**Maths Tuition**

Most High School students struggle with Maths at one time or another; especially during the introduction of Algebra, and then Calculus. This is not something that is indicative of either failure or a lack of intelligence; it's simply an obstacle that can easily be overcome with some one-on-one tuition.
Sometimes we all just need things to be explained in another way - especially when it comes to mathematical concepts! All teenagers are differnt; and as such, they learn in different ways. At Master Tuition Centre we have always prided ourselves on being people who can explain mathematical concepts in a variety of ways. This helps ensure we can help the widest possible range of kids. At the moment, with the business not trading as a centre; the proprietor alone runs private tuition sessions out of the UWS Campus Library at Campbelltown. Her name is Alexis, and she currently tutors students in all years of secondary school, as well as some in first year University. For a list of current vacancies / available times, you can contact her by filling out the form in the contact section on this website; or emailing her direct at: mathsandsciencetutoring@gmail.com Below are some formula's that students often forget in Maths, and some pictorial examples of questions they will be asked to solve at some point throughout high school Maths. |

## MORE COMPLEX VOLUME FORMULAE (Sphere above).

## BASIC AREA FORMULAE

**Plus Rhombus Area = diagonal 1 x diagonal 2**

**DEFINITION OF SIMILAR TRIANGLES:**If their corresponding angles are all congruent and their corresponding sides are proportional.

**Below are some common formulas that can be forgotten at times:**

1. The Quadratic Formula

2. Pythagoras' Theorem

3. The Trigonometry Identity 1 Formula

4. The Trigonometry Identity 2 Formula

5. The Distance between 2 points (Coordinate Geometry)

6. The Midpoint between 2 points (Coordinate Geometry)

7. The Gradient Formula

8. The SINE Rule (Trigonometry)

9. The COSINE Rule - 2 Versions (Trigonometry)

## compound interest monthly/quarterly

__Working out credit card interest over a number of days also requires this type of alteration to the formula.__

**$10,000 at 6% p.a. calculated monthly for 4 years.**

__Compound Interest example:__r must become 0.06 / 12 and n must become 4 x 12 = 48

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**Interest charged at 19% p.a. calculated daily for 39 days.**

__Credit Card Example:__r must become the daily interest rate (0.19 / 365) divided by 100 and n = 39

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order of operations

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DATA CATEGORICAL DEFINITIONS

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Rationalising the denominator

**Calculating Interquartile range including outliers**

In this topic, you'll be asked to make a 5 point summary and draw ad whisker and box plot.

In order to do this, you need to be able to do some calculations to work out:

1. The median (Q2)

2. Q3 - the upper quartile

3. Q1 - the lower quartile

4. The minimum (Q1)

5. The maximum (Q5)

6. Outliers

Outlier calculation involves finding the range within which the standard scores lie. When drawing a whisker and box plot you'll draw your maximum as the next lowest score if the highest score is an outlier, for example.

Q1 - (1.5 x IQR) = lowest standard score

Q3 - (1.5 x IQR) = highest standard score

Outliers lie outside these defined boundaries; and that is the very definition of why they're called 'Outliers'.

The Interquartile Range is used along with the calculation of the mean and standard deviation to standardise scores - like in the HSC.