(PURE) Exam Questions and Answers
2024 Review 100% Pass
*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