Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)

• A. 9/x - y
• B. 9/y - x
• C. 1/x - y
• D. 1/y - x

The distance traveled by a particle from a fixed point is given as s = (t³ - t² - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point?

• A. 2.3 cm
• B. 4.0 cm
• C. 5.2 cm
• D. 6.0 cm

Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

• A. \(yx^2 = 300\)
• B. \(yx^2 = 900\)
• C. y = \(\frac{100x}{9}\)
• D. \(y = 900x^2\)

3% of a family's income is spent on electricity, 59% on food, 20% on transport, 11% on education and 7% on extended family. The angles subtended at the centre of the pie chart under education and food are respectively

• A. 76.8^o and 25.2^o
• B. 10.8^o and 224.6^o
• C. 112.4^o and 72.0^o
• D. 39.6^o and 212.4^o

A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle?

• A. 5/12
• B. 1/3
• C. 3/4
• D. 7/12

Find the integral values of x and y satisfying the inequality 3y + 5x ≤ 15, given that y > 0, y< 3 and x > 0.

• A. (1,1), (1,2), (1,3)
• B. (1,1), (2,1), (1,3)
• C. (1,1), (3,1), (2,2)
• D. (1,1), (1,2), (2,1)

Calculate the length in cm. of the area of a circle of diameter 8cm which subtends an angle of 22\(\frac{1}{2}\)^o at the centre of the circle

• A. 2\(\pi\)
• B. \(\pi\)
• C. \(\frac{2}{3}\)
• D. \(\frac{\pi}{2}\)

The angles of triangle are (x + 10)°, (2x - 40)° and (3x - 90)°. Which of the following accurately describes the triangle?

• A. it is a scalene triangle
• B. it is right angled isosceles triangle
• C. t is an equilateral triangle
• D. It is an isosceles triangle but not right angled

(a) Copy and complete the table of values for \(y = 3\sin x + 2\cos x\) for \(0° \leq x \leq 360°\).

(b) Using a scale of 2 cm to 60° on x- axis and 2 cm to 1 unit on the y- axis, draw the graph of \(y = 3 \sin x + 2 \cos x\) for \(0° \leq x \leq 360°\).

(c) Use your graph to solve the equation : \(3 \sin x + 2 \cos x = 1.5\).

(d) Find the range of values of x for which \(3\sin x + 2\cos x < -1\).

In the diagram, IG is parallel to JE, JEF = 120° and FHG = 130°, find the angle marked t

• A. 40°
• B. 70°
• C. 80°
• D. 100°