Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 How many questions are on the Mathematical Reasoning paper?
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35.
2 The paper is 40 minutes long with 35 questions. Write the total number of seconds, and roughly how many seconds each question gets.
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2 400 seconds, which is about 69 seconds each.
3 A guess between 5 options is right about 1 time in how many?
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5.
Level 2 · Core
4 You cross out two options and guess between the rest. What is the chance of being right?
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1 in 3.
5 A question asks for the shorter side of a rectangle whose other side is 12 cm and whose perimeter is 34 cm. Write how many of the options 5, 10, 11, 17, 22 can be crossed out on sight, and the correct answer.
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2 can go (17 and 22), and the answer is 5 cm.
6 With no penalty for a wrong answer, how many questions should you leave blank?
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0.
Level 3 · Challenge
7 Think about guessing on this paper.1 A pure guess is worth 1 in 5.
2 Crossing out two options makes a guess worth 1 in 3.
3 A blank is safer than a guess.
Which statements are correct?
2 Crossing out two options makes a guess worth 1 in 3.
3 A blank is safer than a guess.
Which statements are correct?
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A guess among five is 1 in 5 (1 ✓); with two crossed out, three remain, so 1 in 3 (2 ✓). With no penalty, a blank is never safer — it scores nothing for certain (3 ✗). 1 and 2.
8 You have 40 minutes and 35 questions, and you want to keep 3 minutes at the end to fill in blanks. Write the number of minutes left for working, and roughly how many seconds per question that allows.
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37 minutes, which is about 63 seconds a question.
9 On 5 questions you cross out two options each and then guess. About how many of those 5 would you expect to get right? Give a whole number.
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5 × 1/3 ≈ 1.7, so about 2.