- In the figure below ABCDE is a pentagon inscribed in a circle. CX is a tangent to the circle at C and EDX is a...(Solved)
In the figure below ABCDE is a pentagon inscribed in a circle. CX is a tangent to the circle at C and EDX is a straight line. Angle ADE = 340, angle CAD = 420, AB = BC and BC is parallel to AD. Giving reasons, determine
(a) (i) Angle ABC
(ii) Angle ACD
(iii) Angle EAD
(iv) Angle CXD
(b) Given that ED = 5cm, DX = 4cm, calculate the length of CX
Date posted: August 7, 2019. Answers (1)
- The figure below shows two circles intersecting at C and D. The centres are A and B with radii 8cm and 6cm respectively. AB =...(Solved)
The figure below shows two circles intersecting at C and D. The centres are A and B with radii 8cm and 6cm respectively. AB = 10cm.
Determine
(i) Size of angle DAC
(ii) Size of angle DBC
(iii) Area of sector ACMD
(iv) Area of the shaded region
Date posted: August 7, 2019. Answers (1)
- Construct a parallelogram ABCD in which AB = 8.5cm, AD = 6cm and angle BAD = 750.(Use a ruler and pair of compasses only in...(Solved)
Construct a parallelogram ABCD in which AB = 8.5cm, AD = 6cm and angle BAD = 750.(Use a ruler and pair of compasses only in this question)
(a) Measure the length of AC
(b) On the same diagram, construct
(i) a perpendicular from B to line AD at M. Measure BM. Hence calculate the area of the parallelogram ABCD.
(ii) The locus of a point x which moves such that it is equidistant from A and C
(iii) The locus of point Y which moves such that angle BYD = 900
Date posted: August 7, 2019. Answers (1)
- A plastic water tank has a shape as shown below, with a frustrum of a cone on top, a cylindrical body and a hemispherical bottom.
(a)...(Solved)
A plastic water tank has a shape as shown below, with a frustrum of a cone on top, a cylindrical body and a hemispherical bottom.
(a) Calculate
(i) The volume of the tank in m3.
(b) A filler pipe takes 3 hours to fill a third of the tank. If the tank is already ¼ full, at what time will the filler pipe fill the tank if the pipe is opened at 9.00 a.m.
(c) A particle falls in the tank. If its chances of being in any part of the tank are equally likely, find the probability of it being in the hemispherical part.
Date posted: August 7, 2019. Answers (1)
- The figure below represents a school field.
Find the length of AB given that angle BAD and angle CBD are right angles.(Solved)
The figure below represents a school field.
Find the length of AB given that angle BAD and angle CBD are right angles.
Date posted: August 7, 2019. Answers (1)
- Solve for x in the equation(Solved)
Solve for x in the equation
Date posted: August 7, 2019. Answers (1)
- The interior angle of a regular polygon is 9 times the exterior angle. How many sides does the
polygon have?(Solved)
The interior angle of a regular polygon is 9 times the exterior angle. How many sides does the
polygon have?
Date posted: August 7, 2019. Answers (1)
- The figure below shows a net of a circular cone with a lid. Given that angle AOB = 1500 and OA = 14cm.
Determine
(a) The radius...(Solved)
The figure below shows a net of a circular cone with a lid. Given that angle AOB = 1500 and OA = 14cm.
Determine
(a) The radius of the base of the cone
(b) The total surface area of the cone
Date posted: August 7, 2019. Answers (1)
- From a survey carried out the following information was entered in a field book(Solved)
From a survey carried out the following information was entered in a field book
If XY is 360m and SM, RP and QN are the offsets. Determine the area of the field in metres.
Date posted: August 7, 2019. Answers (1)
- Draw line PQ = 7.0cm. Locate a point R on line PQ such that PR:RQ = 3:4(Solved)
Draw line PQ = 7.0cm. Locate a point R on line PQ such that PR:RQ = 3:4
Date posted: August 7, 2019. Answers (1)
- Three people Makori, Ondieki and Mosomi contributed money to start a business. Makori contributed a quarter of the total amount and Ondieki two fifth of...(Solved)
Three people Makori, Ondieki and Mosomi contributed money to start a business. Makori contributed a quarter of the total amount and Ondieki two fifth of the remainder. Mosomi’s contribution was one and half times that of Makori. They borrowed the rest of the money from the bank which was sh. 60,000 less than Mosomi’s contribution. Find the total amount required to start the business.
