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)
FORMULAE AND VARIATIONS | Change of the subject | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION AGiven that P = QXⁿ make n the subject of the formula and simplify your answer. (3mks)
The initial salary of Mr. Lutta is sh. 42, 000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands. (3mks)Worked Answer:
(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:
A man invests Ksh.24, 000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after 1½ years. (3mks)Worked Solution
a) An arithmetic progression is such that the first term is -5, the last is 135 and the sum of progression is 975.
i) The number of terms in the series (7mks)ii) The common difference of the progression (2mks)b) The sum of the first three terms of a geometric progression is 27 and the first term is 36. determine the common ratio and the value of the fourth term (4mks)
Worked Solution:
Draw the graph of
b) Using a suitable line solve2x2 – 3x – 50 = 0 (5mks)
Worked solution:
A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch worth 52 Deutsche marks.Find the value of the watch in:-a) Swiss Francsb) Kenya shillings (3mks) Use the exchange rates below1 Swiss Franc = 1.28 Deutsche marks1 Swiss Franc = 45.21 Kenya shillings Worked Answer:
Form 3 Mathematics
In the figure below, OA = a, OB = b and BX meets OY at C. OX:OA = 1:2 and BY:YA = 1:3.
(a) Express in terms of a and b:
(ii) OY; (iii) BX. (b) Given that OC = hOY and BC = kBX, determine the values of h and k.
answers
Form 3 Mathematics
Mbaka bought some plots at Ksh 400,000 each. The value of each plot appreciated at the rate of 10% per annum.
(a) Calculate the value of a plot after 2 years. (b) After some time t, the value of a plot was Ksh 558,400. Find t, to the nearest month. (c) Mbaka sold all the plots he had bought after 4 years for Ksh2,928,200. Find the percentage profit Mbaka made, correct to 2 decimal places.
answers
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' shows income tax rates in a certain year.
In that year, mawira earned a salary of 41000 per month. calculate mawira's income tax per month given that a monthly tax relief of ksh 1162 was allowed
answer
Form 3 Mathematics
OAB is a Sector of a circle of radius r cm. Angle AOB = 60°.
Find, in its simplest form, an expression in terms of r and π for the perimeter of the sector. 
answer
Form 3 Mathematics
A bag contains 6 red counters and 4 blue counters. Two counters are picked from the bag at random, without replacement.
(a) Represent the events using a tree diagram. (b) Find the probability that the two counters picked are of the same colour.
answers
Form 2 Mathematics
An arc of a circle subtends an angle of 150° at the circumference of the circle. Calculate the angle subtended by the same arc at the centre of the circle.
ANSWER
Form 3 Mathematics
A quantity P varies inversely as the square of another quantity L.When P = 0.625, L = 4. Determine P when L= 0.2.
ANSWER
Form 3 Mathematics
Simplify
Give the answer in the form a + b √c where a, b and c are integers.
ANSWER
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