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The figure below is a cone whose base radius is 3.5cm and slant height 7cm. The net of the cone is a sector of a...
(Solved)
The figure below is a cone whose base radius is 3.5cm and slant height 7cm. The net of the cone is a sector of a circle.
(a) Find the angle subtended at the centre of the sector.
(b) Draw the net of the solid.
Date posted:
August 9, 2019
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Answers (1)
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In the year 2001, the price of a sofa set in a shop was Kshs. 12000
(Solved)
In the year 2001, the price of a sofa set in a shop was Kshs. 12000,
(a) Calculate the amount of money received from the sale of 240 sofa sets that year
(b) (i) In the year 2002, the price of each sofa set increased by 25% while the number of sets sold decreased by 10%. Calculate the percentage increase in the amount received from the sales
(ii) If at the end of year 2002 the price of each sofa set changed in the ratio 16:15. Calculate the price of each sofa set in the year 2003
(c) The number of sofa sets sold in the year 2003 was P% less than the number of sofa sets sold in the year 2001. Calculate the value of P given that the amount received from sale in the two years were equal
Date posted:
August 8, 2019
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Answers (1)
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A tangent from an external point A(7, 5) meets a circle centre O whose equation is
(Solved)
A tangent from an external point A(7, 5) meets a circle centre O whose equation is x2 + 4x + y2 – 5 = 0 at point T, find the length of the tangent AT
Date posted:
August 8, 2019
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Answers (1)
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The figure drawn below is a square ABCD of sides 36.75cm.
(Solved)
The figure drawn below is a square ABCD of sides 36.75cm. The shaded area is formed out of
two segments. DCB and DKB. Find the area of the shaded region.
Date posted:
August 8, 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:
August 8, 2019
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Answers (1)
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Express the number 1470 and 7056 each as a product of its prime factor.
(Solved)
Express the number 1470 and 7056 each as a product of its prime factor. Hence evaluate 
leaving the answer in prime factor form.
Date posted:
August 8, 2019
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Answers (1)
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Find the equation of the perpendicular bisector of the line segment passing through the points A(4,3) and B(2,7) in the form y=mx + c.
(Solved)
Find the equation of the perpendicular bisector of the line segment passing through the points A(4,3) and B(2,7) in the form y=mx + c.
Date posted:
August 7, 2019
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Answers (1)
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The frequency table below shows the marks scored by the 40 pupils in a mathematics test.
(a) State the modal mark.
(b) Calculate the mean mark....
(Solved)
The frequency table below shows the marks scored by the 40 pupils in a mathematics test.
(a) State the modal mark.
(b) Calculate the mean mark.
(c) Calculate the median mark.
Date posted:
August 7, 2019
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Answers (1)
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In the figure below, O is the centre of the circle. Angle AEB = 500, angle EBC = 800 and angle ECD = 300.
(Solved)
In the figure below, O is the centre of the circle. Angle AEB = 500, angle EBC = 800 and angle ECD = 300.
Giving reasons, calculate:
i) Angle CDE
ii) Angle DFE
iii) Obtuse Angle COE
iv) Angle ADE
Date posted:
August 7, 2019
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Answers (1)
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The volumes of two similar solids are 800cm3 and 2700cm3. If the surface area of the larger one is 2160cm2, find the surface area of...
(Solved)
The volumes of two similar solids are 800cm3 and 2700cm3. If the surface area of the larger one is 2160cm2, find the surface area of the smaller figure.
Date posted:
August 7, 2019
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Answers (1)
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The table below shows marks scored by students in a maths test.
(Solved)
The table below shows marks scored by students in a maths test.
a) Prepare a frequency distribution table from the above table.
b) i) State the modal class.
ii) Calculate the mean and the median.
c) Find the mark if the percentage pass was 
Date posted:
August 7, 2019
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Answers (1)
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The distance from a fixed point of a particle in motion at any time t seconds is given by
S = t3 – 5/2t2 + 2t...
(Solved)
The distance from a fixed point of a particle in motion at any time t seconds is given by
S = t3 – 5/2t2 + 2t + 5 metres
(a) Acceleration after t seconds
(b) Velocity when acceleration is zero.
