1. Represent the following situation mathematically:
John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles the had to start with.
2. A cottage industry produces certain number of toys in a day. The cost of production of each toy (inrupees) was found to be 55 minus the number of the toys produced in a day.On aparticular day, thetotal cost of production was Rs. 750. We would like to find out the number of toys produced on that day.
3. Represent the following situations in the form of quadratic
equations: Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.
4. A train travels a distance of 480 km at a uniform speed. If the speed had been 8km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
5. Find two consecutive positive integers, sum of whose squares is 365.
6. Find the root of the equation; x -1/x = 3
7. Two water taps together can fill a tank in 9 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill thetank.
8. An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/h more than that of the passenger train, find the average speed of the two trains.
9. Find the value of k of the following quadratic equations, so that they have two equal root of kx (x – 2) + 6 = 0.
10.A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles the had to start with.
2. A cottage industry produces certain number of toys in a day. The cost of production of each toy (inrupees) was found to be 55 minus the number of the toys produced in a day.On aparticular day, thetotal cost of production was Rs. 750. We would like to find out the number of toys produced on that day.
3. Represent the following situations in the form of quadratic
equations: Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.
4. A train travels a distance of 480 km at a uniform speed. If the speed had been 8km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
5. Find two consecutive positive integers, sum of whose squares is 365.
6. Find the root of the equation; x -1/x = 3
7. Two water taps together can fill a tank in 9 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill thetank.
8. An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/h more than that of the passenger train, find the average speed of the two trains.
9. Find the value of k of the following quadratic equations, so that they have two equal root of kx (x – 2) + 6 = 0.
10.A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
can we gt the solutions as well ???
ReplyDeleteVALUE BASED QUESTIONS Class : X Subject: Mathematics Topic :Quadratic Equations
ReplyDelete1. A charity trust decides to build the prayer hall having a carpet area of 300 sq. m, with its length one more than twice its breadth.
2. John and Jivanthi together have 45 marbles. Both of them lost 5 marbles, and the product of the number of marbles they now have is 124.
3. A tourist with Rs.300, calculating that he could spend Rs.x everyday on his holidays. He spent Rs.(x+10) per day and had nothing left 5 days before the end of his holidays.
4. The angry Arjun carried some arrows for fighting with Bhishma, with half the arrows he cut down the arrows thrown by Bhishma on him and with six other arrows he killed the rath driver of Bhishma. With one arrow each he knocked down respectively the rath, flag and the bow of Bhishma. Finally with one more than four times the square root of arrows he laid Bhishma unconscious on an arrow bed.
5. A lake is surrounded by birds on all sides. A lotus flower is seen ½ m above the water level. With the onset of the mind, the lotus sinks in the wind, the lotus sinks in the water 2m away from its place slowly.