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2026 SACE Essential Mathematics exam: What to learn from last year's mistakes
Exam: Friday 6 November 2026, 1.30 pm. South Australia local time.
I've gone through last year's examiner advice. The recurring problem wasn't just calculator use. Students needed to choose the right model, explain what a result meant and keep the context attached. The report doesn't publish an overall mean or question averages.
1. Q1(a): Zero ordinates still belong in Simpson's Rule
Where students went wrong
Leaving out the zero measurements at the ends.
What they should have done
Write the complete ordered list of ordinates before applying the weights. An endpoint of zero still occupies a position; removing it shifts the pattern for the other values.
For a separate revision example with three equally spaced ordinates 0, 6 and 0, use h/3 × (0 + 4×6 + 0). This illustrates the method, not the original exam's measurements.
2. Q4(a): Name the bias and explain its effect
Where students went wrong
Identifying a source of bias without explaining how it could distort the results.
What they should have done
State who is overrepresented or excluded, then connect that to the estimate being made. “The sample is biased” is a label, not an explanation.
For example, surveying only early-morning customers may miss shoppers with different routines. Whether that changes the estimate depends on the variable being measured; explain the relevant link rather than assuming every sample limitation has the same effect.
3. Q6(e): Describe the variables, not just the sign
Where students went wrong
Writing only that the relationship was negative.
What they should have done
State that as one named variable increases, the other tends to decrease. Use the actual variables in the question. For a prediction, also check whether the input lies within the observed range and whether the output is meaningful.
A fitted line can produce a number outside the data range. That doesn't make the prediction reliable. A negative result for a quantity that cannot be negative is a reason to question the model's use there.
4. Q7: Interest earned is different from the final balance
Where students went wrong
Some used compound interest where simple interest was required or struggled to separate interest from the accumulated balance.
What they should have done
Read the account conditions first. Match the rate and time units, show the calculator inputs or formula, and subtract the money contributed when finding interest earned. Include all deposits if there are regular contributions.
Before comparing options, check the required initial deposit, target balance and withdrawal restrictions. The mathematically larger balance isn't automatically the feasible choice for the person described.
Source: 2025 Essential Mathematics examiner advice. Check the official subject resources and 2026 timetable.
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