- A line pass through A (4,3) and B(8,13). Find
(i) Gradient of the line
(ii) The magnitude of AB
(iii) The equation of the perpendicular bisector of...(Solved)
A line pass through A (4,3) and B(8,13). Find
(i) Gradient of the line
(ii) The magnitude of AB
(iii) The equation of the perpendicular bisector of AB.
Date posted: March 27, 2019. Answers (1)
- An equation of a circle is given by x2 + y2 – 6x + 8y – 11 = 0
Find its centre and radius(Solved)
An equation of a circle is given by x2 + y2 – 6x + 8y – 11 = 0
Find its centre and radius
Date posted: March 27, 2019. Answers (1)
- A regular octagon has sides of 8 cm. Calculate its area to 3 s.f.(Solved)
A regular octagon has sides of 8 cm. Calculate its area to 3 s.f.
Date posted: March 27, 2019. Answers (1)
- A metal rod, cylindrical in shape has a radius of 4 cm and length of 14 cm. It is melted down and recast into small...(Solved)
A metal rod, cylindrical in shape has a radius of 4 cm and length of 14 cm. It is melted down and recast into small cubes of 2 cm length. Find how many such cubes are obtained
Date posted: March 27, 2019. Answers (1)
- A rectangle measures 3.6 cm by 2.8 cm. Find the percentage error in calculating its perimeter.(Solved)
A rectangle measures 3.6 cm by 2.8 cm. Find the percentage error in calculating its perimeter.
Date posted: March 27, 2019. Answers (1)
- A quantity P varies inversely as Q2 Given that P = 4 When Q = 2. , write the equation joining P and Q
hence find...(Solved)
A quantity P varies inversely as Q2 Given that P = 4 When Q = 2. , write the equation joining P and Q
hence find P when Q = 4
Date posted: March 27, 2019. Answers (1)
- Find the value of ? within ? < ? < 360O if Cos (2 ? + 120) = 3/2(Solved)
Find the value of θ within θ < θ < 360O if Cos (2 θ + 120) = 3/2
Date posted: March 27, 2019. Answers (1)
- A glass of juice of 200 ml content is such that the ratio of undiluted juice to water is 1: 7 Find how many diluted...(Solved)
A glass of juice of 200 ml content is such that the ratio of undiluted juice to water is 1: 7 Find how many diluted glasses can be made from a container with 3 litres undiluted juice
Date posted: March 27, 2019. Answers (1)
- The cost of 3 plates and 4 cups is Shs. 380. 4 plates and 5 cups cost Shs. 110 more than this. Find the cost...(Solved)
The cost of 3 plates and 4 cups is Shs. 380. 4 plates and 5 cups cost Shs. 110 more than this. Find the cost of each item.
Date posted: March 27, 2019. Answers (1)
- Shs. 6000 is deposited at compound interest rate of 13%. The same amount is deposited at 15% simple interest. Find which amount is more and...(Solved)
Shs. 6000 is deposited at compound interest rate of 13%. The same amount is deposited at 15% simple interest. Find which amount is more and by how much after 2 years in the bank.
Date posted: March 27, 2019. Answers (1)
- Solve for x by completing the square(Solved)
Solve for x by completing the square
2x2 - 5x + 1 = 0
Date posted: March 27, 2019. Answers (1)
- Use logarithm tables to evaluate(Solved)
Use logarithm tables to evaluate
Date posted: March 27, 2019. Answers (1)
- What is the value of x in the equation?
2(3x-2)=3x+8(Solved)
What is the value of x in the equation?
2(3x-2)=3x+8
Date posted: March 24, 2019. Answers (1)
- The second,fourth and seventh terms of an arithmetic progression (A.P)are the first three.Consecutive terms of a geometric progression (G.P).If the common difference of the A.P...(Solved)
The second,fourth and seventh terms of an arithmetic progression (A.P) are the first three consecutive terms of a geometric progression (G.P).If the common difference of A.P is 2,find:
(a)The common ratio of the G.P.
(b)The last term of the A.P given that there are eighteen terms.
(c)The sum of the first 14 terms of the G.P.
Date posted: February 28, 2019. Answers (1)
- Tickets for a football match cost 100 shillings and 50 shillings and tickets to the value of Kenya pounds 100,000 were sold.If 30% more...(Solved)
Tickets for a football match cost 100 shillings and 50 shillings and tickets to the value of Kenya pounds 100,000 were sold. If 30% more sh. 50 tickets and 40% fewer sh.100 tickets had been sold, the income would have increased to Kenya pounds 112,500.How many tickets of each category were sold?
Date posted: February 28, 2019. Answers (1)
- The equation of a curve is y=1/3x³-2x²-3x+5.
(i)Determine the stationary points of the curve.
(ii)For each point in a(i) above determine the nature of the points.
(b)Find the...(Solved)
The equation of the curve is y=1/3x³-2x²+3x+5.
(a)(i)Determine the stationary points of the curve.
(ii)For each point in (a)(i) above determine the nature of the points.
(b)Find the equation of the tangent to the curve at x=2.
Date posted: February 25, 2019. Answers (1)
- Two towns P and Q are 580km apart.A bus left P at 6.10a.m.and maintains an average speed of 90km/hr between P and Q.A car starts...(Solved)
Two towns P and Q are 580km/hr apart.A bus left town P at 6.10a.m. and maintains an average speed of 90km/hr between P and Q. A car starts from Q at 8.00a.m. and travelled towards P at an average speed of 120km/hr.The car stopped for a total of 30 minutes on the way before meeting the bus.
(a)(i)How far from town P did they meet?
(ii)At what time did they meet?
(b)A rally driver starts from town Q towards town P at 9.30a.m.If he averages 180km/hr,calculate;
(i)The distance from Q when the rally driver overtook the car.
(ii)The time when the rally driver overtook the car.
Date posted: February 25, 2019. Answers (1)
- Find the constant term in the expression (Solved)
Find the constant term in the expression 
Date posted: February 25, 2019. Answers (1)
- The cash price of a bed is shs.6500.A man buys it on hire purchase by making a down payment of shs.2300 followed by 12 months...(Solved)
The cash price of a bed is shs.6500.A man buys it on hire purchase by making a down payment of shs. 2300 followed by 12 months installments of shs.490.Calculate the rate of carrying charge per month.
Date posted: February 25, 2019. Answers (1)
- A solid cone with a vertical height of 6cm and base radius 3cm is melted and recast into 8 identical hemispheres. Find the total surface...(Solved)
A solid cone with a vertical height of 6cm and base radius 3cm is melted and recast into 8 identical hemispheres. Find the total surface area of such 7 hemispheres.
(Take π= 22/7)
Date posted: February 25, 2019. Answers (1)