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The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of
the original cone.
(Solved)
The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of
the original cone. The frustrum represents a bucket with the open-end diameter of 28cm and the bottom diameter of 21cm. The bucket is 20cm deep. Calculate to 1 decimal place, the capacity of the bucket in litres.
Date posted:
September 3, 2019
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Answers (1)
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The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere.
(Solved)
(a)The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere. The height h of the cone is twice the radius r. if the volume of the solid is 36cm3, find the radius of the hemisphere.
(b) The solid is totally immersed in water contained in a cylindrical tin of radius 9cm. through what height does the water level in the tin rise.
(c) The solid is melted and recast into a right pyramid of vertical height 4.2cm. Find the base area of the pyramid.
(d) If the solid is of mass 14.4g. Find its density in kg/m3.
Date posted:
September 3, 2019
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Answers (1)
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Five towns A,B,C,D and E are such that B is on a bearing of 040o and 6km from E.
(Solved)
Five towns A,B,C,D and E are such that B is on a bearing of 040o and 6km from E. D is due west of E on a bearing of 340o from E. A is due North of E on a bearing of 045o from D. C is on a bearing of 250o from B and due North of E.
(a) Make a scale drawing showing the positions of the five towns.(Use a scale of 1cm to represent 1km)
(b) Use your drawing to determine;
(i) the bearing and distance of B from A.
(ii) the bearing and distance of C from D.
(iii) the distance between A and E.
Date posted:
September 3, 2019
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Answers (1)
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A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk.
(Solved)
A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. If he
sold the mixture at Ksh.18 per litre, what was the percentage profit.
Date posted:
September 3, 2019
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Answers (1)
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Find the percentage error in the perimeter of a regular polygon whose side is 15.0cm.
(Solved)
Find the percentage error in the perimeter of a regular polygon whose side is 15.0cm.
Date posted:
September 3, 2019
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Answers (1)
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The table below shows monthly income tax rates.
(Solved)
The table below shows monthly income tax rates.
Mrs. Wanjala earns a monthly salary of Ksh.15,000 and a taxable travel allowance of Ksh. 5,000 per month. She is also provided with a house by the institution for which she pays a nominal rent of Ksh.1000 per month.
(a) Calculate the employees taxable income every month.
(b) Calculate the employees monthly total tax payable
(c) If the employee is entitled to a personal relief of Ksh.900 per month and a non taxable medical
allowance of Ksh.2,000. Calculate her net monthly income.
Date posted:
September 2, 2019
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Answers (1)
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A solid is partly a cone and partly a hemisphere. The radius of the hemisphere is 5cm.
(Solved)
A solid is partly a cone and partly a hemisphere. The radius of the hemisphere is 5cm. the height of the solid is 17cm. Determine:
(a) The volume of the cone.
(b) The volume of the hemispherical part.
(c) The volume of the solid.
(d) The curved surface area of the cone.
(e) The curved surface area of the hemisphere.
(f) The total surface area of the solid.
Date posted:
September 2, 2019
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Answers (1)
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The diagram below shows a histogram representing marks obtained in a certain test.
(Solved)
The diagram below shows a histogram representing marks obtained in a certain test. Develop a frequency distribution table.
Date posted:
September 2, 2019
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Answers (1)
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The figure below is a cut out net of a wedge. Find its volume.
(Solved)
The figure below is a cut out net of a wedge. Find its volume.
Date posted:
September 2, 2019
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Answers (1)
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Two beakers of exactly similar shape can hold 250ml and 200ml of liquid respectively. If the surface area of the larger beaker is 400cm2, calculate...
(Solved)
Two beakers of exactly similar shape can hold 250ml and 200ml of liquid respectively. If the surface area of the larger beaker is 400cm2, calculate the surface area of the smaller one.
Date posted:
September 2, 2019
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Answers (1)
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A straight line passing through the point (-3,4) is perpendicular to the line whose equation is 2y-3x=11 and intersects the x-axis and y-axis at points...
(Solved)
A straight line passing through the point (-3,4) is perpendicular to the line whose equation is 2y-3x=11 and intersects the x-axis and y-axis at points P and Q respectively. Find P.
Date posted:
September 2, 2019
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Answers (1)
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A (50°S,20°E) and B(50°S,60°W) are two points on the earth’s surface. Calculate the distance between A and B in kilometer along the great circle. (take...
(Solved)
A (50°S,20°E) and B(50°S,60°W) are two points on the earth’s surface. Calculate the distance between A and B in kilometer along the great circle. (take radius of the earth to be 6370km).
Date posted:
August 30, 2019
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Answers (1)
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A contractor employs 40 men to do a piece of work in 60 days each man working 9 hours a day. He is then requested...
(Solved)
A contractor employs 40 men to do a piece of work in 60 days each man working 9 hours a day. He is then requested to do the job in 48days. How many more men working l0 hours a day does he need to employ.
Date posted:
August 30, 2019
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Answers (1)
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Make P the subject of the formula given.
(Solved)
Make P the subject of the formula given.
Date posted:
August 30, 2019
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Answers (1)
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The data below shows marks scored by 8 form four students in Ikutha district mathematics contest 44,32,67. 52, 28, 39, 46, 64.Calculate the mean absolute...
(Solved)
The data below shows marks scored by 8 form four students in Ikutha district mathematics contest 44,32,67. 52, 28, 39, 46, 64.Calculate the mean absolute deviation.
Date posted:
August 30, 2019
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Answers (1)
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Write in the simplest form using a rational denominator.
(Solved)
Write in the simplest form using a rational denominator.
Date posted:
August 30, 2019
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Answers (1)
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The diagram below not drawn to scale shows part of the curve y = x2 + 5 and the line y = 8 – 2x....
(Solved)
The diagram below not drawn to scale shows part of the curve y = x2 + 5 and the line y = 8 – 2x. The line intersects the curve at a point C and D. Lines AC and BD are parallel to the y-axis.
(a) Determine the coordinates of C and D
(b) Use integration to calculate the area bounded by the curve and x – axis between the points C and D.
(c) Calculate the area enclosed by the lines CD, CA, BD and the x-axis.
(d)Hence determine the area of the shaded region.
Date posted:
August 30, 2019
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Answers (1)
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A form four class at Kiptulwo secondary school has 15 girls and 25 boys. The probability of a girl completing the secondary school course is...
(Solved)
A form four class at Kiptulwo secondary school has 15 girls and 25 boys. The probability of a girl completing the secondary school course is 3/5 and that of a boy is 4/5.
(a) A student is picked at random from the class. Find the probability that;
(i)The student picked is a girl and will complete the course.
(ii) The student will not complete the course.
(b)Two students are picked at random from the class. Find the probability that;
(i) Both are girls
(ii)Both are of the same gender and will complete the course.
Date posted:
August 30, 2019
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Answers (1)
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The table below shows the number of defective bolts from a sample of 40.Calculate the standard deviation of the data above.
(Solved)
The table below shows the number of defective bolts from a sample of 40.Calculate the standard deviation of the data above.
Date posted:
August 30, 2019
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Answers (1)
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OAB is a sector of a circle centre O and radius 7cm. Arc AB subtends 250 at the center and C is a point on...
(Solved)
OAB is a sector of a circle centre O and radius 7cm. Arc AB subtends 250 at the center and C is a point on OB such that OCA is 900. Calculate the area of the shaded region
Date posted:
August 30, 2019
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Answers (1)