# Questions and answers: Mathematics

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**778 Questions** View: All | Solved | Unsolved

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- 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 (2x+2/3x)4
**(Solved)**Find the constant term in the expression (2x+2/3x)⁴

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)

- Three businessmen Mwanzia,Godana and Macharia decided to buy a bus.The marked price of the bus was shs.7,200,000.The dealers agreed that the three men could pay...
**(Solved)**Three businessmen Mwanzia,Godana and Macharia decided to buy a bus. The marked price of the bus was shs.7,200,000.The dealers agreed that the three men could pay a deposit of 40% of the money and the rest to be paid within one year. Mwanzia,Godana and Macharia raised the deposit in the ratio 2:3:4 respectively. The balance plus 10% interest on the outstanding amount was to be paid to the dealer from the proceeds from the bus operations in the same ratio as the deposits. The businessmen agreed to jointly save 15% of the proceeds for maintenance. During the year the bus realized shs.8,044,000. (a)How much of the deposit did Godana contribute? (b)How much of the remaining amount did Macharia pay at the end of the year? (c)After paying the remaining amount at the end of the year, how much money was Mwanzia left with?

Date posted: February 25, 2019. Answers (1)

- Janet and Martha both drive a distance of 96Km but Martha average speed is 16km/hr slower than Janet's and consequently she takes 30 minutes longer...
**(Solved)**Janet and Martha both drive a distance of 96km but Martha average speed is 16km/hr slower than Janet's and consequently she takes 30 minutes longer to complete the journey. Calculate Janet's average speed.

Date posted: February 25, 2019. Answers (1)

- A two digit number is four times the sum of its digits.If the digits are interchanged the number formed is more than the original number...
**(Solved)**A two digit number is four times the sum of its digits.If the digits are interchanged the number formed is more than the original number by twenty seven.Find the number.

Date posted: February 20, 2019. Answers (1)

- The ratio of the interior to the exterior angle of a regular polygon is 9:1.Find the number of sides of the polygon.
**(Solved)**The ratio of the interior to the exterior angle of a regular polygon is 9:1.Find the number of sides of the polygon.

Date posted: February 20, 2019. Answers (1)

- State four types of variation in Time series
**(Solved)**State four types of variation in Time series.

Date posted: February 14, 2019. Answers (1)

- State two approaches to Time series
**(Solved)**State two approaches to Time series.

Date posted: February 14, 2019. Answers (1)

- The average lap time for 3 athletes in a long distance race is 36 seconds, 40 seconds and 48 seconds respectively.
**(Solved)**The average lap time for 3 athletes in a long distance race is 36 seconds, 40 seconds and 48 seconds respectively. If they all start the race at same time, find the number of times the lowest runner will have been over lapped by the fastest at the time all cross the starting point together again.

Date posted: February 2, 2019. Answers (1)

- Line L1 passes through the points A (1,2) and B (3, -4). Find the equation of L2 passing through the mid-point of AB and perpendicular to L1, leaving your answer in the form ax+by+c=0
**(Solved)**Line L1 passes through the points A (1,2) and B (3, -4). Find the equation of L2 passing through the mid-point of AB and perpendicular to L1, leaving your answer in the form ax+by+c=0

Date posted: February 2, 2019. Answers (1)

- Given that the position vectors of points P and Q are P = and Q . M is a point on PQ such that PM:MQ = 2:1. Find the coordinates of M
Given that the position vectors of points P and Q are P = and Q . M is a point on PQ such that PM:MQ = 2:1. Find the coordinates of M

Date posted: February 2, 2019.

- Mutua has 21 coins. The total value of the coins is Kshs. 72. There are half as many ten shillings coin as there are five shilling coins. If the rest are one shilling coin, find the number of five shilling coins mutual has.
**(Solved)**Mutua has 21 coins. The total value of the coins is Kshs. 72. There are half as many ten shillings coin as there are five shilling coins. If the rest are one shilling coin, find the number of five shilling coins mutual has.

Date posted: February 2, 2019. Answers (1)

- Portfolio manager wants to purchase a stock.if inflation decreases, the Probability is 0.9 that investment will be profitable. If inflation remains constant or increases, the...
**(Solved)**Portfolio manager wants to purchase a stock.if inflation decreases, the Probability is 0.9 that investment will be profitable. If inflation remains constant or increases, the Probability is 0.6 that investment will be profitable. Assume Probability that inflation rate declines is 0.3. what is the Probability that investment will be profitable?

Date posted: January 25, 2019. Answers (1)

- Find the angle between the vectors u=2i+2j and v=3i-2j.correct to one decimal place
Find the angle between the vectors u=2i+2j and v=3i-2j.correct to one decimal place

Date posted: January 24, 2019.

- Verify Rolle's theorem for the function f(x)=x²-4x-12,intervals [6<=x<=-2]
**(Solved)**Consider the function f(x)=x²-4x-12 in the interval [6<=x<=-2].Verify Rolle's theorem. (3Marks)

Date posted: January 23, 2019. Answers (1)

- Consider the function f(x)=x²-7x+10 in the interval [2<=x<=5].Verify Rolle's theorem. (3Marks)
**(Solved)**Consider the function f(x)=x²-7x+10 in the interval [2<=x<=5].Verify Rolle's theorem. (3Marks)

Date posted: January 23, 2019. Answers (1)

- State Rolle's theorem. (2 Marks)
**(Solved)**State Rolle's theorem. (2 Marks)

Date posted: January 23, 2019. Answers (1)

- State the classification of Differential equations. (3 Marks)
**(Solved)**State the classification of Differential equations. (3 Marks)

Date posted: January 23, 2019. Answers (1)

- Define the term Differential equation. (2 Marks)
**(Solved)**Define the term Differential equation. (2 Marks)

Date posted: January 23, 2019. Answers (1)

- Why are premiums paid in advance?
**(Solved)**Why are premiums paid in advance?

Date posted: December 27, 2018. Answers (1)

- Express 8,200,000 in standard form
**(Solved)**Express 8,200,000 in standard form

Date posted: December 17, 2018. Answers (1)

- Explain what are quadrilaterals giving an example
**(Solved)**Explain what are quadrilaterals giving an example

Date posted: December 8, 2018. Answers (1)

- What is the supplementary angle to 130 degrees
**(Solved)**What is the supplementary angle to 130 degrees

Date posted: December 8, 2018. Answers (1)

- If the mass of a tin is given as 2kg to the nearest 10g,find the percentage error
**(Solved)**If the mass of a tin is given as 2kg to the nearest 10g,find the percentage error

Date posted: December 8, 2018. Answers (1)

- Define surds and give an example
**(Solved)**Explain what are surds in mathematics giving an example of a surd

Date posted: December 8, 2018. Answers (1)