Get premium membership and access questions with answers, video lessons as well as revision papers.
- The volume V of a cylinder varies jointly as the square of the radius R and the height H. If the radius is increased by...(Solved)
The volume V of a cylinder varies jointly as the square of the radius R and the height H. If the radius is increased by 10% and the height decreased by 20% find the percentage change in the volume.
Date posted: September 24, 2019. Answers (1)
- Solve the equation 9tan2theta + tan theta =10(Solved)
Solve the equation 9tan2theta + tan theta =10 for 00 = less than or = 3600
Date posted: September 24, 2019. Answers (1)
- The masses of two objects to the nearest 100g are 51kg, and 43kg find the percentage error in the difference of their masses.(Solved)
The masses of two objects to the nearest 100g are 51kg, and 43kg find the percentage error in the difference of their masses.
Date posted: September 24, 2019. Answers (1)
- The fourth term of a geometric sequence is 48 and the seventh term is 384.Find the common ratio and the ninth term of the sequence.(Solved)
The fourth term of a geometric sequence is 48 and the seventh term is 384.Find the common ratio and the ninth term of the sequence.
Date posted: September 24, 2019. Answers (1)
- Make C the subject of a formula in the equation(Solved)
Make C the subject of a formula in the equation
Date posted: September 24, 2019. Answers (1)
- Calculate the standard deviation of the given data
3, 7, 2, 1, 8, 9, 13, 6, 4, 7(Solved)
Calculate the standard deviation of the given data
3, 7, 2, 1, 8, 9, 13, 6, 4, 7
Date posted: September 24, 2019. Answers (1)
- Estimate the area enclosed by the curve and the x axis from x =0 to x = 2 using mid ordinate rule with four...(Solved)
Estimate the area enclosed by the curve 
and the x axis from x =0 to x = 2 using mid ordinate rule with four strips. ( Leave your answer as a fraction)
Date posted: September 24, 2019. Answers (1)
- A and B are points on latitude 700N.Their longitudes are 620W and 1180E respectively. Find the shortest distance between A and B in nautical miles.(Solved)
A and B are points on latitude 700N.Their longitudes are 620W and 1180E respectively. Find the shortest distance between A and B in nautical miles.
Date posted: September 24, 2019. Answers (1)
- A point C divides the line AB with coordinates A (3, 4 ,-5) , B (-1,10,7) externally in the ratio 5 : 3. Find...(Solved)
A point C divides the line AB with coordinates A (3, 4 ,-5) , B (-1,10,7) externally in the ratio 5 : 3. Find the coordinates of C
Date posted: September 24, 2019. Answers (1)
- Peter invested a certain amount of money in a financial institution at compound interest compounded quarterly. At the end of the third year it had...(Solved)
Peter invested a certain amount of money in a financial institution at compound interest compounded quarterly. At the end of the third year it had amounted to sh 18980 and by the end of the fifth year it had amounted to sh 20530. Find the rate of interest
Date posted: September 24, 2019. Answers (1)
- Find the centre and radius of a circle whose equation is 2x2+2y2-12y-14 = 0(Solved)
Find the centre and radius of a circle whose equation is 2x2+2y2-12y-14 = 0
Date posted: September 24, 2019. Answers (1)
- A mixture is made by mixing 4kg of long grain rice costing sh 60 per kg with 9kg of short grain rice costing sh 50...(Solved)
A mixture is made by mixing 4kg of long grain rice costing sh 60 per kg with 9kg of short grain rice costing sh 50 per kg. How many kilograms of long grain rice should be added to the mixture so that the resulting mixture can be sold at sh 66 per kg and a profit of 20% is made.
Date posted: September 24, 2019. Answers (1)
- a. Expand and simplify
b. Hence evaluate leaving your answer in surd form(Solved)
a. Expand and simplify 
b. Hence evaluate 
leaving your answer in surd form
Date posted: September 24, 2019. Answers (1)
- Use logarithm tables to solve(Solved)
Use logarithm tables to solve
Date posted: September 24, 2019. Answers (1)
- A particle starts from rest at a point O and moves along a straight line coming to rest at another point B.During the motion...(Solved)
A particle starts from rest at a point O and moves along a straight line coming to rest at another point B.During the motion its velocity V meters per second after t seconds is given by V=9t2 – 2t3.
Calculate the:
(a)time taken for the particle to reach point B.
(b)time taken for the particle to attain maximum velocity.
(c)maximum velocity attained.
(d)the distance covered during the first 3 seconds.
Date posted: September 23, 2019. Answers (1)
- A company manufactures two types of toy machines x and y.
Type x machines must not be more than 20 and type y machine must be...(Solved)
A company manufactures two types of toy machines x and y.
Type x machines must not be more than 20 and type y machine must be greater than 10.The cost of four type x machines and three type y machines should not exceed sh 240 while the cost of five type x machines and nine type y machines should not be less than sh 450.
(a)Write down all the inequalities that fulfills the above conditions.
(b)Draw the graph to represent the above information by shading unwanted.
(c)If the company makes a profit of Sh 100 on the sale of machine x and Sh 200 on the sale of machine y.
Find the number of machine x and y that the company should sell in order to realize maximum and find the maximum profit.
Date posted: September 23, 2019. Answers (1)
- The figure below shows a right pyramid with a square block at its base. The sides of the base are 40cm and the height of...(Solved)
The figure below shows a right pyramid with a square block at its base. The sides of the base are 40cm and the height of the base is 30cm.M is the midpoint of WX such that VM=29cm.
Calculate:
(a)The vertical height of vertex V from the plane ABCD.
(b)The angle between plane of VWX and VyZ.
(c)The projection of the line yV to the plane wxyz.
(d)The angle between the planes WXCD and ABCD.
Date posted: September 23, 2019. Answers (1)
- (a)Use a ruler and a pair of compasses only to construct an isosceles triangle PQR in which PQ=PR=2cm and angle PQR = 300
(b)Measure line QP.
(c)Construct...(Solved)
(a)Use a ruler and a pair of compasses only to construct an isosceles triangle PQR in which PQ=PR=2cm and angle PQR = 300
(b)Measure line QP.
(c)Construct the perpendicular bisector of line QR.
(d)A point W moves such that it is always on the same side of QR as p.Construct the
Locus of point W such that angle QWR =300.
(e)Measure the longest distance from point P to the Locus of W.
Date posted: September 23, 2019. Answers (1)
- Complete the table below for the function y=3cos x and y=sin2x to 1 d.p.(Solved)
Complete the table below for the function y=3cos x and y=sin2x to 1 d.p.
Date posted: September 23, 2019. Answers (1)
- A cylindrical tank has a base of 2.1 m and a height of 10m.
A pipe of diameter 14cm supplies water to this tank at a...(Solved)
A cylindrical tank has a base of 2.1 m and a height of 10m.
A pipe of diameter 14cm supplies water to this tank at a rate of 49cm3/sec.
Calculate:
(a)The capacity of the tank in litres.
(b)The amount of water delivered in the tank in 1 hour in litres.
(c)The time taken for the tank to fill.
(d)The village consumes a full tank a day, with each family consuming an average of 150 litres per day. If each family pays a uniform rate of Sh 400 per month, calculate the total amount of money collected per month.
Date posted: September 23, 2019. Answers (1)