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Given that point A(2,4) and B(8, -4) , find the equation of the perpendicular bisector of line AB.
(Solved)
Given that point A(2,4) and B(8, -4) , find the equation of the perpendicular bisector of line AB.
Date posted:
August 13, 2019
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Answers (1)
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In the figure below, 0 is the centre of the circle. PQ and PR are tangents to the circle at P and R respectively Angle...
(Solved)
In the figure below, 0 is the centre of the circle. PQ and PR are tangents to the circle at P and R respectively Angle PQS = 400 and angle PRS 30° RTU is a straight line.

Find with reasons the angles
i) QRS
ii) RTQ
iii) RPQ
iv) Reflex angle QOR
v) TRO given that TR =TQ
Date posted:
August 13, 2019
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Answers (1)
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The vertices of triangle PQR are P(O,O), Q(6 0) and R(2,4)
a) Plot these points on the grid provided.
b) Triangle P1Q1R1 is the image of a...
(Solved)
The vertices of triangle PQR are P(O,O), Q(6 0) and R(2,4)
a) Plot these points on the grid provided.
b) Triangle P1Q1R1 is the image of a triangle PQR under an enlargement scale factor ½ and centre (2,2). Write down the coordinates of triangle P1Q1R1 and plot on the
same grid.
c) Draw triangle P11Q11R11 the image of triangle P1Q1R1 under a positive quarter turn about the point (1,1)
d) Draw a triangle P111Q111R111 the image of triangle P11Q11R11 under reflection in the line y = l.
e).Describe fully a single transformation which maps triangle P11Q11R11 onto triangle P1Q1R1.
Date posted:
August 13, 2019
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Answers (1)
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Find the co-ordinates of the point Q which divides the line PR in ratio 3 :2 given the co – ordinates of P and R...
(Solved)
Find the co-ordinates of the point Q which divides the line PR in ratio 3 :2 given the co – ordinates of P and R are ( 3,-1) and ( 4,3) respectively.
Date posted:
August 13, 2019
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Answers (1)
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The positions vectors of point A and B are a and b respectively. C is another point with Positions vector c = 3/2 b –...
(Solved)
The positions vectors of point A and B are a and b respectively. C is another point with Positions vector c = 3/2 b – ½ a.
Express in terms of a and b
i) Vector AC,AB. Hence show that A,B and C are collinear
ii) Determine the ratio A B:BC
Date posted:
August 13, 2019
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Answers (1)
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If P,Q and R are the points (2,-4), (4,0) and (1,6) respectively. Use the vector method to find the co-ordinates of points S given that...
(Solved)
If P,Q and R are the points (2,-4), (4,0) and (1,6) respectively. Use the vector method to find the co-ordinates of points S given that PQRS is a Parallelogram
Date posted:
August 13, 2019
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Answers (1)
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The position vector S of points A and B are a and b respectively. Determine the modulus of AB if a = 2i + 4j +...
(Solved)
The position vector S of points A and B are a and b respectively. Determine the modulus of AB if a = 2i + 4j + 3k and b= 2i+3j
Date posted:
August 13, 2019
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Answers (1)
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Deduce the value of tan 54° from this result
(Solved)
From a mathematical experiment it was found out that
Deduce the value of tan 54° from this result leaving your answer in the form
where a, b and c are integers.
Date posted:
August 13, 2019
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Answers (1)
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Find the distance in nautical miles between two places on the northern hemisphere with positions N (60°N, 18°E) and M (60°N, 102°W) along the parallel...
(Solved)
Find the distance in nautical miles between two places on the northern hemisphere with positions N (60°N, 18°E) and M (60°N, 102°W) along the parallel of latitude.
Date posted:
August 13, 2019
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Answers (1)
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Graham’s money-box contains only sh. 5 coins and sh. 10 coins. There are 24 coins and their total value is sh. 150. Find how many...
(Solved)
Graham’s money-box contains only sh. 5 coins and sh. 10 coins. There are 24 coins and their total value is sh. 150. Find how many of each kind of coins there are in the box.
Date posted:
August 13, 2019
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Answers (1)
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A father was three time as old as his son fifteen years ago and four times as old as his son nineteen years ago. When...
(Solved)
A father was three time as old as his son fifteen years ago and four times as old as his son nineteen years ago. When was the father twice as old as the Son?
Date posted:
August 13, 2019
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Answers (1)
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A two digit number is such that the difference between the ones digit and the tens digit is 2.If the two digits are interchanged, the...
(Solved)
A two digit number is such that the difference between the ones digit and the tens digit is 2. If the two digits are interchanged, the sum of the new and the original number is 132. Find the original number.
Date posted:
August 13, 2019
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Answers (1)
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In the figure below, AC is an arc of a circle centre B, angle ABD = 600, AB =BC=7cm and CD=5cm. If AE is parallel...
(Solved)
In the figure below, AC is an arc of a circle centre B, angle ABD = 600, AB =BC=7cm and CD=5cm. If AE is parallel to BD and AB is parallel to ED. Calculate the area of the shaded region.

