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KCSE Mathematics Paper 1 Revision Questions and Answers Set 7
Solve the equation #(1)/(3x)+1/4=(3)/(5x)#
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1.
Without using logarithms or calculator, evaluate #(0.08times 0.54 times sqrt(20.25))/(0.81 times 0.012)#
2.
A large scale farmer uses #1/2# of his land to plant maize, #1/5# for planting beans, #1/3# of the remainder for grazing and the rest for horticultural farming. If he uses 10 hectares for grazing, determine how much land he uses for horticultural farming
3.
Onyango is now three times as old as his daughter and four times as old as his son. Eight years from now Onyango age will be twelve years more than the sum of ages of his son and daughter. Find Onyango’s present age
4.
Find the equation of the line which passes through the point P(1,3) and is perpendicular to the line whose equation is 2y-3x = 7
5.
Given the column vectors, #a=((-1),(4))#,#b=((-3),(-2))#,#c=((-2),(-1))# that p=2a-4b+3c, express P as a column vector
6.
Kamau left sh. 2,116,800 in his will to be shared between his wife, daughter and son in the ratio 1:2:3. His wife decided to devide her share equally between her daughter and son. Find how much the son finally got
7.
Nyongesa spent a total of sh.970 on buying 3 text books and 5 pens. If he had bought 2 text books and 8 pens he would have saved sh 90. Find the cost of one text book.
8.
A rectangular tank measures 62cm long, 50cm wide and contains water to a depth of 15cm. three solid metal spheres of radius 7.7 cm each are placed in the tank.calculate to the nearest centimeter the new depth of water in the tank.
9.
The marked price of radio cassette player is sh.12,000. A trader sold it to a customer 10% discount. If the trader still made a profit of 25% on the cost price, what was its cost price.
10.
Solve the equation #(1)/(3x)+1/4=(3)/(5x)#
11.
The student population in a mixed secondary school is 600. On a particular day #1/5# of the boys and# 1/4# of the girls attended a sports meeting. If 468 students were left behind. Find how many more boys than girls attended the meeting.
12.
A truck travelled from Nakuru to Sotik a distance of 150km. The average speed of the truck for first 80km was 20km/h and the remaining part of the journey its average speed was 35km/h. calculate the average speed for the whole journey
13.
In the figure below ABC is a triangle in which AB=10cm and angle ABC=300. Line AD is perpendicular to BC and BD:DC=2:1. Calculate to one decimal place the length of the AC.
14.
Given that log 3=0.4771, and log 5= 0.6990 find without using mathematical tables the value of log 3375
15.
The radius of a cylindrical container is increased by 40% while its height is decreased by 30%. The capacity of the old container is 250 cm3. Find the capacity of the new container.
16.
A rectangular cabin measuring 6.5m long , 4.8m wide and 3m high is constructed using wooden planks. The cabin has two door each measuring 2.0m by 1.02m and four windows each measuring 90cm by 60cm. Each wooden plank measures 1.8m by 15 cm and costs sh 45.50. apart from doors and window. All the walls, the floor and the ceiling are covered with the wooden planks Calculate: a)the total area covered
17.
A cylindrical container has a capacity of 1.12 litres. The container is redesigned so that the new container is similar to the old container and has a capacity of 3.78 litres a) Determine in the simplest terms possible i) the volume scale factor of this enlargement ii)the linear scale factor iii)the area scale factor b)Calculate the height of the new container given that the height of the old
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