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The diagram below shows a triangle OPQ in which QN:NP = 1:2, OT:TN = 3:2 and M is the midpoint of OQ.
(Solved)
The diagram below shows a triangle OPQ in which QN:NP = 1:2, OT:TN = 3:2 and M is the midpoint of OQ.
(a) Given that OP = p and OQ = q. Express the following vectors in terms of p and q.
(i) PQ
(ii) ON
(iii) PT
(iv) PM
(b) (i) Show that points P, T and M are collinear.
(ii) Determine the ratio MT:TP
Date posted:
May 2, 2019
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Answers (1)
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The figure below shows a model of a pillar to be constructed at the Canterbury. The model consists of a circular base of
diameter and a...
(Solved)
The figure below shows a model of a pillar to be constructed at the Canterbury. The model consists of a circular base of
diameter and a uniform pentagon stand of side 6cm and height 20cm.
(a) Calculate the cross-sectional area of the pentagon to 2 decimal places.
(b) Calculate the total volume of the model to 2 dp.
(c) If the height of the real pillar is 52m and the constructor uses two bags of cement for every 500m3 of the
construction, calculate the least number of bags of cement required.
Date posted:
May 2, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Without using log tables or calculator; simplify
(Solved)
Without using log tables or calculator; simplify
Date posted:
May 2, 2019
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Answers (1)
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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
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Answers (1)
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Simplify the following quadratic expression.
(Solved)
Simplify the following quadratic expression.
Date posted:
May 2, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Without using mathematical table or calculator, evaluate:
(Solved)
Without using mathematical table or calculator, evaluate:
Date posted:
May 2, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)