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A quantity V is partly constant and partly varies inversely as the square of W. If W=2 when V=14 and W=3 when V=9, write an...
(Solved)
A quantity V is partly constant and partly varies inversely as the square of W. If W=2 when V=14 and W=3 when V=9, write an equation connecting V and W hence find V when W=6
Date posted:
September 23, 2019
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Answers (1)
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The position vector of A and B are a=4i+4j-k6 and b=10i+4j+12k D is a point on AB such that AD:DB is 2:1. Find the co...
(Solved)
The position vector of A and B are a=4i+4j-k6 and b=10i+4j+12k D is a point on AB such that AD:DB is 2:1. Find the co ordinates of D
Date posted:
September 23, 2019
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Answers (1)
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By correcting each number to one significant figure, approximate the value of 578x0.005. Hence calculate the percentage error arising from the approximate
(Solved)
By correcting each number to one significant figure, approximate the value of 578x0.005. Hence calculate the percentage error arising from the approximate
Date posted:
September 23, 2019
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Answers (1)
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If (5x + 6y): (2x + 10y) = 22: 10 find x: y.
(Solved)
If (5x + 6y): (2x + 10y) = 22: 10 find x: y.
Date posted:
September 21, 2019
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Answers (1)
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The figure below A=62° B = 41° BC=8.4cm and CN is the bisector of ACB
Calculate the length of CN to l decimal place.
(Solved)
The figure below A=62° B = 41° BC=8.4cm and CN is the bisector of ACB

Calculate the length of CN to l decimal place.
Date posted:
September 21, 2019
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Answers (1)
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Use mathematical tables to evaluate.
(Solved)
Use mathematical tables to evaluate.

Date posted:
September 21, 2019
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Answers (1)
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Two bags A and B contain red and blue balls.Bag A contains 2 blue balls and 3 red balls while bag B contains 3 blue...
(Solved)
Two bags A and B contain red and blue balls.Bag A contains 2 blue balls and 3 red balls while bag B contains 3 blue balls and 2 red balls.A bag is selected at random and two balls picked without replacement.
a)use a tree diagram to illustrate the above information
b)use the tree diagram above to find the probability of picking
i)Balls of the same colour
ii)A red ball followed by a blue ball
iii)At least a blue ball
iv)One red ball
Date posted:
September 21, 2019
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Answers (1)
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The 2nd and the 5th terms of an arithmetic progression are 8 and 17 respectively, the 2nd, 10th and the 42nd terms of the...
(Solved)
The 2nd and the 5th terms of an arithmetic progression are 8 and 17 respectively, the 2nd, 10th and the 42nd terms of the A.P form the first three terms of a geometric progression. Find.
a)The 1st term and the common difference of the A.P.
b)The first three terms of G.P and the 10th term of the G.P.
c)The sum of the first 10 terms of the G.P.
Date posted:
September 21, 2019
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Answers (1)
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Income rates for income earned was charged as follows
Income in Kshs. Per month Rates in Kshs. Per Ksh.20
1 - 8400 2
8401 - 18000 3
18001 - 30,000 4
30,001 - 36,000 5
36,001 - 48,000 6
48,001 and above 7
An employee earns a monthly salary of...
(Solved)
Income rates for income earned was charged as follows
Income in Kshs. Per month Rates in Kshs. Per Ksh.20
1 - 8400 2
8401 - 18000 3
18001 - 30,000 4
30,001 - 36,000 5
36,001 - 48,000 6
48,001 and above 7
An employee earns a monthly salary of Ksh.19,200 and is housed by the institution and pays a nominal rent of Kshs.2000 per month. His house allowance is Ksh. 12,000 per month, transport allowance Ksh.1,300 and medical allowance, Ksh.2,300.He is entitled to a family relief of Ksh.1240 per month. Determine
a)i)His taxable income per month.
ii)Net tax
b)In addition the following deductions were made;NHIF Ksh.230,service charge kshs.100,loan repayment kshs.4000,co-operative share kshs.1200.Calculate his net salary per month
Date posted:
September 21, 2019
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Answers (1)
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Make k the subject of the formula.
(Solved)
Make k the subject of the formula.

Date posted:
September 21, 2019
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Answers (1)
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Rationalize the denominator fully and simplify, leaving your answer in surd form
(Solved)
Rationalize the denominator fully and simplify, leaving your answer in surd form

Date posted:
September 21, 2019
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Answers (1)
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The figure below shows a triangle ABC inscribed in a circle.AC = 10cm BC = 7cm and AB = 10cm.Find the radius of the circle(leave...
(Solved)
The figure below shows a triangle ABC inscribed in a circle.AC = 10cm BC = 7cm and AB = 10cm.Find the radius of the circle(leave your answer to the nearest 1 decimal place)

