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Form 4 Maths Question Paper

Form 4 Maths

Course:Mathematics

Exam Year:2012

ST. BENARD SECONDARY SCHOOL
END OF TERM IN EXAMINATION
FORM 4
MATHEMATICS
TIME: 2 Hrs 30 min

QUESTION: SECTION A
1. Without using logarithms evaluate: (4 mks)

v(0.8064 x 6.048)
1.008 x 0.1344

Find the equation of the line which is parallel to the line 8 xs + 2y – 3 and has the same x- intercept as this line. (3 mks)

Give that sin x = 0.6 and that x is abuse find the value of tan x and cos x (3 mks)

Make n the subject of the formula (3 mks)
P = 2p ( 1+ ?k)?^n
W
The sum of interior angles of a regular polygon is 10800
Find the number of sides of the polygon ( 2 mks)
Find the interior angle of the polygon (2 mks)
Solve the simultaneous equations. (3 mks)
X2 + xy = 2
X + y = 2
Simplify

-v(2^x+5^2x )
2 –x (2 mks)
2. Otieno started a business. After 3 months 120 joined him and after another 6 months Ahebet joined them. The capital they kept in the business was sure that Otieno’s share to ahebet’s share was in the ratio 1:2 and Kamau’s share to Ahebet’s share was in the ratio 2:5. If the end of the year the business made Ksh. 327 600 which were all shared out. How much did Ahebet get?
(3 mks)
Express the number 1470 and 7056 as product of their prime factors. Hence evaluate 1470 2 / (7056) ½ leaving your answer inform of prime factors ( 3 mks)
In the figure below, PAQ is a tangent to the circle at A. Find < DAB and <BAQ. ( 3 mks)

3.Find the upper quartile, lower quartile and the semi- interquartile range of the data given below.48,53,49,45,55,49,47,55,48,57,51,46 ( 4 mks)
Represent the following in equation on a number line. ( 3 mks)
4x – 9 <6+x
8- 3x = x+ 4
express 45m/s : 60km/hr as a simplified ratio (2 mks)
use logarithms to evaluate ( 4 mk)
solve for x if 3 2x = 3= 27 (2 mks)
what is the volume and surface area of a sphere whose radius is 7.0cm ( 4 mks)
SECTION B
4.a) draw the graph of equation Y = 2x2+ 3x +1 = 0 ( 6 mks)
Use the range -3 = x = 2
Use the graph to solve the equation
2x 2 + 3x + 1 =0 ( 2 mks)
2x2 – 3x + 5 = 0 ( 2 mks)
Using a ruler and a pair of compass draw a triangle ABC such that AB=6.0CM,AC=4CM and angle
ABC=60 0 construct a circle passing through A, Band C. Measure the length of BC and hence or otherwise find the area of the triangle ABC. (10MKS)

5. The table below shows the wages of 28 workers
Wages(sh) 45-54 55-64 65-74 75-84 85-94
Frequency 2 6 5 5 6

Calculate
a) The mean and standard deviation (5mks)

b) The inter-quartile range (5mks)

6.a Complete the following table giving your answer to two decimal places. (4mks)
X0 o 15 30 45 60 75 90 105 120 135 150 160 180
2 sin x
1-cos x

b) On the grid provided plot the graph of y=2sin x and y=1-cos x on the same set of axes for 0= x =1800
(5mks)
c) Give the values of x at the intersections (1mks)

7. given that x2+y2+=29 and x+y=9.Calculate the value of
A) X2+2xy+y2 (2mks)
B) 2xy (2mks)

c) Find the values of x and y (4mks)

d) Factorize the equation x2+6x+9 hence or otherwise find the total value of the equation. (2mks

Form 4 Maths Question Paper

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