Edexcel AS and A Level Mathematics (PURE)
Year 1 - All Chapters Revision Questions
*Chapter 1.1 - Index Laws*: What is a base? - answer-The number having the power applied to
it
*Chapter 1.1 - Index Laws*: What is an index, power or exponent? - answer-The operation
being applied to the base
*Chapter 1.1 - Index Laws*: What is the result when multiplying the same bases of different
powers? - answer-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?
- answer-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? - answer-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? - answer-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.... -
answer-...Multiply each term in one expression by each term in the other expression
*Chapter 1.2 - Expanding Brackets*: How do we expand brackets? - answer-
*Chapter 1.3 - Factorising*: What is a product of factors? - answer-The multipliers used to
achieve the final answer
*Chapter 1.3 - Factorising*: What is factorising? - answer-The opposite of expanding brackets
*Chapter 1.3 - Factorising*: A quadratic expression has the form... - answer-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? - answer-- 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.... - answer-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? - answer-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? - answer-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? - answer-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? - answer-The answer is 1
a^0 = 1
*Chapter 1.5 - Surds*: What is a surd? - answer-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
*Chapter 1.5 - Surds*: Surds are examples of.... - answer-Irrational numbers
*Chapter 1.5 - Surds*: What is an irrational number? - answer-The decimal expansion of a surd
is never ending and never repeats
E.g [root]2 = 1.414213562....
*Chapter 1.5 - Surds*: What can surds be used for? - answer-To write exact answers to
calculations
*Chapter 1.5 - Surds*: What is the surd manipulation multiplication rule? - answer-[root]ab =
[root]a x [root]b
*Chapter 1.5 - Surds*: What is the surd manipulation division rule? - answer-[root](a/b) =
[root]a/[root]b
*Chapter 1.6 - Rationalising Denominators*: If a fraction has a surd in the denominator, it is
sometimes useful to... - answer-rearrange it so that the denominator is a rational number
Year 1 - All Chapters Revision Questions
*Chapter 1.1 - Index Laws*: What is a base? - answer-The number having the power applied to
it
*Chapter 1.1 - Index Laws*: What is an index, power or exponent? - answer-The operation
being applied to the base
*Chapter 1.1 - Index Laws*: What is the result when multiplying the same bases of different
powers? - answer-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?
- answer-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? - answer-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? - answer-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.... -
answer-...Multiply each term in one expression by each term in the other expression
*Chapter 1.2 - Expanding Brackets*: How do we expand brackets? - answer-
*Chapter 1.3 - Factorising*: What is a product of factors? - answer-The multipliers used to
achieve the final answer
*Chapter 1.3 - Factorising*: What is factorising? - answer-The opposite of expanding brackets
*Chapter 1.3 - Factorising*: A quadratic expression has the form... - answer-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? - answer-- 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.... - answer-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? - answer-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? - answer-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? - answer-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? - answer-The answer is 1
a^0 = 1
*Chapter 1.5 - Surds*: What is a surd? - answer-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
*Chapter 1.5 - Surds*: Surds are examples of.... - answer-Irrational numbers
*Chapter 1.5 - Surds*: What is an irrational number? - answer-The decimal expansion of a surd
is never ending and never repeats
E.g [root]2 = 1.414213562....
*Chapter 1.5 - Surds*: What can surds be used for? - answer-To write exact answers to
calculations
*Chapter 1.5 - Surds*: What is the surd manipulation multiplication rule? - answer-[root]ab =
[root]a x [root]b
*Chapter 1.5 - Surds*: What is the surd manipulation division rule? - answer-[root](a/b) =
[root]a/[root]b
*Chapter 1.6 - Rationalising Denominators*: If a fraction has a surd in the denominator, it is
sometimes useful to... - answer-rearrange it so that the denominator is a rational number
