VCE General Maths practice exams and worked solutions

What the course asks of you

Data analysis

Summary statistics, boxplots, associations and least squares regression.

Recursion and finance

Loans, annuities and investments modelled step by step.

Matrices

Transition matrices and the long-run behaviour of a system.

Networks

Shortest paths, minimum spanning trees, flows and project scheduling.

Sample questions

Written for this site, in the style of the exam. Answer first, then see the model response and what the marks were for.

1. Question 1

   1 mark

   The five-number summary for a set of data is 12, 18, 24, 31, 58. Using the standard rule, the upper fence for outliers is:
   A. 44.5B. 50.5C. 58.0D. 63.5
   Check answer

2. Question 2

   4 marks

   A loan of $25,000 is taken out at an interest rate of 6% per annum compounding monthly, with repayments of $500 made at the end of each month. a. Calculate the balance of the loan after the first repayment. b. Explain why the amount of each repayment that goes towards the principal increases over the life of the loan.
   Show the model answer

3. Question 3

   3 marks

   A transition matrix T describes the movement of customers between two supermarkets, A and B, from one week to the next. Explain what it means if the state matrix reaches a steady state, and describe how you would find it.
   Show the model answer

4. Question 4

   2 marks

   In a project network, an activity has an earliest start time of 8 days and a latest start time of 13 days. State the float time for this activity and explain what it means for the project.
   Show the model answer