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
KCSE Mathematics Topical Questions and Answers in PDFForm 1 Topical Questions and Answers for KCSE
Marking Schemes
Form 3 Mathematics(a) complete the table below, giving your values correct to 2 decimal places ( 2 marks) 
(b) On the grid provided, using the same scale and axes, draw the graphs of y = sin x0 and y = 1 – cos x0 ≤ x ≤ 1800 Take the scale: 2 cm for 300 on the x- axis 2 cm for I unit on the y- axis (c) Use the graph in (b) above to (i) Solve equation 2 sin xo + cos x0 = 1 ( 1 mark) (ii) Determine the range of values x for which 2 sin xo > 1 – cos x0 ( 1 mark)
Answer
Form 3 Mathematics
Given that sin 2x = cos (3x — 10°), find tan x, correct to 4 significant figures.
answer
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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