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 There are 4 answers and one is right. If you guess, how often would you be right?
Show worked solution
1 time in 4.
2 Write how many answers are left after you cross out 1, and after you cross out 2, from a question with 4 answers.
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3 left, then 2 left.
3 How many questions should you leave blank on this test?
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0.
Level 2 · Core
4 A picture shows 8 shells. Which of these answers could you cross out straight away?
Show worked solution
There are only 8 shells, so 14 is impossible.
5 A 10 litre bucket is a bit more than half full. Write half of 10, and whether the answer should be more or less than that. Use 1 for more and 0 for less.
Show worked solution
Half of 10 is 5 litres, and the water is above that, so 1 — more.
6 There are 12 counters. What is the largest answer that could possibly be right for "how many are not red"?
Show worked solution
12 — and that would mean none are red.
Level 3 · Challenge
7 Think about the four steps for answering a question.1 Crossing out 2 answers leaves 2 to choose from.
2 A guess between 2 answers is right about half the time.
3 You should spend as long as it takes on a hard question.
Which statements are correct?
2 A guess between 2 answers is right about half the time.
3 You should spend as long as it takes on a hard question.
Which statements are correct?
Show worked solution
4 − 2 = 2 left (1 ✓), and a guess between 2 is right about half the time (2 ✓). Sitting on one question costs you the easy ones further along (3 ✗). 1 and 2.
8 A question about 10 counters has the answers 4, 6, 10 and 16. Write how many of those can be crossed out because they are impossible, and how many are left.
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Only 16 is impossible, so 1 is crossed out and 3 are left.
9 You have 4 answers, you cross out 2, and then you guess. Out of 10 questions like that, about how many would you expect to get right?
Show worked solution
A guess between 2 is right about half the time, so about 5.