-
In the figure below OQ = q and OR = r. Point X divides OQ in the ratio 1:2 and Y divides OR in the...
(Solved)
In the figure below OQ = q and OR = r. Point X divides OQ in the ratio 1:2 and Y divides OR in the ratio 3:4. Lines XR and YQ
intersect at E.

(c) Using the results in (b) above, find the values of m and n.
Date posted:
April 29, 2019
.
Answers (1)
-
A salesman is paid a commission of 2% on goods worth over Ksh.100000. He is also paid a monthly salary of Ksh.12000. In a
certain month,...
(Solved)
A salesman is paid a commission of 2% on goods worth over Ksh.100000. He is also paid a monthly salary of Ksh.12000. In a
certain month, he sold 360 pairs of shoes at Ksh.500 each pair.
(a) Calculate the salesman’s earning that month.
(b) The following month, his monthly salary was increased by 10%. His total earnings that month were Ksh.17600. Calculate
(i) The total amount of money received from the sales of the shoes that month.
(ii) The number of pairs of shoes sold that month.
Date posted:
April 29, 2019
.
Answers (1)
-
Find the inequalities that define the region R shown in the figure below.
(Solved)
Find the inequalities that define the region R shown in the figure below.

Date posted:
April 26, 2019
.
Answers (1)
-
Two similar cylinders have diameter of 7cm and 21cm. If the larger cylinder has a volume of 6237cm³. Find the heights of the two
cylinders.
(Solved)
Two similar cylinders have diameter of 7cm and 21cm. If the larger cylinder has a volume of 6237cm³. Find the heights of the two
cylinders.
Date posted:
April 26, 2019
.
Answers (1)
-
Ruto is 2.5 times as old as his son. Five years ago, the ratio of their ages was 8:3. What will be their ages 6...
(Solved)
Ruto is 2.5 times as old as his son. Five years ago, the ratio of their ages was 8:3. What will be their ages 6 years from now?
Date posted:
April 26, 2019
.
Answers (1)
-
Thirty two men working at the rate of 9hrs a day can complete a piece of work in 7 days. How many more men working...
(Solved)
Thirty two men working at the rate of 9hrs a day can complete a piece of work in 7 days. How many more men working at the rate
of 8hrs a day would complete the same work in 6 days?
Date posted:
April 26, 2019
.
Answers (1)
-
A solid metal cuboid 1.5m long, 0.4m wide and 0.25m high is made of material of density 7.5g/cm³. Calculate its mass in kg.
(Solved)
A solid metal cuboid 1.5m long, 0.4m wide and 0.25m high is made of material of density 7.5g/cm³. Calculate its mass in kg.
Date posted:
April 26, 2019
.
Answers (1)
-
The interior angle of a regular polygon is 6.5 times the exterior angle. How many sides has the polygon.
(Solved)
The interior angle of a regular polygon is 6.5 times the exterior angle. How many sides has the polygon.
Date posted:
April 26, 2019
.
Answers (1)
-
Find the equation of a line passing through (2, 1) and perpendicular to the line which makes an angle of 45º with the X-axis.
(Solved)
Find the equation of a line passing through (2, 1) and perpendicular to the line which makes an angle of 45º with the X-axis.
Date posted:
April 26, 2019
.
Answers (1)
-
The thirteen term of an arithmetic progression is 27. Given that the seventh term equals to three times the second
term, find
(Solved)
The thirteen term of an arithmetic progression is 27. Given that the seventh term equals to three times the second
term, find
(a) The first term and the common difference of the progression.
(b) The sum of the first three even numbered terms of the progression.
(c) It’s given that (b-9/4), b and (b + 3.375) are the 2nd,3rd, and 4th terms of a geometric progression. Determine the value of b.
Date posted:
April 26, 2019
.
Answers (1)
-
A and B are two points on the latitude 400N. The two points lie on the longitude 200W and 1000E respectively.
(Solved)
A and B are two points on the latitude 400N. The two points lie on the longitude 200W and 1000E respectively.
(a) Calculate:-
(i) The distance from A to B along a parallel of latitude.
(ii) The shortest distance from A to B along a great circle.
(b) Two planes P and Q left A for B at 400 knots and 600 knots respectively. If P flew along the great circle and Q along
parallel latitude, which one arrived earlier and by how long. Give your answer to the nearest minute. (Take R =6370 km and 𝜋 =22/7)
Date posted:
April 26, 2019
.
Answers (1)
-
The figure below shows a frustum ABCDEFGH of a right pyramid such that AB = 9cm, BC = 12cm, FG = 6cm GH = 8cm
and...
(Solved)
The figure below shows a frustum ABCDEFGH of a right pyramid such that AB = 9cm, BC = 12cm, FG = 6cm GH = 8cm
and the height of the frustum is 10cm.

