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A man invests KSh. 10,000 in an account which pays 16% interests p.a compounded quarterly. Find the amount in the account after 1 ½ years.
(Solved)
A man invests KSh. 10,000 in an account which pays 16% interests p.a compounded quarterly. Find the amount in the account after 1 ½ years.
Date posted:
May 2, 2019
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Answers (1)
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In the figure below DC is a tangent to the circle at point D. Given that ABC is a straight line where AB = 7cm...
(Solved)
In the figure below DC is a tangent to the circle at point D. Given that ABC is a straight line where AB = 7cm and AC =
16.5cm, find the length of DC.

Date posted:
May 2, 2019
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Answers (1)
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Use logarithm tables to evaluate:
(Solved)
Use logarithm tables to evaluate:

Date posted:
May 2, 2019
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Answers (1)
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A radius of a circle is given as 2.8cm to 2 significant figures. By taking ?? to be 3.142, find to 4 significant figures, the...
(Solved)
A radius of a circle is given as 2.8cm to 2 significant figures. By taking 𝜋 to be 3.142, find to 4 significant figures, the limits between the area of the circle lie.
Date posted:
May 2, 2019
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Answers (1)
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The diagram below shows a circle ABC with AB = 12cm, BC = 15cm and AC = 14cm.
(Solved)
The diagram below shows a circle ABC with AB = 12cm, BC = 15cm and AC = 14cm.

Calculate to 4 significant figures.
(a) The angle ACB
(b) The radius of the circle
(c) The area of the shaded region.
Date posted:
May 2, 2019
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Answers (1)
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The diagram below shows a triangle OPQ in which QN:NP = 1:2, OT:TN = 3:2 and M is the midpoint of OQ.
(Solved)
The diagram below shows a triangle OPQ in which QN:NP = 1:2, OT:TN = 3:2 and M is the midpoint of OQ.

(a) Given that OP = p and OQ = q. Express the following vectors in terms of p and q.
(i) PQ
(ii) ON
(iii) PT
(iv) PM
(b) (i) Show that points P, T and M are collinear.
(ii) Determine the ratio MT:TP
Date posted:
May 2, 2019
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Answers (1)
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Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh.30,000. In...
(Solved)
Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh.30,000. In the month of February she sold goods worth KSh. 300,000 at a discount of 6%. Calculate her total earning that month.
Date posted:
May 2, 2019
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Answers (1)
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The curved surface area of a cylindrical container is 1980cm2. If the radius of the container is 21cm, calculate to one
decimal place the capacity of...
(Solved)
The curved surface area of a cylindrical container is 1980cm2. If the radius of the container is 21cm, calculate to one
decimal place the capacity of the container in litres. (Take 𝜋 =22/7)
Date posted:
May 2, 2019
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Answers (1)
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Three quantities A, B and C are such that A varies directly as the square of B and inversely as the cube root of C.
(Solved)
Three quantities A, B and C are such that A varies directly as the square of B and inversely as the cube root of C.
(a) Given that A = 20 when B = 5 and C = 27. Write the equation connecting A, B and C.
(b) Find the value of A when B = 7 and C = 125.
Date posted:
May 2, 2019
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Answers (1)
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Use square roots, reciprocals and square tables to evaluate to 4 significant figures the expressions:
(Solved)
Use square roots, reciprocals and square tables to evaluate to 4 significant figures the expressions:

Date posted:
May 2, 2019
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Answers (1)
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The figure below shows a right pyramid with square base of side 3cm and a slant edge of 5cm. Draw its net.
(Solved)
The figure below shows a right pyramid with square base of side 3cm and a slant edge of 5cm. Draw its net.

Date posted:
May 2, 2019
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Answers (1)
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The diagonal of a rectangular garden measures 11.25m while its width measures 6.75m.Calculate the perimeter of the garden.
(Solved)
The diagonal of a rectangular garden measures 11.25m while its width measures 6.75m.Calculate the perimeter of the garden.
Date posted:
May 2, 2019
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Answers (1)
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In the diagram below OX = x and OY = y, M and N are points on OY and XY respectively where OM =1/3 OY...
(Solved)
In the diagram below OX = x and OY = y, M and N are points on OY and XY respectively where OM =1/3 OY and XN =2/5 XY. Lines XM and ON interest at P such that OP =5/9 ON.

(a) Express in terms of vector x and y.
(i) XY
(ii) ON
(iii) XM
(b) Express XP and PM in terms of x and y
(c) State the ratio XP:PM
Date posted:
April 30, 2019
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Answers (1)
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The nth term of a series is given by 6 – 4n.
(Solved)
The nth term of a series is given by 6 – 4n.
(i) Write down the first four terms of the series.
(ii) Find the sum of the first 16 terms of the series.
(iii) Find the 25th term.
Date posted:
April 30, 2019
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Answers (1)
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Give that a = 6i, b = 5i – 3j and c = 3i + j, find scalars h and k such that ha +...
(Solved)
Give that a = 6i, b = 5i – 3j and c = 3i + j, find scalars h and k such that ha + kb = c
Date posted:
April 30, 2019
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Answers (1)
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Expand and simplify (2 – y)5 and use the first four terms to find the approximate value of (1.8)5 to 2 decimal places.
(Solved)
Expand and simplify (2 – y)5 and use the first four terms to find the approximate value of (1.8)5 to 2 decimal places.
Date posted:
April 30, 2019
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Answers (1)
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Points P(2,3) and Q (4,5) are mapped into P1(12,14) and Q1 (22,24) respectively by a transformation matrix T. Find the matrix T.
(Solved)
Points P(2,3) and Q (4,5) are mapped into P1(12,14) and Q1 (22,24) respectively by a transformation matrix T. Find the matrix T.
Date posted:
April 30, 2019
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Answers (1)
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Given that Sin theta =5/13,determine the value of tan (90 - theta) without using a calculator or mathematical tables.
(Solved)
Given that Sin theta =5/13,determine the value of tan (90 - theta) without using a calculator or mathematical tables.
Date posted:
April 30, 2019
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Answers (1)
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The velocity of a particle after t seconds is given by V = t2 – 4t + 4m/s. Determine the;
(Solved)
The velocity of a particle after t seconds is given by V = t2 – 4t + 4m/s. Determine the;
(a) initial velocity of the particle.
(b) time taken the particle is momentarily at rest.
(c) acceleration of the particle at t = 4.
(d) displacement of the between t = 1 seconds and t = 13 seconds.
Date posted:
April 30, 2019
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Answers (1)
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(a) A lamp shade is in the form of a frustum of a cone of diameter 21cm and 28cm. Its height is 10cm.
Calculate the volume...
(Solved)
(a) A lamp shade is in the form of a frustum of a cone of diameter 21cm and 28cm. Find it's height if the height of the cone that was cut off is 10cm.
(b)Calculate the volume of the lampshade.
(c) Two circles each of radius 5cm intersects such that the distance between their centres is 6cm. The
length of the common chord joining the two points of intersection is 8cm. Calculate the area of intersection.
Date posted:
April 30, 2019
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Answers (1)