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The angles of elevation of the top of a tree form a point x on horizontal ground is 24.50. Rhoda moves 5 metres from x...
(Solved)
The angles of elevation of the top of a tree form a point x on horizontal ground is 24.50. Rhoda moves 5 metres from x towards the base of the tree and observes that the angle of elevation of the tree is now 33.20. Calculate the height of the tree to one decimal place.
Date posted:
August 16, 2019
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Answers (1)
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Given that OA = 3i – 2j + k and OB = 4i + j – 3k. Find the distance between points A and B.
(Solved)
Given that OA = 3i – 2j + k and OB = 4i + j – 3k. Find the distance between points A and B.
Date posted:
August 16, 2019
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Answers (1)
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In the figure shown below ABCD is a square of side 4cm. BXD and BYD are arcs of circle centres A and C respectively.Calculate the...
(Solved)
In the figure shown below ABCD is a square of side 4cm. BXD and BYD are arcs of circle centres A and C respectively.

Calculate the area of the shaded part.
Date posted:
August 16, 2019
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Answers (1)
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Nairobi and Mtito Andei are 240km apart. A bus left Nairobi at 9:00am and travelled towards Mtito Andei at 80km/hr. 45 minutes later, a car...
(Solved)
Nairobi and Mtito Andei are 240km apart. A bus left Nairobi at 9:00am and travelled towards Mtito Andei at 80km/hr. 45 minutes later, a car left Mtito Andei for Nairobi at a speed of 100Km/hr.Calculate the distance covered by the bus before meeting the car.
Date posted:
August 16, 2019
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Answers (1)
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P (5, -4) and Q (-1, -2) are points on a straight line. Find the equation of the perpendicular bisector of PQ giving your answer...
(Solved)
P (5, -4) and Q (-1, -2) are points on a straight line. Find the equation of the perpendicular bisector of PQ giving your answer in the form y = mx + c.
Date posted:
August 16, 2019
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Answers (1)
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A particle moves on a straight line. The velocity after to seconds is given by v = 3t2 – 6t – 8. The distance of...
(Solved)
A particle moves on a straight line. The velocity after to seconds is given by v = 3t2 – 6t – 8. The distance of the particle from the origin after one second is 10 metres. Calculate the distance of the particle from the origin after 2 seconds.
Date posted:
August 16, 2019
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Answers (1)
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Factorize completely 3x2 – 2xy-y2.
(Solved)
Factorize completely 3x2 – 2xy-y2.
Date posted:
August 16, 2019
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Answers (1)
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The angle of elevation of the top of a tower from a point x on the horizontal is 28.5.From another point y, 8 meters near...
(Solved)
The angle of elevation of the top of a tower from a point x on the horizontal is 28.5.From another point y, 8 meters near to the base of the tower, the angle of elevation of the top of the tower is 37.20. Calculate, to one decimal place, the height of the tower.
Date posted:
August 16, 2019
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Answers (1)
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Security light poles have been erected along both sides of a street in Ndhiwa town. The poles are 50m apart a long the...
(Solved)
Security light poles have been erected along both sides of a street in Ndhiwa town. The poles are 50m apart a long the left hand side of the road while they are 80m a part a long the right hand side. At one end of the road the poles are directly opposite each other. How many poles will be erected by the time the poles are directly opposite each other at the end of the road?
Date posted:
August 16, 2019
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Answers (1)
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One interior angle of a certain polygon is 840. If each of the other angles is 1470, how many sides does this polygon have?
(Solved)
One interior angle of a certain polygon is 840. If each of the other angles is 1470, how many sides does this polygon have?
Date posted:
August 16, 2019
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Answers (1)
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Two equal circles with centres O and Q and radius 8cm intersect at point A and B as shown below
Given that the distance between O...
(Solved)
Two equal circles with centres O and Q and radius 8cm intersect at point A and B as shown below

