FRANK Solutions for Class 10 Maths Chapter 7 - Problems Based On Quadratic Equations

Get the support of Frank Solutions for ICSE Class 10 Mathematics Chapter 7 Problems Based on Quadratic Equations to practise Maths problems. Learn the usage of various problem-solving methods such as the formula method, factorisation method etc. to solve quadratic equations.

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Chapter 7 - Problems Based On Quadratic Equations Exercise Ex. 7.1

Question 1
The sum of the square of the 2 consecutive natural numbers is 481. Find the numbers.
Solution 1
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 2
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 2
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 3
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 3
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 4
A two digit number is such that its product of its digit is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
Solution 4
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 5
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
Solution 5

Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations

Question 6
Divide 25 into two parts such that twice the square of the larger part exceeds thrice the square of the smaller part by 29.
Solution 6
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 7
The sum of the square of 2 positive integers is 208. If the square of larger number is 18 times the smaller number, find the numbers.
Solution 7
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 8
The difference of the square of two natural numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
Solution 8
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 9
A two digit number is four times the sum and 3 times the product of its digits, find the number.
Solution 9
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 10
Two natural numbers differ by 4. If the sum of their square is 656, find the numbers.
Solution 10
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 11
The sum of the square of 2 consecutive odd positive integers is 290.Find them.
Solution 11
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 12
Three consecutive natural numbers are such that the square of the first increased by the product of other two gives 154. Find the numbers.
Solution 12
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 13
The sum of the square of two numbers is 233. If one of the numbers is 3 less than twice the other number. Find the numbers.
Solution 13
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 14
Find two natural numbers which differ by 3 and whose squares have the sum of 117.
Solution 14
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 15
A two digit number is such that the product of its digit is 8. When 18 is subtracted from the number, the digits interchange its place. Find the numbers.
Solution 15
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 16
A two digit number is such that the product of the digit is 12. When 36 is added to the number, the digits interchange their places. Find the numbers.
Solution 16
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 17
A two digit number is 4 times the sum of its digit and twice the product of its digit. Find the number.
Solution 17
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 18
Three years ago, a man was 5 times the age of his son. Four years hence, he will be thrice his son's age. Find the present ages of the man and his son.
Solution 18
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 19
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. Determine their present ages.
Solution 19
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 20
The present age of the mother is square of her daughter's present age. 4 years hence, she will be 4 times as old as her daughter. Find their present ages.
Solution 20
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 21
The product of a girl's age five years ago and her age 3 years later is 105. Find her present age.
Solution 21
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 22
The hypotenuse of a right-angled triangle is 17cm. If the smaller side is multiplied by 5 and the larger side is doubled, the new hypotenuse will be 50 cm. Find the length of each side of the triangle.
Solution 22
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 23
The hypotenuse of a grassy land in the shape of a right triangle is 1 m more than twice the shortest side. If the third side is 7m more than the shortest side, find the sides of the grassy land.
Solution 23
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 24
The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.
Solution 24
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 25
The area of right-angled triangle is 600cm2. If the base of the triangle exceeds the altitude by 10cm, find the dimensions of the triangle.
Solution 25
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 26
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 26
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 27
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 27
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 28
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 28
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 29
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 29
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 30
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 30
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 31
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 31
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 32
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 32
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 33

Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations

Solution 33
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 34
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 34
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 35
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 35
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 36
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 36
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 37
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 37
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 38
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 38
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 39
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 39
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 40
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 40
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 41
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 41
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 42
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 42
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 43
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 43
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 44
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 44
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 45
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 45
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 46
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 46
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 47
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 47
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Question 48
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations
Solution 48
Frank Solutions Icse Class 10 Mathematics Chapter - Problems Based On Quadratic Equations