Find the
(a) Height of pyramid
(b) Length of
(i) AC
(ii) AH
(c) Calculate the angle between:
(i) Line AH and the plane ABCD
(ii) The planes ABHE and ABCD
Date posted:
April 26, 2019
.
Answers (1)
-
The top of a table is regular pentagon. Each side of the pentagon measures 40.0cm. Find the maximum percentage
error in calculating the perimeter of the...
(Solved)
The top of a table is regular pentagon. Each side of the pentagon measures 40.0cm. Find the maximum percentage
error in calculating the perimeter of the top of the table.
Date posted:
April 26, 2019
.
Answers (1)
-
By completing the square, solve for x in the equation 2x2 – 6 = x
(Solved)
By completing the square, solve for x in the equation 2x2 – 6 = x
Date posted:
April 26, 2019
.
Answers (1)
-
The resistance to the motion of a car is partly constant and partly varies as the square of the speed. At 40km/h the resistance is...
(Solved)
The resistance to the motion of a car is partly constant and partly varies as the square of the speed. At 40km/h the resistance is 530 and at 60km/h it is 730N. What will be the resistance at 70km/h
Date posted:
April 26, 2019
.
Answers (1)
-
OA = 3i + 4j – 6k and OB = 2i + 3j + k are two position vectors. P divides a line AB in...
(Solved)
OA = 3i + 4j – 6k and OB = 2i + 3j + k are two position vectors. P divides a line AB in the ratio 3:-2. Write down the
coordinates of P.
Date posted:
April 26, 2019
.
Answers (1)
-
The cost of maize floor and millet flour is KSh. 40 and KShs. 52 respectively. Calculate the ratio in which they were mixed if a...
(Solved)
The cost of maize floor and millet flour is KSh. 40 and KShs. 52 respectively. Calculate the ratio in which they were mixed if a profit of 15% was made by selling the mixture at 52.90 per kilogram.
Date posted:
April 26, 2019
.
Answers (1)
-
A bus moving at a speed of 80km/h is being overtaken by a car moving at 100km/h in a clear section of a road. Given
that...
(Solved)
A bus moving at a speed of 80km/h is being overtaken by a car moving at 100km/h in a clear section of a road. Given
that the bus is 21m long and the car is 4m long.
(a) How much time (in seconds) will elapse before the car can completely overtake the bus?
(b) How much distance (in metres) will the car travel before it can completely overtake the bus?
(c) Given that as soon as the car completed overtaking the trailer, a bus heading towards the trailer and the car and
moving at a speed of 90km/h became visible to the car driver. It took exactly 18 seconds for the car and the bus to
completely by pass each other from the moment they first saw each other.
(i) How far was the tail of the bus from tail of the car at the instance they first saw each other giventhat the bus is 12 metres long?
(ii) How far a part was the trailer and the bus just immediately after the car and the bus had passed each other?
Date posted:
April 26, 2019
.
Answers (1)
-
In the figure below, O is the centre of the circle. PQ is a tangent to the circle at N. Angle NCD is 100 and...
(Solved)
In the figure below, O is the centre of the circle. PQ is a tangent to the circle at N. Angle NCD is 100 and angle ANP is 300.

Giving reasons;
(i) Angle DON
(ii) Angle DNQ
(iii) Angle DBA
(iv) Angle ONA
(v) Angle ODN
Date posted:
April 26, 2019
.
Answers (1)
-
A solid is made up of a conical frustum and a hemispherical top. The slant height of the frustum is 8cm and its base radius...
(Solved)
A solid is made up of a conical frustum and a hemispherical top. The slant height of the frustum is 8cm and its base radius is 4.2cm. If the radius of the hemispherical top is 3.5cm.
(a) Find the area of:
(i) the circular base.
(ii) the curved surface of the frustum
(iii) the hemispherical surface
(b) A similar solid has a total surface area of 81.51cm2. Determine the radius of its base.
Date posted:
April 26, 2019
.
Answers (1)