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- The figure below shows a solid made by placing two equal regular tetrahedra.(Solved)
The figure below shows a solid made by placing two equal regular tetrahedra.
a) Draw the net of the solid.
b) If each face is an equilateral triangle of side 5cm. Find the surface area of the solid to 4 s.f
Date posted: August 7, 2019. Answers (1)
- Find the integral values of x which satisfy the following inequalities(Solved)
Find the integral values of x which satisfy the following inequalities
2 (2 - x) < 4x – 9 < x + 11
Date posted: August 7, 2019. Answers (1)
- Four towns P, R, T and S are such that R is 80km directly to the north of P and T is on a bearing...(Solved)
Four towns P, R, T and S are such that R is 80km directly to the north of P and T is on a bearing of 290º from P at a distance of 65km. S is on a bearing of 330º from T and a distance of 30 km.
Using a scale of 1cm to represent 10km, make an accurate scale drawing to show the relative position of the towns.
Find:
(a) The distance and the bearing of R from T
(b) The distance and the bearing of S from R
(c) The bearing of P from S
Date posted: August 7, 2019. Answers (1)
- The length of a rectangle was increased by 30% while its width decreased by 15%. Determine the % change in the area of the rectangle.(Solved)
The length of a rectangle was increased by 30% while its width decreased by 15%. Determine the % change in the area of the rectangle.
Date posted: August 7, 2019. Answers (1)
- A newspaper vendor has 30 bank notes with a total value of Sh. 900, if the notes are either in
Sh. 20 or Sh. 50 denominations,...(Solved)
A newspaper vendor has 30 bank notes with a total value of Sh. 900, if the notes are either in
Sh. 20 or Sh. 50 denominations, how many of each does he have?
Date posted: August 7, 2019. Answers (1)
- 0.05 litres of water is poured into an empty measuring cylinder. A piece of metal with mass 135g
is put into the cylinder. If the density...(Solved)
0.05 litres of water is poured into an empty measuring cylinder. A piece of metal with mass 135g
is put into the cylinder. If the density of the metal is 9600kg/m3, find the new reading of the
cylinder.
Date posted: August 7, 2019. Answers (1)
- 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)