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Mrs. Beth wants to buy a flat screen television set on hire purchase. The cash price is Kshs. 28,000. She can pay the cash price...
(Solved)
Mrs. Beth wants to buy a flat screen television set on hire purchase. The cash price is Kshs. 28,000. She can pay the cash price or make a down payment of Kshs. 8,000 and 15 monthly instalments of Kshs. 2,000 each. Calculate the rate of compound interest charged per month.
Date posted:
November 12, 2019
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Answers (1)
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Make r the subject in the formula:
(Solved)
Make r the subject in the formula:

Date posted:
November 12, 2019
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Answers (1)
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Use logarithm table to evaluate:
(Solved)
Use logarithm table to evaluate:

Date posted:
November 12, 2019
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Answers (1)
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Points A,B,C and D are situated on a horizontal plane such that B is 200m on a bearing of 065° from
A.C is 300m on a...
(Solved)
Points A,B,C and D are situated on a horizontal plane such that B is 200m on a bearing of 065° from
A.C is 300m on a bearing of 120° from B and D is 150m due west of C. Using 1cm to rep 50m,
(a) Draw an accurate scale drawing representing positions ABC and D.
(b) From your drawing, Measure the distance and bearing of
(i) D from A.
(ii) B from D
(c) By construction, show the shortest distance from B to line AD.
Date posted:
November 11, 2019
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Answers (1)
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The figure below shows a sector of a circle. If the radius OA = 14cm and the angle AOB =720.
(a) Calculate the area of the...
(Solved)
The figure below shows a sector of a circle. If the radius OA = 14cm and the angle AOB =720.

(a) Calculate the area of the sector.
(b) The sector is folded to form a cone. Calculate:-
(i) The radius of the cone formed.
(ii) The volume of the solid formed.
(c) A solid cone of same size in (b) above is melted down and casted into circular washers. Each washer
has an external diameter of 4cm, internal diameter of 1½ cm and 0.3cm thick. Calculate number of washers made.
Date posted:
November 11, 2019
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Answers (1)
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A group of choir members decided to raise 3600/= to buy a guitar. Each member was to contribute equal amount. In the preparation process five...
(Solved)
A group of choir members decided to raise 3600/= to buy a guitar. Each member was to contribute equal amount. In the preparation process five members transferred to another church, that meant the remaining contributors had to pay more to achieve the target.
(a) Show that the increase in the contribution per member was:
Sh. 18,000/n(n-5) if n is the initial number of members.
(b) If the increase in the contribution per member was sh. 24, what was the original contribution before
the other members left?
(c) Calculate the percentage increase in the contribution before the others left.
Date posted:
November 11, 2019
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Answers (1)
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The sum of interior angles of a regular polygon is 24 times the size of the exterior angle.
(a) Find the number of sides in the...
(Solved)
The sum of interior angles of a regular polygon is 24 times the size of the exterior angle.
(a) Find the number of sides in the polygon.
(b) Name the polygon.
Date posted:
November 11, 2019
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Answers (1)
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The travel timetable below shows the departure and arrival time for a bus plying between two towns M and R, 300 kilometres apart.
Calculate the average...
(Solved)
The travel timetable below shows the departure and arrival time for a bus plying between two towns M and R, 300 kilometres apart.

Calculate the average speed for the whole journey.
Date posted:
November 11, 2019
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Answers (1)
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Income rates for income earned were charged as follows.
A civil servant earns a monthly salary of ksh.19, 200. His house allowance is ksh.12, 000 per...
(Solved)
Income rates for income earned were charged as follows.

A civil servant earns a monthly salary of ksh.19, 200. His house allowance is ksh.12, 000 per month.
Other allowances per month are transport ksh.13, 000 and medical allowance ksh.2, 300. He is
entitled to a family relief of ksh.1, 240 per month. Determine
(a) (i) His taxable income per month
(ii) Net tax
(b) In addition, the following deductions were made.
NHIF sh.230
Service charge ksh.100
Loan repayment ksh.4, 000
Cooperative shares of ksh.1, 200
Calculate his net salary per month
Date posted:
November 11, 2019
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Answers (1)
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The figure below shows a right pyramid standing on a rectangular base ABCD. AB = 8cm, BC = 15cm and each slant edge is 12...
(Solved)
The figure below shows a right pyramid standing on a rectangular base ABCD. AB = 8cm, BC = 15cm and each slant edge is 12 cm long M is the midpoint of BC.

