-
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)
-
(a) A rectangular tank of base 2.4m by 2.8m and a height of 3m contains 3600 litres of water initially.Water flows into the tank at...
(Solved)
(a) A rectangular tank of base 2.4m by 2.8m and a height of 3m contains 3600 litres of water initially.Water flows into the tank at the rate of 0.5 litres per second. Calculate:
(i) The amount needed to fill the tank
(ii) The time in hours and minutes required to fill
(b) Pipe A can fill an empty tank in 3 hours while pipe B can fill the same tank in 6 hours. When the
tank is full, it can be emptied by pipe C in 8 hours. Pipes A and B are opened at the same time when the tank is
empty. If one hour later pipe C is also opened, find the total time taken to fill the tank.
Date posted:
April 26, 2019
.
Answers (1)
-
Three warships A, B and C are at sea such that ship B is 500km on a bearing N300E from ship A. Ship C is...
(Solved)
Three warships A, B and C are at sea such that ship B is 500km on a bearing N300E from ship A. Ship C is 700km from
ship B on a bearing of 1200. An enemy ship D is sighted 800km due south of ship B.
(a) Taking a scale of 1cm to represent 100km, locate the positions of ships A,B, C and D. (4 Marks)
(b) Find the bearing of:
(i) Ship A from D
(ii) Ship D from C
(c) Use scale drawing to determine the distance between
(i) D and A
(ii) C and D
(d) Measure angle DAC and angle BCD
Date posted:
April 26, 2019
.
Answers (1)
-
The G.C.D. and L.C.M of three numbers are 3 and 1008 respectively. If two of the numbers are 48 and 72, find the least
possible value...
(Solved)
The G.C.D. and L.C.M of three numbers are 3 and 1008 respectively. If two of the numbers are 48 and 72, find the least
possible value of the third number.
Date posted:
April 26, 2019
.
Answers (1)
-
A woman walks directly from point A towards the foot of a tall building 240m away. After covering 180m, he observes
that the angle of elevation...
(Solved)
A woman walks directly from point A towards the foot of a tall building 240m away. After covering 180m, he observes
that the angle of elevation of the top of the building is 450. Determine the angle of elevation of the top of the building
from A.
Date posted:
April 26, 2019
.
Answers (1)
-
ABCD is a rhombus. A is the point(2,1) and C is the point (4,7). Find the equation of the diagonal BD in the form ax...
(Solved)
ABCD is a rhombus. A is the point(2,1) and C is the point (4,7). Find the equation of the diagonal BD in the form ax + by = c
Date posted:
April 26, 2019
.
Answers (1)
-
A two digit number is such that the one’s digit is four more than the tens digit, and the sum of the digits is 14....
(Solved)
A two digit number is such that the one’s digit is four more than the tens digit, and the sum of the digits is 14. Find the
number.
Date posted:
April 26, 2019
.
Answers (1)
-
All prime numbers less than ten are arranged in ascending order to form a number.
(Solved)
All prime numbers less than ten are arranged in ascending order to form a number.
(a) Write down the number formed.
(b) Express the number in (a) above in expanded form.
Date posted:
April 26, 2019
.
Answers (1)