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The table below shows marks scored by 40 students in a mathematics test
(Solved)
The table below shows marks scored by 40 students in a mathematics test

Calculate the median mark.
Date posted:
August 20, 2019
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Answers (1)
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A rectangular tank has a hole in it such that 11cm3 of water leaks out every 5 seconds.
(Solved)
A rectangular tank has a hole in it such that 11cm3 of water leaks out every 5 seconds. Using π as 3.142. Calculate:-
(i) The capacity of the water lost from the tank every hour.
(ii) The time it takes to till a cylindrical tank of radius 30cm and height 30cm into which the leaking water drains; in hours to 4 significant figures.
Date posted:
August 20, 2019
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Answers (1)
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Solve the equation 8x2 + 2x -3 = 0 hence solve the equation 8cos2y + 2cosy – 3 = 0 for the range 00 0
(Solved)
Solve the equation 8x2 + 2x -3 = 0 hence solve the equation 8cos2y + 2cosy – 3 = 0 for the range 00 0.
Date posted:
August 20, 2019
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Answers (1)
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The figure below represents a plot of land ABCD such that AB=85m, BC=75m, CD=60m, DA=50m and angle ACB = 900.
(Solved)
The figure below represents a plot of land ABCD such that AB=85m, BC=75m, CD=60m, DA=50m and angle ACB = 900. (Not drawn to scale).

Determine the area of the plot, in hectares, correct to two decimal places.
Date posted:
August 20, 2019
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Answers (1)
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A minibus covered a distance of 200km at an average speed of 100km/hr.
(Solved)
A minibus covered a distance of 200km at an average speed of 100km/hr. It traveled at a speed of 80km/hr for 3/5 of its journey. At what speed did it travel the remaining part of the journey.
Date posted:
August 20, 2019
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Answers (1)
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A test-tube consist of a cylinder and a hemisphere of the same radius; 282 cm3 of water is required to fill the whole tube...
(Solved)
A test-tube consist of a cylinder and a hemisphere of the same radius; 282 cm3 of water is required to fill the whole tube and 262cm3 is required to fill it at a level of 1cm3 below the top of the tube. Find the radius of the tube and the length of the cylindrical part.

Date posted:
August 20, 2019
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Answers (1)
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Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression leaving your answer in prime factor form.
(Solved)
Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression

leaving your answer in prime factor form.
Date posted:
August 20, 2019
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Answers (1)
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The distance from town A to town B is 360km. A bus left town A and traveled towards town B at an average speed of...
(Solved)
The distance from town A to town B is 360km. A bus left town A and traveled towards town B at an average speed of 60km/h. After 1½ hours, a car left town A and traveled along the same road at an average speed of 100km/h.
(a) Determine:
(i) The distance of the bus from town A when the car took off.
(ii) The distance the car traveled to catch up with the bus.
(b) The distance from P to Q is 160km. If an express train was 16km/h slower it would take 20 minutes longer on the journey. Find the average speed of the express train.
Date posted:
August 20, 2019
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Answers (1)
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A transformation represented by the matrix
(Solved)
A transformation represented by the matrix
maps the points A(0, 0), B(2, 0), C(2, 3) and D(0, 3) of the quad ABCD onto A¹B¹C¹D¹ respectively.
(a) Draw the quadrilateral ABCD and its image A¹B¹C¹D¹.
(b) Hence or otherwise determine the area of A¹B¹C¹D¹.
(c) Another transformation
maps A¹B¹C¹D¹ onto A¹¹B¹¹C¹¹D¹¹. Draw the image A¹¹B¹¹C¹¹D¹¹.
(d) Determine the single matrix which maps A¹¹B¹¹C¹¹D¹¹ back to ABCD.
Date posted:
August 20, 2019
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Answers (1)
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Two aeroplanes, T and S leave an airport A at the same time.
(Solved)
Two aeroplanes, T and S leave an airport A at the same time. S flies on a bearing of 0600 at 750km/h while T flies on a bearing of 2100 at 900 km/h.
(a) Use a suitable scale, to draw a diagram showing the relative position of the aeroplanes
after two hours.
(b) Use your diagram to determine:
(i) the distance between the two aeroplanes.
(ii) the bearing of T from S.
(c) Aeroplane T later flew to the East at the same speed for one hour. Show its final position
on the diagram in (a) above.
Determine:
(i) Its final distance from A.
(ii) Its final bearing from S.
Date posted:
August 20, 2019
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Answers (1)
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The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
measuring 6 cm by 8cm. The slant edges...
(Solved)
The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
measuring 6 cm by 8cm. The slant edges are each 26cm long.

Determine:
a) Height of the original pyramid.
b) Volume of the frustum.
c) Density in g/cm3 if the solid has a mass of 7.488kg
Date posted:
August 20, 2019
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Answers (1)
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The gradient of a curve at any point (x, y) is given by 3x² + 2x. If the curve passes through the point (-2, 1).
(Solved)
The gradient of a curve at any point (x, y) is given by 3x² + 2x. If the curve passes through the point (-2, 1). Find its equation.
Date posted:
August 20, 2019
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Answers (1)
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In the figure below O is the centre of a circle and PS is the diameter. QR is parallel to PS. If anglePSQ = 25o...
(Solved)
In the figure below O is the centre of a circle and PS is the diameter. QR is parallel to PS. If angle PSQ = 25o and angle POT = 120o.

a) Angle QRP
b) Angle PTO
c) Angle QPT
d) Angle QPS
c) Angle PTS
Date posted:
August 20, 2019
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Answers (1)
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Show that the points P(3, 4), Q(4, 3) and R(1, 6) are collinear.
(Solved)
Show that the points P(3, 4), Q(4, 3) and R(1, 6) are collinear.
Date posted:
August 20, 2019
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Answers (1)
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The mean of five numbers is 20. The mean of the first three numbers is 16.
(Solved)
The mean of five numbers is 20. The mean of the first three numbers is 16. The fifth number is greater than the fourth by 8. Find the fifth number.
Date posted:
August 20, 2019
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Answers (1)
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Solve the equation 2x² + 3x = 5 by completing the square method.
(Solved)
Solve the equation 2x² + 3x = 5 by completing the square method.
Date posted:
August 20, 2019
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Answers (1)
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Find the possible values of x in the equation 9x2 = 27(2x+ 12)
(Solved)
Find the possible values of x in the equation 9x2 = 27(2x+ 12)
Date posted:
August 20, 2019
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Answers (1)
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The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a).
(Solved)
The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a). Line PQ is parallel to AB and AP = 7 units.

(i) Find the value of a.
(ii) Write down the equation of PQ.
Date posted:
August 20, 2019
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Answers (1)
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In the figure below EFGH is a rhombus and DEF is a quilaterial triangle. Calculate ?HDG giventhat ?HED = 20o
(Solved)
In the figure below EFGH is a rhombus and DEF is a quilaterial triangle. Calculate ?HDG given that ?HED = 20o

Date posted:
August 19, 2019
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Answers (1)
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A parallelogram OACB is such that OA = a, OB = b.
(Solved)
A parallelogram OACB is such that OA = a, OB = b. D is the mid point of BC OE = hOC and AE = kAD.
(a) Express the following in terms of a, b, h and k.
(i) OC
(ii) OE
(iii) AD
(iv) AE
(b) Find the values of h and k.
(c) Determine the ratios:
(i) AE : ED
(ii) OE : OC
Date posted:
August 19, 2019
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Answers (1)