-
Coast bus left Nairobi at 8.00a.m. and traveled towards Mombasa at an average speed of 80km/hr.
(Solved)
Coast bus left Nairobi at 8.00a.m. and traveled towards Mombasa at an average speed of 80km/hr. At 8.30am, Lamu bus left Mombasa towards Nairobi at an average speed of 120km/h. Given that the distance between Nairobi and Mombasa is 400km; determine:
(i) The time Lamu Bus arrived in Nairobi.
(ii) The time the two buses met.
(iii) The distance from Nairobi to the point where the buses met.
(iv) How far Coast Bus is from Mombasa when Lamu bus arrives in Nairobi.
Date posted:
August 20, 2019
.
Answers (1)
-
The diagram below, not drawn to scale, is a regular pentagon circumscribed in a circle of radius 10cm at centre O
Find
(a) The length of any...
(Solved)
The diagram below, not drawn to scale, is a regular pentagon circumscribed in a circle of radius 10cm at centre O

Find
(a) The length of any side of the pentagon
(b) The area of the shaded region
Date posted:
August 20, 2019
.
Answers (1)
-
The table below shows how income tax was charged on income earned in a certain year.
(Solved)
The table below shows how income tax was charged on income earned in a certain year.

Mr. Gideon is an employee of a certain company and earns a salary of Ksh. 15,200 per month. He is housed by the company and pays a nominal rent of Ksh. 1050 per month. He is married and is entitled to a family relief of Kshs. 450 per month.
(i) Calculate his taxable income in k£ p.a.
(ii) Calculate his gross tax per month.
(iii) Calculate his net tax per month.
(iv) Calculate his net salary per month.
Date posted:
August 20, 2019
.
Answers (1)
-
A group of 10 soldiers set off with enough food to last 7 days. After 4 soldiers deserted,
(Solved)
A group of 10 soldiers set off with enough food to last 7 days. After 4 soldiers deserted, how many more days will the food last for the remaining soldiers?
Date posted:
August 20, 2019
.
Answers (1)
-
The masses of two similar bars of soap are 343g and 1331g. If the surface area of the smaller bar is 196cm2. Calculate the surface...
(Solved)
The masses of two similar bars of soap are 343g and 1331g. If the surface area of the smaller bar is 196cm2. Calculate the surface area of the larger bar.
Date posted:
August 20, 2019
.
Answers (1)
-
All prime numbers between ten and twenty are arranged in descending order to form a number.
(Solved)
All prime numbers between ten and twenty are arranged in descending order to form a number.
(i) Write down the number.
(ii) State the total value of the third digit of the number formed in (i) above.
Date posted:
August 20, 2019
.
Answers (1)
-
Three people Felix, Evans and Eunice contributed money to start a business. Felix contributed a quarter of the total amount and Evans two fifths of...
(Solved)
Three people Felix, Evans and Eunice contributed money to start a business. Felix contributed a quarter of the total amount and Evans two fifths of the remainder. Eunice’s contribution was one and a half times that of Felix. They borrowed the rest of the money from the bank which was Kshs. 60,000 less than Eunice’s contribution. Find the total amount required to start the business.
Date posted:
August 20, 2019
.
Answers (1)
-
Three vertices of a parallelogram PQRS are P(-1,2), Q(8,-5) and R(5,0).
(Solved)
Three vertices of a parallelogram PQRS are P(-1,2), Q(8,-5) and R(5,0).
(i) On the grid provided below, draw the parallelogram PQRS.
(ii) Determine the length of the diagonal QS.
Date posted:
August 20, 2019
.
Answers (1)
-
Mr. Kirui earns a basic salary of sh. 12,000 per month. In addition he is also paid a commission of 2½ % for sales above...
(Solved)
Mr. Kirui earns a basic salary of sh. 12,000 per month. In addition he is also paid a commission of 2½ % for sales above sh. 15,000. In a certain month, he sold goods worth sh. 140,000 at a discount of 5%. Calculate his total earning that month.
Date posted:
August 20, 2019
.
Answers (1)
-
The table below shows marks scored by 40 students in a mathematics test
(Solved)
The table below shows marks scored by 40 students in a mathematics test

