Attention Math
Chapter 4: Quadratic Equations

Problems · Chapter 4

The clue is in the question

Every problem has a clue. The clue tells you where to look, and the lens makes the problem short. Tap where you would look first, then compare the route with the lens against the textbook route.

  1. 1Two even neighboursFind two consecutive positive even integers whose product is 224.Lens · The landmarkPractice (NCERT style)
  2. 2Two odd squaresThe sum of the squares of two consecutive odd positive integers is 394. Find them.Lens · The landmarkJEE-style practice
  3. 3Two apart, squares 202Two natural numbers differ by 2 and the sum of their squares is 202. The sum of the numbers is:Lens · The landmarkPractice
  4. 4Consecutive squares, 365The sum of the squares of two consecutive positive integers is 365. The sum of the numbers is:Lens · The landmarkNCERT Ex 4.2 Q4, as a multiple-choice question
  5. 5Three apart, product 504Two numbers differ by 3 and their product is 504. Find the numbers.Lens · The landmarkPractice
  6. 6Sum 27, product 182Find two numbers whose sum is 27 and product is 182.Lens · The short listNCERT Ex 4.2 Q3
  7. 7Digits that reverse (product 14)A two-digit number is such that the product of the digits is 14. When 45 is added to the number, the digits are reversed. Find the number.Lens · The short listPractice
  8. 8Digits that reverse (product 6)A two-digit number is such that the product of the digits is 6. When 9 is added to the number, the digits interchange places. Find the number.Lens · The short listPractice
  9. 9A fraction with sum 10The sum of the numerator and denominator of a fraction is 10. If 1 is subtracted from both, the fraction decreases by 2/21. Find the fraction.Lens · The short listPractice
  10. 10A fraction and its reciprocalThe denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 2 16/21, find the fraction.Lens · The short listPractice
  11. 11Sum 8 and reciprocalsThe sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.Lens · The tightest constraintPractice
  12. 12The 7-24-25 triangleThe altitude of a right triangle is 17 cm less than its base. If the hypotenuse is 25 cm, find the perimeter of the triangle.Lens · The known factNCERT Ex 4.2 Q5, with 17 and 25

How problem solving works