- The diagram below represents a pillar made of cylindrical and regular tetrahedral parts. The diameter and height of the cylindrical part are 1.4m and 1m...(Solved)
The diagram below represents a pillar made of cylindrical and regular tetrahedral parts. The diameter and height of the cylindrical part are 1.4m and 1m respectively. The side of the regular tetrahedral face is 0.5m and its height is 3.2m.
Calculate the volume of the :
i) Cylindrical part
ii) Tetrahedral part
Date posted: August 7, 2019. Answers (1)
- In the figure below DA is a diameter of the circle ABCDE centre O, radius 10cm. AB=BC and angle DAC= 360(Solved)
In the figure below DA is a diameter of the circle ABCDE centre O, radius 10cm. AB=BC and angle DAC= 360
Giving reasons, find the size of the angle;
(i) CDB;
(ii) DBC
(iii) DOC
(iv) OCA
(v) DEB
Date posted: August 7, 2019. Answers (1)
- Three points on a map A, B, and C are such that the bearing of B and C from A are 600 and 1500 respectively.(Solved)
Three points on a map A, B, and C are such that the bearing of B and C from A are 600 and 1500 respectively. If the distance AB is 0.45m and BC is 0.75m, determine the distance AC.
Date posted: August 7, 2019. Answers (1)
- The size of each interior angle of a regular polygon is four times the size of the exterior angle. Find the number of sides of...(Solved)
The size of each interior angle of a regular polygon is four times the size of the exterior angle. Find the number of sides of the polygon.
Date posted: August 7, 2019. Answers (1)
- Solve for x in the following equation.(Solved)
Solve for x in the following equation.
Date posted: August 7, 2019. Answers (1)
- Without using tables or calculators evaluate. Give your answer as a mixed number.(Solved)
Without using tables or calculators evaluate. Give your answer as a mixed number.
Date posted: August 7, 2019. Answers (1)
- The figure below represents below represents a prism of length 7 cm AB = AE = CD = 2 cm and BC – ED =...(Solved)
The figure below represents below represents a prism of length 7 cm AB = AE = CD = 2 cm and BC – ED = 1 cm
Draw the net of the prism
Date posted: August 7, 2019. Answers (1)
- A two digit number is such that the sum of its digits is 13. The product of twice the tens digit and
the units digit minus...(Solved)
A two digit number is such that the sum of its digits is 13. The product of twice the tens digit and
the units digit minus the original number is 22. Find the number.
Date posted: August 7, 2019. Answers (1)
- Use the square, cube root, and reciprocal table to evaluate to 4 d.p(Solved)
Use the square, cube root, and reciprocal table to evaluate to 4 d.p
Date posted: August 7, 2019. Answers (1)
- Express the following recurring decimal as a fraction in its simplest form(Solved)
Express the following recurring decimal as a fraction in its simplest form
Date posted: August 7, 2019. Answers (1)
- Water and ethanol are mixed such that the ratio of the volume of water to that of ethanol is 3: 1. Taking the density of...(Solved)
Water and ethanol are mixed such that the ratio of the volume of water to that of ethanol is 3: 1. Taking the density of water as 1 g/cm3 and that of ethanol as 1.2g/cm3, find the mass in grams of 2.5 litres of the mixture.
Date posted: August 7, 2019. Answers (1)
- Find three quarters of the result and leave your answer as a fraction.(Solved)
Divide 
then add the result to the product of 
Find three quarters of the result and leave your answer as a fraction.
Date posted: August 7, 2019. Answers (1)
- Line BC below is a side of a triangle ABC and also a side of a parallelogram BCDE.
(i) The triangle ABC given that angle ABC...(Solved)
Line BC below is a side of a triangle ABC and also a side of a parallelogram BCDE.
Using a ruler and a pair of compasses only construct:
(i) The triangle ABC given that angle ABC = 1200 and AB= 6cm
(ii) The parallelogram BCDE whose area is equal to that of the triangle ABC and point E is on line AB
Date posted: August 7, 2019. Answers (1)
- Mwangi and Otieno live 60km apart. Mwangi leaves his home at 7.00am cycling towards Otieno’s house at 20km/h. Otieno leaves his home at 8.00am cycling...(Solved)
Mwangi and Otieno live 60km apart. Mwangi leaves his home at 7.00am cycling towards Otieno’s house at 20km/h. Otieno leaves his home at 8.00am cycling towards Mwangi’s house at 8km/h
a) At what time did they meet?
b) How far is the meeting point from Mwangi’s house?
Date posted: August 7, 2019. Answers (1)
- Two lines L1 and L2 intersect at a point P. L1 passes through the points (-4,0) and (0,6). Given that L2 has the equation: y...(Solved)
Two lines L1 and L2 intersect at a point P. L1 passes through the points (-4,0) and (0,6). Given that L2 has the equation: y = 2x – 2, find, by calculation, the coordinates of P.
Date posted: August 7, 2019. Answers (1)
- The L.C.M. of three numbers is 360 and the G.C.D of the same numbers is 2. If one of the
numbers is 40. find the other...(Solved)
The L.C.M. of three numbers is 360 and the G.C.D of the same numbers is 2. If one of the
numbers is 40. find the other 2 numbers.
Date posted: August 7, 2019. Answers (1)
- Find the value of x in the following equations:(Solved)
Find the value of x in the following equations:
Date posted: August 7, 2019. Answers (1)
- Write the odd numbers in descending order between 1 and 10 inclusive(Solved)
a) Write the odd numbers in descending order between 1 and 10 inclusive
b) Round off the number formed to 3 significant figures.
c) Find the total value of digit 7 in the new number in 1(b) above.
Date posted: August 7, 2019. Answers (1)
- Evaluate the expression below(Solved)
Evaluate the expression below
Date posted: August 7, 2019. Answers (1)
- An arithmetic progression has the first term as a and common difference as d
(i) Write down the third, ninth and twenty fifth term of the...(Solved)
An arithmetic progression has the first term as a and common difference as d
(i) Write down the third, ninth and twenty fifth term of the progression
(ii) The arithmetic progression above is such that it is increasing and the third, ninth and twenty fifth terms form the first three consecutive terms e.g. a geometric progression. If the sum of the seventh term and twice the sixth term of the A.P is 78.Calculte the first term and the common difference of A.P.
Date posted: August 7, 2019. Answers (1)