Question 1.
A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed?

Question 2.
Determine two consecutive negative even integers whose product is 24?

Question 3
A rectangle has a length that is 2 less than 3 times the width. If the area of this rectangle is 16, find the dimensions and the perimeter.

Question 4
The difference of two number is 2 and product of them is 224.Find the Numbers

Question 5
X and Y working together can complete a certain project is 6 days. If X alone works on the project, He will take 5 days less than Y to complete. Find days required for X and Y to complete the project alone?

Question 6
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.

Question 7
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides

Question 8
Find the value of k for which the roots of the quadratic equation are equal

Question 9
The numerator of a fraction is 3 less than its denominator . If 2 is added to both the numerator and its denominator, the sum of the new fraction and original fraction is 29/20. Find the original fraction

Question 10
To fill a swimming pool two pipes are used if the pipe of larger diameter used for 4 hour and the pipe of a smaller diameter for 9 hours only half of the pool can be filled .find how much long it would take for each pipe to fill the pool separately if the pool of a smaller diameter takes 10 hour more than the pool of larger diameter to fill the pool?

Question 11
Five times of a positive integer is less than twice its square by 3. Find the integer.

Question 12
Determine the positive values of P for which equation $x^2+2px+64=0$ and $x^2-8x+2p=0$ will both have real roots

Question 13
If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her actually age. What is her age now?

Question 14
The sum of the squares of the two consecutive multiples of 7 is 637, find the multiples?

• Notes Assignments NCERT Solutions

Reference Books for class 10

Given below are the links of some of the reference books for class 10 math.

You can use above books for extra knowledge and practicing different questions.

Practice Question

Question 1 What is $1 - \sqrt {3}$ ?
A) Non terminating repeating
B) Non terminating non repeating
C) Terminating
D) None of the above
Question 2 The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is?
A) 19.4 cm3
B) 12 cm3
C) 78.6 cm3
D) 58.2 cm3
Question 3 The sum of the first three terms of an AP is 33. If the product of the first and the third term exceeds the second term by 29, the AP is ?
A) 2 ,21,11
B) 1,10,19
C) -1 ,8,17
D) 2 ,11,20

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