(a) Given that (7 -2x), 9, (5x + 17) are consecutive terms of a Geometric Progression (G. P) with common ratio, r>0, find the values of x.

(b) Two positive numbers are in the ratio 3:4. The sum of thrice the first number and twice the second is 68. Find the smaller number.

Given that y =( $\frac{pr}{m} - p^2r$ ) $^{\frac{-3}{2}}$  

(a) make r the subject;

(b) find the value of r when y = -8, m = 1 and p = 3.

A chord subtends an angle of 72º at the centre of a circle of radius 24.5m. Calculate the perimeter of the minor segment. [Take π = $\frac{22}{7}$

In the diagram, BCDE is a circle with centre

A. ∠BCD = (2x + 40)°, ∠BAD = (5x - 35)º, ∠BED = (2y+ 10)° and ∠ADC=40". Find:

(a) the values of x and y;

a) Given that m = tan 30º and n = tan 45º, simplify, without using calculator, $\frac{ m - n}{mn}$ , leaving the answer in the form p + $\sqrt{q}$

b) There are 20 women in a bus. 15 of them wear glasses and 10 wear wristwatches. If a woman is chosen at random from the bus, find the probability that she wears both glasses and wristwatches.

The graph shows the relation of the form y = mx $^2$ + nx + r, where m, n and r are constants.

Using the graph:

(a) state the scale used on both axes; (b) find the values of m, n and r; (c) find the gradient of the line through P and Q; (d) state the range of values of x for which y > Q.

(a) A man purchased 180 copies of a book at N250.00 each. He sold y copies at N300.00 each and the rest at a discount of 5 kobo in the Naira of the cost price.

If he made a profit of N7,125.00, find the value of y.

(b) A trader bought x bags of rice at a cost C = 24x + 103 and sold them at a price, S = $\frac{x^2}{20} - 33x$ .

Find the expression for the profit (i) If 20 bags of rice were sold,

(ii) calculate the percentage profit.

The table shows the monthly expenditure (in percentages) of Mr. Okafor's salary.

(a) Calculate the percentage of Mr. Okafor's salary that was put into savings.

(b) Illustrate the information on a pie chart.

(c) If Mr. Okafor's annual gross salary is $28,800.00 and he pays tax of 12%.

Calculate; (i) his monthly tax; (ii) the amount saved each month.

(a) Copy and complete the table of values for y = 3Sinx + 7Cosx for 0°

(b) Using a scale of 2cm to 20° on the x-axis and 2cm to 2 units on the y-axis, draw the graph of y = 3Sinx + 7Cosx for 0°

(c) Using the graph, find the;

(i) value of y when x= 150°,

(i) range of values of x for which y > 0.

The table shows the distribution of ages of a number of children in a school. If the mean of the distribution is 7, find the;

(a) value of x, (b) standard deviation of their ages.