Given that the distance between O and Q is 12cm and that line AB meets OQ at X, find
(a) the length of chord AB
(b) the area of the shaded region
(c) the reflex angle AOB
Date posted:
August 16, 2019
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Answers (1)
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Easy coach bus left Nairobi at 8.00am and traveled towards Eldoret at an average speed of 80km/hr.8.00a.m a car left Eldoret towards Nairobi at an...
(Solved)
Easy coach bus left Nairobi at 8.00am and traveled towards Eldoret at an average speed of 80km/hr.8.00a.m a car left Eldoret towards Nairobi at an average speed of 120km/h.Given that the distance between Nairobi and Eldoret is 400km.Calculate
(a) the time the car arrived in Nairobi
(b) the time the two vehicles met
(c) the distance from Nairobi to the meeting point
(d) the distance of the bus from Eldoret when the car arrived in Nairobi
Date posted:
August 16, 2019
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Answers (1)
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Matrix P is given by(a) Find p-1 (b) Two institutes regions and Alphax purchased beans at sh.B per bag and maize at sh.M perbags. Regions...
(Solved)
Matrix P is given by

(a) Find p-1
(b) Two institutes regions and Alphax purchased beans at sh.B per bag and maize at sh.M per bag. Regions purchased 8 bags of beans and 14 bags of maize for sh. 47,600. Alphax
purchased 10 bags of beans and 16 bags of maize for sh. 57,400.
(i) form a matrix equation to represent the information above
(ii) Use the matrix p p-1 to find the prices of one bag of each item
(c) The price of bean later went up by 5% and that of maize remain constant. Regions bought the same quality of beans but spent the same total amount of money as before on the two items. State the new ratio of beans and maize.
Date posted:
August 16, 2019
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Answers (1)
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A bus travels from Nairobi to Kisumu a distance of 320 km at a speed of x km/hr.If the speed is reduced by 20km/hr the...
(Solved)
A bus travels from Nairobi to Kisumu a distance of 320 km at a speed of x km/hr.If the speed is reduced by 20km/hr the bus would take 48 minutes more.
(a) Form an equation to represent the given information and simplify it
(b) Find the speed of the bus
(c) Determine the time taken by the bus for the whole journey
(d) Another car is moving from Kisumu to Nairobi at a speed of 80km/h.Determine their relative speed.
Date posted:
August 16, 2019
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Answers (1)
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Calculate the area of the shaded segment of the circle given in the figure below.
(Solved)
Calculate the area of the shaded segment of the circle given in the figure below.

Date posted:
August 16, 2019
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Answers (1)
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Below is an equation of a straight line.
(i).Find the gradient of the line
(ii) Equation of a line passing through point (2,3) and parallel to...
(Solved)
Below is an equation of a straight line.

(i).Find the gradient of the line
(ii) Equation of a line passing through point (2,3) and parallel to the given line
Date posted:
August 16, 2019
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Answers (1)
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The 2nd 7th and 22nd terms of an arithmetic progression are the first three consecutive terms of a geometric progression. The 10th term of the...
(Solved)
The 2nd, 7th and 22nd terms of an arithmetic progression are the first three consecutive terms of a geometric progression. The 10th term of the arithmetic progression is 21 Determine:
a) The first term and the common difference of the A.P
b) The sum of the first six terms of the G.P
Date posted:
August 16, 2019
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Answers (1)
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A slaughter house bought a number of sheep at sh 1200 each and a number of oxen at sh 15000 each. They paid a total...
(Solved)
A slaughter house bought a number of sheep at sh 1200 each and a number of oxen at sh 15000 each. They paid a total amount of sh 135,000.lf they had bought twice as many sheep and three oxen less they would have saved sh 15000.
a) Find the number of each type of animals they bought.
b) The slaughter house sold all the animals at a profit of 30% per sheep and 35% per oxen.Determine the total profit they made.
Date posted:
August 16, 2019
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Answers (1)
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A student at a certain college has a 60% chance of passing an examination at the first attempt.Each time a student fails and repeats the...
(Solved)
A student at a certain college has a 60% chance of passing an examination at the first attempt.Each time a student fails and repeats the examination his chances of passing are increased by 15% Calculate the probability that a student in the college passes an examination at the second or at the third attempt.
Date posted:
August 16, 2019
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Answers (1)
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The line passing through the point C(-1,3t) and D (t,3) is parallel to the line whose equation is 2y – 3x = 9. Write down...
(Solved)
The line passing through the point C(-1,3t) and D (t,3) is parallel to the line whose equation is 2y – 3x = 9. Write down the coordinates of C and D.
Date posted:
August 16, 2019
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Answers (1)