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- The diagram below shows a solid made of a hemisphere and a cylinder. The radius of both the cylinder and the hemisphere is 3cm. The...(Solved)
The diagram below shows a solid made of a hemisphere and a cylinder. The radius of both the cylinder and the hemisphere is 3cm. The length of the cylinder is 12cm.
a) i) Calculate the volume of the solid.
ii) The solid fits in a box in the shape of a cuboid 15 cm by 6cm by 6cm. Calculate the volume of the box not occupied by the solid correct to four significant figures.
b) i) Calculate the total surface area of the solid correct to four significant figures.
ii) The surface of the solid is to be painted. One millilitre of paint covers an area of 8cm2. The cost of paint is Ksh 900 per litre. Calculate the cost of the paint required.
Date posted: November 18, 2019. Answers (1)
- The figure below shows triangle T with vertices P(2,4), Q(6,2) and R(4,8). It is mapped onto triangle T/ with vertices P/(10,0), Q/(8,-4) and R/(14, -2)...(Solved)
The figure below shows triangle T with vertices P(2,4), Q(6,2) and R(4,8). It is mapped onto triangle T/ with vertices P/(10,0), Q/(8,-4) and R/(14, -2) by a rotation.
Draw on the same axis T/ the image of triangle T.
Date posted: November 18, 2019. Answers (1)
- The figure below is not drawn to scale.
Find correct to 1 decimal place;
(a) Length PQ.
(b) Angle ABC(Solved)
The figure below is not drawn to scale.
Find correct to 1 decimal place;
(a) Length PQ.
(b) Angle ABC
Date posted: November 18, 2019. Answers (1)
- Line K whose equation is 2y - 6 = 4x is perpendicular to another line Q. Find the equation of line Q if it passes...(Solved)
Line K whose equation is 2y - 6 = 4x is perpendicular to another line Q. Find the equation of line Q if it passes through point. (-2,7).
Date posted: November 18, 2019. Answers (1)
- Using trapezoid rule, estimate the area under the curve y = 1/2x2 - 2 bounded by lines, x =2 and x=8 and x –axis use...(Solved)
Using trapezoid rule, estimate the area under the curve y = 1/2x2 - 2 bounded by lines, x =2 and x=8 and x –axis use six strips.
Date posted: November 18, 2019. Answers (1)
- The sum of interior angles of a polygon is 19800. Find the number of sides of the polygon and name the polygon.(Solved)
The sum of interior angles of a polygon is 19800. Find the number of sides of the polygon and name the polygon.
Date posted: November 18, 2019. Answers (1)
- Find the value of t in the equation(Solved)
Find the value of t in the equation 
Date posted: November 18, 2019. Answers (1)
- In a mixed school there are 900 students, out of these 600 are girls.
(a) Find the ratio of boys to girls.
(b) What is the...(Solved)
In a mixed school there are 900 students, out of these 600 are girls.
(a) Find the ratio of boys to girls.
(b) What is the percentage of boys in this school?
Date posted: November 18, 2019. Answers (1)
- During an annual general meeting at Elimu Mixed Day, goats and chicken were slaughtered. The number of heads for both chicken and goats were 45....(Solved)
During an annual general meeting at Elimu Mixed Day, goats and chicken were slaughtered. The number of heads for both chicken and goats were 45. The total number of legs were 100. Determine the exact number of goats and chicken slaughtered.
Date posted: November 18, 2019. Answers (1)
- The diagram below represents a prism whose Cross-section is a right angled triangle. Draw the net of the solid.(Solved)
The diagram below represents a prism whose Cross-section is a right angled triangle. Draw the net of the solid.
Date posted: November 18, 2019. Answers (1)
- Simplify the equation(Solved)
Simplify the equation 
Date posted: November 18, 2019. Answers (1)
- Evaluate the value of x in 81x+1 + 34x = 246(Solved)
Evaluate the value of x in 81𝑥+1 + 34𝑥 = 246
Date posted: November 18, 2019. Answers (1)
- A 890kg culvert is made of a hollow cylindrical material with outer radius of 76cm and an inner radius of 62cm. It crosses a road...(Solved)
A 890kg culvert is made of a hollow cylindrical material with outer radius of 76cm and an inner radius of 62cm. It crosses a road of width 3m. Determine the density of the material used in its construction in Kg/m3 correct to one decimal place.
Date posted: November 18, 2019. Answers (1)
- Using logarithm table evaluate(Solved)
Using logarithm table evaluate 
Date posted: November 18, 2019. Answers (1)
- When a certain number is divided by 48, 72 or 100 the remainder is 3 in each case. Find the number.(Solved)
When a certain number is divided by 48, 72 or 100 the remainder is 3 in each case. Find the number.
Date posted: November 18, 2019. Answers (1)
- Evaluate without using tables or a calculator the value of(Solved)
Evaluate without using tables or a calculator the value of
Date posted: November 18, 2019. Answers (1)
- There are 2 bags A and B. Bag A has 4 white balls and 6 red balls. Bag B has 2 white balls and 3...(Solved)
There are 2 bags A and B. Bag A has 4 white balls and 6 red balls. Bag B has 2 white balls and 3 red balls. Each bag has an equal chance of being picked. If a bag is selected randomly and 2 balls picked with replacement in bag A and without replacement in bag B. Find the probability that:
(a) They are both white
(b) They are of different colours
(c) At least one ball is red.
(d) None of the balls is white.
Date posted: November 18, 2019. Answers (1)
- The table below shows a monthly income tax rate for the year 2005
Peters monthly earning in 2005 were as follows:
Basic salary Ksh35,600, house allowance Kshs12,000,...(Solved)
The table below shows a monthly income tax rate for the year 2005
Peters monthly earning in 2005 were as follows:
Basic salary Ksh35,600, house allowance Kshs12,000, Medical allowance Kshs2,800, transport
allowance Kshs3,400, Peter was entitled to monthly tax relief of Kshs1,056.
Calculate:
(a) His monthly taxable income
(b) The monthly tax paid by Peter.
(c) In addition to tax the following deductions were made to Peters monthly income
- Service charge of Ksh100
- Health insurance fund 320
2% of his basic salary as widow and child pension . Calculate Peters net pay that month.
Date posted: November 18, 2019. Answers (1)
- Kamau bought a brand new motorbike for sh75000. Its depreciation rate is estimated at 12% per annum of its value at the beginning of each...(Solved)
Kamau bought a brand new motorbike for sh75000. Its depreciation rate is estimated at 12% per annum of its value at the beginning of each of the first two years and 10% per annum thereafter. What will be the value of the motorbike at the end of five years.
Date posted: November 18, 2019. Answers (1)
- Evaluate(Solved)
Evaluate 
Date posted: November 18, 2019. Answers (1)