English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

Express the number as a product of its prime factor:

3825

Express the number as a product of its prime factor:

5005

Express the number as a product of its prime factor:

7429

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.

510 and 92

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.

336 and 54

Find the LCM and HCF of the following integers by applying the prime factorisation method.

17, 23 and 29

Find the LCM and HCF of the following integers by applying the prime factorisation method.

8, 9 and 25

The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is ______.

If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then ______.

Find the value of k such that the polynomial  x²-(k +6)x+ 2(2k - 1) has some of its zeros equal to half of their product.

Find the value of k such that the polynomial x2 − (k + 6)x + 2(2k −1) has sum of its zeros equal to half of their product.

If the sum of first n terms of an AP is n², then find its 10th term. 

Find the distance between the points (a, b) and (−a, −b).

How many multiples of 4 lie between 10 and 205?

In what ratio does the point P(−4, y) divides the line segment joining the points A(−6, 10) and B(3, −8)? Hence find the value of y.

LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.

There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet?

Express 98 as a product of its primes.

Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.

For some integer p, every even integer is of the form ______.