# KCSE Mathematics Paper 1 Revision Questions and Answers Set 5

KCSE Mathematics Paper 1 Revision Exercise Set 5.

In this session, we are going to solve several exam standard Mathematics Paper 1 questions. Answers are in video format.

Lessons (**17**) * SHARE*

- 1.
Factorise #3x^2-11x+6#

2m 34s - 2.
On a day when the currency exchange rate was:
100 Japanese yen=Ksh 72.50
A Japanese tourist exchanged all his money for Ksh 28 130. If the bank charged him a commission of 3% on the transaction, calculate the number of Japanese yen he exchanged.

3m 29s - 3.
The radius of a cylinder is increased by 20% while its height is reduced by 15%. Find the percentage increase in the volume of the cylinder.

5m 4s - 4.
The line passing through the point A(1,2) is parallel to the line whose equation is 3y=2x+5. Find the equation of the line and hence determine the coordinate P where this line cuts the x-axis.

4m 44s - 5.
In form one class there are 5 more boys than girls. On a certain day one-quarter of the boys and one-fifth of the girls went for a music festival. If 8 students from this class went to the music festival, find the number of students in the class.

3m 56s - 6.
Without using mathematical tables evaluate
#(sin 60^0.tan 30^0.tan 45^0 -cos 45^0.cos 60^0)/(cos 30^0.tan 60^0 .sin 30^0 - cos 60^0.sin 60^0.cos 30^0)#

6m 20s - 7.
Syengo spend one-third of his salary on food, one-quarter on rent, three-fifth of the remainder on transport and saves the rest. If he spend sh 1 800 on transport, find how much he saves.

5m 37s - 8.
The sum of four consecutive even numbers is 108. Find the numbers.

1m 51s - 9.
A cylindrical container of diameter 42 cm and height 30cm is one-third full of water. The container is filled using a smaller cylindrical can of radius 4.2 and height 10cm. Determine the number of full cans required to fill the container.

3m 40s - 10.
Kambo bought a suit for sh 1 200 and marked it at a price such that after allowing his customer a 10% discount, he would make a profit at 20%. Calculate the marked price of the suit.

2m 55s - 11.
The figure shows a solid cone of the base radius 7cm and height 10cm.
Calculate to one decimal place
a)the slant height of the cone
b)the total surface area of the cone

4m 46s - 12.
Factorise the expression #2x^2-3x-5# and hence solve the quadratic equation #2x^2-3x-5=0#

3m 51s - 13.
Sixteen men working at the rate of 9 hours a day can complete a piece of work in 14days. How many more men working at the rate of 7 hours a day would take to complete the same job in 12day?

3m 9s - 14.
Simplify
#(x-2)/(x+2)-(2x-4)/(x^2-4)#

2m 26s - 15.
The figure shows a circle centre O and radius 6cm. AOBC is a sector of the circle and AOB is a triangle in which angle AOB is equal 700. Calculate to 2 decimal places the area of the shaded region. (take pi=227 )

3m 36s - 16.
A piece of wire can be folded into a rectangle whose dimensions are such that its length is 3cm longer than its width, the area of the rectangle so formed is 28#cm^2#
a)Determine
i)the dimensions of the rectangle
ii)the perimeter of the rectangle
b)The wire can also be folded into a circle. Taking pi=#22/7# find the radius of the circle and hence area of the circle.

7m 21s - 17.
Solve the inequalities
i) #1/4x-1/2>1/3x-2/3#
ii)3x+4=-2
5x-11<4

6m 5s

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