EDEXCEL AS AND A LEVEL MATHEMATICS
(PURE) YEAR 1 – 2025 ALL CHAPTERS REVISION
QUESTIONS
*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 equivelent
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 rwo 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
(PURE) YEAR 1 – 2025 ALL CHAPTERS REVISION
QUESTIONS
*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 equivelent
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 rwo 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
