**Mathematics**

This test assesses year-level appropriate mathematical knowledge (quoted by the SEU however over the years it has been known to be unreasonably harsh) Numbers, measurement, space and data are assessed.Mathematics was the subtest where most students tended to struggle on. It comprised of 60 questions with a time limit of 30 minutes. You don't need to answer all questions without blindly guessing to attain a superior for this exam. A raw score of 35/60 may be high enough to get a superior. The questions in the mathematics subtest can be solved systematically, whereas numerical assessed your ability to reason with numbers in a logical approach. If you have your year 10 maths under your belt you should do well on this exam. The content list below may seem like a long list, but if you dedicate enough time into studying for it, it's definitely manageable. Also note sometimes it's easier substituting the options when answering the questions, or solving by trial and error. And especially for mathematics, don't spend too much time on one question, and when blindly guessing consider look-alike options (whether they are look-alike because they share similar factors, properties etc..) Usually one of the look-alike options will be correct. Remember, don't be overwhelmed by the questions presented in the maths exam as well, if you struggle chances are there are a lot of other students struggling as well.

**Content Descriptors**Number and algebra: - Financial Maths

Simple interest

Compound interest

Loan repayment

Contribution of money

Deprecation

- Scientific notation and set builder notation

Notations such as R, Z, N, Q, P (R=real numbers, Z=integers, N=natural numbers, Q=rational numbers, P=irrational numbers.)

Union and intersection (∪ / ∩) (or / and)

Elements (∈)

Scientific notation (know how to express each number in sci note./standard form etc.)

- Logarithms/Exponentials

Basic logarithm such as log3 27=3

Conversion between bases (eg. decimal to binary etc.)

- Parabolas

Vertex form

General form

Discriminator

Sketching and identifying important features (x/y intercept, vertex/turning point)

Finding the turning point from just equation (-b/2a, f(-b/2a))

- Quadratics

Expand (apply algebraic identities)

Factorise (know your shortcuts)

Solve for pronumeral

Complete the square

- Polynomials

Factor and remainder theorem (questions like which is not a factor of <insert algebraic expression>)

Function notation (brief understanding how to sketch polynomials, parabola etc.)

Find the degree of a polynomial

Factorise, expand and solve

- Linear and non linear relationships

Simultaneous equations (when two equations intersect) - (substitution and elimination)

Midpoints

Equations of perpendicular and parallel lines

Distance formula (distance between two coordinates)

Inverse and direct proportion and ratios/rates

Inequalities (compound, quadratic, absolute value, linear)

Know how to graph basic quadratics, linear equations and inequalities

Know how to solve basic cubic equations (can easily solve by just subbing the options)

- Surds and roots

Multiply and divide surds

Add and subtract surds

Order surds (largest to smallest etc..)

Simplify surds

Convert surds/roots into exponents (eg.2=21/2)

Rationalise the denominator

- Algebraic Identities (

click here)

Exponential rules (a^m * a^n=a^(m+n), aman=a(m-n), (a^m)^n=a(mn), etc..) & fractional indices

Difference of squares a^2-b^2=(a+b)(a-b)

Difference of cubes a^3-b^3=(a-b)(a^2+ab+b^2)

Memorise expansions of expressions such as (a+b)^2, (a-b)^2, etc..

Measurement and geometry: - Triangle Similarities and Congruence

Triangle proportionality theorem

Midsegment theorem

Angle bisector theorem

- Circle Theorems

Angle and chord properties of circles

Cyclic Quadrilaterals

Inscribed triangles

Tangents

General theorems;

click here- Trigonometry

Solve right-angled problems using Pythagoras' Theorem and Trigonometry

Angle of elevation and depression

SOH CAH TOA (Sine/sin, Cosine/cos, Tangent/tan)

Exact values Sin(90°)=1, Cos(60°)=0.5 etc..

- Units of measurement

Convert metric units of speed, capacity, volume and area.

Solve problems involving volume, surface area, area, perimeter.

Solve distance and time problems

Basic kinematics (find time when two objects meet opp/same direction)

- Geometric Properties

Sum of interior and exterior angles

Number of diagonals in a polygon

Angles in transversal and parallel lines (co interior, corresponding, alternate)

Quadrilateral Properties

Statistics and probability: - Sets and data

Interquartile range

Mean

Median

Mode

- Collection of data

Venn diagram

Contingency table

Bar graphs

Line graphs

Box plots

Stem and leaf plots

- Probability

Conditional Probability

Card, dice and coin probability

Tree diagrams

Experiments with and without replacement

Permutations and combinations

Selections involving identical items