-
Town B is 180km on a bearing 0500 from town A. Another town C is on a bearing of 1100 from town A and on...
(Solved)
Town B is 180km on a bearing 0500 from town A. Another town C is on a bearing of 1100 from town A and on a bearing of 1500 from town B. A fourth town D is 240 km on a bearing of 3200 from A. Using scale drawing, such that 1cm rep 30km,
(a) Show the relative position of the towns
(b) Using the diagram, find
(i) Distance AC
(ii) Distance CD
(iii) Compass bearing of C from D
Date posted:
November 5, 2019
.
Answers (1)
-
Nairobi and Eldoret are 600km apart. At 9.20a.m. a lorry leaves Eldoret for Nairobi at a speed of 60km/hr. At 10.00a.m. a car leaves Eldoret...
(Solved)
Nairobi and Eldoret are 600km apart. At 9.20a.m. a lorry leaves Eldoret for Nairobi at a speed of 60km/hr. At 10.00a.m. a car leaves Eldoret for Nairobi at a speed of 120km/hr. After 20 minutes of travel, the car develops a mechanical problem which takes 20 minutes to repair. The car then proceeds with the journey at the same speed.
(a) Calculate the time the lorry arrived in Nairobi
(b) Find the time when the car overtakes the lorry
(c) Find the distance from Nairobi at the overtaking point
(d) Calculate how far the lorry was from Eldoret when the car reached Nairobi
Date posted:
November 5, 2019
.
Answers (1)
-
The figure below shows a square based pyramid on top of a cuboid
(a) Draw the net of the solid
(b) Calculate the total surface area...
(Solved)
The figure below shows a square based pyramid on top of a cuboid
(a) Draw the net of the solid
(b) Calculate the total surface area of the net.
Date posted:
November 5, 2019
.
Answers (1)
-
Evaluate ; 36x-1 + 62x - 222 = 0
(Solved)
Evaluate ; 36x-1 + 62x - 222 = 0
Date posted:
November 5, 2019
.
Answers (1)
-
The sum of interior angles of a triangle is given by (10x -2y)0 while that of a hexagon is given by (30x + 24y)0. Calculate...
(Solved)
The sum of interior angles of a triangle is given by (10x -2y)0 while that of a hexagon is given by (30x + 24y)0. Calculate the values of x and y.
Date posted:
November 5, 2019
.
Answers (1)
-
The ratio of goats to cows in a farm is 2:5 while the ratio of sheep to cows is 3:4. If there are 15 sheep,...
(Solved)
The ratio of goats to cows in a farm is 2:5 while the ratio of sheep to cows is 3:4. If there are 15 sheep, how many animals are there in the farm.
Date posted:
November 5, 2019
.
Answers (1)
-
Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the...
(Solved)
Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the equation V = 3t2 -15t + 18.
Find
a) The values of t for which P is instantaneously at rest.
b) An expression in terms of t for the distance P from O after t seconds.
c) The total distance traveled by P in the first 4 seconds after passing point O.
d) The distance P from O when the acceleration of P is zero.
Date posted:
November 5, 2019
.
Answers (1)
-
The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7....
(Solved)
The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7. If we do not host the probability of winning soccer is 0.4. If we win soccer the probability of winning rugby is 0.8, otherwise if we lose the probability of winning rugby is 0.3.
a) Draw a tree diagram to represent this information.
b) Use the tree diagram to find:-
i) The probability that we will lose both games.
ii) The probability that we will win only one game.
iii) The probability that we will host and lose both games.
Date posted:
November 5, 2019
.
Answers (1)
-
The table below shows income tax rates
a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is...
(Solved)
The table below shows income tax rates
a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is deducted from his total earnings in form of income tax. Calculate Mr. Juma’s taxable income in Ksh per month.
b) Mr. Juma other deductions include:
5% of basic salary as cooperative shares
2% of basic salary as WCPS
Insurance policy Ksh 2800
Co-operative shares Ksh 1500
Given that his taxable allowances is Ksh 28400, calculate his net pay.
Date posted:
November 5, 2019
.
Answers (1)
-
The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11.
Determine the quartile deviation of...
(Solved)
The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11.
Determine the quartile deviation of the data.
Date posted:
November 5, 2019
.
Answers (1)
-
A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments...
(Solved)
A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments of sh. 1250 each. Calculate the rate of interest per annum.
Date posted:
November 5, 2019
.
Answers (1)
-
A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are...
(Solved)
A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are as follows: there is to be a down payment of 10% of the cash price and the rest of the money to be paid through a loan of 10% per annum compound interest.
A customer decided to buy the house through a loan.
a) i) Calculate the amount of money loaned to the customer.
ii) The customer paid the loan in 3 years.
Calculate the total amount paid for the house.
b) Find how long the customer would have taken to fully pay for the house if she paid a total of Kshs 891,750.
Date posted:
November 5, 2019
.
Answers (1)
-
A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres.
b) Six members...
(Solved)
A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres.
b) Six members of a family use 15 litres each per day. Each day 80 litres are used for cooking and washing and a further 60 litres are wasted.
Find the number of complete days a full tank of water would last the family.
c) members of the family were absent for 90 days. During the 90 days, wastage was reduced by 20% but cooking and washing remained the same. Calculate the number of days a full tank would now last the family.
Date posted:
November 5, 2019
.
Answers (1)
-
In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX...
(Solved)
In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX = 3 cm.
a) Calculate the length of AX.
b) The area of ΔABX is 6cm2. Calculate the area of ΔCXD.
Date posted:
November 5, 2019
.
Answers (1)
-
Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.
(Solved)
Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.
Date posted:
November 5, 2019
.
Answers (1)
-
Use logarithms to evaluate
(Solved)
Use logarithms to evaluate
Date posted:
November 5, 2019
.
Answers (1)
-
A bus left town A at 5:20am to town B 610km away at an average speed of 60km/hr. After 3 hrs 10 minutes, a van...
(Solved)
A bus left town A at 5:20am to town B 610km away at an average speed of 60km/hr. After 3 hrs 10 minutes, a van left town B and travelled towards A at an average speed of 80km/hr.
(a) (i) At what time did they meet
(ii) How far from A was the meeting point
b) A car left town B at 9:00am and travelled towards A at an average speed of 100km/hr.
Determine
(i) The time the car caught up with the van
(ii) The distance the car travelled to catch up with the van.
Date posted:
November 2, 2019
.
Answers (1)
-
Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent...
(Solved)
Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent who deals in Japanese yen. The agent will charge him 20% commission on the price of the car and a further 80325 Japanese yen for shipment of the car. How many Kshs will he need to send to the agent to get the car given that
1 US $ = 105.00 Japanese yen
1 US $ = KShs 63.00
Date posted:
November 1, 2019
.
Answers (1)
-
Three quantities P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
a)Given...
(Solved)
Three quantities P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
a)Given that P = 20 when Q = 5 and R = 9. Find P when Q = 7 and R = 25
b)If Q increased by 20% and R decreased by 36%, find the percentage change in P
Date posted:
October 30, 2019
.
Answers (1)
-
a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at...
(Solved)
a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at sh.240 per kg.
i)Find the percentage profit
ii)In what ratio should the two blends be mixed to get a mixture that costs sh.148 per kg
b)A quantity P is partly constant and partly varies as the cube of Q. when Q = 2, P = 50 and when Q =4, P =330. Find the value of Q when P= 16885
Date posted:
October 30, 2019
.
Answers (1)