Tiêu đề 2025 Caringbah High School - Adv - Trial - Questions.pdf ✅

Page | 1 CARINGBAH HIGH SCHOOL 2025 HIGHER SCHOOL CERTIFICATE TRIAL EXAMINATION Mathematics Advanced • Reading time – 10 minutes • Working time – 3 hours • Write using black pen. • Calculators approved by NESA may be used. • Reference sheet is provided. • For questions in Section II, show relevant mathematical reasoning and/or calculations. Section I – 10 marks (pages 3 - 6) • Attempt Questions 1–10 • Allow about 15 minutes for this section. • Answer the questions on page 37. Section II – 90 marks (pages 9 - 32) • Attempt Questions 11–33 • Allow about 2 hours and 45 minutes for this section. Student Number: Class: Marker’s Use Only Section I Section II Total Q1-10 11 - 15 16 - 19 20 - 23 24 - 26 27- 28 29 - 31 32-33 /10 /14 /14 /13 /15 /13 /12 /9 /100

Page | 4 4 If A and B are two independent events such that and , what is the value of ? (A) 0.6 (B) 0.7 (C) 0.8 (D) 0.9 5 The population of a type of bacteria is given by the equation , where P is the number of bacteria after t hours. What is the hourly percentage change in the population? (A) 0.3 (B) 0.35 (C) 30% (D) 35% 6 What is the domain of the function (A) (B) (C) (D)