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A student took the measurements of his classroom and gave the width as 7m and the length as 9m.
If there is an error of 2%...
(Solved)
A student took the measurements of his classroom and gave the width as 7m and the length as 9m.
If there is an error of 2% in each measurement, determine the greatest value of x+ y/x
if x and y are the width and length of the classroom respectively.
Give your answer to 4 decimal places.
Date posted:
June 20, 2019
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Answers (1)
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The floor of a room is in the shape of a rectangle 10.5 m long by 6 m wide. Square tiles of
length 30 cm are...
(Solved)
The floor of a room is in the shape of a rectangle 10.5 m long by 6 m wide. Square tiles of
length 30 cm are to be fitted onto the floor.
(a) Calculate the number of tiles needed for the floor.
(b) A dealer wishes to buy enough tiles for fifteen such rooms. The tiles are packed in cartons
each containing 20 tiles. The cost of each carton is Kshs. 800. Calculate
(i) the total cost of the tiles.
(ii) If in addition, the dealer spends Kshs. 2,000 and Kshs. 600 on transport and subsistence
respectively, at what price should he sell each carton in order to make a profit of 12.5%
(Give your answer to the nearest Kshs.)
Date posted:
June 20, 2019
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Answers (1)
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The figure below is a circle of radius 5cm. Points A, B and C are the vertices of the triangle
ABC in which ABC = 60o...
(Solved)
The figure below is a circle of radius 5cm. Points A, B and C are the vertices of the triangle
ABC in which ABC = 60o and ACB=50o which is in the circle. Calculate the area of ABC
Date posted:
June 20, 2019
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Answers (1)
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A farmer decides to put two-thirds of his farm under crops. Of this, he put a quarter under
maize and four-fifths of the remainder under beans....
(Solved)
A farmer decides to put two-thirds of his farm under crops. Of this, he put a quarter under
maize and four-fifths of the remainder under beans. The rest is planted with carrots.
If 0.9acres are under carrots, find the total area of the farm
Date posted:
June 20, 2019
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Answers (1)
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The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares.
(Solved)
The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares.
Date posted:
June 20, 2019
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Answers (1)
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Calculate the area of the shaded region below, given that AC is an arc of a circle centre B. AB=BC=14cm CD=8cm and angle ABD =...
(Solved)
Calculate the area of the shaded region below, given that AC is an arc of a circle centre B. AB=BC=14cm CD=8cm and angle ABD = 750
Date posted:
June 20, 2019
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Answers (1)
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(a) Expand (1 – 3x)5
(b) use your expansion to estimate the value of (0.997) Correct to 4 d.p.
(Solved)
(a) Expand (1 – 3x)5
(b) use your expansion to estimate the value of (0.997) Correct to 4 d.p.
Date posted:
June 20, 2019
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Answers (1)
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Use the expansion of (x – 0.2)5 to find the exact value of 9.85
(Solved)
Use the expansion of (x – 0.2)5 to find the exact value of 9.85
Date posted:
June 20, 2019
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Answers (1)
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Solve for x in the equation;
log (x + 24) = 2 log 3 + log (9 – 2x).
(Solved)
Solve for x in the equation;
log (x + 24) = 2 log 3 + log (9 – 2x).
Date posted:
June 20, 2019
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Answers (1)
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a) Using binomial expansion, determine the first five terms of the expansion: (2-1/x)8
b) Use the expansion above to evaluate (1.75)8
(Solved)
a) Using binomial expansion, determine the first five terms of the expansion: (2-1/x)8
b) Use the expansion above to evaluate (1.75)8
Date posted:
June 20, 2019
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Answers (1)
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The figure O and P are centres of two intersecting circles. ABE is tangent to circle BCD
at B angle BCD is 42o
(a) Giving reasons for...
(Solved)
The figure O and P are centres of two intersecting circles. ABE is tangent to circle BCD
at B angle BCD is 42o
(a) Giving reasons for your answer, find:-
(i) CBD
(ii) DOB
(iii) DAB
(iv) CDA
b) Show that ADB is isosceles
Date posted:
June 20, 2019
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Answers (1)
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The figure below shows two intersecting circles radii 8 cm and 6 cm respectively.
