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- A straight line passes through the points (8, -2) and (4, -4)(Solved)
A straight line passes through the points (8, -2) and (4, -4)
(a) Write its equation in the form ax + by + c = 0 where a, b and c are integers.
(b) If the line in (a) above cuts the x-axis at point, determine the coordinates of P.
(c) Another line which is perpendicular to the line in (a) above passes through point P and cuts the y-axis at the point
Q. Determine the coordinates of point Q.
(d) Find the length of QP
Date posted: May 7, 2019. Answers (1)
- The figure below shows a tumbler with diameters 6cm and 10cm and height 15cm.(Solved)
The figure below shows a tumbler with diameters 6cm and 10cm and height 15cm.
(a) If it is filled with water, what area is in contact with water?
(b) Find the volume of the tumbler.
Date posted: May 7, 2019. Answers (1)
- The table below shows measurements in metres, made by a surveyor in his field book. Calculate the area of the field in
hectares.(Solved)
The table below shows measurements in metres, made by a surveyor in his field book. Calculate the area of the field in
hectares.
Date posted: May 7, 2019. Answers (1)
- Given that y = -2x2 – 3x + 11(Solved)
Given that y = -2x2 – 3x + 11
(a) Complete the table below.
(b) On the grid provided, draw the graph of -2x2 – 3x + 11 for -4≤x≤3
(c) Use the graph to solve
(i)-2x2 – 3x + 11 = 0
(ii)-2x2 – 5x + 10 = 0
Date posted: May 7, 2019. Answers (1)
- 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. Answers (1)
- (a) Using a ruler and a pair of compasses only, construct triangle ABC where line AB = 5.5cm, line BC = 4.8cm and
line AC =...(Solved)
(a) Using a ruler and a pair of compasses only, construct triangle ABC where line AB = 5.5cm, line BC = 4.8cm and
line AC = 6.8cm, construct a circle through vertices A, B and C.
(b) Measure the radius of the circle.
(c) Measure the angle subtended at the centre of the circle by a chord AC.
Date posted: May 7, 2019. Answers (1)
- The table below shows the height measured to the nearest cm of 101 pawpaw trees.(Solved)
The table below shows the height measured to the nearest cm of 101 pawpaw trees.
(a) State the modal class.
(b) Calculate to 2d.p
(i) the mean height
(ii) the difference between the median height and the mean height.
Date posted: May 7, 2019. Answers (1)
- 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. Answers (1)
- The diagonals of a parallelogram are 20cm and 28.8cm. The angle between the diagonals is 620. Calculate the area of
the parallelogram.(Solved)
The diagonals of a parallelogram are 20cm and 28.8cm. The angle between the diagonals is 620. Calculate the area of
the parallelogram.
Date posted: May 7, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- The graph below shows frequency densities for the masses of some 200 students selected from a class. Use it to
answer the questions that follow.(Solved)
The graph below shows frequency densities for the masses of some 200 students selected from a class. Use it to
answer the questions that follow.
(a) Complete the frequency distribution table below.
(b) State the modal frequency.
Date posted: May 7, 2019. Answers (1)
- 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. Answers (1)
- Using tables of reciprocals only to find the value of(Solved)
Using tables of reciprocals only to find the value of
Date posted: May 7, 2019. Answers (1)
- In the figure below, points A, B, C and C lie on the circumference of a circle. angle ADC = 780 and line AB =...(Solved)
In the figure below, points A, B, C and C lie on the circumference of a circle. angle ADC = 780 and line AB = line BC.
Calculate angle BAC.
Date posted: May 7, 2019. Answers (1)
- A Kenyan tourist left America through South Africa. While in South Africa she bought a necklace worth 24 dollars.
Given that 1 rand = 0.15 dollars...(Solved)
A Kenyan tourist left America through South Africa. While in South Africa she bought a necklace worth 24 dollars.
Given that 1 rand = 0.15 dollars and 1 rand = 11.24 Kenya shillings, find the value of the necklace in
(a) South Africa rands
(b) Kenya shillings
Date posted: May 7, 2019. Answers (1)
- Simplify the expression;(Solved)
Simplify the expression;
Date posted: May 7, 2019. Answers (1)
- 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. Answers (1)
- A wire is bent into the shape shown below. BCE is a straight line and CDE is a semicircle radius 1m and centre O. Two
ants,...(Solved)
A wire is bent into the shape shown below. BCE is a straight line and CDE is a semicircle radius 1m and centre O. Two
ants, starting at the same time moved at equal speeds along the wire from points A and E respectively. How far from C
did they meet?
Date posted: May 7, 2019. Answers (1)
- Solve for x in the following
3(2x+1) + 32 = 3(x+3) + 3x(Solved)
Solve for x in the following
3(2x+1) + 32 = 3(x+3) + 3x
Date posted: May 7, 2019. Answers (1)