Date posted:
August 13, 2019
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Answers (1)
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A right angled isosceles triangle has area of 4 square units. Find the perimeter of the triangle leaving your answer in surd form.
(Solved)
A right angled isosceles triangle has area of 4 square units. Find the perimeter of the triangle leaving your answer in surd form.
Date posted:
August 13, 2019
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Answers (1)
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A cylindrical iron pipe is 2.1 m long and 12cm in external diameter, the metal is 1cm thickand its density is 7.8 g/cm3. Taking pie...
(Solved)
A cylindrical iron pipe is 2.1 m long and 12cm in external diameter, the metal is 1cm thick and its density is 7.8 g/cm3. Taking pie as 22/7 find its mass.
Date posted:
August 13, 2019
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Answers (1)
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The gradient of the of the curve y = ax2 +bx at the origin is equal to 8. Find the value of a and b...
(Solved)
The gradient of the of the curve y = ax2 +bx at the origin is equal to 8. Find the value of a and b if the curve has a maximum turning point at x = 4
Date posted:
August 13, 2019
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Answers (1)
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A circular path of width 14 metres surrounds a field of diameter 70 metres.
(Solved)
A circular path of width 14 metres surrounds a field of diameter 70 metres. The path is to be
carpeted and the field to have a concrete slab with an exception of four rectangular holes each
measuring 4 metres by 3 metres. A contractor estimated the cost of carpeting the path at sh. 300
per square metre and the cost of putting the concrete slab at sh. 400 per square metre. He then
made a quotation which was 15% more than the total estimate. After completing the job, he
realizes that 20% of the quotation was not spent.
(a) How much money was not spent?
(b) Find the actual cost of the contract
Date posted:
August 13, 2019
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Answers (1)
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A cone is made by cutting off a sector as shown below from a circle and gluing the straight edges
of the sector. The cone formed...
(Solved)
A cone is made by cutting off a sector as shown below from a circle and gluing the straight edges
of the sector. The cone formed has slant height 14cm and circular base of perimeter 11cm

(a) Calculate the value of theta
(b) The radius of the cone’s circular base
(c) The height of the cone.
(d) The cone is cut uniformly on a horizontal plane 1cm below the apex. Calculate the slant
height of the frustum so formed correct to 2 decimal places.
Date posted:
August 13, 2019
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Answers (1)
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On some day, Mr. Makori bought some oranges worth ksh. 45. On another day of the same week, Mrs Makori spent the same amount of...
(Solved)
On some day, Mr. Makori bought some oranges worth ksh. 45. On another day of the same week, Mrs Makori spent the same amount of money but bought the oranges at a discount of 75 cents per orange.
(a) If Mr. Makori bought an orange at sh x, write down a simplified expression for the total number of oranges bought by the two in the week.
(b) If Mrs. Makori bought 2 oranges more than her husband, find how much each spent on an orange.
(c) Find the number of oranges bought for the family that week.
Date posted:
August 13, 2019
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Answers (1)
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Two circles with centres O1 and O2, have radii 7cm and 6cm respectively.
(Solved)
Two circles with centres O1 and O2, have radii 7cm and 6cm respectively. The two circles intersect at P and Q and the length of the common chord PQ is 10cm.

Calculate the area of the shaded region in the above diagram to 4 significant figures.
Date posted:
August 13, 2019
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Answers (1)