Calculate to one decimal place
a) the vertical height of the pyramid
b) the volume of the pyramid
c) the angle between plane VBC and the base
d) the angle between line VA and the plane ABCD
Date posted:
November 11, 2019
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Answers (1)
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Without using a protractor, construct line XY = 8cm
a) Construct the locus of all points R such that ??????? = 60°
b) Construct the locus of...
(Solved)
Without using a protractor, construct line XY = 8cm
a) Construct the locus of all points R such that ∠𝑋𝑅𝑌 = 60°
b) Construct the locus of all points P such that the area of triangle XPY is 16 𝑐𝑚2.
c) Mark all the points where the locus of R intersects the locus of P with the letters A,B,C and D
Date posted:
November 11, 2019
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Answers (1)
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During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their first match was 1/8...
(Solved)
During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their first match was 1/8 while that the handball team could lose was 4/7. Find the probability that at least one team won the first match.
Date posted:
November 11, 2019
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Answers (1)
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Points A and B lie on latitude 15°N and their longitudes differ by 25°. An aircraft takes 8 hours to fly between the points. Calculate...
(Solved)
Points A and B lie on latitude 15°N and their longitudes differ by 25°. An aircraft takes 8 hours to fly between the points. Calculate its speed in knots.
Date posted:
November 11, 2019
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Answers (1)
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Calculate the semi-interquartile range of 3,4,1,2,3,6,8,5,7,9.
(Solved)
Calculate the semi-interquartile range of 3,4,1,2,3,6,8,5,7,9.
Date posted:
November 11, 2019
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Answers (1)
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State the amplitude and the phase angle of the curve 4y = cos(5x - 400)
(Solved)
State the amplitude and the phase angle of the curve 4y = cos(5x - 400)
Date posted:
November 8, 2019
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Answers (1)
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Calculate the exact value of compound interest earned on Sh. 20 000 for 1 and half years at the rate of 12% p.a, compounded half yearly.
(Solved)
Calculate the exact value of compound interest earned on Sh. 20 000 for 1 and half years at the rate of 12% p.a, compounded half yearly.
Date posted:
November 8, 2019
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Answers (1)
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Given that z varies directly as the square of x and inversely as the square root of y.
(Solved)
Given that z varies directly as the square of x and inversely as the square root of y. If x = 2, y = 9
when z = 3, find z when x = 3 and y = 4.
Date posted:
November 8, 2019
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Answers (1)
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Solve for x in the equation log (5x - 15) - log(2x - 3) = 1
(Solved)
Solve for x in the equation
log (5x - 15) - log(2x - 3) = 1
Date posted:
November 8, 2019
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Answers (1)
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The equation of a curve is given by y=x3 + 4x2 - 3x.
(Solved)
The equation of a curve is given by y=x3 + 4x2 - 3x.
a) Find the value of y when x=1
b) Determine the stationary points of the curve.
c) Find the equation of the normal to the curve at =1 .
Date posted:
November 8, 2019
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Answers (1)
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(a) The ratio of Juma’s and Akinyi’s earnings was 5:3. Juma’s earnings rose to Ksh 8 400 after an increase of 12%. Calculate the percentage...
(Solved)
(a) The ratio of Juma’s and Akinyi’s earnings was 5:3. Juma’s earnings rose to Ksh 8 400 after an increase of 12%. Calculate the percentage increase in Akinyi’s earnings given that the sum of their earnings was Ksh. 14 100.
(b) Juma and Akinyi contributed all the new earnings to buy maize at Ksh 1 175 per bag. The maize was then sold at ksh 1 762.50 per bag. The two shared all the money from the sales of the maize in the ratio of their contributions. Calculate the amount that Akinyi got.
Date posted:
November 8, 2019
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Answers (1)