§ Year 11 · General Mathematics · QCAA Senior
Year 11 General Maths.
Underrated as easy. Rewards the students who actually do the work.
General Maths is treated as the friendlier alternative to Methods. It is friendlier — but it is not easy. The content is genuinely useful (interest rates, statistics, measurement) and the assessment criteria are unforgiving of sloppy working. Year 11 is formative, but Year 12 General contributes 100% to your final result and Term 1 of Year 12 builds straight on top of what you do this year.
100% online·Sessions on Google Meet, anywhere in Queensland
§ What Year 11 covers
The syllabus, in plain English.
Year 11 General Maths covers QCAA Units 1 and 2. Unit 1 (Money, measurement, algebra and linear equations) runs Terms 1 and 2 — consumer arithmetic, shape and measurement, linear equations and their graphs. Unit 2 (Applications of linear equations and trigonometry, matrices and univariate data) runs Terms 3 and 4 — trigonometry of right and non-right triangles, matrix operations, and one-variable statistics. None of these IAs count toward ATAR. Every topic returns in Year 12 in heavier form.
Unit 1: Money, measurement, algebra and linear equations
- Consumer arithmetic — percentages, GST, simple interest, discounts
- Shape and measurement — perimeter, area and volume of composite shapes; Pythagoras
- Linear equations and their graphs — gradient, y-intercept, simultaneous equations
- Unit conversions and applications of rates
Unit 2: Applications of trigonometry, matrices and univariate data
- Right-angled trigonometry — SOH-CAH-TOA, angles of elevation and depression
- Non-right triangles — sine rule, cosine rule, area of a triangle
- Matrices — addition, scalar multiplication, matrix multiplication up to 3×3
- Univariate data analysis — mean, median, standard deviation, five-number summary, boxplots, outlier detection
§ Assessment
Schools typically run three or four assessments across Year 11 General. All are formative — they do not contribute to ATAR. The school uses them to set expectations and confirm Year 12 subject selection.
Unit 1 examination
Formative
Supervised exam covering consumer arithmetic, measurement, and linear equations. Usually sat at the end of Term 2. Same calculator-free + calculator-allowed split as the Year 12 internals.
Problem-solving and modelling task (practice)
Formative
A practice PSMT under the four Year 12 criteria — formulate, solve, evaluate, communicate. Often a consumer finance or measurement context. Treat it as a dress rehearsal.
Unit 2 examination
Formative
End-of-year exam covering trigonometry, matrices and univariate data. The closest predictor the school has of Year 12 performance.
§ Where Year 11s get stuck
Common pitfalls — and how to dodge them.
Simple interest vs compound interest confused
Simple interest is I = Prt, calculated only on the principal. Compound interest is A = P(1 + r/n)^(nt), calculated on principal plus accumulated interest. $5000 at 6% for 3 years gives $900 simple ($5900 total) but $954.91 compound ($5954.91 total). Students mix the two formulas under time pressure and the cascade ruins the whole question.
Sine rule used when the cosine rule is needed
Sine rule applies when you have a known angle-side pair plus one more side or angle. Cosine rule applies when you have two sides and the included angle (SAS) or three sides (SSS). Picking sine rule for an SAS triangle gets you stuck immediately with two unknowns and one equation.
Standard deviation calculated with n instead of n−1
For a sample (which is what every QCAA dataset is) you use the sample standard deviation, which divides by n−1, not n. Calculators have both buttons (often labelled σ for population and s or sx for sample). Pick the wrong one and you lose marks on every standard-deviation question for the rest of the unit.
Reading angles of depression as if they were measured from vertical
Angle of depression is always measured from the horizontal, looking down. Students sometimes draw the angle from the vertical line of sight and end up using the wrong side ratio. Always: draw the diagram, mark the horizontal, then mark the angle below it.
Matrix multiplication done the wrong way around
Matrix multiplication is not commutative. AB ≠ BA in general. To multiply, the number of columns in A must equal the number of rows in B. A (2×3) times a (3×4) gives a (2×4). Students who try (3×4) times (2×3) get nowhere and lose all method marks. Check the dimensions before you compute.
GST added when GST should be extracted
If a price is "GST inclusive at 10%," the GST component is price ÷ 11 (not price × 0.10). $110 inclusive means $10 GST and $100 base. Students who multiply by 0.10 get $11 GST out of a $110 total, which is wrong. The "extract GST" question is graded specifically because the trap is so common.
§ Worked examples
A question. A walkthrough. The marks.
Example 1
Compound interest with monthly compounding
The question
Mia invests $8000 at 4.8% per annum compounded monthly for 5 years. What is the value of the investment at the end of 5 years? Round to the nearest cent.
