Year 10 Mathematics

The HCF (Highest Common Factor) is the largest common factor of two or more numbers, while the LCM (Lowest Common Multiple) is the smallest common multiple of two or more numbers. When finding the HCF and LCM of numbers, prime factors are used to identify the common factors and the least common multiple.

Percentages, fractions, and decimals are related concepts. Percentages can be converted to fractions or decimals, and vice versa. To calculate percentages, fractions, and decimals, you can use conversion formulas and understand their interrelationships to solve various problems involving these concepts.

Compound interest refers to the interest calculated on the initial principal and also on the accumulated interest from previous periods. It is significant because it allows for exponential growth of savings or debt. Compound interest is calculated using the formula A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the interest rate, n is the number of times interest is compounded per time period, and t is the time in years.

<p>Algebraic manipulation involves techniques such as factorization, expanding brackets, and solving quadratic equations. These techniques are used to simplify algebraic expressions, find roots of quadratic equations, and solve complex problems involving algebraic equations. By applying algebraic manipulation, one can simplify and solve equations involving factorization, expanding brackets, and quadratic equations.</p> Signup and view all the answers