# VCAA Methods Sample Exam Solutions

Below are some VCAA Methods exam solutions to past exam questions.

### Functions & Relations – Composite Functions

The video below is from the Composite Functions sub topic. It has the solution to Question 22 from the 2015 VCAA Maths Methods Multi-Choice exam.
It’s one of the more difficult questions involving Composite Functions and was not answered well – 35% of students answered it correctly.

### Logs & Exponentials – Solving Equations

This type of question relies on an understanding of the log laws – 44% of students answered it correctly.

### Circular Functions – Solving Equations

The video below is from the Solving Equations sub topic. It has my solution to Question 21 from the 2007 VCAA Maths Methods Multi Choice exam.
This type of question relies on an understanding of the maximum and minimum value that a cos function can have – 27% of students answered it correctly.

### Applications Differentiation – Stationary Points

The video below is from the Stationary Points sub topic. It has my solution to Question 11 from the 2003 VCAA Maths Methods Short Answer exam.
This type of question relies on an understanding of the notation and Stationary Point concepts – 60% of students answered this question correctly.

### Integration – Find the Area Between the Graph & the X-axis

The video below is from the Area between a Graph and the X-axis sub topic. It has my solution to Question 3 from the 2014 VCAA Maths Methods Multi Choice exam.
This type of question relies on an understanding of the total area between a graph and the x-axis – 60% of students answered this question correctly.

### Binomial Distribution – Conditional Probablity

The video below is from the Conditional Probability sub topic. It has the solution to Question 9 from the 2013 VCAA Maths Methods Multi Choice exam.
This type of question relies on an understanding of the need to use the conditional probability formula – 58% of students answered this question correctly.

### The Normal Distribution – Find Value of Pronumeral

The video below is from the Find the Value of Pronumerals sub topic. It has my solution to Question 4 from the 2018 VCAA Maths Methods Multi Choice exam.
This type of question relies on an understanding of the basic method of finding a probability value and how to use symmetry to find the value of a pronumeral – 79% of students answered part a correctly and 41% answered part b correctly.