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A trader bought 8 cows and 12 goats for a total of Ksh.294,000. If he had bought 1 more cows and 3 more goats he...
(Solved)
A trader bought 8 cows and 12 goats for a total of Ksh.294,000. If he had bought 1 more cows and 3 more goats he would have spend Ksh.337,500.
(a) Form two equations to represent the above information.
(b) Use matrix method to determine the cost of a cow and that of a goat.
(c) The trader sold the animals he had bought making a profit of 40% per low and 45% per goat.
(i) Calculate the total amount of money he received.
(ii) Determine his profit in Kenya shillings.
Date posted:
April 25, 2019
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Answers (1)
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A square carpet is laid on the floor of a room so that one of its sides is against a side of a room. If...
(Solved)
a)A square carpet is laid on the floor of a room so that one of its sides is against a side of a room. If leaves strips of
uncovered floor 1m wide along the two opposite sides and 2m wide along the remaining side. If the area of the
room is 64m², find the dimensions of the carpet.
(b) Solve the equation:
Date posted:
April 25, 2019
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Answers (1)
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A construction company requires to transport 288 tonnes of stones to sites P and Q. The company pays 48,000 to
transport 48 tonnes of stones for...
(Solved)
A construction company requires to transport 288 tonnes of stones to sites P and Q. The company pays 48,000 to
transport 48 tonnes of stones for every 28km. Joyce transported 96 tonnes to site P, 49km away.
(a) Find how much she was paid.
(b) Joyce spends Ksh.6000 to transport every 8 tonnes of stones to site P. Calculate her total profit.
(c) Kimani transported the remaining stones to site Q, 84km away. If he made 44% profit, find his transport cost.
Date posted:
April 25, 2019
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Answers (1)
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A point C is on a line PQ where PQ = 9cm. C divides PQ such that PC=4/7PQ .By construction locate C.
(Solved)
A point C is on a line PQ where PQ = 9cm. C divides PQ such that PC=4/7PQ .By construction locate C.
Date posted:
April 25, 2019
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Answers (1)
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The mass of two similar solid are 324g and 768g. Find
(Solved)
The mass of two similar solid are 324g and 768g. Find
(a) height of the smaller solid if the height of the bigger solid is 20cm.
(b) the surface area of the smaller solid if the surface area of the bigger solid is 40cm².
Date posted:
April 25, 2019
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Answers (1)
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(a) Express 1050 in terms of its prime factors.
(b) Determine the smallest positive number such that 1050p is a perfect square.
(Solved)
(a) Express 1050 in terms of its prime factors.
(b) Determine the smallest positive number such that 1050p is a perfect square.
Date posted:
April 25, 2019
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Answers (1)
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Two variables A and B are connected by the equation.
A = kBn
(Solved)
Two variables A and B are connected by the equation.
A = kBn
Where k and n are constants.
The table below gives values of A and B

(b) On square paper draw a suitable straight line graph to represent the relation in (a) above (scale 1cm to represent 0.1 units on both axis)
(c) Use your graph to estimate the values of k and n in to one decimal place.
Date posted:
April 24, 2019
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Answers (1)
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In the figure above, OPQ is a triangle in which;
(Solved)

Date posted:
April 24, 2019
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Answers (1)
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Veterinary researchers were experimenting with a new drug on fowls in a research station. A sample of fowls which were known to have the disease...
(Solved)
Veterinary researchers were experimenting with a new drug on fowls in a research station. A sample of fowls which were known to have the disease was used. In this sample 30 fowls were treated with the drug and the remaining 18 fowls were not treated.
(a) Calculate the probability that a fowl selected at random from the sample is
(i) treated with the drug
(ii) not treated with the drug
(b) The probability that a fowl treated with the drug will die is 1/10
, while the probability that one which is not
treated will die is 7/10
Calculate the probability that a fowl picked at random from the sample is
(i) treated with the drug and will die
(ii) not treated with the drug and will die
(iii) treated with the drug and will not die
(iv) not treated with the drug and will not die
Date posted:
April 24, 2019
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Answers (1)
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Two towns on the earth’s surface are located at P (070N,300E) and Q (130S,300E). A pilot plans to fly from P to Q the shortest...
(Solved)
Two towns on the earth’s surface are located at P (070N,300E) and Q (130S,300E). A pilot plans to fly from P to Q the shortest route between the two towns.
(a) Calculate the shortest distance between P and Q in km.
(b) Find the distance in nautical miles (nm)
(c) The speed of the aircraft is 360 knots. Determine how long it takes to fly from P to Q.
Date posted:
April 24, 2019
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Answers (1)
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Under a transformation represented by a matrix m a point p (x, y) is mapped onto PI, (xI,yI) where
(Solved)
Under a transformation represented by a matrix m a point p (x, y) is mapped onto PI, (xI,yI) where

