Study Techniques

The Fundamentals of Percentages in GCSE Maths

Percentages, a fundamental concept in mathematics, hold a prominent place in GCSE Maths. In this comprehensive blog post, we’ll explore various aspects of percentages, from calculating percentages of an amount to understanding percentage gain or loss, increases and decreases, and delving into the realms of reverse percentages, simple interest, and compound interest.

Percentage of an Amount

Calculating a percentage of an amount involves multiplying the percentage by the given quantity.

Understanding Indices in GCSE Maths

Indices, also known as exponents, play a pivotal role in mathematics, offering a powerful shorthand for expressing repeated multiplication and division. In this exploration of indices for GCSE Maths, we’ll delve into essential concepts, demystifying the world of multiplying indices, dividing indices, handling negative indices, and embracing the intricacies of fractional indices and powers.

Multiplying Indices

Multiplying indices involves combining bases with the same exponent. The rule is simple: \(a^m \times a^n = a^{m+n}\). For example, \(2^3 \times 2^4 = 2^{3+4} = 2^7\).

Bridging the Gap Between Decimals, Fractions, and Percentages

Continuing our exploration into the world of fractions in GCSE Maths, we venture into the seamless interplay between decimals, fractions, and percentages. This bridge between numerical representations adds another layer of versatility to your mathematical toolkit.

Decimal to Fraction

Converting decimals to fractions involves expressing the decimal as a fractions with a power of 10 in the denominator. For instance, \(0.75\) becomes \(\frac{75}{100}\), which can be further simplified to \(\frac{3}{4}\).

Decimal to Percentage

Transforming decimals into percentages is a matter of multiplying the decimal by 100 and appending the percentage symbol. For example, \(0.6\) as a percentage is \(60%\).