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EDEXCEL AS AND A LEVEL MATHEMATICS (PURE) YEAR 1 - ALL CHAPTERS REVISION QUESTIONS AND ANSWERS LATEST UPDATE.

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EDEXCEL AS AND A LEVEL MATHEMATICS (PURE) YEAR 1 - ALL CHAPTERS REVISION QUESTIONS AND ANSWERS LATEST UPDATE.

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EDEXCEL AS AND A LEVEL MATHEMATICS
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EDEXCEL AS AND A LEVEL MATHEMATICS

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August 12, 2024
Number of pages
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Written in
2024/2025
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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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