(a) Write down the matrix for m. (2 Marks)
(b) Find the inverse of m.
(c) The points AI (16,-2) BI (-8, 1), CI (8,-1) and DI (9,-8) are the images of A, B, C and D respectively under M.
Determine the coordinates of A, B, C and D.
Date posted:
April 24, 2019
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Answers (1)
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Kennedy bought three cows and twenty-five goats spending a total of Sh. 75000. If he had bought two cows and thirty three goats, he would...
(Solved)
Kennedy bought three cows and twenty-five goats spending a total of Sh. 75000. If he had bought two cows and thirty three goats, he would have saved Sh. 5400. Kennedy later sold all his animals at a profit of 40% per cow and 50% per goat.
Determine;
(a) the cost at which he bought each animal.
(b) the total amount of money Kennedy received after selling all the animals.
Date posted:
April 24, 2019
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Answers (1)
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Wambua invested Sh. 6400 at 15% per annum compound interest for 3 years. Muinde invested twice that amount at 12.5% per annum simple interest for...
(Solved)
Wambua invested Sh. 6400 at 15% per annum compound interest for 3 years. Muinde invested twice that amount at 12.5% per annum simple interest for the same period of time. Find whose investment earned more interest and by how much.
Date posted:
April 24, 2019
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Answers (1)
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Solve for x in the equation log (x – 1) = log 12 – log (x – 2)
(Solved)
Solve for x in the equation log (x – 1) = log 12 – log (x – 2)
Date posted:
April 24, 2019
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Answers (1)
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The equation of a circle is x2 – 8x + y2 + 12y + 16 = 0.Determine the coordinates of the centre of the circle...
(Solved)
The equation of a circle is x2 – 8x + y2 + 12y + 16 = 0.Determine the coordinates of the centre of the circle and its radius.
Date posted:
April 24, 2019
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Answers (1)
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The length and breadth of a metal sheet are measured to the nearest centimetre and recorded as 25cm and 16cm
respectively.
(Solved)
The length and breadth of a metal sheet are measured to the nearest centimetre and recorded as 25cm and 16cm
respectively.
(a) Find the maximum possible error in the area of the sheet.
(b) Calculate to one decimal place the percentage error in the area of the sheet.
Date posted:
April 24, 2019
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Answers (1)
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Triangle PQR has vertices at P (2,3), Q(1,2) and R(4,1), while triangle PIQIRI has vertices PI(-2,3),QI(-1,2), RI(-4,1)
(Solved)
Triangle PQR has vertices at P (2,3), Q(1,2) and R(4,1), while triangle PIQIRI has vertices PI(-2,3),QI(-1,2), RI(-4,1)
(a) (i) Draw triangle PQR and PIQIRI on the grid provided.
(ii) Describe fully a single transformation which maps triangle PQR onto triangle PIQIRI.
(b) (i) On the same grid, draw triangle PIIQIIRII the image of PQR under a reflection on the line y + x = 0.
(ii) Describe fully a single transformation which maps triangle PIIQIIRII onto triangle PIQIRI.
Date posted:
April 24, 2019
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Answers (1)
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P, Q and R are three villages such that PQ = 10km, QR = 8km and PR = 4km are connecting roads.
(Solved)
P, Q and R are three villages such that PQ = 10km, QR = 8km and PR = 4km are connecting roads.
(a) Using a scale of 1cm to represent 1km, locate the relative positions of the three villages.
(b) A water tank T is to be located at a point equidistant from the three villages. By construction locate water tank T and measure its distance from R.
(c) Determine the shortest distance from T to the road PQ by construction.
(d) Determine the area enclosed by the roads PQ, QR and PR by calculation.
Date posted:
April 24, 2019
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Answers (1)
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Triangle PQR is inscribed in the circle. PQ = 7.8cm, PR = 6.6cm and QR = 5.9cm.
(Solved)
Triangle PQR is inscribed in the circle. PQ = 7.8cm, PR = 6.6cm and QR = 5.9cm.

Find;
(a) size of angle QPR
(b) the radius of the circle.
(c) the area of the shaded region.
Date posted:
April 24, 2019
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Answers (1)
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John bought 3 brands of tea; A, B and C. The cost price of the three brands were Sh. 25, Sh. 30 and Sh. 45...
(Solved)
John bought 3 brands of tea; A, B and C. The cost price of the three brands were Sh. 25, Sh. 30 and Sh. 45 per kilogram
respectively. He mixed the three brands in the ratio 5:2:1 respectively. After selling the mixture, he made a profit of
20%.
(a) How much profit did he make per kilogram of the mixture?
(b) After one year the cost price of each brand was increased by 10%.
(i) For how much did he sell one kilogram of the mixture to make a profit of 15%?
(Give your answer to the nearest 5 cents)
(ii) What would have been his percentage profit if he sold one kilogram of the mixture at Sh. 45.
Date posted:
April 24, 2019
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Answers (1)