Date posted: August 7, 2019. Answers (1)
- A two digit number is such that when the digits are reversed the value of the number increases by 9. Three times the sum of...(Solved)
A two digit number is such that when the digits are reversed the value of the number increases by 9. Three times the sum of its digits is less than the value of the number by 8. Find the number.
Date posted: August 7, 2019. Answers (1)
- A tea blender buys two grades of tea at sh 60 and sh 80 per packet. Find the ratio in which he should mix them...(Solved)
A tea blender buys two grades of tea at sh 60 and sh 80 per packet. Find the ratio in which he should mix them so that by selling the mixture at sh 90, a profit of 25% is realized.
Date posted: August 7, 2019. Answers (1)
- A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25litres. if the
larger tank has a height of...(Solved)
A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25litres. if the
larger tank has a height of 100cm. calculate the height of the model tank.
Date posted: August 7, 2019. Answers (1)
- A line passes through the points A (2, 6) and B (4, -8). Find the equation of the perpendicular
bisector of line AB.(Solved)
A line passes through the points A (2, 6) and B (4, -8). Find the equation of the perpendicular
bisector of line AB.
Date posted: August 6, 2019. Answers (1)
- Use Square roots, reciprocal and square tables to evaluate to 4 significant figures the expression.
(Solved)
Use Square roots, reciprocal and square tables to evaluate to 4 significant figures the expression.
Date posted: August 6, 2019. Answers (1)
- A parallelogram has the lengths of its two diagonals being 4 v5 cm and 8 v5 cm. The acute
angle made by the diagonals at the...(Solved)
A parallelogram has the lengths of its two diagonals being 4 √5 cm and 8 √5 cm. The acute
angle made by the diagonals at the point of intersection is 600(do not use mathematical tables and calculators in part (a) and (b) of this question)
Calculate
a) the perimeter of the parallelogram
b) the angles of the parallelogram.
c) The area of the parallelogram.
Date posted: August 6, 2019. Answers (1)
- (a) Given that 2 y = 7 + 3x - x2 , complete the table below.
(b) On the grid provided and using a suitable scale,...(Solved)
(a) Given that 2 y = 7 + 3x - x2 , complete the table below.
(b) On the grid provided and using a suitable scale, draw the graph of 2 y = 7 + 3x - x2
(c) On the same grid draw the straight line and use your graph to solve the equation. x2 – 4x –
3 = 0
(d) Determine the coordinates of the turning point of the curve.
Date posted: August 6, 2019. Answers (1)
- Four ships are at sea, such that ship B is 520km on a bearing of 2100 from ship A. Ship C is
due North of ship...(Solved)
Four ships are at sea, such that ship B is 520km on a bearing of 2100 from ship A. Ship C is
due North of ship B and due west of ship A. The fourth ship D is 100km on a bearing of 3400
from ship A and 240km on a bearing of 0700 from C.
(a) Draw a rough sketch showing the positions of ships A, B, C and D.
(b) Use your sketch to find the size of
(i) angle ADC
(ii) angle BAD
(c) calculate to the nearest whole number
(i) the distance of C from A.
(ii) the area of the quadrilateral ABCD.
(iii) determine the bearing of B from D
Date posted: August 6, 2019. Answers (1)
- The prices of admission to a concert are as follows:
Primary school children - Ksh. 100 each
Secondary students - Ksh. 200
University - ksh. 400
One day the...(Solved)
The prices of admission to a concert are as follows:
Primary school children - Ksh. 100 each
Secondary students - Ksh. 200
University - ksh. 400
One day the money taken from the university students was twice the proceeds of the
primary sales while four times as many as tickets sold to secondary as to primary. If the
total collections at the ticket office were Sh. 22,000, find the number of tickets which
were sold altogether.
Date posted: August 6, 2019. Answers (1)