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Form 3 Mathematics(a) (i) Complete the table below for the function y = x^{3} + x^{2} – 2x (2 marks) (ii On the grid provided, draw the graph of y = x3 + x2 – 2x for the values of x in the interval – 3 ≤ x ≤ 2.5 (2 marks) (iii) State the range of negative values of x for which y is also negative (1 mk) (b) Find the coordinates of two points on the curve other than (0,0) at which x coordinate and y coordinate are equal (3 marks) Form 3 Mathematics
In an experiment involving two variables t and r, the following results were obtained
a) On the grid provided, draw the line of best fit for the data
b) The variables r and t are connected by the equation r= at + k where a and k are constant Determine i)The values of a and K: ii) The equation of the line of best fit. iii)The value of t when r = 0 Form 3 Mathematics
Find the coordinates of the turning point of the curve whose equation is y =6 +2x – 4x^{2}
Form 4 Mathematics
The equation of a circle is given by x^{2} + 4x +y^{2} – 5 = 0. Find the radius and the center of the circle.
Form 3 Mathematics
Amina carried out an experiment to determine the average volume of a ball bearing. He started by submerging three ball bearings in water contained in a
measuring cylinder. She then added one ball a time into the cylinder until the balls were nine. The corresponding readings were recorded as shown in the table below
a) i) On the grid provided, Plot (x, y) where x is the number of ball bearings and y is the corresponding measuring cylinder, reading.
ii) Use the plotted points to draw the line of best fit b) Use the plotted points to draw the line of best fit. i) The average volume of a ball bearing; ii) The equation of the line. c) Using the equation of line in b(ii) above, determine the volume of the water in the cylinder. Form 3 MathematicsForm 4 Mathematics
The table below shows the values of the length X ( in metres ) of a pendulum and the corresponding values of the period T ( in seconds) of its oscillations obtained in an experiment.
(a) Construct a table of values of log X and corresponding values of log T,
correcting each value to 2 decimal places (b) Given that the relation between the values of log X and log T approximate to a linear law of the form m log X + log a where a and b are constants (i) Use the axes on the grid provided to draw the line of best fit for the graph of log T against log X.
(ii) Use the graph to estimate the values of a and b
(b) Find, to decimal places the length of the pendulum whose period is 1 second Form 1 Mathematics
The histogram below represents the distribution of marks obtained in a test.
The bar marked A has a height of 3.2 units and a width of 5 units. The bar marked B has a height of 1.2 units and a width of 10 units
If the frequency of the class represented by bar B is 6, determine the frequency of the class represented by bar A.
Form 4 Mathematics
(a) Complete the following table for the equation y = x^{3} + 2x^{3}
Answer
Form 3 Mathematics  Topical Questions and Answers(a) Complete the table for the equation Y = 2 sin (3x + 30^{0}) (b) Using the grid provided, draw the graph of y = 2 sin ( 3x + 30^{0}) for 0 ≤ x ≤ 90^{0}. Take 1 cm to represent 50 on the x axis and 2 cm to represent I unit on the y axis (c) Use the graph in (b) to find the range of x that satisfy the inequality y^{3} ≤ 1.6
ANSWER
Related Questions on Graphical MethodsForm 4 Mathematics  Topical Questions and AnswersRelated Questions on Graphical MethodsFree 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
