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- A two digit number is such that the sum of the digits is 15. When the digits are reversed the new number formed is more than the original number by 27.
Find the number
A two digit number is such that the sum of the digits is 15. When the digits are reversed the new number formed is more than the original number by 27.
Find the number
Date posted: February 27, 2019
- The G.C.D of two numbers is 18 and their L.C.M is 630. If one of the numbers is 126, find the other number
The G.C.D of two numbers is 18 and their L.C.M is 630. If one of the numbers is 126, find the other number
Date posted: February 27, 2019
- The interior angle of regular polygon exceeds the exterior angle by 135o. Find the number sides of the polygon.
The interior angle of regular polygon exceeds the exterior angle by 135o. Find the number of sides of the polygon.
Date posted: February 27, 2019
- Wambua saves 1,040 shillings in the first year of his employment and each year afterwards saves 145 more than the preceding year.
Wambua saves 1,040 shillings in the first year of his employment and each year afterwards saves 145 more than the preceding year. How much will she have saved by the time he retires in 30 years time?
Date posted: February 27, 2019
- Find the distance between the centre A of a circle whose equation is
2x2 + 2y2 + 6x + 10y + 7 = 0 and the point B(–4, 1).
Find the distance between the centre A of a circle whose equation is
2x2 + 2y2 + 6x + 10y + 7 = 0 and the point B(–4, 1).
Date posted: February 27, 2019
- 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