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- Three grades A, B and C of rice were mixed in the ratio 3:4:5. The cost per kilogram of each of the grades A, B and C was Ksh 120, Ksh 90 and Ksh 60, respectively.
Three grades A, B and C of rice were mixed in the ratio 3:4:5. The cost per kilogram of each of the grades A, B and C was Ksh 120, Ksh 90 and Ksh 60, respectively.
Calculate the cost of one kilogram of the mixture.
Date posted: February 27, 2019
- The mass of a relative density bottle is 20g when empty,70g when full of water and 95g full of another liquid. Determine the density of the liquid X.
The mass of a relative density bottle is 20g when empty,70g when full of water and 95g full of another liquid. Determine the density of the liquid X.
Date posted: February 27, 2019
- When marking the fixed points on a thermometer, it is observed that at 00C, the mercury thread length is 1 cm and 6 cm at 1000C. What temperature would correspond to a length of 4 cm?
When marking the fixed points on a thermometer, it is observed that at 00C, the mercury thread length is 1 cm and 6 cm at 1000C. What temperature would correspond to a length of 4 cm?
Date posted: February 27, 2019
- An electric crane lifts a load of 2000 kg through a vertical distance of 3.0 m in 6s. Determine:
i)work done.
ii)power developed
iii)efficiency of the crane if it is operated by an electric motor rated 12.5 kw.
An electric crane lifts a load of 2000 kg through a vertical distance of 3.0 m in 6s. Determine:
i)work done.
ii)power developed
iii)efficiency of the crane if it is operated by an electric motor rated 12.5 kw.
Date posted: February 27, 2019
- A mass of 84kg has a weight of 420N on a certain planet. Calculate the acceleration due to gravity on this planet.
A mass of 84kg has a weight of 420N on a certain planet. Calculate the acceleration due to gravity on this planet.
Date posted: February 27, 2019
- A certain design of jaguar sports car is capable of accelerating from rest to a velocity of 30ms-1 in only 6s. Find the acceleration of the car, hence the distance traveled in the 6s.
A certain design of jaguar sports car is capable of accelerating from rest to a velocity of 30ms-1 in only 6s. Find the acceleration of the car, hence the distance traveled in the 6s.
Date posted: February 27, 2019
- A girl standing 220m from the foot of a high wall claps her hands and the echo reaches her 1.29 seconds
later. Calculate the velocity of sound in air using this observation.
A girl standing 220m from the foot of a high wall claps her hands and the echo reaches her 1.29 seconds
later. Calculate the velocity of sound in air using this observation.
Date posted: February 27, 2019
- A bus of mass 2500kg initially moving at 20m/s is brought to rest over a distance of 20m. Determine the force required to achieve this.
A bus of mass 2500kg initially moving at 20m/s is brought to rest over a distance of 20m. Determine the force required to achieve this.
Date posted: February 27, 2019
- Sea water of density 1.04g/cm3 is being pumped into a tank through a pipe of uniform Cross-sectional area of 3.142cm2. If the speed of water in the pipe is 5m/s, determine the Volume flux in S.I units.
Sea water of density 1.04g/cm3 is being pumped into a tank through a pipe of uniform Cross-sectional area of 3.142cm2. If the speed of water in the pipe is 5m/s, determine the Volume flux in S.I units.
Date posted: February 27, 2019
- A rugby player of mass 75kg, running east at 8.0 m/s, tackles another player of mass 90kg and who is running directly towards him at 5.0m/s. If the two players cling together, determine their common velocity.
A rugby player of mass 75kg, running east at 8.0 m/s, tackles another player of mass 90kg and who is running directly towards him at 5.0m/s. If the two players cling together, determine their common velocity.
Date posted: February 27, 2019
- Each member of a class take one and only one of the three foreign languages: French, Germany and Spanish. 15 pupils take French, 9 take Germany and 6 take Spanish.
Each member of a class take one and only one of the three foreign languages: French, Germany and Spanish. 15 pupils take French, 9 take Germany and 6 take Spanish.If two students are chosen at random.
i. Draw a tree diagram to represent the above information.
Hence, find:
ii. The probability that both students take French.
iii. The probability that both students take same subject.
Iv.The probability that both pupils take different subject
Date posted: March 1, 2019
- The line which joins A(3,k) and B(-2, 5) is parallel to the line whose equation is 5y + 2x = 7
Find the value of k
The line which joins A(3,k) and B(-2, 5) is parallel to the line whose equation is 5y + 2x = 7
Find the value of k
Date posted: March 1, 2019
- A pilot starts flying from city M to city P. Given that M (30°N, 70°E) and P (30°N, 20°W) taking pi = 22/7
and radius of the earth R = 6370 km,
A pilot starts flying from city M to city P. Given that M (30°N, 70°E) and P (30°N, 20°W) taking?? =3.14
and radius of the earth R = 6370 km, Calculate:
(a) the distance between city M and city P along the parallel of latitude.
(i) in km
(ii) in nm
b)The local time at city M if the local time at city P is 2030 hours.
(c) The position of city A if A is 5,700 nm south of P(Give your answer to the nearest whole number).
(d) The distance between A and K in nm given the position of K (65°S, 20°E).
Date posted: March 1, 2019
- A quantity P varies directly as R and inversely as the square root of Q. Find the percentage change in P
if R is increased by 40% and Q decreases by 36%.
A quantity P varies directly as R and inversely as the square root of Q. Find the percentage change in P
if R is increased by 40% and Q decreases by 36%.
Date posted: March 1, 2019
- The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
Date posted: March 1, 2019
- Given that log 3= 1.583 and log 5 = 2.322 evaluate without using table or calculator log 75.
Given that log 3= 1.583 and log 5 = 2.322 evaluate without using table or calculator log 75.
Date posted: March 1, 2019
- The distance s metres moved by a particle along a straight line after t seconds in motion is given by
s = 7 +8t2 – 2t3. Find the velocity at t = 2 sec.
The distance s metres moved by a particle along a straight line after t seconds in motion is given by
s = 7 +8t2 – 2t3. Find the velocity at t = 2 sec.
Date posted: March 1, 2019
- Kamau withdrew some money from the bank.
Date posted: March 1, 2019
- Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Date posted: March 1, 2019
- Kirui bought a suit for sh 1200 and marked it at a price such that after allowing his customer a 10%
discount, he would make a profit of 20%. Calculate the marked price of the suit.
Kirui bought a suit for sh 1200 and marked it at a price such that after allowing his customer a 10%
discount, he would make a profit of 20%. Calculate the marked price of the suit.
Date posted: March 1, 2019