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Find the equation of the perpendicular bisector of line AB where A is (3, 9) and B(7,5) giving your answer in the form
ax + by...
(Solved)
Find the equation of the perpendicular bisector of line AB where A is (3, 9) and B(7,5) giving your answer in the form
ax + by + c = 0
Date posted:
May 3, 2019
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Answers (1)
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From a viewing tower 30 metres above the ground, the angle of depression of an object on the ground is 30o and the
angle of elevation...
(Solved)
From a viewing tower 30 metres above the ground, the angle of depression of an object on the ground is 30o and the
angle of elevation of an aircraft vertically above the object is 42o. Calculate the height of the aircraft above the ground.
Date posted:
May 3, 2019
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Answers (1)
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If x = 2/3 is a root of 6x2 + kx – 2 = 0, find the value of k and the other root.
(Solved)
If x = 2/3 is a root of 6x2 + kx – 2 = 0, find the value of k and the other root.
Date posted:
May 3, 2019
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Answers (1)
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Tap A takes 4 minutes to fill a tank and tap B takes 6 minutes to empty the tank. If the tank has a capacity...
(Solved)
Tap A takes 4 minutes to fill a tank and tap B takes 6 minutes to empty the tank. If the tank has a capacity of 3000 litres find the volume of the tank after 2 minutes when both taps are open.
Date posted:
May 3, 2019
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Answers (1)
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A plane S flies from a point P (400N, 450W) to a point Q(350N, 450W) and then onto a point T (350N, 1350E).
(Solved)
A plane S flies from a point P (400N, 450W) to a point Q(350N, 450W) and then onto a point T (350N, 1350E).
a) Given that the radius of the earth is 6370km, find the distance P to Q in km.
b) Find in nm;
i) the shortest distance between Q and T.
ii) the longest distance between Q and T (to the nearest tens).
c) Find the difference in time taken when S flies along the shortest and longest routes if its speed is 420 knots.
Date posted:
May 3, 2019
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Answers (1)
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A bag, contains 5 blue balls, 8 red balls and 3 green balls being similar in shape and size. A ball is picked out at
random...
(Solved)
A bag, contains 5 blue balls, 8 red balls and 3 green balls being similar in shape and size. A ball is picked out at
random without replacement and it’s colour noted. Use a tree diagram to determine the probability that at least
one of first two balls picked is green.
Date posted:
May 3, 2019
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Answers (1)
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The table below shows the income tax rates for a certain year.
(Solved)
The table below shows the income tax rates for a certain year.

In that year Maina paid a net tax of ksh. 5512 per month. His total monthly taxable allowances amounted to ksh.
15,220 and he was entitled to a monthly personal relief of ksh. 1162. Every month the following deductions were made
- NHIF Ksh. 320
- Union dues Ksh. 200
- Co-op shares Ksh. 7500
a) Calculate Maina’s monthly basic salary in Ksh.
b) Calculate his monthly net salary.
Date posted:
May 3, 2019
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Answers (1)
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In the triangle OAB below, OA = a, OB = b and OC = 3/2OA. M divided OB in the ratio 3:2.
(Solved)
In the triangle OAB below, OA = a, OB = b and OC = 3/2OA. M divided OB in the ratio 3:2.

a) Express in terms of a and b only, the vectors
i) BA
ii) MC
b) Given further that MN = hMC and BN = kBA, express vector MN in two different ways and hence, find the value of h and k.
c) Show that the points M, N and C are collinear.
Date posted:
May 3, 2019
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Answers (1)
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A quantity y varies partly as x and partly as the inverse of the square of x. If x = 2 when y = 4...
(Solved)
A quantity y varies partly as x and partly as the inverse of the square of x. If x = 2 when y = 4 and x = 4
when y = 6.25 find the equation connecting x and y.
Date posted:
May 3, 2019
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Answers (1)
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Ketepa tea worth ksh. 40 per kg is mixed with Sasini tea worth sh. 60 per kg in the ratio 3:1. In what ratio should...
(Solved)
Ketepa tea worth ksh. 40 per kg is mixed with Sasini tea worth sh. 60 per kg in the ratio 3:1. In what ratio should this
mixture be mixed with Kericho tea worth sh. 50 per kg to produce a mixture worth sh. 47 per kg.
Date posted:
May 3, 2019
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Answers (1)
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Two taps A and B together, can fill water in a tank in 6 minutes. Tap A alone takes 5 minutes longer to fill the...
(Solved)
Two taps A and B together, can fill water in a tank in 6 minutes. Tap A alone takes 5 minutes longer to fill the tank than
the tap B alone. How many minutes does it take tap B alone to fill the tank.
Date posted:
May 3, 2019
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Answers (1)
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Make p the subject of the formula;
(Solved)
Make p the subject of the formula;

