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A mixture of sand, cement and ballast is in the ratio 5:1:3. If the cost of 7 tonnes of sand is Sh 3000,
5 tonnes of...
(Solved)
A mixture of sand, cement and ballast is in the ratio 5:1:3. If the cost of 7 tonnes of sand is Sh 3000,
5 tonnes of cement sh 50,000 and 8 tonnes of ballast Sh 4000, find the cost of 7tonnes of the mixture.
Date posted:
September 18, 2019
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Answers (1)
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The price of a new car is Shs. 800,000. If it depreciates at a constant rate to Shs 550,000within 4 years, find the annual rate...
(Solved)
The price of a new car is Shs. 800,000. If it depreciates at a constant rate to Shs 550,000 within 4 years, find the annual rate of depreciation.
Date posted:
September 18, 2019
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Answers (1)
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A quantity y varies partly as the square of x, and partly as x. When y = 20 x = 2 and when y...
(Solved)
A quantity y varies partly as the square of x, and partly as x. When y = 20 x = 2 and when y =36, x = 3.
Find the equation showing the relationship between x and y.
Date posted:
September 18, 2019
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Answers (1)
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Calculate the shortest distance in nautical miles between M(45°N, 38°E) andN(45°N, I 42°W)
(Solved)
Calculate the shortest distance in nautical miles between M(45°N, 38°E) and N(45°N,42°W)
Date posted:
September 18, 2019
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Answers (1)
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A man deposits his money in a savings bank on a monthly basis. Each deposits exceeds the previous one by Shs 500. If he started...
(Solved)
A man deposits his money in a savings bank on a monthly basis. Each deposits exceeds the previous one by Shs 500. If he started by depositing Shs 1500, how much will he have deposited in 12 months?
Date posted:
September 18, 2019
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Answers (1)
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Triangle OPQ is such that OP = p and OQ = q point R divides OP in the ratio 1:3 and a point S
divided...
(Solved)
Triangle OPQ is such that OP = p and OQ = q point R divides OP in the ratio 1:3 and a point S
divided PQ in the ratio 5:2 OS and RQ meet at T.
a) Express OS and QR in term of p an q.
b) Given that OT = KOS. Express OT in terms of K, p and q
c) (i) Given also that RT = h RQ, express OT interms of h , p and q
(ii) find the value of h and k
d) State the ratio in which Q divided RT.
Date posted:
September 18, 2019
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Answers (1)
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Wafula was asked to round off to 2/3 decimal places but he truncated it to 3 decimal places.Determine the percentage error as a result...
(Solved)
Wafula was asked to round off 2/3 to 2 decimal places but he truncated it to 3 decimal places.
Determine the percentage error as a result of misunderstanding of the question
Date posted:
September 18, 2019
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Answers (1)
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Find without using mathematical tables or calculator, the value of x which satisfy the equation.
Log2 (x2 – 9) = 3 log2 2 +1
(Solved)
Find without using mathematical tables or calculator, the value of x which satisfy the equation.
Log2 (x2 – 9) = 3 log2 2 +1
Date posted:
September 18, 2019
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Answers (1)
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a)(i) Taking the radius of the earth, R= 6370km and p = 22/7, calculate the shortest distance between
the two cities P(60oN, 29oW) and Q(60oN, 31oE)...
(Solved)
a)(i) Taking the radius of the earth, R= 6370km and π = 22/7, calculate the shortest distance between
the two cities P(60oN, 29oW) and Q(60oN, 31oE) along the parallel of latitude.
(ii) If it is 1200hrs at P, what is the local time at Q
(b)An aeroplane flew due south from a point A (60oN, 45oE) to a point B. the distance covered by
the aeroplane was 800km. determine the position of B.
Date posted:
September 18, 2019
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Answers (1)
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The diagram below shows a circle ABCDE. The line FEG is a tangent to the circle at point E. Line DE is parallel to CG,...
(Solved)
The diagram below shows a circle ABCDE. The line FEG is a tangent to the circle at point E. Line DE is parallel to CG, ∠DEC = 28o and ∠AEG = 32o.

