicular to the line 4y = 7x + 3 which passes through (-3, 1)

### Options

A) 7y + 4x + 5 = 0 B) 7y - 4x - 5 = 0

C) 3y - 5x + 2 = 0

D) 3y + 5x - 2 = 0

### Question 5203

 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.

### Options

A) 5

B) 2 C) 3

D) 6

### Question 5204 The histogram above represents the number of candidates who did Further Mathematics examination in a school. How many candidates scored more than 40?

### Options

A) 100

B) 79

C) 150 D) 90

### Question 5205 In the circle above, with centre O and radius 7 cm. Find the length of the arc AB, when < AOB = 57°.

### Options

A) 5.32 cm

B) 4.39 cm

C) 7.33 cm

D) 6.97 cm ### Question 5206 Calculate the volume of the regular three-dimensional figure drawn above, where

### Options

A) 394 cm$$^3$$

B) 425 cm$$^3$$

C) 268 cm$$^3$$

D) 540 cm$$^3$$ ### Question 5207

If $$\sin x = \frac{4}{5}$$, find $$\frac{1 + \cot^2 x}{\csc^2 x - 1}$$.

### Options

A) $$\frac{13}{2}$$

B) $$\frac{25}{9}$$ C) $$\frac{3}{13}$$

D) $$\frac{4}{11}$$

### Question 5208

Evaluate $$\frac{2\sin 30 + 5\tan 60}{\sin 60}$$, leaving your answer in surd form.

### Options

A) $$\frac{2\sqrt{3}}{3} + 10$$ B) $$\frac{3\sqrt{2} - 1}{5}$$

C) $$\frac{3\sqrt{2} + 1}{5}$$

D) $$\frac{2\sqrt{3}}{3} - 10$$