Calculate the median mark.
Date posted:
August 20, 2019
.
Answers (1)
-
A rectangular tank has a hole in it such that 11cm3 of water leaks out every 5 seconds.
(Solved)
A rectangular tank has a hole in it such that 11cm3 of water leaks out every 5 seconds. Using π as 3.142. Calculate:-
(i) The capacity of the water lost from the tank every hour.
(ii) The time it takes to till a cylindrical tank of radius 30cm and height 30cm into which the leaking water drains; in hours to 4 significant figures.
Date posted:
August 20, 2019
.
Answers (1)
-
Solve the equation 8x2 + 2x -3 = 0 hence solve the equation 8cos2y + 2cosy – 3 = 0 for the range 00 0
(Solved)
Solve the equation 8x2 + 2x -3 = 0 hence solve the equation 8cos2y + 2cosy – 3 = 0 for the range 00 0.
Date posted:
August 20, 2019
.
Answers (1)
-
The figure below represents a plot of land ABCD such that AB=85m, BC=75m, CD=60m, DA=50m and angle ACB = 900.
(Solved)
The figure below represents a plot of land ABCD such that AB=85m, BC=75m, CD=60m, DA=50m and angle ACB = 900. (Not drawn to scale).

Determine the area of the plot, in hectares, correct to two decimal places.
Date posted:
August 20, 2019
.
Answers (1)
-
A minibus covered a distance of 200km at an average speed of 100km/hr.
(Solved)
A minibus covered a distance of 200km at an average speed of 100km/hr. It traveled at a speed of 80km/hr for 3/5 of its journey. At what speed did it travel the remaining part of the journey.
Date posted:
August 20, 2019
.
Answers (1)
-
A test-tube consist of a cylinder and a hemisphere of the same radius; 282 cm3 of water is required to fill the whole tube...
(Solved)
A test-tube consist of a cylinder and a hemisphere of the same radius; 282 cm3 of water is required to fill the whole tube and 262cm3 is required to fill it at a level of 1cm3 below the top of the tube. Find the radius of the tube and the length of the cylindrical part.

Date posted:
August 20, 2019
.
Answers (1)
-
Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression leaving your answer in prime factor form.
(Solved)
Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression

leaving your answer in prime factor form.
Date posted:
August 20, 2019
.
Answers (1)
-
The distance from town A to town B is 360km. A bus left town A and traveled towards town B at an average speed of...
(Solved)
The distance from town A to town B is 360km. A bus left town A and traveled towards town B at an average speed of 60km/h. After 1½ hours, a car left town A and traveled along the same road at an average speed of 100km/h.
(a) Determine:
(i) The distance of the bus from town A when the car took off.
(ii) The distance the car traveled to catch up with the bus.
(b) The distance from P to Q is 160km. If an express train was 16km/h slower it would take 20 minutes longer on the journey. Find the average speed of the express train.
Date posted:
August 20, 2019
.
Answers (1)
-
A transformation represented by the matrix
(Solved)
A transformation represented by the matrix
maps the points A(0, 0), B(2, 0), C(2, 3) and D(0, 3) of the quad ABCD onto A¹B¹C¹D¹ respectively.
(a) Draw the quadrilateral ABCD and its image A¹B¹C¹D¹.
(b) Hence or otherwise determine the area of A¹B¹C¹D¹.
(c) Another transformation
maps A¹B¹C¹D¹ onto A¹¹B¹¹C¹¹D¹¹. Draw the image A¹¹B¹¹C¹¹D¹¹.
(d) Determine the single matrix which maps A¹¹B¹¹C¹¹D¹¹ back to ABCD.
Date posted:
August 20, 2019
.
Answers (1)
-
Two aeroplanes, T and S leave an airport A at the same time.
(Solved)
Two aeroplanes, T and S leave an airport A at the same time. S flies on a bearing of 0600 at 750km/h while T flies on a bearing of 2100 at 900 km/h.
(a) Use a suitable scale, to draw a diagram showing the relative position of the aeroplanes
after two hours.
(b) Use your diagram to determine:
(i) the distance between the two aeroplanes.
(ii) the bearing of T from S.
(c) Aeroplane T later flew to the East at the same speed for one hour. Show its final position
on the diagram in (a) above.
Determine:
(i) Its final distance from A.
(ii) Its final bearing from S.
Date posted:
August 20, 2019
.
Answers (1)
-
The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
measuring 6 cm by 8cm. The slant edges...
(Solved)
The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
measuring 6 cm by 8cm. The slant edges are each 26cm long.

Determine:
a) Height of the original pyramid.
b) Volume of the frustum.
c) Density in g/cm3 if the solid has a mass of 7.488kg
Date posted:
August 20, 2019
.
Answers (1)