The common chord AB = 9cm ad P and Q are the...
(Solved)
The figure below shows two intersecting circles radii 8 cm and 6 cm respectively.
The common chord AB = 9cm ad P and Q are the centres as shown:
(a) Calculate the size of angles:-
(i) APB
(ii) AQB
(b) Calculate the area of the shaded region
Date posted:
June 19, 2019
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Answers (1)
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In the figure below ABC is a tangent to the circle at B. given that
(Solved)
In the figure below ABC is a tangent to the circle at B. given that 
Find the sizes of the following angles giving reasons in each case:
a)BDG
b)DGE
c)EFG
d)CBD
e)BCD
Date posted:
June 19, 2019
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Answers (1)
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The figure below shows a circle centre O. AB and PQ are chords intersecting externally
at a point C. AB = 9cm, PQ = 5cm and...
(Solved)
The figure below shows a circle centre O. AB and PQ are chords intersecting externally
at a point C. AB = 9cm, PQ = 5cm and QC = 4cm. Find the value of x
Date posted:
June 19, 2019
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Answers (1)
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Two pipes A and B can fill a tank in 3hrs and 4 hrs respectively. Pipe C can empty the full tank
in 6 hrs.
i) How...
(Solved)
Two pipes A and B can fill a tank in 3hrs and 4 hrs respectively. Pipe C can empty the full tank
in 6 hrs.
i) How long would it take pipes A and B to fill the tank if pipe C is closed?
ii) Starting with an empty tank, how long would it take to fill the tank with all pipes running?
Date posted:
June 19, 2019
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Answers (1)
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The figure below shows two pulleys of radii 6cm and 4cm with centres A and B respectively.
AB = 8cm. The pulleys are connected by a...
(Solved)
The figure below shows two pulleys of radii 6cm and 4cm with centres A and B respectively.
AB = 8cm. The pulleys are connected by a string PQXRSY
Calculate:
(a) Length PQ
(b) PAS reflex
(c) Length of arc PYS and QXR
(d) The total length of the string PQXRSY
Date posted:
June 19, 2019
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Answers (1)
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In the figure below angle BAC =52o, angle ACB = 40o and AD = DC. The radius of
the circle is 7cm. EF is a tangent...
(Solved)
In the figure below angle BAC =52o, angle ACB = 40o and AD = DC. The radius of
the circle is 7cm. EF is a tangent to the circle
(a) Find; giving reasons
(i) angle DCF
(ii) angle AOB (obtuse)
(b) Calculate the area of the shaded segment AGB
Date posted:
June 19, 2019
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Answers (1)
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The figure below shows two circles centres A and B and radii 6 cm and 8 cm respectively. The
circles intersect at P and Q. Angle...
(Solved)
The figure below shows two circles centres A and B and radii 6 cm and 8 cm respectively. The
circles intersect at P and Q. Angle PAB = 420 and angle ABQ = 300.
(a) Find the size of ∠PAQ and PBQ.
(b) Calculate, to one decimal place the area of:
(i) Sector APQ and PBQ.
(ii) Triangle APQ and PBQ.
(iii) The shaded area (take π 22)
Date posted:
June 19, 2019
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Answers (1)
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A customer deposited Ksh.15,500 in a savings account. Find the accumulated amount
after 3½ years if interest was paid at 16% per annum compounded semi-annually
(Solved)
A customer deposited Ksh.15,500 in a savings account. Find the accumulated amount
after 3½ years if interest was paid at 16% per annum compounded semi-annually
Date posted:
June 19, 2019
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Answers (1)
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The table below shows the annual income tax rates for a certain year.
Kiptoo earns a monthly salary of Kshs.25000. He is entitled to house and...
(Solved)
The table below shows the annual income tax rates for a certain year.
Kiptoo earns a monthly salary of Kshs.25000. He is entitled to house and medical allowances
of Kshs.12000 and Kshs.3000 respectively
Calculate:
(a) His taxable income per month
(b) His monthly tax payable
(c)His annual tax payable
Date posted:
June 19, 2019
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Answers (1)