Date posted:
September 21, 2019
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Answers (1)
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A TV set was bought on hire purchase. A down payment (deposit) of Kshs.5000 was paid and a 15 monthly installment of Kshs. 1500 was...
(Solved)
A TV set was bought on hire purchase. A down payment (deposit) of Kshs.5000 was paid and a 15 monthly installment of Kshs. 1500 was required.
a)Calculate the total amount paid on hire purchase
b)If the hire purchase payment is 20% more than cash payment, find the cash price
Date posted:
September 21, 2019
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Answers (1)
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The initial velocity of a particle was 1 m/s and its acceleration is given by 2-t m/s2 every second after the start.
(i)determine the equation representing...
(Solved)
The initial velocity of a particle was 1 m/s and its acceleration is given by 2-t m/s2 every second after the start.
(i)determine the equation representing its velocity.
(ii)Find the velocity of the particle during the third second
Date posted:
September 21, 2019
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Answers (1)
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A and B are two points on the latitude 400N. The two points lie on the longitude 800W and 1000E respectively. ( take r= 6370...
(Solved)
A and B are two points on the latitude 400N. The two points lie on the longitude 800W and 1000E respectively. ( take r= 6370 km & π= 22/7)
( a ) Calculate:
(i)The distance from A to B along the parallel of latitude
(ii)The shortest distance from A to B
( b )Two planes P and Q left A for B at 400 knots and 600 knots respectively. If P flew along the great circle and q along the parallel of latitude, which one arrived earlier and by how long? Give your answer to
the nearest minute
Date posted:
September 21, 2019
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Answers (1)
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Mrs. Langat, a primary school head teacher, earns a basic salary of sh.38,300, house allowance of sh 12000 and medical allowance of sh 3600 every...
(Solved)
Mrs. Langat, a primary school head teacher, earns a basic salary of sh.38,300, house allowance of sh 12000 and medical allowance of sh 3600 every month. She claims a family relief of sh.1172 and insurance relief of 3% of the premium paid. Using tax rates table below:

(a)Calculate Mrs. Langat’s annual taxable income in Kenya pound per annum
(b)Tax due every month from Mrs. Langat
(c) If further deductions are made every month from her salary:
•WCPS of 2% of basic salary
•Life insuarance premium of sh4600
•Sacco loan repayment of sh 14,200
Calculate: (i) the total deductions
( ii ) her net pay for every month
Date posted:
September 21, 2019
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Answers (1)
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The diagram below shows a design model of a race course drawn to scale of 1:5000,000. It consists of two circles centre A and B...
(Solved)
The diagram below shows a design model of a race course drawn to scale of 1:5000,000. It consists of two circles centre A and B radii 0.5cm and 0.8cm respectively and the distance between their centres is 3.0cm

Calculate in km:
(i) The length of leg CD
(ii) The length of the leg DEG (π=3.142)
(iii) The length of the leg HIC (π=3.142)
(iv) During a race, the course is manned by race officials placed 500m apart and each is paid Kshs.2300/= per day. How much is needed to pay race officials for one day event
Date posted:
September 20, 2019
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Answers (1)
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In a certain country, the probability of a school A topping in county exams is 1/3. If it tops the probability of it topping in...
(Solved)
In a certain country, the probability of a school A topping in county exams is 1/3. If it tops the probability of it topping in KCSE is 5/7 otherwise the probability of it topping in KCSE is 2/9. If the school tops in KCSE the probability of its appearing in the newspaper is 2/5, otherwise the probability of its appearing in newspaper is 4/11
(a) Draw a tree diagram to represent the above information
(b) Use the tree diagram to find the probability that:
(i) The school tops in the two exams and appears in the newspaper
(ii) The school did not appear in the newspaper
(iii) The school topped in at least one exam and did not appear in the newspaper
(iv) The school appeared in the newspaper
Date posted:
September 20, 2019
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Answers (1)
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A passenger plane takes off from airport A(60oN,5oE) and flies directly to another airport B(60oN,17oE) and then flies due North for 600 nautical miles (nm)...
(Solved)
A passenger plane takes off from airport A(60oN,5oE) and flies directly to another airport B(60oN,17oE) and then flies due North for 600 nautical miles (nm) another airport C
(a) Find the position of airport C
(b) Find the distance between airport A and B in nautical miles
(c) If the plane at an average speed of 300knots, find total flight time
(d)Given that the plane left air port A at 9.20am. Find the local time of arrival at airport C
Date posted:
September 20, 2019
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Answers (1)
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A solution whose volume is 120 litres is made up of 35% water and the rest alcohol. When y litres of alcohol is added the...
(Solved)
A solution whose volume is 120 litres is made up of 35% water and the rest alcohol. When y litres of alcohol is added the percentage of water drops to 15%
(a) Find the value of y
(b) The new solution is diluted further by addition of seventy litres of water. Calculate the percentage of alcohol in the resulting solution
(c) A blend is made by mixing 10 litres of the solution in (b) above with 20 liters of the original solution.
Calculate in the simplest form, the ratio of water to that of alcohol in the blend
Date posted:
September 20, 2019
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Answers (1)