 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
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