Subject: Mathematics
Book: Maths Mastery
Direct variation follows y = kx, where y changes proportionally with x (e.g., doubling x doubles y). Inverse variation follows y = k/x, implying that multiplying x by a factor divides y by the same factor. For instance, if y ∝ x, you might have y = 3x; doubling x from 2 to 4 changes y from 6 to 12. Conversely, if y ∝ 1/x, and x changes from 2 to 4, y becomes half. Variation problems are integral in physics (Ohm’s Law), chemistry (pressure-volume relationships), and everyday concepts like speed-time relationships. Mastering them helps you interpret how one quantity shifts in response to another.
If 2x - 3 = 7, what is the value of x?
View QuestionWhat is the square root of 144?
View QuestionWhat is the sum of the first 20 odd numbers?
View QuestionIf 3x = 81, what is the value of x?
View QuestionWhat is the sum of the first 50 positive integers?
View QuestionIf the product of two numbers is 120 and their sum is 26, what are the numbers?
View QuestionIf the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?
View QuestionA square is inscribed in a circle with a radius of 5 cm. What is the area of the square?
View QuestionIf x = 2 and y = 3, what is the value of (x^2 + y^2)?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View Question