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- OABC is a trapezium such that the coordinates of O, A , B and C are (0, 0), (2, -1), (4, 3)
and (0, y)
(a) Find...(Solved)
OABC is a trapezium such that the coordinates of O, A , B and C are (0, 0), (2, -1), (4, 3)
and (0, y)
(a) Find the value of y
(b) M is the mid-point of AB and N is the mid-point of OM. Find in column form
(i) the vector AN
(ii) the vector NC
(iii) Vector AC
(c) Hence show that A, N and C are collinear
Date posted: June 19, 2019. Answers (1)
- In the figure below (not drawn to scale), PQRS is a rectangle and P and Q are the points
(3, 2) and (1,4) respectively
Given that the...(Solved)
In the figure below (not drawn to scale), PQRS is a rectangle and P and Q are the points
(3, 2) and (1,4) respectively
Given that the equation of the line PQ is y =3x -7, find:
(a) The equation of line QR
(b) The coordinates of point R
(c) The coordinates of point S
Date posted: June 19, 2019. Answers (1)
- T is the mid-point of line XY where X is point (1,4) and Y is the point (-5, 10). Find the
equation of a line, L2...(Solved)
T is the mid-point of line XY where X is point (1,4) and Y is the point (-5, 10). Find the
equation of a line, L2 which is perpendicular to line XY and goes through point T
Date posted: June 19, 2019. Answers (1)
- Find the equation of a line which passes through the point (2, 3) and is perpendicular to
y – 3x+ 1 = 0, giving your answer...(Solved)
Find the equation of a line which passes through the point (2, 3) and is perpendicular to
y – 3x+ 1 = 0, giving your answer in the form y = mx + c
Date posted: June 19, 2019. Answers (1)
- Find the angle ? in degrees from the figure below(Solved)
Find the angle θ in degrees from the figure below
Date posted: June 19, 2019. Answers (1)
- In certain day the bank rates for changing dollars to shillings are given below.
Buying selling
Dollar 78.43 ...(Solved)
In certain day the bank rates for changing dollars to shillings are given below.
Buying selling
Dollar 78.43 79.25
An American tourist changed US dollar 1500 to shillings, but then had to return to U. S. A
immediately and changed all the shillings back to dollars using the same rates. How much
did he lose?
Date posted: June 19, 2019. Answers (1)
- Factorise the expression(Solved)
Factorise the expression
Date posted: June 19, 2019. Answers (1)
- When shop keeper sells articles at sh. 240.50 each he makes a profit of 25% on the cost
price. During a sale he reduces the price...(Solved)
When shop keeper sells articles at sh. 240.50 each he makes a profit of 25% on the cost
price. During a sale he reduces the price of each article by sh. 22.90. Calculate the
percentage profit on an article sold at the sale price.
Date posted: June 19, 2019. Answers (1)
- The cost of a camera outside Kenya is US$1000. James intends to buy one camera through an agent
who deals in Japanese Yen. The agent charges...(Solved)
The cost of a camera outside Kenya is US$1000. James intends to buy one camera through an agent
who deals in Japanese Yen. The agent charges him a commission of 5% on the price of the camera and
further 1260 Yen as importation tax. How many Kshs. Will he need to send to the agent to obtain the
camera, given that:-
1 US$ = 105.00 Yen.
1 US$ = Kshs.63.00
Date posted: June 19, 2019. Answers (1)
- Muthoni went to a shop and bought 50 packets of milk and 25 packets of salt all for Kshs.200.00. She
sold the milk at a profit...(Solved)
Muthoni went to a shop and bought 50 packets of milk and 25 packets of salt all for Kshs.200.00. She
sold the milk at a profit of 28% and the salt at a profit of 24% thereby making a net profit of
Kshs.53.50. Find the cost price of a packet of milk and a packet of salt.
Date posted: June 19, 2019. Answers (1)
- Kimani bought a car at kshs. 120,000. Its value depreciated by 8% per year for the first 2 years
and by 12% per year for the...(Solved)
Kimani bought a car at kshs. 120,000. Its value depreciated by 8% per year for the first 2 years
and by 12% per year for the subsequent years.
(a) Determine the value of the car after 6 years.
(b) After 6 years, the car was sold through an agent at 25% more than its value. If the sales
price was to be taken as its value after depreciation, calculate the average monthly rate of
depreciation for the six years.
Date posted: June 19, 2019. Answers (1)
- A Kenya bank buys and sells foreign currencies as shown below.
...(Solved)
A Kenya bank buys and sells foreign currencies as shown below.
Buying (Ksh) Selling Ksh
1 Euro 84.15 84.26
100 Japanese Yen 65.37 65.45
A Japanese traveling from France in Kenya with 5000 Euros. He converted all the 5000 Euros to
Kenya shillings at the bank. While in Kenya, he spent a total of Ksh. 289850 and then converted the
remaining Kenya shillings to Japanese Yens at the bank. Calculate the amount in Japanese Yen that he
received.
