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A bus left Kisumu at 9.30 a.m towards Nairobi at an average speed of 81km/h. A matatu left Nairobi at 10.10 a.m at
average speed of...
(Solved)
A bus left Kisumu at 9.30 a.m towards Nairobi at an average speed of 81km/h. A matatu left Nairobi at 10.10 a.m at
average speed of 72km/hr. The distance between Kisumu and Nairobi is 3600km.
(a) Determine:
(i) the time taken before the two vehicles meet
(ii) the distance between the two vehicles 40 minutes after meeting
(b) A car left Kisumu towards Nairobi at 9.50 a.m at an average speed of 90km/h.
Determine
(i) the time when the car caught up with the bus
(ii) the distance of Nairobi from place where the car caught up with the bus.
Date posted:
May 7, 2019
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Answers (1)
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The diagram below shows a crescent formed by two circles of radii 3cm and 5cm, centres A and B respectively.
(Solved)
The diagram below shows a crescent formed by two circles of radii 3cm and 5cm, centres A and B respectively.
Calculate the area of the shaded region if it subtends and angle of 600 at centre B.
Date posted:
May 7, 2019
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Answers (1)
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An irregular 6 sided polygon has 2 of its interior angles equal to 2x each, 3 angles equal to x each and the remaining one...
(Solved)
An irregular 6 sided polygon has 2 of its interior angles equal to 2x each, 3 angles equal to x each and the remaining one equal to 200. Calculate the value of x.
Date posted:
May 7, 2019
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Answers (1)
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Given that tan x0 =3/7,find Cos (90 – x)0 giving your answer to 4 significant figures.
(Solved)
Given that tan x0 =3/7,find Cos (90 – x)0 giving your answer to 4 significant figures.
Date posted:
May 7, 2019
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Answers (1)
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The volumes of two similar cylinders are 4752cm3 and 1408cm3.If the area of the curved surface of the smaller cylinder is 352cm2, find the area...
(Solved)
The volumes of two similar cylinders are 4752cm3 and 1408cm3.If the area of the curved surface of the smaller cylinder is 352cm2, find the area of the curved surface of the larger cylinder.
Date posted:
May 7, 2019
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Answers (1)
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15 men working 4 hours a day can do a job for 20 days. How long does it take 10 men working 5 hours a...
(Solved)
15 men working 4 hours a day can do a job for 20 days. How long does it take 10 men working 5 hours a day to do the
same job.
Date posted:
May 7, 2019
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Answers (1)
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Otieno bought a second hand car and later sold it through a sales agent who charges 7 ½ % commissions on the price
of the car....
(Solved)
Otieno bought a second hand car and later sold it through a sales agent who charges 7 ½ % commissions on the price
of the car. He received sh. 222,000 from the agent after the tatter had deducted his commission .Otieno incurred a loss
of 25% on the price at which he had bought the car.
a) Calculate the price at which the agent sold the car.
b) Find the price at which Otieno had bought the car
c) If the amount otieno paid for the car was 26% less than the price of the new car, calculate the price of the new car to
the nearest cent.
d) Express as a percentage the amount Otieno received for his car to its price when new.
Date posted:
May 7, 2019
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Answers (1)
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The position of two satellite station A and B on the earth’s surface are (360N, 500E) and ( 360N, 1300W) respectively .( use ?? =...
(Solved)
The position of two satellite station A and B on the earth’s surface are (360N, 500E) and ( 360N, 1300W) respectively .( use 𝜋 = 3.142 and R = 6400KM)
a) Find the distance along the small circle in km.
b) Find the shortest distance between A and B in nm
c) If time A is 1700hrs, calculate the time at B in 12 hrs system.
Date posted:
May 7, 2019
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Answers (1)
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OABC is a trapezium in which OA = a and AB = b. AB is parallel to OC with 2AB = OC. T is a...
