Free Practice Questions for TASC General Mathematics Level 3
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Key Facts: TASC General Mathematics Level 3 Exam
TASC Course Code
TCE Credit Points
External Exam Duration
Syllabus Sections
Target Grades
TASC General Mathematics Level 3 (MTG315123) is a senior secondary TCE Level 3 course assessing consumer finance, linear models, trigonometry, matrices, network analytics, and statistics for ATAR pathways in Tasmania. These practice questions are an English-language multiple-choice study aid for revising course knowledge and are not an official TASC paper or a simulation of the written external examination format.
Sample TASC General Mathematics Level 3 Practice Questions
Try these sample questions to review concepts for the TASC General Mathematics Level 3 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1An investor deposits $8,500 into a fixed deposit account earning 4.2% per annum simple interest for 3.5 years. Calculate the total interest earned.
2A principal of $12,000 is invested at an interest rate of 6.0% p.a. compounded quarterly for 2 years. What is the final value of the investment rounded to the nearest cent?
3A bank offers a nominal interest rate of 7.2% per annum compounded monthly. What is the effective annual interest rate (EAR) rounded to two decimal places?
4A delivery van purchased for $45,000 depreciates by $4,200 each year using flat rate (prime cost) depreciation. What is its book value after 6 years?
5Industrial machinery costing $80,000 depreciates at a reducing balance rate of 15% per annum. Calculate the value of the machinery at the end of 4 years, rounded to the nearest dollar.
6An item costs $250 today. If the average inflation rate is 3.5% per annum, how much will the same item be expected to cost in 5 years time?
7A loan of $20,000 is taken out at 6% p.a. interest compounding monthly, with monthly repayments of $400. The recurrence relation model is V_0 = 20000, V_{n+1} = 1.005 V_n - 400. Calculate the balance outstanding after 2 months (V_2).
8An endowment fund is established to pay an annual scholarship of $6,000 indefinitely. If the investment earns a guaranteed rate of 4.8% p.a., what principal amount must be invested in the perpetuity?
9Sarah deposits $500 at the end of every month into a savings annuity account earning 6% p.a. interest compounded monthly. What is the total value of her annuity after 3 years (36 payments), rounded to the nearest dollar?
10A portion of a loan amortisation schedule shows an opening balance of $15,000. The monthly interest rate is 0.5% and the monthly payment is $350. How much of the first monthly payment goes towards reducing the principal?
About the TASC General Mathematics Level 3 Exam
TASC General Mathematics Level 3 (Course Code: MTG315123) is a senior secondary mathematics course delivered under the Tasmanian Assessment, Standards and Certification framework. It provides students with mathematical knowledge, skills, and understanding to solve real-world quantitative problems in financial, social, spatial, and data analysis contexts. Designed for Year 11 and Year 12 students pursuing tertiary pathways or specialized vocational trajectories requiring applied mathematical fluency, the course spans five primary content areas: Consumer Arithmetic & Financial Mathematics, Linear Models, Sequences & Recurrence Relations, Applied Geometry, Trigonometry & Scale Drawings, Matrices, Networks & Graph Theory, and Univariate & Bivariate Data Analysis. The course contributes 15 credit points toward the Tasmanian Certificate of Education (TCE) at Level 3 and contributes directly to Tertiary Entrance Scores (ATAR calculations). Assessment includes internal school-based assignments, folio investigations, and a standardized 3-hour written external examination.
Exam sponsor: Tasmanian Assessment, Standards and Certification (TASC). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
The official TASC external examination is a 3-hour written paper comprising short answer, structured problem-solving, and numerical applications. Our 100-question practice bank covers all five syllabus content areas with step-by-step worked solutions.
Time Limit
Recommended 180 minutes for full 100-question practice assessment.
Passing Score
Satisfactory Achievement (SA) or higher (award scale EA–LA)
Exam / Certification Fees
Included in standard Tasmanian secondary school enrolment / TASC course delivery.
Exam sponsor websiteFees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.
Our practice resources: topics covered
We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.
Syllabus Topic Module 1
Simple and compound interest calculations, effective annual interest rates, reducing balance loans, annuities, perpetuities, inflation, purchasing power, and asset depreciation.
Syllabus Topic Module 2
Arithmetic and geometric sequences, first-order linear recurrence relations, linear equations and piecewise linear modeling, simultaneous equations, break-even analysis, and linear interpolation.
Syllabus Topic Module 3
Sine and cosine rules, area of triangles using sine, bearings and navigation, angles of elevation and depression, 3D Pythagoras, surface area, volume mensuration, and scale factor conversions.
Syllabus Topic Module 4
Matrix operations and matrix multiplication, transition/Markov matrices, network topology, minimum spanning trees (Kruskal/Prim), Eulerian and Hamiltonian paths, critical path analysis (earliest/latest start times, float), and maximum flow networks.
Syllabus Topic Module 5
Summary statistics (mean, median, IQR, standard deviation), box plot construction, scatter plots, Pearson's correlation coefficient (r), least-squares regression line calculation, residual analysis, time series smoothing, seasonal adjustment, and standard normal distribution z-scores.
Preparing for the TASC General Mathematics Level 3 Exam
What You Need to Know
- Passing score: Satisfactory Achievement (SA) or higher (award scale EA–LA)
- Assessment: The official TASC external examination is a 3-hour written paper comprising short answer, structured problem-solving, and numerical applications. Our 100-question practice bank covers all five syllabus content areas with step-by-step worked solutions.
- Time limit: Recommended 180 minutes for full 100-question practice assessment.
- Exam / certification fees: Included in standard Tasmanian secondary school enrolment / TASC course delivery. Official sources
Using Our Practice Resources
- Work through all 100 available questions
- Review every answer and explanation
- Track weak areas and revisit them
- Use our AI tutor for tough concepts
Frequently Asked Questions
What is TASC General Mathematics Level 3 (MTG315123)?
TASC General Mathematics Level 3 is a pre-tertiary senior secondary subject in Tasmania worth 15 TCE credits. It focuses on practical mathematical applications across financial mathematics, linear modeling, trigonometry, networks, and statistical analysis.
How is the course assessed for TCE and ATAR?
Assessment consists of school-based internal assessments (70% weighting of overall rating indicators) and a 3-hour external written examination conducted state-wide in Term 4 by TASC.
Are approved graphics calculators allowed in the TASC examination?
Yes, TASC allows approved graphics / CAS calculators or scientific calculators in the external examination paper for General Mathematics Level 3.
What award scale is used for TASC General Mathematics Level 3?
TASC awards overall course results using five award levels: Exceptional Achievement (EA), High Achievement (HA), Commendable Achievement (CA), Satisfactory Achievement (SA), and Preliminary Achievement (PA).
How does this practice bank help prepare for MTG315123?
This 100-question practice bank mirrors the syllabus content weightings and question formats, complete with full step-by-step worked mathematical solutions and distractor explanations for targeted revision.