Date posted:
May 3, 2019
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Answers (1)
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Rono invested a sum of money, sh p at 24% p.a simple interest for 8 years and realised that he got the same amount as
Wekesa...
(Solved)
Rono invested a sum of money, sh p at 24% p.a simple interest for 8 years and realised that he got the same amount as
Wekesa who invested sh. 2p for 4 years at compound interest. Calculate the rate of interest p.a
Wekesa enjoyed.
Date posted:
May 3, 2019
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Answers (1)
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Use logarithms correct to 4 significant figures to evaluate.
(Solved)
Use logarithms correct to 4 significant figures to evaluate.

Date posted:
May 3, 2019
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Answers (1)
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A bus travels from Murang’a to Meru a distance of 320km at a speed of x km/h. If the speed is reduced by 20km/h the
bus...
(Solved)
A bus travels from Murang’a to Meru a distance of 320km at a speed of x km/h. If the speed is reduced by 20km/h the
bus would take 48 minutes more.
a) Form an equation to represent the given information and simplify it.
b) Find the speed of the bus.
c) Determine the time taken by the bus for the whole journey.
d) Another car is moving from Meru to Murang’a at a speed of 80km/h. Determine their relative speed.
Date posted:
May 3, 2019
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Answers (1)
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The table below shows measurements, in metres made by surveyor in his field book.
(Solved)
The table below shows measurements, in metres made by surveyor in his field book.

i) Using an appropriate scale draw the region.
ii) Find the area in hectares of the filed.
Date posted:
May 3, 2019
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Answers (1)
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Given that a = 5i + 4j, b = 3i - 2j and c = 7i + 10j; find the scalars m and n such...
(Solved)
Given that a = 5i + 4j, b = 3i - 2j and c = 7i + 10j; find the scalars m and n such that ma + nb = c
Date posted:
May 3, 2019
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Answers (1)
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The cash price of a music system is kshs. 30,000. It can be bought under hire purchase terms by paying a deposit of
kshs. 10,000 and...
(Solved)
The cash price of a music system is kshs. 30,000. It can be bought under hire purchase terms by paying a deposit of
kshs. 10,000 and twelve monthly installments of Kshs. 3,200 per month. Determine the percentage rate of interest per
month.
Date posted:
May 3, 2019
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Answers (1)
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If 2/3 is added to the numerator of a certain fraction the fraction will be increased by 1/21 and if 1/2 is deducted
from its denominator...
(Solved)
If 2/3 is added to the numerator of a certain fraction the fraction will be increased by 1/21 and if 1/2 is deducted
from its denominator that fraction becomes 2/9. Find the reciprocal of the fraction.
Date posted:
May 3, 2019
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Answers (1)
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The position of two towns A and B on earth surface are (360N, 490E) and (360N, 1310W) respectively.Take R = 6370
(Solved)
The position of two towns A and B on earth surface are (360N, 490E) and (360N, 1310W) respectively.Take R = 6370
a) Find the difference in longitude between the town A and B.
b) Calculate the distance between A and B along the latitude in
i) nautical miles
ii) kilometres
c) i) Another town C is 840km East of town B and on the same latitude as town A and B . Find the position of town C.
ii) If the local time in B is 7.30 a.m, find the local time in C.
Date posted:
May 3, 2019
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Answers (1)