Edexcel AS and A Level Mathematics (PURE) Year 1 - All Chapters Revision Questions & Answers 2024/2025

Edexcel AS and A Level Mathematics (PURE) Year 1 - All Chapters Revision Questions & Answers 2024/2025 *Chapter 1.1 - Index Laws*: What is a base? - ANS-The number having the power applied to it *Chapter 1.1 - Index Laws*: What is an index, power or exponent? - ANS-The operation being applied to the base *Chapter 1.1 - Index Laws*: What is the result when multiplying the same bases of different powers? - ANS-You add the powers E.g a^m x a^n = a^m+n *Chapter 1.1 - Index Laws*: What is the result when dividing the same base of different powers? - ANS-You subtract the powers E.g a^m / a^n = a^m-n *Chapter 1.1 - Index Laws*: What is the result when applying a power to a base with a power already? - ANS-You multiply the powers E.g (a^m)^n = a^mn *Chapter 1.1 - Index Laws*: What is having two bases in a bracket with a power applied also equivalent to? - ANS-The individual bases to the power on their own E.g (ab)^n = (a^n)*b^n) *Chapter 1.2 - Expanding Brackets*: To find the product of two expressions, you.... - ANS-...Multiply each term in one expression by each term in the other expression *Chapter 1.2 - Expanding Brackets*: How do we expand brackets? - ANS- *Chapter 1.3 - Factorising*: What is a product of factors? - ANS-The multipliers used to achieve the final answer *Chapter 1.3 - Factorising*: What is factorising? - ANS-The opposite of expanding brackets *Chapter 1.3 - Factorising*: A quadratic expression has the form... - ANS-ax^2 + bx + c Where a, b and c are real values and a does not equal 0 *Chapter 1.3 - Factorising*: How do we factorise a quadratic expression? - ANS-- Find two factors of ac that add up to b - Rewrite the b term as a sum of these row factors - Factorise each pair of terms - Take out the common factor x^2 - y^2 = (x + y)(x - y) *Chapter 1.4 - Negative and Fractional Indices*: Indices can be.... - ANS-negative numbers or fractions *Chapter 1.4 - Negative and Fractional Indices*: What is the result of applying a fractional power with numerator 1 to a base? - ANS-The denominator is the root power E.g a^(1/m) = m[root]a *Chapter 1.4 - Negative and Fractional Indices*: What is the result of applying a fractional power with numerator n to a base? - ANS-The numerator is the power applied to the base and the denominator is the root power E.g a^(n/m) = m[root]a^n *Chapter 1.4 - Negative and Fractional Indices*: What is the result of applying a negative power to a base? - ANS-The answer is the reciprocal of the base and power (excluding the negative) E.g a^-m *Chapter 1.4 - Negative and Fractional Indices*: What is the result of applying a power of 0 to a base? - ANS-The answer is 1 a^0 = 1 *Chapter 1.5 - Surds*: What is a surd? - ANS-If n is an interger that is not a square number, then any multiple of [root]n E.g [root]2, [root]10, 5[root]2