EDEXCEL AS AND A LEVEL MATHEMATICS (PURE)
YEAR 1 - ALL CHAPTERS REVISION QUESTIONS
AND ANSWERS LATEST UPDATE.
chapter 1.1 - index laws: what is a base?
the number having the power applied to it
chapter 1.1 - index laws: what is an index, power or exponent?
the operation being applied to the base
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chapter 1.1 - index laws: what is the result when multiplying the same bases of different powers?
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?
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?
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?
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....
...multiply each term in one expression by each term in the other expression
chapter 1.2 - expanding brackets: how do we expand brackets?
chapter 1.3 - factorising: what is a product of factors?
the multipliers used to achieve the final answer
chapter 1.3 - factorising: what is factorising?
the opposite of expanding brackets
chapter 1.3 - factorising: a quadratic expression has the form...
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?
- 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....
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?
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