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CBSE Class 10 Mathematics Worksheet
UNIT II: Algebra - Quadratic Equations
The sum of ages in years of a son and his father is 35 years and product of their age is 150 years, find their ages.
0.2 is a root of the equation x2 – 0.4?
The sum of squares of two consecutive odd number is 394. Find the numbers.
The denominator of a fraction is one more that twice its numerator. If the sum of the fraction and its reciprocal is , find the fraction
If zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?
14 years
B)15 years
C)17 years
D)12 years
A train takes 2 hrs less for a journey of 300 km if speed is increased by 5 km/hr from its usual speed. Find the speed of train.
The difference of two numbers is 5 and the difference of their reciprocal is 1/10. Find the numbers.
The sum of squares of two consecutive multiples of 7 is 637. Find the multiples.
In a class test, the sum of the marks obtained by a student in English and Hindi is 28. Had he got 3 more marks in English and 4 less marks in Hindi, the product of the marks would have been 180. Find the marks in two subjects.
The sum of squares of two consecutive even number is 340. Find the numbers.
Had Ram scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?
15
B)10
C)12
D)11
The perimeter of a rectangular field is 82 m and its area is 400 sq. m. Find the length and breadth of the rectangle.
the roots of the equation are x2−3x−10=0 are
real and equal
B)real and unequal
C)imaginary and unequal
D)real and imaginary
The product of Taniya's age 5 years ago and his age 10 years later is 16. Determine Taniya present age.
The perimeter of a right triangle is 60 cm. Its hypotenuse is 25 cm, find the area of the triangle.
The length of the sides forming right angle of a right triangle are 5x cm and (3x-1). If the area of the triangle is . Find the hypotenuse.
If the price of a book is reduced by Rs. 5, a person can buy 5 more books for Rs. 300. Find the original list price of the book.
|
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? |
120 metres
B)180 metres
C)324 metres
D)150 metres
Two water taps together can fill a tank in 9 hours 36 minutes. The tap of larger diameter takes 8 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank
26 hours
B)20 hours
C)22 hours
D)24 hours
Two water taps running together can fill a tank in 9 hours 36 mins. The tap of larger diameter takes 8 hours less that the smaller one to fill the tank separately. Find the time in which each tap would fill the tank separately.
CBSE Class 10 Mathematics Worksheet
UNIT II: Algebra - Quadratic Equations
Answers
Father's age = 30 years, son's age = 5 years
13, 15
3/7 is fraction
25 km/hr
10, 5
14 and 21
Case 1, English =9, Hindi =19, case 2, English =12, Hindi = 16
12, 14
L = 25 m, B = 16 m
6 Years
Solution:
17 cm
Rs. 20
Solution:
| Speed= | 60 x | 5 | = | 50 | ||||
| 18 | 3 |
Length of the train = (Speed x Time).
| 50 | x 9 | |||
| 3 |
16 hrs and 24 hrs
