Edexcel AS and A Level Mathematics
(PURE) Year 1 - 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 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 1.1 - 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 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 multiplying the same bases of different
powers? - ANS- You add the powers
E.g a^m x a^n = a^m+n
*Chapter 1.2 - Expanding Brackets*: How do we expand brackets? - ANS-
*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 1.3 - 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 1.3 - 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 1.4 - 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*: Surds are examples of.... - ANS- Irrational numbers
*Chapter 1.5 - Surds*: What can surds be used for? - ANS- To write exact answers to
calculations
*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
(PURE) Year 1 - 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 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 1.1 - 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 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 multiplying the same bases of different
powers? - ANS- You add the powers
E.g a^m x a^n = a^m+n
*Chapter 1.2 - Expanding Brackets*: How do we expand brackets? - ANS-
*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 1.3 - 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 1.3 - 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 1.4 - 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*: Surds are examples of.... - ANS- Irrational numbers
*Chapter 1.5 - Surds*: What can surds be used for? - ANS- To write exact answers to
calculations
*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
