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 the sum of three consecutive integers is 72, what are the integers?
View QuestionWhat is the length of the diagonal of a square with a side length of 7 cm?
View QuestionWhat is the HCF of 72 and 120?
View QuestionIf the radius of a circle is 7 cm, what is its circumference?
View QuestionIf x:y = 4:5 and y:z = 2:3, what is x:z?
View QuestionIf the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?
View QuestionWhat is the sum of the first 20 odd numbers?
View QuestionIf a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?
View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionIf x = 3 and y = 4, what is the value of x^2 + y^2?
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