Date posted: June 19, 2019. Answers (1)
- Mr. Sitienei sold a house to Mr. Lagat at a profit of 10%. Mr. Lagat then sold it to Mr. Rotich at a
profit of 5%....(Solved)
Mr. Sitienei sold a house to Mr. Lagat at a profit of 10%. Mr. Lagat then sold it to Mr. Rotich at a
profit of 5%. Mr. Rotich paid Ksh 110,000 more than Mr. Lagat for the house. Find how much Mr.
Rotich paid for the house.
Date posted: June 19, 2019. Answers (1)
- Juanita sold goods worth Ksh 95,000 and earned a total commission of Ksh 4,500. If the commission
on the first Ksh. 50,000 was half of the...(Solved)
Juanita sold goods worth Ksh 95,000 and earned a total commission of Ksh 4,500. If the commission
on the first Ksh. 50,000 was half of the total commission, what were the two rates of commission?
Date posted: June 19, 2019. Answers (1)
- A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch
worth 52 Deutsche marks. Find the value of the watch...(Solved)
A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch
worth 52 Deutsche marks. Find the value of the watch in:-
(a) Swiss Francs
(b) Kenya shillings
Use the exchange rates below
1 Swiss Franc = 1.28 Deutsche marks
1 Swiss Franc = 45.21 Kenya shillings
Date posted: June 19, 2019. Answers (1)
- A man imported a vehicle at Shs. 600,000 and sold it at Sh. 1,080,0000. Find his percentage profit if he
spent sh. 60,000 for clearing the...(Solved)
A man imported a vehicle at Shs. 600,000 and sold it at Sh. 1,080,0000. Find his percentage profit if he
spent sh. 60,000 for clearing the vehicle from the port and a further sh. 40,000 for shipping.
Date posted: June 19, 2019. Answers (1)
- Chepkurui imports rice from the United States at an initial cost of 500US Dollars per tonne. He then
pays 20% of this amount as shipping costs...(Solved)
Chepkurui imports rice from the United States at an initial cost of 500US Dollars per tonne. He then
pays 20% of this amount as shipping costs and 10% of the same amount as custom duty. When the
rice reaches Mombasa he has to pay 5% of the initial cost to transport it to Nairobi.
(a) Given that on the day of this transaction the exchange rate was 1US Dollar = Ksh 76.60,
calculate the total cost of importing one tonne of rice up to Nairobi in Kenya Shillings
(b) Chepkurui intends to make a profit of 20%. Giving your answer to the nearsest ten cents,
calculate the price at which he must sell the rice per kilogram
(c) If on the day that he completes the sale of this import he changes the total collection back to
US Dollars at the rate of 1US Dollar = Ksh 78.20, calculate the actual profit that Chepkurui
realized correct to three decimal places
Date posted: June 19, 2019. Answers (1)
- A drapper bought some shirts and some trousers from a wholesaler Y at Sh.200 per
shirt and Sh.600 per trouser, spending a total of Sh.22, 000....(Solved)
A drapper bought some shirts and some trousers from a wholesaler Y at Sh.200 per
shirt and Sh.600 per trouser, spending a total of Sh.22, 000. If he had bought the same
items from wholesaler X, he would have paid 25% more for a shirt and 15% less for a
trouser and he would have spent Sh.700 more.
a) Write a simultaneous equation to represent the above information.
b) Determine the number of each item he bought
c) He sold all the items as a profit of 50% per shirt and 30% per trouser. Find the
total profit he made if he bought from wholesaler X.
d) Calculate to the nearest whole number, the percentage profit he made if he bought
from wholesale Y
Date posted: June 19, 2019. Answers (1)
- A farmer made a loss of 28% by selling a goat for Sh.1440. What percentage profit
would he have made if he had sold the goat...(Solved)
A farmer made a loss of 28% by selling a goat for Sh.1440. What percentage profit
would he have made if he had sold the goat for Sh.2100?
Date posted: June 19, 2019. Answers (1)
- A trader sold an article at sh.4800 after allowing his customer a 12% discount on the marked price of
the article. In so doing he made...(Solved)
A trader sold an article at sh.4800 after allowing his customer a 12% discount on the marked price of
the article. In so doing he made a profit of 45% .
a) Calculate
(i) the marked price of the article.
(ii) the price at which the trader had bought the article
b) If the trader had sold the same article without giving a discount. Calculate the percentage profit he
would have made.
c) To clear his stock, the trader decided to sell the remaining articles at a loss of 12.5% (Calculate the price at which he sold each article.
Date posted: June 19, 2019. Answers (1)