Calculate:
(a) ∠AEG
(b) ∠ABC
Date posted:
September 18, 2019
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Answers (1)
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The expression 1 + x/2 is taken as an approximation for v1 + x. Find the percentage error in doing so if x = 0.44.
(Solved)
The expression 1 + x/2 is taken as an approximation for √1 + x. Find the percentage error in doing so if x = 0.44.
Date posted:
September 18, 2019
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Answers (1)
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The second, third and fourteenth terms of an Arithmetic progression are the three consecutive terms of a geometric progression. The 10th term of the arithmetic...
(Solved)
The second, third and fourteenth terms of an Arithmetic progression are the three consecutive terms of a geometric progression. The 10th term of the arithmetic progression is 18. Find;
a) The first term and the common difference of the progression.
b) The sum of the first 10 terms of the progression.
c) The sixth term of the a.p
Date posted:
September 18, 2019
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Answers (1)
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Use binomial expansion to expand and simplify (1-3x)6 upto term in x3.
Hence approximate the value of (0.97)6 correct to 4 significant figures.
(Solved)
Use binomial expansion to expand and simplify (1-3x)6 upto term in x3.
Hence approximate the value of (0.97)6 correct to 4 significant figures.
Date posted:
September 18, 2019
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Answers (1)
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Find the compound interest on sh. 21000 in 5years at 15% p.a
(Solved)
Find the compound interest on sh. 21000 in 5years at 15% p.a
Date posted:
September 18, 2019
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Answers (1)
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A bag A has 5 green marbles, 9 red marbles and Y blue marbles, all identical except for colour. The total number of marbles in...
(Solved)
A bag A has 5 green marbles, 9 red marbles and Y blue marbles, all identical except for colour. The total number of marbles in the bag is two more than double the number of blue marbles.
Three marbles are then randomly picked one at a time from bag A and placed in bag B.
(a) Find the value of Y.
(b) Find the probability that;
(i) The first two marbles picked are green
(ii) All the three marbles are of different colour
(iii) At least one of the three marbles placed in bag B are blue.
(iv) At most two marbles are red.
Date posted:
September 18, 2019
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Answers (1)
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A farmer has two tractors, A and B. The tractors working together can plough a farm in 2½ hours. One day the tractors started to...
(Solved)
A farmer has two tractors, A and B. The tractors working together can plough a farm in 2½ hours. One day the tractors started to plough the farm together. After one hour ten minutes, tractor B broke down but A continued alone and completed the job after a further four hours.
(a) The fraction of the job done by tractor A after tractor B broke down.
(b) The time each tractor working alone would have taken to plough the farm.
Date posted:
September 18, 2019
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Answers (1)
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A two-digit positive number is such that the sum of its digits is nine. When the digits are reversed, the new number formed exceeds...
(Solved)
A two-digit positive number is such that the sum of its digits is nine. When the digits are reversed,the new number formed exceeds the original number by 27. Find the original number.
Date posted:
September 18, 2019
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Answers (1)
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Calculate the interest on Ksh. 10,000 invested for 1½ years at 12% p.a compounded quarterly. (Give your answer to the nearest 50cts)
(Solved)
Calculate the interest on Ksh. 10,000 invested for 1½ years at 12% p.a compounded quarterly. (Give your answer to the nearest 50cts)
Date posted:
September 17, 2019
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Answers (1)
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The figure below is a sketch of the curve whose equation is y=x2 + x +5, it cuts the line y =11 at the points...
(Solved)
The figure below is a sketch of the curve whose equation is y=x2 + x +5, it cuts the line y =11 at the points P and Q

(a)Find the area bounded by the curve y = x2+ x + 5 and the line y = 11 ( shaded) using the
trapezium rule with 5 strips.
(b)Calculate the difference in area if the mid-ordinate rule with 5 ordinates was used instead of the
trapezium rule.
(c)find the exact area in (a) above using integration.
Date posted:
September 17, 2019
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Answers (1)
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The table below shows income tax rates.
Omari’s monthly taxable income is Kshs. 24200
(a) Calculate the tax charged on Omari’s monthly earnings.
(b) Omari is entitled...
(Solved)
The table below shows income tax rates.

Omari’s monthly taxable income is Kshs. 24200
(a) Calculate the tax charged on Omari’s monthly earnings.
(b) Omari is entitled to the following tax relief of 15% of the premium pound.
Calculate the tax Omari pays each month if he pays a monthly insurance premium of Kshs. 2400
(c) During a certain month, Omari receive additional earnings which were taxed at 20%
each shilling. Given that the paid 36.3% more tax that month, calculate the percentage
increase in his earning.
Date posted:
September 17, 2019
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Answers (1)