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- The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter...(Solved)
The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter and has a mass of 48.5kg.
Calculate:
a)The total surface area of the dome.
b)The cost of painting the dome.
c)The volume of the material making the dome.
d)The density of the material in kg/m3 to 2 significant figures.
Date posted: October 30, 2019. Answers (1)
- The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST...(Solved)
The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST is a cyclic quadrilateral in which angle RTS = 350 and RT and QS are diameters. Giving reasons for your answer, find the size of:
a)Acute angle ROS.
b)Angle RQS.
c)Angle PQR.
d)Angle QPT.
e)Angle PQT.
Date posted: October 29, 2019. Answers (1)
- The table below shows a field book with measurements of a rice field. (AG = 250m)
a)Make a sketch drawing of the rice field.
b)Find the...(Solved)
The table below shows a field book with measurements of a rice field. (AG = 250m)
a)Make a sketch drawing of the rice field.
b)Find the area of the rice field in hectares.
Date posted: October 29, 2019. Answers (1)
- a) Draw the graph of 2x2 + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve...(Solved)
a) Draw the graph of 2x2 + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve the equation:
i) 2x2 + 3x – 6 = 0
ii) 2x2 + 3x – 3 = 0
c)Solve the equation 2x + x – 7 = 0 using the graph.
Date posted: October 29, 2019. Answers (1)
- Find the range of value of x which satisfy the inequality below:(Solved)
Find the range of value of x which satisfy the inequality below:
Date posted: October 29, 2019. Answers (1)
- A rectangle which measures 48cm by 27cm has the same area as a square. Find which figure has the greater perimeter and by how much.(Solved)
A rectangle which measures 48cm by 27cm has the same area as a square. Find which figure has the greater perimeter and by how much.
Date posted: October 29, 2019. Answers (1)
- Solve for x in the equation
(Solved)
Solve for x in the equation
Date posted: October 29, 2019. Answers (1)
- A number is formed by finding the difference between the products of prime numbers between 20 and 30 and that of prime numbers between 1...(Solved)
A number is formed by finding the difference between the products of prime numbers between 20 and 30 and that of prime numbers between 1 and 15. Find the number formed.
Write the number in words.
Date posted: October 29, 2019. Answers (1)
- A curve whose gradient function is 3x2 -3 has its two stationary points, one at point ( -1, 8) and the other at point (...(Solved)
A curve whose gradient function is 3x2 -3 has its two stationary points, one at point ( -1, 8) and the other at point ( 1, b). Find its equation and the value of b.
Date posted: October 29, 2019. Answers (1)
- Use mathematical tables to find:
i) The square of 4.978
ii) The reciprocal of 31.65(Solved)
Use mathematical tables to find:
i) The square of 4.978
ii) The reciprocal of 31.65
Date posted: October 29, 2019. Answers (1)
- Katuku is three years younger than Mueni. Mwikali is 5years younger than the sum of the ages of Katuku and Mueni. The sum of the...(Solved)
Katuku is three years younger than Mueni. Mwikali is 5years younger than the sum of the ages of Katuku and Mueni. The sum of the ages of the 3 girls is 41. Find the age of each girl.
Date posted: October 29, 2019. Answers (1)
- Given that x, y and z are integers and that 8 = x = 10,5 = y = 7,4 = z = 6
Find...(Solved)
Given that x, y and z are integers and that 8 ≤ x ≤ 10,5 ≤ y ≤ 7,4 ≤ z ≤ 6
Find the percentage error in 
Date posted: October 29, 2019. Answers (1)
- A solid metal sphere of radius 7.5cm is melted down and recast into a solid cylinder of height 15cm. In the process 4% of the...(Solved)
A solid metal sphere of radius 7.5cm is melted down and recast into a solid cylinder of height 15cm. In the process 4% of the metal is lost. Calculate:
a)In terms of π the volume of metal used to make the cylinder.
b)The radius of the cylinder
Date posted: October 29, 2019. Answers (1)
- Evaluate without using calculator:(Solved)
Evaluate without using calculator:
Date posted: October 29, 2019. Answers (1)
- Given that point A(-2, 4) B(3, 1) and C (13, -5), express AB and AC as column vectors and hence show that the point A,...(Solved)
Given that point A(-2, 4) B(3, 1) and C (13, -5), express AB and AC as column vectors and hence show that the point A, B and C are collinear.
Date posted: October 29, 2019. Answers (1)
- A bus driver travelled the first 130km at an average speed at 65km/h. For the next three hours he travelled at an average speed of...(Solved)
A bus driver travelled the first 130km at an average speed at 65km/h. For the next three hours he travelled at an average speed of 50km/h. Find the average speed of 50km/h.
Find the average speed for the whole journey.
Date posted: October 29, 2019. Answers (1)
- Mutua wants to erect a fence around his house using posts. Whenever he uses 5, 8 or 10 posts along one side, he is always...(Solved)
Mutua wants to erect a fence around his house using posts. Whenever he uses 5, 8 or 10 posts along one side, he is always left with 2 posts. Find the number of posts Mutua has for one side of the fence.
Date posted: October 29, 2019. Answers (1)
- Work out and give your answer in a simplified form.(Solved)
Work out and give your answer in a simplified form.
Date posted: October 29, 2019. Answers (1)
- Use the taxation rates table below to answer the questions that follow.
A civil servant is entitled to a monthly personal relief of Ksh. 3000 and...(Solved)
Use the taxation rates table below to answer the questions that follow.
A civil servant is entitled to a monthly personal relief of Ksh. 3000 and her tax (PAYE) is ksh. 9000 per month. She is deducted NHIF ksh. 350 per month. WCPS ksh. 800 and co-op shares ksh. 1200 per month. Calculate:
a)The civil servant’s total deduction per month.
b)Total tax per month.
c)The civil servant’s annual gross salary
d)The civil servant’s basic salary if her monthly house allowance and medical allowances are ksh.10000 and ksh. 2000 respectively.
Date posted: October 16, 2019. Answers (1)
- An electronics dealer in Wote town wishes to purchase radios and TV sets. He can buy at most 30 of both items. On average, a...(Solved)
An electronics dealer in Wote town wishes to purchase radios and TV sets. He can buy at most 30 of both items. On average, a radio and TV cost sh. 4000 and sh. 12000 respectively and he has sh. 240000 to spend. The number of TV sets should be at most twice the number of radios. He must buy more than 5 TV sets.
a)Form all inequalities to represent above information.
b)If the dealer makes a profit of sh.600 and sh.1000 per radio and TV set respectively, find the maximum possible profit.
Date posted: October 16, 2019. Answers (1)