- A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the...(Solved)
A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the number formed when the digits are interchanged. Find the number.
Date posted: August 22, 2019. Answers (1)
- A bus service number 4 leaves a terminus every 15 minutes. Services 8 and 3 leaves after every 20 and 30 minutes respectively. If all...(Solved)
A bus service number 4 leaves a terminus every 15 minutes. Services 8 and 3 leaves after every 20 and 30 minutes respectively. If all the three services leave together at 6.00 am, what is the earliest time the three buses will leave together again?
Date posted: August 22, 2019. Answers (1)
- The figure below shows a circle centre O. Chord AB subtends 300 at the centre.(Solved)
The figure below shows a circle centre O. Chord AB subtends 300 at the centre. If the area of the minor segment is 5.25cm2, find the radius of the circle.
Date posted: August 22, 2019. Answers (1)
- Solve for X in the equation.(Solved)
Solve for X in the equation.
Date posted: August 22, 2019. Answers (1)
- The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the...(Solved)
The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the triangle.
Date posted: August 22, 2019. Answers (1)
- Mbom paid Kshs.160 for a blouse after getting a discount of 20%.(Solved)
Mbom paid Kshs.160 for a blouse after getting a discount of 20%.The vendor made a profit of 30% on the sale of this blouse. What percentage profit would the vendor have made if no discount was allowed?
Date posted: August 22, 2019. Answers (1)
- Find the equation of the perpendicular line that passes through the mid – point X of C( - 7 , 8) and
D ( 3...(Solved)
Find the equation of the perpendicular line that passes through the mid – point X of C( - 7 , 8) and
D ( 3 , - 8)
Date posted: August 22, 2019. Answers (1)
- Translation Q is represented by the column vector(Solved)
Translation Q is represented by the column vector 
and another translation R by
the column vector 
A point S is mapped onto a point T by Q and a point T is mapped into a point U by R.If point U is (8 , - 4) ,determine the co-ordinates of point S.
Date posted: August 22, 2019. Answers (1)
- Determine the quartile deviation of the following data 4,9,5,4,7,6,2,1,6,7,8,3(Solved)
Determine the quartile deviation of the following data 4,9,5,4,7,6,2,1,6,7,8,3
Date posted: August 22, 2019. Answers (1)
- Solve the following inequalities and represent the solution on a single number line.(Solved)
Solve the following inequalities and represent the solution on a single number line.
Date posted: August 22, 2019. Answers (1)
- Without using a calculator or tables, find the value of y given that y = (a+b) (x – c)2 and a = 5 , b...(Solved)
Without using a calculator or tables, find the value of y given that y = (a+b) (x – c)2 and a = 5 , b =6 ,x = -3 and c = 2.
Date posted: August 22, 2019. Answers (1)
- Without using tables or calculators, evaluate.(Solved)
Without using tables or calculators, evaluate.
Date posted: August 22, 2019. Answers (1)
- Find the value of x in the equation.(Solved)
Find the value of x in the equation.
Date posted: August 20, 2019. Answers (1)
- Solve for X in the equation.(Solved)
Solve for X in the equation.
Date posted: August 20, 2019. Answers (1)
- The diagram, which is not drawn to scale, shows an isosceles triangle ABC in which AB = AC. The
co-ordinates of A and B are...(Solved)
The diagram, which is not drawn to scale, shows an isosceles triangle ABC in which AB = AC. The
co-ordinates of A and B are (5, 6) and 0,-4) respectively.
Given that the equation of line BC is y = ¾ x – 4 and that the perpendicular from A to BC meet BC at D, find;
i) The equation of AD
ii) The co-ordinate of D
iii) The co-ordinate of C
iv) The area of the triangle ABC
Date posted: August 20, 2019. Answers (1)
- The figure shown below is a circumscribed circle with the chord AB = 6cm and chord AC = 5.5 cm. angle BAC = 52o and...(Solved)
The figure shown below is a circumscribed circle with the chord AB = 6cm and chord AC = 5.5 cm. angle BAC = 52o and O is the centre of the circle.
Calculate;
a) The length of the chord BC.
b) The radius of the circle centre O.
c) The area of the shaded region.
Date posted: August 20, 2019. Answers (1)
- A Nissan matatu left nakuru at 9.10am at an average speed of 56km/h towards eldoret.(Solved)
A Nissan matatu left nakuru at 9.10am at an average speed of 56km/h towards eldoret. A bus left Eldoret towards Nakuru at 10:10am travelling at an average speed of 70km/h. Given that the distance between Eldoret and Nakuru is 148km.
a) The time at which the matatu will meet the bus.
b) The distance from Eldoret to the meeting point
c) Another saloon car left Eldoret at 10.30am on the same day travelling towards Nakuru. If the car traveled at an average speed of 90km/hr. How long did it take the car to catch up with the bus?
Date posted: August 20, 2019. Answers (1)
- A spire stands directly across the street from a building. The angle of depression of the top of the building from the top of the...(Solved)
A spire stands directly across the street from a building. The angle of depression of the top of the building from the top of the spire is 25.8o and the angle of elevation of the top of the spire from the foot of the building is 43.5o. Given that the distance between the spire and the building is 40m, calculate to 2dp.
a) The height of the spire
b) The difference in height between the spire and the building
c) The height of the building
d) The angle of elevation of the top of the building from the foot of the spire
Date posted: August 20, 2019. Answers (1)
- A frustum of a cone is such that one of its ends is hemispherical with a radius of 21cm and the other top end is...(Solved)
A frustum of a cone is such that one of its ends is hemispherical with a radius of 21cm and the other top end is circular with a radius of 10.5cm .The perpendicular distance between the centres of the circular parts is 20cm. Find;
(a) The slant length of the original cone.
(b) The slant length of the frustum.
(c) The surface area of the frustum.
Date posted: August 20, 2019. Answers (1)
- The co-ordinates of the vertices of rectangle P Q R S are P(1,1) Q(6,1) R(6,4) and S(1,4)(Solved)
The co-ordinates of the vertices of rectangle P Q R S are P(1,1) Q(6,1) R(6,4) and S(1,4)
a) i) Find the co-ordinates of the vertices of its image P1Q1R1S1 under the transformation defined by 
ii) Draw the object and its image on the graph paper.
iii) On the same grid draw the image P11Q11R11S11 of P1Q1R1S1 under the matrix given by 
b) Find a single matrix which will map P Q R S to P11Q11R11S11
Date posted: August 20, 2019. Answers (1)