Walkthrough
Step 1 — Identify the formula and inputs. A = P(1 + r/n)^(nt), where P = 8000, r = 0.048, n = 12 (compounded monthly), t = 5. Step 2 — Substitute. A = 8000(1 + 0.048/12)^(12·5) = 8000(1 + 0.004)^60 = 8000(1.004)^60. Step 3 — Evaluate (1.004)^60. Using a calculator, (1.004)^60 ≈ 1.270690. Step 4 — Multiply. A = 8000 × 1.270690 ≈ $10,165.52. Verification using a quick sanity check: 4.8% per year over 5 years is roughly 24% simple, giving about $1920 of simple interest and a total of $9920. The compound figure should be slightly higher because of compounding on accumulated interest — $10,163.91 is consistent. ✓ Common mark loss: students plug in 4.8 instead of 0.048 for r, or forget to multiply n × t in the exponent. Both errors are graded.
Example 2
Cosine rule for SAS triangle
The question
In triangle ABC, side a = 8 cm, side c = 6 cm, and the angle at vertex B (between sides a and c) is 52°. Find side b. Round to two decimal places.
Walkthrough
Step 1 — Identify the case. We have two sides (a = 8, c = 6) and the included angle (B = 52°). This is SAS, so cosine rule applies: b² = a² + c² − 2ac·cos(B). Step 2 — Substitute. b² = 8² + 6² − 2(8)(6)·cos(52°) = 64 + 36 − 96·cos(52°). Step 3 — Evaluate cos(52°) ≈ 0.6157. So b² = 100 − 96(0.6157) = 100 − 59.107 ≈ 40.893. Step 4 — Take the square root. b ≈ √40.893 ≈ 6.39 cm. Verification: the answer should be between |a − c| = 2 and a + c = 14 by the triangle inequality. 6.39 sits comfortably in that range. ✓ Sanity check: if B had been 90°, the answer would be √(64+36) = 10 (Pythagoras). At 52° the triangle is "narrower" so b < 10. ✓
§ Why Pythora for Year 11 General Maths
Not generic tutoring. Specifically this.
Tutors who took General Maths seriously
Plenty of tutoring services treat General as the subject they assign to the least-experienced tutor. We do not. Every Pythora General Maths tutor knows the QCAA syllabus cold and has worked through the IA criteria themselves. The result: your child is not the test case.
PSMT scaffolding before it counts
Most schools run a practice PSMT in Year 11 General. We treat it as a dress rehearsal for the Year 12 IA1. By the time the real one lands, the modelling cycle, the assumptions, the evaluation criteria — all familiar.
Finance taught as something you will use
Consumer arithmetic, simple and compound interest, GST — this is the maths your child will actually use to manage a payslip and a savings account. We teach it as such. Engagement matters in General, and engagement comes from seeing the point.
A written recap of every session, inside six minutes
You see what was covered, where the student struggled, what was set as homework, and what the next session will focus on. Automatically. Every lesson.
§ Real student
“I switched from Methods to General at the end of Term 1 and was worried I had wasted my year. By the Unit 2 exam I was actually one of the top students. My tutor pushed me harder than my class did.”
§ Where this fits
One step on the path.
Year 10 Maths covers basic algebra, statistics, and an introduction to trigonometry. Year 11 General builds applied versions — finance, surveying-style trig, matrices, real-data statistics. Year 12 then layers bivariate data, time series, financial recurrences and networks on top. Year 11 gaps surface immediately in Year 12 Term 1.
Builds from
Year 10 MathematicsLeads to
Year 12 General Mathematics§ Questions
Frequently asked.
If Year 11 General Maths IAs don't count toward ATAR, does it matter how I do?
Yes. The Year 12 IAs and external test every Unit 1 and Unit 2 concept embedded inside heavier topics. Compound interest reappears as financial recurrences. Univariate statistics scaffolds bivariate data. Trigonometry shows up in Earth geometry. A weak Year 11 leaves you trying to catch up while everyone else moves forward in Year 12 — and Year 12 General is 100% internal and external assessed.
Should my child be in General or Methods?
If they want to study engineering, physics, computer science, finance, economics or biomedicine at university, Methods is usually required or strongly preferred. If they are heading toward humanities, nursing, education, design, trades or unsure, General is a sensible choice and will not close doors. Mid-Term-1 of Year 11 is the standard switch window for students who took Methods and are drowning. Talk to the school early.
My child says General Maths is easy. Should we even bother with tutoring?
If they are consistently scoring band As without effort, perhaps not yet. If they are scoring band Bs or Cs and saying it's easy, the gap is usually in the working out (which is graded heavily on every IA) rather than the answers. A few sessions on presentation, justification and graph drawing usually adds a band by the next assessment.
How long does a Year 11 General Maths session take?
Sixty minutes online via Google Meet, weekly. The tutor opens by checking what topic class is on and what assessment is coming. Sessions are practical — worked examples, a problem set tackled together, homework set for the week. A written recap arrives in your inbox inside six minutes of the lesson ending.
How much does Year 11 General Mathematics tutoring cost?
Year 11 General Maths is $85 per hour as a senior QCAA subject. Billed weekly for completed sessions, no lock-in. Every new family gets a free trial session with their matched tutor first.
Year 11 General Maths.
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