The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km. how far would the vehicle go on 9 litres of petrol?

• A. 22\(\frac{1}{2}\)km
• B. 30km
• C. 33\(\frac{1}{2}\)km
• D. 45km

Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters [Ï€ = 22/7]

• A. 44,000 liters
• B. 4,400 liters
• C. 440 liters
• D. 44 liters

A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]

Find the total surface area of the container

• A. 35cm³
• B. 154cm³
• C. 220cm²
• D. 528cm²

PMN and PQR are two secants of the circle MQTRN and PT is a tangent. If PM = 5cm, PN = 12cm and PQ = 4.8cm, calculate the respective lengths of PR and PT in centimeters

• A. 7.3, 5.9
• B. 7.7, 12.5
• C. 12.5, 7.7
• D. 5.9, 7.3

Simplify \(\frac{20}{5\sqrt{28} - 2 \sqrt{63}}\)

• A. \(\frac{5\sqrt{7}}{7}\)
• B. \(\frac{5\sqrt{5}}{7}\)
• C. \(\frac{7\sqrt{5}}{7}\)
• D. \(\frac{7\sqrt{7}}{5}\)

The following is an incomplete table for the relation \(y = 2x^{2} - 5x + 1\)

(a) Copy and complete the table.

(b) Using a scale of 2cm to 1 unit on the x- axis and 2cm to 10 units on the y- axis, draw the graph of the relation \(y = 2x^{2} - 5x + 1\) for \(-3 \leq x \leq 5\).

(c) Using the same scale and axes, draw the graph of \(y = x + 6\).

(d) Estimate from your graphs, correct to one decimal place : (i) the least value of y and the value of x for which it occurs ; (ii) the solution of the equation \(2x^{2} - 5x + 1 = x + 6\).

The ages of three men are in the ratio 3:4:5. If the difference between the ages of the oldest and youngest is 18 years, find the sum of the ages of the three men

• A. 45 years
• B. 72 years
• C. 108 years
• D. 216 years

Use the quadratic equation curve to answer this questions What is the minimum value of the graph?

• A. -5.3
• B. 0.5
• C. 3
• D. 8

(a) The triangle ABC has sides AB = 17m, BC = 12m and AC = 10m. Calculate the :

(i) largest angle of the triangle ; (ii) area of the triangle.

(b) From a point T on a horizontal ground, the angle of elevation of the top R of a tower RS, 38m high is 63°. Calculate, correct to the nearest metre, the distance between T and S.

Given that sin (5x-28)° = cos (3x-50)", 0°≤ x ≤ 90°, find the value of x.

• A. 39
• B. 32
• C. 21
• D. 14