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- Pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Pipe C can empty the full tank in 40 minutes.
Starting...(Solved)
Pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Pipe C can empty the full tank in 40 minutes.
Starting with an empty tank, calculate the length of time it will take to fill the tank when;
(a) All the three pipes are turned on at the same time.
(b) All the three pipes are turned on at the same time then pipe B is closed after 10 minutes.
Date posted: May 2, 2019. Answers (1)
- The curved surface area of a cylindrical container is 1980cm2. If the radius of the container is 21cm, calculate to one
decimal place the capacity of...(Solved)
The curved surface area of a cylindrical container is 1980cm2. If the radius of the container is 21cm, calculate to one
decimal place the capacity of the container in litres. (Take 𝜋 =22/7)
Date posted: May 2, 2019. Answers (1)
- Three quantities A, B and C are such that A varies directly as the square of B and inversely as the cube root of C.(Solved)
Three quantities A, B and C are such that A varies directly as the square of B and inversely as the cube root of C.
(a) Given that A = 20 when B = 5 and C = 27. Write the equation connecting A, B and C.
(b) Find the value of A when B = 7 and C = 125.
Date posted: May 2, 2019. Answers (1)
- Given that theta is an acute angle and,(Solved)
Given that theta is an acute angle and,
without using mathematical tables or calculator find tan (900 - theta), leaveyour answer in surd form.
Date posted: May 2, 2019. Answers (1)
- Determine the inverse of the matrix T,Give that(Solved)
Determine the inverse of the matrix T,Given that
Hence find the coordinates of the point at which the two lines x + 2y = 7 and x – 2y = -1 intersect.
Date posted: May 2, 2019. Answers (1)
- Use square roots, reciprocals and square tables to evaluate to 4 significant figures the expressions:(Solved)
Use square roots, reciprocals and square tables to evaluate to 4 significant figures the expressions:
Date posted: May 2, 2019. Answers (1)
- Without using log tables or calculator; simplify(Solved)
Without using log tables or calculator; simplify
Date posted: May 2, 2019. Answers (1)
- The figure below represents an opened collar cloth, find the distance round it. (Take ?? =22/7)(Solved)
The figure below represents an opened collar cloth, find the distance round it. (Take 𝜋 =22/7)
Date posted: May 2, 2019. Answers (1)
- Simplify the following quadratic expression.(Solved)
Simplify the following quadratic expression.
Date posted: May 2, 2019. Answers (1)
- The figure below shows a right pyramid with square base of side 3cm and a slant edge of 5cm. Draw its net.(Solved)
The figure below shows a right pyramid with square base of side 3cm and a slant edge of 5cm. Draw its net.
Date posted: May 2, 2019. Answers (1)
- The diagonal of a rectangular garden measures 11.25m while its width measures 6.75m.Calculate the perimeter of the garden.(Solved)
The diagonal of a rectangular garden measures 11.25m while its width measures 6.75m.Calculate the perimeter of the garden.
Date posted: May 2, 2019. Answers (1)
- Without using mathematical table or calculator, evaluate:(Solved)
Without using mathematical table or calculator, evaluate:
Date posted: May 2, 2019. Answers (1)
- In the diagram below OX = x and OY = y, M and N are points on OY and XY respectively where OM =1/3 OY...(Solved)
In the diagram below OX = x and OY = y, M and N are points on OY and XY respectively where OM =1/3 OY and XN =2/5 XY. Lines XM and ON interest at P such that OP =5/9 ON.
(a) Express in terms of vector x and y.
(i) XY
(ii) ON
(iii) XM
(b) Express XP and PM in terms of x and y
(c) State the ratio XP:PM
Date posted: April 30, 2019. Answers (1)
- A taxi businessman borrows Sh. 650,000.00 from a bank to buy a taxi valued at the same amount.The bank charges interest at 24% p.a. compounded...(Solved)
A taxi businessman borrows Sh. 650,000.00 from a bank to buy a taxi valued at the same amount.The bank charges interest at 24% p.a. compounded quarterly. Calculate the compound interest paid to the bank after 1½ years rounded to the nearest shilling.
Date posted: April 30, 2019. Answers (1)
- In a certain year income tax was charged at the rates shown below.(Solved)
In a certain year income tax was charged at the rates shown below.
Mrs. Munene earns a basic salary of KSh. 15000.00, a house allowance of KSh. 8,000.00 and a commuter allowance of
KSh. 2,000.00 per month. She pays a health insurance scheme at Sh. 320 per month and she is entitled to a personal
relief of Sh. 1156.00 per month.
Determine
(i) Her annual taxable income in K£
(ii) The income tax she pays per year after relief.
Date posted: April 30, 2019. Answers (1)
- Weather records indicate that the probability of rain falling in Chuka town in March, July and September are 9/10,4/10 and 1/20
respectively. Calculate the probability that...(Solved)
Weather records indicate that the probability of rain falling in Chuka town in March, July and September are 9/10,4/10 and 1/20
respectively. Calculate the probability that in a certain year:
(i) There will no rain in March, July and Sepemmber.
(ii) There will be rain in March, July and September.
(iii) There will be rain in at least 2 of the 3 months i.e. March, July and September.
(iv) There will be rain in at most 2 of the 3 months i.e. March, July and September.
Date posted: April 30, 2019. Answers (1)
- A colony of bees was found to have 100 bees at the beginning. Thereafter, the number doubled every two days. How many bees will be...(Solved)
A colony of bees was found to have 100 bees at the beginning. Thereafter, the number doubled every
two days. How many bees will be in the colony after 14 days?
Date posted: April 30, 2019. Answers (1)
- The nth term of a series is given by 6 – 4n.(Solved)
The nth term of a series is given by 6 – 4n.
(i) Write down the first four terms of the series.
(ii) Find the sum of the first 16 terms of the series.
(iii) Find the 25th term.
Date posted: April 30, 2019. Answers (1)
- Give that a = 6i, b = 5i – 3j and c = 3i + j, find scalars h and k such that ha +...(Solved)
Give that a = 6i, b = 5i – 3j and c = 3i + j, find scalars h and k such that ha + kb = c
Date posted: April 30, 2019. Answers (1)
- Jane bought five Physics books and six Mathematics books for a total of Sh. 2440. Her friend Gakii bought two Physics
books and three Mathematics books...(Solved)
Jane bought five Physics books and six Mathematics books for a total of Sh. 2440. Her friend Gakii bought two Physics
books and three Mathematics books more than Jane and spent Sh. 3560.00.
Calculate the cost of each Mathematics book.
Date posted: April 30, 2019. Answers (1)