Financial Mathematics | HSC Advanced

Assessment evidence

What these examples cover

These examples show assessable skills, not an official HSC topic weighting or prediction. The 2024 NSW syllabuses have their first HSC examination in 2027; students sitting the 2026 HSC continue under the applicable 2017 syllabus.

Teacher check

Teacher verification note: check the mathematics, notation, permitted technology and syllabus fit for your cohort before classroom or assessment use.

3 deterministic examples

Financial Mathematics questions with worked solutions

Each question is generated from an existing curriq QDSL archetype at a fixed seed. Marks and catalog content mappings travel with the generated question.

Worked example 1

3 marksadv-m1-1

Arithmetic series Calculate the sum

10+(10+4)+...+246

Part a · 3 marks

Find the number of terms and hence calculate the sum.

Worked solution

Answer: 7680

Arithmetic Nth Term: 60
Arithmetic Series: 7680
Simplify: 7680

Catalog reference: adv_sgs24_arithmetic_series_sum_from_last_term · seed 41001

Worked example 2

2 marksadv-m1-2

Increasing annual allowance On a child's 10th birthday, an annual allowance of AUD 2000 begins. It increases by AUD 1000 each birthday.

Part a · 2 marks

Find the total received up to and including the 18th birthday.

Worked solution

Answer: 54000

Inclusive Term Count: 9
Arithmetic Series Sum: 54000

Catalog reference: adv_pem24_arithmetic_allowance_total · seed 41001

Worked example 3

1 markadv-m1-3

Seventh geometric term A positive geometric sequence begins with 6 and has ratio

1/sqrt(2)

. Find its seventh term.

Part a · 1 mark

Find the seventh term.

Worked solution

Answer: 3/4

Geometric Sequence Term: $3{{s}}(1/sqrt(2))^6$ .

Catalog reference: adv_pem23_q29b_seventh_geometric_term · seed 41001

Content mapping and common errors

Financial Mathematics content identifiers

M1.1

Modelling Financial Situations

Apply arithmetic and geometric sequences to financial contexts including compound interest and investments.

Common student mistakes

·Confusing arithmetic and geometric sequence formulas
·Incorrect identification of whether a sequence is arithmetic or geometric

Source and methodology

Examples are deterministic curriq catalog generations from existing QDSL archetypes at the published fixed seed. The generator copies only student-facing prompts, mark allocations, topic mappings, display tables or options, checked answers and marking-path results into this resource.

Review the official NSW Curriculum source ↗

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Study guide

HSC Financial Maths Standard 2 — Complete Study Guide

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Assessment

How to Write an HSC Maths Assessment Task

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What these examples cover

Financial Mathematics questions with worked solutions

Worked example 1

Worked example 2

Worked example 3

Financial Mathematics content identifiers

Modelling Financial Situations

Source and methodology

Other Advanced topics

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