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- Three vertices of a parallelogram PQRS are P(-1,2), Q(8,-5) and R(5,0).(Solved)
Three vertices of a parallelogram PQRS are P(-1,2), Q(8,-5) and R(5,0).
(i) On the grid provided below, draw the parallelogram PQRS.
(ii) Determine the length of the diagonal QS.
Date posted: August 20, 2019. Answers (1)
- Mr. Kirui earns a basic salary of sh. 12,000 per month. In addition he is also paid a commission of 2½ % for sales above...(Solved)
Mr. Kirui earns a basic salary of sh. 12,000 per month. In addition he is also paid a commission of 2½ % for sales above sh. 15,000. In a certain month, he sold goods worth sh. 140,000 at a discount of 5%. Calculate his total earning that month.
Date posted: August 20, 2019. Answers (1)
- The table below shows marks scored by 40 students in a mathematics test(Solved)
The table below shows marks scored by 40 students in a mathematics test
Calculate the median mark.
Date posted: August 20, 2019. Answers (1)
- Use ruler and pair of compasses only to draw a parallelogram PQRS in which PQ = 8cm, QR = 6cm and angle QPS = 750.(Solved)
Use ruler and pair of compasses only to draw a parallelogram PQRS in which PQ = 8cm, QR = 6cm and angle QPS = 750. By construction, determine the perpendicular distance between PQ and RS.
Date posted: August 20, 2019. Answers (1)
- Factorise the expression: 2s2t2 – 5st – 12.(Solved)
Factorise the expression: 2s2t2 – 5st – 12.
Date posted: August 20, 2019. Answers (1)
- A rectangular tank has a hole in it such that 11cm3 of water leaks out every 5 seconds.(Solved)
A rectangular tank has a hole in it such that 11cm3 of water leaks out every 5 seconds. Using π as 3.142. Calculate:-
(i) The capacity of the water lost from the tank every hour.
(ii) The time it takes to till a cylindrical tank of radius 30cm and height 30cm into which the leaking water drains; in hours to 4 significant figures.
Date posted: August 20, 2019. Answers (1)
- A tank holding 1m3 of water is filled in 10 minutes by a circular pipe of diameter 2cm. Find the speed of water in the pipe.(Solved)
A tank holding 1m3 of water is filled in 10 minutes by a circular pipe of diameter 2cm.Find the speed of water in the pipe.
Date posted: August 20, 2019. Answers (1)
- Simplify the expression:(Solved)
Simplify the expression:
Date posted: August 20, 2019. Answers (1)
- Solve the equation 8x2 + 2x -3 = 0 hence solve the equation 8cos2y + 2cosy – 3 = 0 for the range 00 0(Solved)
Solve the equation 8x2 + 2x -3 = 0 hence solve the equation 8cos2y + 2cosy – 3 = 0 for the range 00 0.
Date posted: August 20, 2019. Answers (1)
- The figure below represents a plot of land ABCD such that AB=85m, BC=75m, CD=60m, DA=50m and angle ACB = 900.(Solved)
The figure below represents a plot of land ABCD such that AB=85m, BC=75m, CD=60m, DA=50m and angle ACB = 900. (Not drawn to scale).
Determine the area of the plot, in hectares, correct to two decimal places.
Date posted: August 20, 2019. Answers (1)
- A minibus covered a distance of 200km at an average speed of 100km/hr.(Solved)
A minibus covered a distance of 200km at an average speed of 100km/hr. It traveled at a speed of 80km/hr for 3/5 of its journey. At what speed did it travel the remaining part of the journey.
Date posted: August 20, 2019. Answers (1)
- A test-tube consist of a cylinder and a hemisphere of the same radius; 282 cm3 of water is required to fill the whole tube...(Solved)
A test-tube consist of a cylinder and a hemisphere of the same radius; 282 cm3 of water is required to fill the whole tube and 262cm3 is required to fill it at a level of 1cm3 below the top of the tube. Find the radius of the tube and the length of the cylindrical part.
Date posted: August 20, 2019. Answers (1)
- In the triangle, AB = 8.5cm, AC = 10cm and ABC = BDC = 900(Solved)
In the triangle, AB = 8.5cm, AC = 10cm and ABC = BDC = 900.
Calculate:
(i) The length of BC.
(ii) The length of BD.
Date posted: August 20, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate:
Date posted: August 20, 2019. Answers (1)
- The figure below shows a frustrum PQRSTUVW of a right pyramid. PQ = 20cm, QR = 15cm,UV = 10cm, UT = 7.5cm and PU =...(Solved)
The figure below shows a frustum PQRSTUVW of a right pyramid. PQ = 20cm, QR = 15cm,UV = 10cm, UT = 7.5cm and PU = QV = RW = ST = 12cm.
Leave all your answer to 4 s.f.
(a) Find the altitude of the pyramid from which the frustum was cut.
(b) Find the angle between
(i) PW and base PQRS
(ii) PQVU and the base PQRS
Date posted: August 20, 2019. Answers (1)
- Solve the pair of simultaneous equations using elimination method.
4x+9y=5
3x+3y=2(Solved)
Solve the pair of simultaneous equations using elimination method.
4x+9y=5
3x+3y=2
Date posted: August 20, 2019. Answers (1)
- Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression leaving your answer in prime factor form.(Solved)
Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression
leaving your answer in prime factor form.
Date posted: August 20, 2019. Answers (1)
- Given 2.421=2a/b. determine the values of a and b.(Solved)
Given 2.421=2a/b. determine the values of a and b.
Date posted: August 20, 2019. Answers (1)
- Find the length of AC in the figure below.(Solved)
Find the length of AC in the figure below.
Date posted: August 20, 2019. Answers (1)
- A circle of radius 4.9cm fits exactly inside a square. Find the area of the space between the circle and the square.(Solved)
A circle of radius 4.9cm fits exactly inside a square. Find the area of the space between the circle and the square.
Date posted: August 20, 2019. Answers (1)