Form 3 Mathematics
Three quantities X, Y and Z are such that X varies directly as the square root ofY and inversely as the fourth root of Z. When X = 64, Y = 16 and Z = 625.
(a) Determine the equation connecting X, Y and Z. (b) Find the value of Z when Y = 36 and X = 160. (c) Find the percentage change in X when Y is increased by 44%. Form 3 Mathematics
The table below shows values of x and some values of for the curve y = x^{3} 2x^{2} 9x + 8 for 3 ≤ x ≤ 5. Complete the table.
(b) On the grid provided, draw the graph of y = x^{3} 2x^{2} 9x + 8 for 3 ≤ x ≤ 5 for Use the scale; 1 cm represents 1 unit on the xaxis 2 cm represents 10 units on the yaxis
(c) (i) Use the graph to solve the equation x^{2}  2x^{3} 9x + 8 = 0. (ii) By drawing a suitable straight line on the graph, solve the equation x^{2}  2x^{2} 11x + 6 = 0. Form 3 Mathematics
The income tax rates of a certain year were as shown in the table below:
In that year, Shaka’s monthly earnings were as follows: Basic salary Ksh 28600
House allowance Ksh 15 000 Medical allowance Ksh 3 200 Transport allowance Ksh 540 Shaka was entitled to a monthly tax relief of Ksh 1056. (a) Calculate the tax charged on Shaka’s monthly earnings. (b) Apart from income tax, the following monthly deductions were made; a Health Insurance fund of Ksh 500, Education Insurance of Ksh 1 200 and 2% of his basic salary for widow and children pension scheme. Calculate Shaka’s monthly net income from his employment. Form 3 Mathematics
Given that OA = 3i+ 4j+ 7k, OB= 4i + 3j + 9k and OC = i + 6j + 3k. show that points A, B and C are collinear.
Form 3 Mathematics
A committee of 3 people was chosen at random from a group of 5 men and 6 women. Find the probability that the committee consisted of more men than women.
Form 3 Mathematics
The equation of a circle is x^{2}+ y^{2}  4x + 6y + 4 = 0. On the grid provided, draw the circle.
Form 3 Mathematics
Two teachers are chosen randomly from a staff consisting 3 women and 2 men to attend a HIV/AIDs seminar. Calculate the probability that the two teachers chosen are:
(a) Of the same sex
(b) Of opposite sex Form 3 MathematicsA point R divides a line PQ internally in the ration 3:4. Another point S, divides the line PR externally in the ration 5:2. Given that PQ = 8cm, calculate the length of RS, correct to 2 decimal places. Form 3 MathematicsForm 3 Mathematics
A tailor intended to subdivide a piece of cloth into 7 equal parts. She approximated 7 m to 0.14 m. Calculate the percentage error in the approximation.
Form 3 Mathematics
The roots of a quadratic equation are x = 3/5 and x = 1. Form the quadratic equation in the form ax^{2} + bx + c = 0 where a, b and c are integers.
Form 3 Mathematics
An institution intended to buy a certain number of chairs for Ksh 16 200. The supplier agreed to offer a discount of Ksh 60 per chair which enabled the institution to get 3 more chairs.
Taking x as the originally intended number of chairs, (a) Write an expressions in terms of x for: (i) original price per chair; (ii) price per chair after discount. (b) Determine: (i) the number of chairs the institution originally intended to buy; (ii) price per chair after discount; (iii) the amount of money the institution would have saved per chair if it bought the intended number of chairs at a discount of 15%. 
Categories
All
Archives
December 2024
