Subject: Mathematics
Book: Maths Mastery
Algebraic word problems typically revolve around forming one or more equations based on a scenario. The steps: define variables, translate sentences into expressions, and solve systematically. For example: “A number is 5 less than twice another. If the sum is 23, find the numbers.” Let x be the first number, y the second. Then x = 2y – 5, x + y = 23. Solve to get y=14, x=23–14=9. Understanding how to parse language into algebraic form is pivotal in advanced mathematics, finance, or logical puzzles, turning everyday challenges into solvable equations.
A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?
View QuestionIf the radius of a circle is doubled, what happens to its area?
View QuestionA number is increased by 20% and then decreased by 10%. What is the net change?
View QuestionIf a+b = 10 and ab = 21, what is the value of (a-b)^2?
View QuestionA man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?
View QuestionThe probability of rolling a sum of 7 with two dice is:
View QuestionIf a:b = 3:4 and b:c = 5:6, what is a:c?
View QuestionIf x:y = 4:5 and y:z = 2:3, what is x:z?
View QuestionHow many ways can 4 people sit in a row?
View QuestionWhat is the probability of drawing an ace from a standard deck of 52 cards?
View Question