Original questions for all eight topics: Examination 1 style multiple choice, and Examination 2 style questions with calculations checked by value and written answers read by Mia.
Examination 1
40 multiple-choice questions, 90 minutes
Examination 2
60 marks of short and extended answers, 90 minutes
Study score
Each examination 30%; coursework 40%
Technology
CAS and a scientific calculator, one bound reference
Try 4 questions
Question 1Examination 1 style
The lengths of 10-week-old barramundi on a fish farm are approximately normally distributed with a mean of 32 cm and a standard deviation of 3 cm. By the 68-95-99.7% rule, what percentage of these fish are between 29 cm and 38 cm long?
Question 2Examination 1 style
024681012304050607080Quarter numberTakings (thousands of dollars)
A cafe's quarterly takings, in thousands of dollars, from 2023 to 2025 were: 2023: 42, 55, 61, 38; 2024: 46, 60, 66, 41; 2025: 50, 63, 72, 45 (quarters 1 to 4 in order, in thousands of dollars). They are shown in the time series plot. Which features does the time series show?
Question 3Examination 1 style
T=[0.70.30.20.8] is a transition matrix for customers choosing between two cafes, A and B, each week. The columns are this week's cafe (A, then B) and the rows are next week's cafe (A, then B). What percentage of customers at cafe A this week will go to cafe B next week?
Question 4Examination 1 style
64378524693ABCDEFG
The network shows possible cable routes between seven towns, with lengths in kilometres. Which set of edges forms the minimum spanning tree?