GRAPHICAL METHODS | Determining of the centre and radius of a circle | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION A2X² + 2y² - 6X + 10y + 9 = 0 is the equation of a circle. Find the radius and the centre of the circle. (4mks)
 (a) Given that y = 7 + 3x-x², complete the table below.(2mks)
Worked Solution
(b) On the grid provided and using a suitable scale draw the graph of y = 7 + 3x-x². (2mks)
(c) On the same grid draw the straight line and use your graph to solve the equation x² - 4x– 3 = 0. (3mks)
(d) Determine the coordinates of the turning point of the curve. (2mks)Worked Solution:
Draw the graph of
b) Using a suitable line solve2x2 – 3x – 50 = 0 (5mks)
Worked solution:
Form 3 Mathematics
The length of a shadow' of a mast was measured at intervals of 1 hour and recorded as shown in the table below.
(a) On the grid provided, draw the graph of length against time.
(b) Determine the rate of change of the shadow’ length at = 2
answers
Form 3 Mathematics
The table below represents a relationship between two variables x and y.
(a) On the grid provided draw the line of best fit.
(b) Use the graph to find the value off when x = 0.
answers
Form 3 Mathematics(a) (i) Complete the table below for the function y = x3 + x2 – 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)
Answer
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
answers
Form 3 Mathematics
Find the coordinates of the turning point of the curve whose equation is y =6 +2x – 4x2
Answer
Form 4 Mathematics
The equation of a circle is given by x2 + 4x +y2 – 5 = 0. Find the radius and the center of the circle.
Answer
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.
answers
Form 3 Mathematics
A solution was gently heated, its temperature readings taken at intervals of 1 minute and recorded as shown in the table below
a) Draw the time-temperature graph on the grid provided
b) Use the graph to find the average rate of change in temperature Between t= 1.8 and t= 3.4
answer
Form 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
answers
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.
answer
Form 4 Mathematics
(a) Complete the following table for the equation y = x3 + 2x3
Answer
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