(Solved)
OABC is a trapezium in which OA = a and AB = b. AB is parallel to OC with 2AB = OC. T is a point on OC produced sothat OC: CT = 2:1. AT and BC intersect at X. So that BX = hBC and AX = kAT
a) Express the following in terms a and b.
i) OB
ii) BC
b) Express CX in terms of a, b, and h.
c) Express CX in terms of a, b, and k.
d) Hence calculate the values of h and k
Date posted:
May 7, 2019
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Answers (1)
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Find the equation of the normal to the curve y = 3x2 - 8x+5 at the point where x = 2 in the form ax...
(Solved)
Find the equation of the normal to the curve y = 3x2 - 8x+5 at the point where x = 2 in the form ax + by = c
Date posted:
May 7, 2019
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Answers (1)
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The quantities P and Q are such that P varies partly as Q and partly as the square of Q. When q = 60 and...
(Solved)
The quantities P and Q are such that P varies partly as Q and partly as the square of Q. When q = 60 and when Q = 3, P
= 105.
a) Write the equation connecting P and Q.
b) Find the value of P when Q = 5
Date posted:
May 7, 2019
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Answers (1)
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a) Expand (1 – 2x)6 upto to the fourth term.
(Solved)
a) Expand (1 – 2x)6 upto to the fourth term.
b) Use the expansion in (a) above to find the value of (0.98)6 correct to 4 significant figures.
Date posted:
May 7, 2019
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Answers (1)
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The base and the height of a right angled triangle were measured as 4.34 cm and 8.25 cm respectively.Calculate the percentage error in the area...
(Solved)
The base and the height of a right angled triangle were measured as 4.34 cm and 8.25 cm respectively.Calculate the percentage error in the area of the triangle.
Date posted:
May 7, 2019
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Answers (1)
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Solve for x in the equation. Sin (2x – 10)0 = -0.5 for 00= x= 3600
(Solved)
Solve for x in the equation. Sin (2x – 10)0 = -0.5 for 00≤ x≤ 3600
Date posted:
May 7, 2019
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Answers (1)
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A point divides line PQ in the ratio 3: -2. Given that P = 2i -3j + k and Q = 3i -4j – 3k...
(Solved)
A point divides line PQ in the ratio 3: -2. Given that P = 2i -3j + k and Q = 3i -4j – 3k find the coordinates of T.
Date posted:
May 7, 2019
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Answers (1)
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Make x the subject of the formula
(Solved)
Make x the subject of the formula
Date posted:
May 7, 2019
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Answers (1)
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In the figure below, AT and AD are tangents to the circle at B and D respectively. DEF is a straight line, < ?????? =...
(Solved)
In the figure below, AT and AD are tangents to the circle at B and D respectively. DEF is a straight line, < 𝐶𝐵𝑇 = 600, 0 and < ADF = 420
Calculate giving reasons, the value of:
a) < DCE
b) c) d) e)
Date posted:
May 6, 2019
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Answers (1)
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A pole stands directly across the street from a building. The angle of depression of the top of the building from the top
of the pole...
(Solved)
A pole stands directly across the street from a building. The angle of depression of the top of the building from the top
of the pole is 24.50 and the angle of elevation of the top of the pole from the foot of the building is 48.60. Given that the
distance between the pole and the building is 50 m, calculate to 2 decimal places.
a) the height of the pole
b) the difference in height between the pole and the building.
c) the height of the building.
d) the angle of elevation of the top of the building from the top of the pole.
Date posted:
May 6, 2019
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Answers (1)
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A triangular plot PQR is such that PQ = 72m, QR = 80m and PR = 84m
(Solved)
A triangular plot PQR is such that PQ = 72m, QR = 80m and PR = 84m
calculate.
i) the area of the plot in square metres
ii) the largest angle in the triangle
iii) The perpendicular height from P to the side QR
Date posted:
May 6, 2019
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Answers (1)
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The velocity of a particle moving in a straight line after t seconds is given by V = 2t2 – t-6m/s. calculate
(Solved)
The velocity of a particle moving in a straight line after t seconds is given by V = 2t2 – t-6m/s. calculate
a) the acceleration of particle after 2 seconds
b) the distance covered during the third second.
c) the time when the particle will be momentarily at rest.
d) the minimum velocity attained.
Date posted:
May 6, 2019
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Answers (1)