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- The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number....(Solved)
The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number. The height of the cylinder is exactly 14cm.
a)Determine the exact values for the internal and external radii which will give maximum volume of the material.
b)Calculate the maximum possible volume of the material
Date posted: October 12, 2019. Answers (1)
- The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two...(Solved)
The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two years and at 20% p.a thereafter. Find the number of years it will take for its value to reduce to ksh. 147,968.
Date posted: October 12, 2019. Answers (1)
- Solve for x in the equation.
(Solved)
Solve for x in the equation.
Date posted: October 12, 2019. Answers (1)
- Make C the subject of the formula.(Solved)
Make C the subject of the formula.
Date posted: October 12, 2019. Answers (1)
- A rectangle whose area is 15cm2 is transformed by a matrix .Determine the area of its image under the matrix of transformation.(Solved)
A rectangle whose area is 15cm2 is transformed by a matrix 
.Determine the area of its image under the matrix of transformation.
Date posted: October 12, 2019. Answers (1)
- If find the value of a + b + c.(Solved)
If 
find the value of a + b + c.
Date posted: October 12, 2019. Answers (1)
- The figure below shows a triangular prism ABCDEF
a)Draw the net of the prism
b)A fly walks from A to D along the diagonals of rectangular...(Solved)
The figure below shows a triangular prism ABCDEF
a)Draw the net of the prism
b)A fly walks from A to D along the diagonals of rectangular faces:
i)On your net show the locus of the fly.
ii)Measure the distance covered by the fly, one way.
iii)The fly takes 15 seconds to reach D one way. Calculate its’ speed in, km/h.
Date posted: October 12, 2019. Answers (1)
- The figure below shows a circle centre O and a cyclic quadrilateral ABCD. Angle ACB =400 and angle DAC =200 AOC is a straight line.
Giving...(Solved)
The figure below shows a circle centre O and a cyclic quadrilateral ABCD. Angle ACB =400 and angle DAC =200 AOC is a straight line.
Giving reasons find the size of:
i)ABD
ii)BAC
iii)ACD
iv)CBD
v)Reflex ADC
Date posted: October 12, 2019. Answers (1)
- a)Complete the table for the curve whose equation is given by y = (x + 1)(2x - 5)
b)Plot the graph of y = (x +...(Solved)
a)Complete the table for the curve whose equation is given by y = (x + 1)(2x - 5)
b)Plot the graph of y = (x + 1)(2x - 5) for -2 ≤ x ≤ 3.5
c)Use your graph to solve the equation
i)2x2 – 6x – 5 = 0
ii)2x2 – 6x – 2 = 0
Date posted: October 12, 2019. Answers (1)
- Four points P, Q, R and S lie on the same plane. Point P is 42km due south west of R. Q is 15km on...(Solved)
Four points P, Q, R and S lie on the same plane. Point P is 42km due south west of R. Q is 15km on a bearing of S60E from R. Point D is equidistant from P and Q.
a)Using a scale of 1cm represents 10km, construct a diagram showing the positions of P, Q, R and S
b)Using your diagram determine:
i)Distance between P and Q
ii)Bearing of S from P
iii)Distance from S to R
Date posted: October 12, 2019. Answers (1)
- A bus left Mombasa at 7.45 am towards Nairobi at an average speed of 60km/h. A saloon car left Mombasa at 9.15 am on the...(Solved)
A bus left Mombasa at 7.45 am towards Nairobi at an average speed of 60km/h. A saloon car left Mombasa at 9.15 am on the same day along the same road at an average of 120km/h. the distance between Mombasa and Nairobi is 360km.
a)Determine the time of day when the salon car overtook the bus.
b)Both vehicles contained towards Nairobi at their original speed. How long had the saloon car waited in Nairobi before the bus arrived.
Date posted: October 12, 2019. Answers (1)
- If x + y = p,
a)Express (x + y)2 + 3(x + 2y) – 4 = 0, interms of p
b)Solve the equation formed in...(Solved)
If x + y = p,
a)Express (x + y)2 + 3(x + 2y) – 4 = 0, interms of p
b)Solve the equation formed in a) above for p
c)Hence write down the two possible values of x + 2y
d)Given further that x – 2y = 4, find all possible values of x and y, as fractions where possible
Date posted: October 12, 2019. Answers (1)
- A tourist in Nakuru had 870 Euros, 629 pounds and some dollars. If on changing his money he had Ksh 0.18 million, how much dollars...(Solved)
A tourist in Nakuru had 870 Euros, 629 pounds and some dollars. If on changing his money he had Ksh 0.18 million, how much dollars did he have before changing his money, if he was charged a tax of 10%, when the exchange rates were:-
1 pound = Ksh 70, 1 dollar = Ksh 120 and 1 Euro = Ksh 106.
Give your answer to the nearest whole number.
Date posted: October 12, 2019. Answers (1)
- In the figure below, OP = p and OQ = q ,point K divides line PQ such that PK:KQ = 1:3
Find in terms of p...(Solved)
In the figure below, OP = p and OQ = q ,point K divides line PQ such that PK:KQ = 1:3
Find in terms of p and q
a) PQ
b) OK
Date posted: October 12, 2019. Answers (1)
- Giving reasons, find the value of y in the figure below. (Solved)
Giving reasons, find the value of y in the figure below.
Date posted: October 12, 2019. Answers (1)
- A line Q has the equation 5y – 2x + 3 = 0
a)Find the gradient of the line Q
b)Find the equation of the line...(Solved)
A line Q has the equation 5y – 2x + 3 = 0
a)Find the gradient of the line Q
b)Find the equation of the line R which is perpendicular to line Q, and passes through (5, - 2)
Date posted: October 12, 2019. Answers (1)
- If 2x + y = 16 and 42x-y = ¼, find y – x: 2y (Solved)
If 2x + y = 16 and 42x-y = ¼, find y – x: 2y
Date posted: October 11, 2019. Answers (1)
- Water and alcohol are mixed in the ratio 1:4. If the density of water and alcohol are 1g/cm3 and 0.8g/cm3 respectively. Find the density of...(Solved)
Water and alcohol are mixed in the ratio 1:4. If the density of water and alcohol are 1g/cm3 and 0.8g/cm3 respectively. Find the density of the mixture.
Date posted: October 11, 2019. Answers (1)
- The projection of a line onto a plane is two thirds the length of the line. Find the angle between the line and the plane....(Solved)
The projection of a line onto a plane is two thirds the length of the line. Find the angle between the line and the plane.
Date posted: October 11, 2019. Answers (1)
- Line AB is such that A(5, -2) and B(7, -4). The line is mapped onto A1(5, -12) and B1(3, -10), by an enlargement. Determine the...(Solved)
Line AB is such that A(5, -2) and B(7, -4). The line is mapped onto A1(5, -12) and B1(3, -10), by an enlargement. Determine the centre and scale factor of the enlargement. (Use the grid given)
Date posted: October 11, 2019. Answers (1)