Pure Mathematics and Mechanics A Level Question Paper//Edexcel AS and A Level Mathematics (PURE) Year 1 - All Chapters Revision Questions

Pure Mathematics and Mechanics A Level Question Paper//Edexcel AS and A Level Mathematics (PURE) Year 1 - All Chapters Revision Questions

*Chapter 1.1 - Index Laws*: What is a base? - CORRECT ANSW-The number having the power applied to it

*Chapter 1.1 - Index Laws*: What is an index, power or exponent? - CORRECT ANSW-The operation being applied to the base

*Chapter 1.1 - Index Laws*: What is the result when multiplying the same bases of different powers? - CORRECT ANSW-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? - CORRECT ANSW-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? - CORRECT ANSW-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? - CORRECT ANSW-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.... - CORRECT ANSW-...Multiply each term in one expression by each term in the other expression

*Chapter 1.2 - Expanding Brackets*: How do we expand brackets? - CORRECT ANSW-

*Chapter 1.3 - Factorising*: What is a product of factors? - CORRECT ANSW-The multipliers used to achieve the final answer

*Chapter 1.3 - Factorising*: What is factorising? - CORRECT ANSW-The opposite of expanding brackets

*Chapter 1.3 - Factorising*: A quadratic expression has the form... - CORRECT ANSW-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? - CORRECT ANSW-- 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.... - CORRECT ANSW-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? - CORRECT ANSW-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? - CORRECT ANSW-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? - CORRECT ANSW-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? - CORRECT ANSW-The answer is 1

a^0 = 1