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Multiple-Choice Under Time Pressure

Maths · HAST Middle Secondary
Years 8–9
Lesson Guide
Explanation
Forty minutes and about thirty-two questions gives you roughly seventy-five seconds each. That is enough time to read carefully and do two or three steps of work, and it is not enough time to flounder. Every question is worth the same, so four minutes spent on a hard one costs you three easy ones further down the paper. The fix is a hard rule rather than a judgement call: if you have no route into a question after about twenty seconds, mark an answer, note the number, and move on. And ACER says outright that the tests are difficult, so not finishing everything is normal, not a disaster.
Your Turn
45 minutes for 35 questions — roughly how long each? Check: 2700 ÷ 35 is about 77, so call it 75.
Watch Out
ACER's bulletin says 40 minutes and its sample booklet says 45. Train at 70 seconds and you are safe either way.
Explanation
Nothing is deducted for a wrong answer, so a blank is strictly worse than a guess. A blank scores zero every time; a guess scores zero or one and never less. With four options a blind guess comes in about one time in four, which over several questions is real marks. So leave yourself about two minutes at the end and fill every empty oval, whatever you know about them. One genuine danger comes with skipping: if you leave a question out, the next answer can land in the wrong oval and shift everything after it. Check the question number against the oval number every few questions.
Your Turn
You leave 6 questions blank. What do they score? Check: zero. Guessing all six would average about 1.5 marks.
Watch Out
Skipping a question is where answer sheets go wrong. Match the number, not just the next empty row.
Explanation
Eliminating is usually faster than solving. Rule out the options that cannot possibly be right, and a blind guess at one in four becomes a coin flip at one in two. In this example you need five gigabytes of room, so two and four gigabytes fail immediately — they are simply too small. Six and eight both pass, and six is the smaller, so six is the answer. Even if you had run out of time after ruling out the first two, you would be guessing between two rather than four. Crossing out is not a last resort; it is often the quickest route to the answer.
Your Turn
You rule out two of four options. What is the chance a guess is right? Check: 1 in 2.
Watch Out
Cross options out on the question paper, not the answer sheet. Stray marks there can be misread.
Explanation
In a four-option paper the answer is already printed on the page, so testing the options is often easier than solving for the unknown. A number is doubled and then five is added, giving twenty-nine. Rather than undoing the steps, try the options: twelve doubled is twenty-four, add five and you get twenty-nine, so twelve is the answer. There is a shortcut within the shortcut too — start with one of the middle values, because if it overshoots you know the answer is one of the smaller ones and you have eliminated several at once.
Your Turn
Triple a number, subtract 4, get 20. Test 8: 24 − 4 = 20. Check: 8.
Watch Out
Only work backwards when the options are values. It does not help when they are statements.
Explanation
You get no calculator, no ruler and no paper beyond the booklet, and that is a promise as much as a restriction: the arithmetic is meant to be manageable. Three habits do most of the work. Round first and decide second — nineteen times twenty-one is about four hundred, so an option of twelve hundred goes without any calculation. Check the size of your answer, because if a share of something comes out bigger than the whole you have divided the wrong way round. And use the last digit: twenty-three times seventeen must end in one, since three sevens are twenty-one, and that alone can kill three options. If a question seems to demand heavy computation, you have misread it or missed a shortcut. Quiz and exercises now.
Your Turn
What must 23 × 17 end in? Check: 1, because 3 × 7 = 21.
Watch Out
Estimating tells you which options are impossible. It does not always pick between two close ones.
📌 Key Points — this lesson in a nutshell
  • 35 questions in 45 minutes — about 75 seconds each. No question is worth five minutes.
  • Nothing is deducted for a wrong answer, so never leave a blank. A blank scores zero; a guess does not.
  • Every question is worth the same, so a hard one and an easy one pay identically.
  • No calculator, no ruler, no paper. The numbers stay small on purpose — the difficulty is the reasoning.
Step 1: Introduction
Step 1 of 5
35 questions, 45 minutes 45 minutes, 35 questions 45 × 60 = 2700 seconds, shared between 35 questions ≈ 75 seconds each That is enough to read carefully and do two or three steps. It is not enough to flounder. ACER's own instruction: if a question is too difficult, do not spend a long time on it. Every question is worth the same, so four minutes on a hard one costs you three easy ones. The fix is a hard rule: if you have no route after about 20 seconds, guess and move on. Mark it so you can come back. Do not sit there. ACER also says: "Remember that the tests are difficult." Not finishing is normal.
Nothing is deducted for a wrong answer ABCD blank — scores zero, guaranteed ABCD a guess — scores zero or one, and never less than the blank "No marks will be deducted for incorrect answers." — so a blank is strictly worse. With four options, a blind guess is right about one time in four. Leave two minutes at the end to fill every empty oval, whatever you know about them. Careful, though: if you skip a question, your next answer can land in the wrong oval. Check the question number against the oval number every few questions.
From one in four to one in two ABCD two ruled out, two left A 2 GB too small — fails the requirement B 4 GB too small — fails the requirement C 6 GB big enough, and the smaller of the two that are D 8 GB big enough, but not the smallest A guess between two is right half the time. That is double a blind guess.
The answer is already on the page A number is doubled, then 5 is added, giving 29. A 12 double 12 is 24, add 5 → 29 ✓ B 15 double 15 is 30, add 5 → 35 ✗ C 17 double 17 is 34, add 5 → 39 ✗ D 24 double 24 is 48, add 5 → 53 ✗ Testing an option is often easier than solving for the unknown. Start with the middle value: if it overshoots, the answer is one of the smaller ones.
The numbers are small on purpose Round first, decide second. 19 × 21 is about 20 × 20 = 400, so an option of 1200 is out without any work. Check the size of the answer. If a share of something comes out bigger than the whole, you have divided the wrong way. Use the last digit. 23 × 17 must end in 1, because 3 × 7 = 21. That alone can kill three options. You are allowed no calculator, no ruler and no paper beyond the booklet. That is a promise as much as a restriction: the arithmetic is meant to be manageable. If a question seems to need heavy computation, you have misread it or missed a shortcut. Budget · never blank · eliminate · work backwards · estimate. Quiz and exercises now.
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