# Form 4 Mathematics Paper 2 Section 2 Exam Questions and Answers

Form 4 Mathematics Paper 2 Section 2 Exam Standard Questions and Answers.

Answers are in video format.

Lessons (**12**) * SHARE*

- 1.
The table below shows income tax rates
a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is deducted from his total earnings in
form of income tax. Calculate Mr. Juma’s taxable income in Ksh per month.
b) Mr. Juma other deductions include:
5% of basic salary as cooperative shares
2% of basic salary as WCPS
Insurance policy Ksh 2800
Given that his taxable

12m 28s - 2.
The figure below shows a square based pyramid VABCD. Point V is vertically above middle of the base ABCD. AB = 10cm and VC = 13cm
Find:-
(a) The length of diagonal AC
(b) The height of the pyramid
(c) The acute angle between VB and the base ABCD
(d) The acute angle between BVA and ABCD
(e) The acute angle between AVB and DVC

16m 4s - 3.
Mr. Karanja owns a bicycle which he sometimes rides to go to work. Out of the 21 working days in a month, he only rides to work for 18 days. If he rides to work, the probability that he is bitten by a rabid dog is
#4/15# otherwise its only 113. When he is bitten by the dog, the probability that he will get treatment is #4/5# and if he does not get treatment the probability that he will

16m 7s - 4.
The positions of airport P and Q are
(60°N, 45°W) and (60°N, K°E) respectively. It takes a plane 5 hours to travel due eat from P to Q at an average speed of 600 knots. By taking R = 6370 km and
#pi# = #22/7#
a) Calculate the value of K
b) The local time at P is 10.45am. What is the local time at Q when the plane reaches there?
(Give time in 12 hour clock)
c) Find the distance PQ measured along

7m 18s - 5.
Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the equation #V = 3t^2 -15t + 18#.
Find
a) The values of t for which P is instantaneously at rest.
b) An expression in terms of t for the distance P from O after t seconds.
c) The total distance travelled by P in the first 4 seconds after passing point O.

9m 29s - 6.
The marks scored in a mathematics CAT in a certain class were recorded in the table below.
a).Find the mean mark.
b).On the grid provided draw the
ogive curve to represent the above data.
c) From the graph determine the interquartile range.

16m 25s - 7.
An arithmetic progression of 41 terms is such that the sum of the first five terms is 560 and the sum of the last five terms is -250. Find:
a) The first term and the common difference
b) The last term
c) The sum of the progression

10m 27s - 8.
A farmer has at least 50 acres of land on which he plans to plant potatoes and cabbages. Each acre of potatoes requires 6 men and each acre of cabbages requires 2 men. The farmer has 240 men available and he must plant at least 10 acres of potatoes. The profit on potatoes is Ksh. 1000 per acre and on cabbages is Ksh. 1200 per acre. If he plants x acres of potatoes and y acres of cabbages:

15m 1s - 9.
(a) Using a ruler and a pair of compasses only. Construct triangle ABC in which AB = 5cm, BC = 4.5cm and angle #BAC= 60^0#
(b) On the same side of AB as C:
(i) Determine the locus of a point P such that Angle #APB =90^0#
(ii) Construct the locus R such that #AR gt 2cm#
(iii) Determine the region T such that Angle #ACT ge BCT#

15m 26s - 10.
(a) Using trapezoidal rule estimate the area bounded by the curve #y=3x^2 -2# and the lines
x=-4, x=4 and x-axis.
(b) Find the actual area bounded by the curve #y=3x^2-2# and the lines x=-4,x=4 and x-axis.
(c) Calculate the percentage error when trapezoidal rule is used.

9m 15s - 11.
Given the quadratic function
#y = 3x^2 + 4x - 2#
a).Complete the table below for values of x ranging #- 4 le x le3#.
b) Using the grid provided draw the
graph of #y = 3x^2 + 4x – 2# for #-4 lex le3#
c) Using the graph, find the solution to the equations.
i) #3x^2 + 4x – 2 = 0#
ii) #3x^2 + 7x + 2 = 0#

14m 58s - 12.
a).Complete the table given below by filling the blank spaces.
b) On the grid provided draw on the same axes, the graph of y=4 cos2x and y=2 sin (2x +30) for #O^0 leX le180^0#. Take the scale 1cm for #15^0# on
the x –axis and 1cm for 1 unit on the y-axis.
c) From your graph
i) State the amplitude of y= 4cos 2x.
ii) Find the period of y=2sin (2x +30)
d) Use your graph to solve

13m 47s

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