- The figure below shows the outline of the land owned by Rera – Yala community sugarcane Farm drawn to scale.(Solved)
The figure below shows the outline of the land owned by Rera – Yala community sugarcane Farm drawn to scale.
(a) Given that AF = 600m, determine the scale used.
(b) By showing all your workings enter the details of the farm in a survey field book.
(c) Given that this land is currently valued at KSh. 250,000 per hectare, calculate its value.
Date posted: May 2, 2019. Answers (1)
- Four schools: Lihanda, Kagilo, Bar-Sauri and Ndori are such that Lihanda is 16km from Kagilo on a bearing of 1580,
Bar-Sauri is to the west of...(Solved)
Four schools: Lihanda, Kagilo, Bar-Sauri and Ndori are such that Lihanda is 16km from Kagilo on a bearing of 1580,
Bar-Sauri is to the west of Kagilo and 20km away while Ndori is to the South of Bar-Sauri on a bearing of 2400 from
Lihanda.
(a) Using a scale of 1:400,000 draw a scale diagram showing the relative positions of the four schools.
(b) Using your diagram determine the distance and bearing of Ndori from Kagilo.
(c) A mast is to be erected so that it is equidistant from Kagilo and Bar-Sauri and 20km from Ndori. On the same diagram show the position of the mast and find its distance from Lihanda.
Date posted: May 2, 2019. Answers (1)
- Find the quartile Deviation for the data below.
24,32,29,11,21,22,15,18(Solved)
Find the quartile Deviation for the data below.
24,32,29,11,21,22,15,18
Date posted: May 2, 2019. Answers (1)
- Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh.30,000. In...(Solved)
Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh.30,000. In the month of February she sold goods worth KSh. 300,000 at a discount of 6%. Calculate her total earning that month.
Date posted: May 2, 2019. Answers (1)
- 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)