Free Year 11 Exam technique Quiz — 10 Questions, Instant Results

Free practice quizzes › Year 11 Mathematical Methods quiz › Exam technique

What Year 11 students need to know about exam technique

A short orientation first. In Year 11 exam technique for Methods is about learning the two-exam structure early: technology-free working, reading questions carefully, showing method and managing time on a SAC.

Our tutors wrote and checked these questions against the VCE study design, which is why the wording and the difficulty match what a Year 11 student meets at school.

The usual exam technique errors at Year 11

If your child gets a question wrong here, it is worth checking whether one of these is behind it. They are the exam technique misconceptions RHZ tutors correct most often with Year 11 students:

• Method marks are lost because working is not shown.
• Time runs out on the extended-response section.
• Exact answers are rounded.

None of these is a sign of low ability. Each is a reasonable idea that worked in an earlier year and needs replacing, which is exactly what a good explanation, or a tutor, does.

How to practise exam technique at home

Practice works when it is short, regular and specific. For exam technique, our tutors suggest:

1. Write a personal formula sheet for Exam 1.
2. Do timed past papers from Term 2.
3. Mark against the examiners' report and note the common errors.

For VCE maths, fluency in the foundations frees up working memory for the extended questions. Do a short mixed set daily and a timed paper each fortnight.

How the 10 questions are chosen

Every set on this page is a seeded selection of 10 from the 12 exam technique questions that pass our quality gate. A different seed gives a different set, and there are many more combinations than any one student will need. The correct answers never appear in the page source; the browser asks our server for them after you press Mark my answers.

Use this page to answer one question well: is exam technique secure at Year 11 level? For the broader picture across every topic and every difficulty tier, the free Skills Check takes about fifteen minutes and produces a report a tutor walks you through.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 15785 · New set of questions →

Question 1

Exam technique

In a 'show that' question you must?

skip it show all working guess just the answer

Question 2

Exam technique

A question worth 3 marks usually needs?

a guess no working several steps of working one word

Question 3

Exam technique

A length answer should include?

units a name no units a colour

Question 4

Exam technique

In an exact-answer question, you should give?

any value a rounded decimal an exact value like 2√3 an estimate

Question 5

Exam technique

A good final step in a problem is to?

leave it blank erase working round randomly check the answer is reasonable

Question 6

Exam technique

A student solves a quadratic and writes x = −3 or x = 5 as the answer to 'Find the values of x for which f(x) = 0, given f(x) = x² − 2x − 15.' The question is worth 2 marks. Which response best earns full marks?

x = −3 or x = 5, stated without working, since the answer is correct x = 3 or x = −5, because the signs of the factors are swapped when reading from brackets x = −3 or x = 5, with working shown via factorisation or the quadratic formula x = −3 and x = 5, written as a single equation x² − 2x − 15 = 0 with no solution steps

Question 7

Exam technique

A Methods exam question asks: 'Find the exact value of sin(7π/6).' A student writes: sin(7π/6) = sin(π + π/6) = −sin(π/6) = −1/2. The answer is correct and the working is clear. The question is worth 2 marks. Which statement best describes this response from an exam-technique perspective?

The response is complete and would earn full marks because the exact value is correctly obtained with clear reasoning shown. The response would lose a mark because the student should verify the answer using a calculator. The response would lose a mark because the student must convert to degrees before applying the identity. The response is incomplete because the student has not stated which quadrant 7π/6 lies in before writing the answer.

Question 8

Exam technique

A 3-mark Methods question reads: 'Find the value of x, correct to 4 significant figures, for which ln(x) + ln(x − 2) = 1.' A student writes: ln(x(x−2)) = 1, so x(x−2) = e, then x² − 2x − e = 0, giving x = (2 ± √(4 + 4e))/2 = 1 ± √(1 + e). The student writes x = 1 + √(1 + e) ≈ 3.928 as the answer and discards the negative root. Which statement about this response is correct?

The response would lose a mark because the student must state the domain restriction before combining the logarithms. The response is incomplete because the student should test both roots numerically before rejecting one. The response is incorrect because both roots of the quadratic are valid solutions to the original equation. The response is complete and correct: the negative root is validly rejected because ln(x) requires x > 0 and x − 2 > 0, so x > 2, and x = 1 − √(1 + e) < 0 fails this domain restriction.

Question 9

Exam technique

3.14159 to 3 significant figures is?

3.2 3.142 3.14 3.141

Question 10

Exam technique

A Methods exam question reads: 'Find the exact value of x for which e^(2x) = 5.' A student writes: x = ln(5)/2 ≈ 0.80. Which statement best describes this response?

It is incorrect because logarithms cannot be used to solve exponential equations in Methods. It is incorrect because the correct exact answer is x = ln(5). It is fully correct because providing a decimal equivalent always satisfies an exact-value question. It is incomplete because the question asks for an exact value, so the decimal approximation should not replace the exact form — the answer should be x = ln(5)/2.

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Your result

0 / 10

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How to read a score out of 10

9 or 10 out of 10

The easy and at-level content is secure. The useful question now is how far above the year level the student can go, which a ten-item quiz cannot show. The free Skills Check adds stretch and challenge questions on every topic so you can see the ceiling as well as the floor.

7 or 8 out of 10

Solid, with one or two specific gaps. Look at which topic the incorrect answers came from (the results panel names the weakest topic) and spend a week on that topic before re-testing with a different seed.

5 or 6 out of 10

Some core ideas are shaky. The pattern matters more than the score: two misses in the same topic is a gap; misses scattered across topics usually means reading the question too fast. Either way, the Skills Check will tell you which.

4 or fewer out of 10

Foundations from an earlier year are probably missing, which is common and fixable. Try the quiz one year level down to confirm, then talk to a tutor about a short catch-up plan rather than more of the same practice.

What to do with the result

Questions? Call 03 9509 3293 or book a free consultation. RHZ Tutoring, 17/47 Apex Drive, Truganina VIC 3029.

Frequently asked questions

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