- The diagram below represents a right pyramid on a square base of side 3cm. The slant edge of the pyramid is 4cm.(Solved)
The diagram below represents a right pyramid on a square base of side 3cm. The slant edge of the pyramid is 4cm.
(a) Draw a labelled net of the pyramid.
(b) On the net drawn, measure the height of a triangular face from the top of the pyramid.
Date posted: April 24, 2019. Answers (1)
- A Kenyan bank buys and sells foreign currencies at the exchange rates shown below.(Solved)
A Kenyan bank buys and sells foreign currencies at the exchange rates shown below.
An American arrived in Kenya with 20 000 Euros. He converted all the Euros to Kenya shillings at the bank. He spent
KShs. 2,512,000 while in Kenya and converted the remaining Kenya shillings into US Dollars at the bank. Find the
amount in Dollars that he received.
Date posted: April 24, 2019. Answers (1)
- The line which joins the point A (3, k) and B (-2, 5) is parallel to the line whose equation is
5y + 2x – 7...(Solved)
The line which joins the point A (3, k) and B (-2, 5) is parallel to the line whose equation is
5y + 2x – 7 = 0. Find the value of k.
Date posted: April 24, 2019. Answers (1)
- A mother is now 2.5times as old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present
age of...(Solved)
A mother is now 2.5times as old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present
age of the mother.
Date posted: April 24, 2019. Answers (1)
- Simplify the following.(Solved)
Simplify the following.
Date posted: April 24, 2019. Answers (1)
- A cylinder of radius 14cm contains water. A metal solid cone of base radius 7cm and height 18cm is submerged into
the water. Find the change...(Solved)
A cylinder of radius 14cm contains water. A metal solid cone of base radius 7cm and height 18cm is submerged into
the water. Find the change in height of the water level in cylinder.
Date posted: April 24, 2019. Answers (1)
- A salesman is paid a salary of Sh. 10,000 per month. He is also paid a commission on sales above Sh. 100,000. In one
month he...(Solved)
A salesman is paid a salary of Sh. 10,000 per month. He is also paid a commission on sales above Sh. 100,000. In one
month he sold goods worth Sh. 500,000. If his total earning that month was Sh. 56,000. Calculate the rate of
commission.
Date posted: April 24, 2019. Answers (1)
- The interior angle of a regular polygon is 1080 larger than the exterior angle. How many sides has the polygon?(Solved)
The interior angle of a regular polygon is 1080 larger than the exterior angle. How many sides has the polygon?
Date posted: April 24, 2019. Answers (1)
- The figure below shows quadrilateral ABCD in which AB = 6cm. BC =1/2CD, CD = DA and angle ADC = angle BCD = 900.(Solved)
The figure below shows quadrilateral ABCD in which AB = 6cm. BC =1/2CD, CD = DA and angle ADC = angle BCD = 900.
Calculate the area of the quadrilateral ABCD.
Date posted: April 24, 2019. Answers (1)
- Three sirens wail at intervals of thirty minutes, fifty minutes and thirty-five minutes. If they wail together at 7.18 a.m. on
Monday, what time and day...(Solved)
Three sirens wail at intervals of thirty minutes, fifty minutes and thirty-five minutes. If they wail together at 7.18 a.m. on
Monday, what time and day will they wail together?
Date posted: April 24, 2019. Answers (1)
- Find the value of x if(Solved)
Find the value of x if
Date posted: April 24, 2019. Answers (1)
- Without using a calculator or mathematical tables simplify.(Solved)
Without using a calculator or mathematical tables simplify.
Date posted: April 24, 2019. Answers (1)
- Evaluate without using a calculator.(Solved)
Evaluate without using a calculator.
Date posted: April 24, 2019. Answers (1)
- A circular lawn is surrounded by a path of a uniform width of 7 meters. The area of the path is 21% that of the...(Solved)
A circular lawn is surrounded by a path of a uniform width of 7 meters. The area of the path is 21% that of the lawn. Calculate the radius of the lawn.
Date posted: April 23, 2019. Answers (1)
- A liquid spray of 384g is packed in a cylinder container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate...(Solved)
A liquid spray of 384g is packed in a cylinder container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate to 2 decimal places the height of the liquid in the container
Date posted: April 21, 2019. Answers (1)
- Mueni bought maize and beans at sh 20 per kg and sh 50 per kg respectively. She mixed them in a ratio such that after...(Solved)
Mueni bought maize and beans at sh 20 per kg and sh 50 per kg respectively. She mixed them in a ratio such that after selling the mixture at sh 39 per kg, she made a profit of 50%. Find the ratio in which she mixed them.
Date posted: April 6, 2019. Answers (1)
- Two towns P(60° N, 15° W) and Q(60°N, 30°E) are on the same parallel of latitude. An aircraft flying along the parallel of latitude takes...(Solved)
Two towns P(60° N, 15° W) and Q(60°N, 30°E) are on the same parallel of latitude. An aircraft flying along the parallel of latitude takes 4 hours 10 minutes to fly from P to Q. Taking the radius of the earth to be 6370 km, calculate to the nearest whole number,
i)the distance covered by the aircraft from P to Q
ii)the speed of the aircraft.
Date posted: April 6, 2019. Answers (1)
- The model of an aircraft is designed such that the volume of it interior airspace is 125 cm2. The volume of airspace of the actual...(Solved)
The model of an aircraft is designed such that the volume of it interior airspace is 125 cm2. The volume of airspace of the actual aircraft is 3.375 litres.
a) Given that the wing span of the aircraft is 7.44 m, find the wingspan of the model in centimetres.
b)If the total surface area of the model is 2420 cm2, find the total surface area of the actual aircraft in square metres.
c) Calculate the cost of the material used to build the actual aircraft if the material costs US $ 2.5 per square centimetre.
Date posted: April 6, 2019. Answers (1)
- A sales lady sold four plots at sh.180000@,she was paid a commission of sh.54000.What percentage commission that she...(Solved)
A sales lady sold four plots at sh.180000@,she was paid a commission of sh.54000. What percentage commission that she was paid?
Date posted: April 6, 2019. Answers (1)
- A cold water tap can fill a bath in 6 minutes while a hot water tap can fill it in 12 minutes. The drainage pipe...(Solved)
A cold water tap can fill a bath in 6 minutes while a hot water tap can fill it in 12 minutes. The drainage pipe can empty the bath in 8 minutes. All the three are opened fully for 3 minutes and then hot water tap is closed. How many more minutes will it take to fill the bath?
Date posted: April 3, 2019. Answers (1)