2022 Maths Extension 1 HSC exam paper complete worked solutions

Sample solutions: © The Maths Studio (themathsstudio.net)
Source: © NSW Education Standards Authority

Disclaimer: These sample solutions are intended as a guide only and do not necessarily represent the best way to answer the questions, nor is there any guarantee of accuracy.

Index of Questions
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** Section I (Multiple Choice) **
0:00:12 - Q1 (ME-T1 Inverse Trigonometric Functions)
0:01:37 - Q2 (ME-F1 Further Work with Functions)
0:02:52 - Q3 (ME-F2 Polynomials)
0:03:58 - Q4 (ME-F1 Further Work with Functions)
0:05:05 - Q5 (ME-F1 Further Work with Functions)
0:06:16 - Q6 (ME-V1 Introduction to Vectors)
0:07:53 - Q7 (ME-A1 Working with Combinatorics)
0:09:25 - Q8 (ME-V1 Introduction to Vectors)
0:11:05 - Q9 (ME-C2 Further Calculus Skills)
0:13:45 - Q10 (ME-C3 Applications of Calculus)

** Section II **
0:15:30 - Q11ai (1 mark, ME-V1 Introduction to Vectors)
0:16:25 - Q11aii (1 mark, ME-V1 Introduction to Vectors)
0:17:13 - Q11b (3 marks, ME-C2 Further Calculus Skills)
0:19:20 - Q11c (2 marks, ME-A1 Working with Combinatorics)
0:21:46 - Q11d (2 marks, ME-V1 Introduction to Vectors)
0:23:15 - Q11e (3 marks, ME-T3 Trigonometric Equations)
0:25:55 - Q11f (3 marks, ME-F1 Further Work with Functions)

0:28:08 - Q12a (2 marks, ME-C3 Applications of Calculus)
0:30:19 - Q12b (2 marks, ME-A1 Working with Combinatorics)
0:31:50 - Q12c (3 marks, ME-C2 Further Calculus Skills)
0:34:15 - Q12di (3 marks, ME-C3 Applications of Calculus)
0:37:51 - Q12dii (1 mark, ME-C1 Rate of Change)
0:39:36 - Q12e (2 marks, ME-S1 The Binomial Distribution)
0:41:26 - Q12f (3 marks, ME-P1 Proof by Mathematical Induction)

0:44:14 - Q13a (3 marks, ME-V1 Introduction to Vectors)
0:46:32 - Q13b (3 marks, ME-C3 Applications of Calculus)
0:50:37 - Q13c (2 marks, ME-T1 Inverse Trigonometric Functions)
0:52:50 - Q13d (3 marks, ME-F2 Polynomials)
0:56:47 - Q13ei (2 marks, ME-S1 The Binomial Distribution)
0:59:03 - Q13eii (1 mark, ME-S1 The Binomial Distribution)

1:00:12 - Q14a (4 marks, ME-C3 Applications of Calculus)
1:03:59 - Q14b (3 marks, ME-V1 Introduction to Vectors)
1:06:25 - Q14c (4 marks, ME-V1 Introduction to Vectors)
1:14:28 - Q14d (4 marks, ME-S1 The Binomial Distribution)