Date posted:
August 7, 2019
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Answers (1)
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A Rhombus has its vertices as PQRS. The co-ordinates of the vertex P and Q of the rhombus are P(-1, 3) and Q (2, 4)....
(Solved)
A Rhombus has its vertices as PQRS. The co-ordinates of the vertex P and Q of the rhombus are P(-1, 3) and Q (2, 4). The diagonal QS and PR meet at point M. Given that the equation of the line PR is y = x + 4.
a) Find the equation of the diagonal QS.
b) Find the co-ordinates of the midpoint M of QS.
c) Find the co-ordinates of the points R and S.
d) Plot on the grid provided the rhombus PQRS.
Date posted:
August 7, 2019
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Answers (1)
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Given that Sin ?= 2/3 and ? is an acute angle, find without using tables or calculators
(a) tan ?, giving your answer in surd form....
(Solved)
Given that Sin θ= 2/3 and θ is an acute angle, find without using tables or calculators
(a) tan θ, giving your answer in surd form.
(b) Cos (90 - θ)
Date posted:
August 7, 2019
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Answers (1)
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An artisan has 63kg of metal of density 7000kg/m3. He intends to use it to make a rectangular pipe with external dimensions 12cm by 15cm...
(Solved)
An artisan has 63kg of metal of density 7000kg/m3. He intends to use it to make a rectangular pipe with external dimensions 12cm by 15cm and internal dimensions 10cm by 12 cm. Calculate the length of the pipe in metres.
Date posted:
August 7, 2019
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Answers (1)
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Two business men Achaki and Mkazi contributed Ksh. 128, 000 and Ksh. 112,000 respectively to start a business.
(Solved)
Two business men Achaki and Mkazi contributed Ksh. 128, 000 and Ksh. 112,000 respectively to start a business. They agreed to share the profits as follows;
30% shared equally
30% shared in ratio of contributors
40% retained for running business.
Their profit for the year 2008 was Ksh. 86, 400
Calculate.
a) The amount shared equally.
b) The total amount received by each partner
c) The amount retained for running the business.
Date posted:
August 7, 2019
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Answers (1)
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A cylindrical water tank can be filled to a depth of 2.1metres by a pipe P in 2 hrs. Pipe Q takes 7hrs to fill...
(Solved)
A cylindrical water tank can be filled to a depth of 2.1metres by a pipe P in 2 hrs. Pipe Q takes 7hrs to fill the tank to the same depth. Pipe R can empty this amount of water in 6hrs.
(a) i) Starting with an empty tank, P runs alone for one hour. How many centimeters deep will the water in the tank be?
ii) Having run for an hour in (i) above, Pipe P continues to run for additional 20 minutes after which it’s turned off. The remaining two pipes are left open with pipe R left to run for 4 hours while pipe Q runs for 2 hours. What will the depth of water in the tank be?
b) If the tank was initially 6.5m full and the three pipes are open, how long will it take to fill the tank such that only a third of the initial height of the tank remains empty?
Date posted:
August 7, 2019
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Answers (1)
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Using a ruler and a pair of compasses only, draw a parallelogram ABCD in which AB = 8cm, BC = 6cm and 0....
(Solved)
Using a ruler and a pair of compasses only, draw a parallelogram ABCD in which AB = 8cm, BC = 6cm and 0. Drop a perpendicular from D to meet AB at N. Determine the length DN.
Date posted:
August 7, 2019
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Answers (1)
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The figure below shows a solid made by placing two equal regular tetrahedra.
(Solved)
The figure below shows a solid made by placing two equal regular tetrahedra.
a) Draw the net of the solid.
b) If each face is an equilateral triangle of side 5cm. Find the surface area of the solid to 4 s.f
Date posted:
August 7, 2019
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Answers (1)
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Find the integral values of x which satisfy the following inequalities
(Solved)
Find the integral values of x which satisfy the following inequalities
2 (2 - x) < 4x – 9 < x + 11
Date posted:
August 7, 2019
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Answers (1)