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 Two coins are tossed. Which list shows all the possible outcomes?
Show worked solution
HH, HT, TH, TT — four outcomes.
2 An ordinary die is rolled. Write how many faces there are altogether, and how many of them are even.
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6 faces, of which 3 are even.
3 How many outcomes are there when two coins are tossed?
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4.
Level 2 · Core
4 A spinner has 3 colours, but blue covers half of it and the other two colours a quarter each. What is the chance of blue?
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Blue covers half the spinner: 1 out of 2.
5 A coin is tossed and a die is rolled. Write how many outcomes there are altogether, and how many have a head and an even number.
Show worked solution
12 outcomes, and H2, H4, H6 give 3 with a head and an even number.
6 An ordinary die is rolled. How many of its faces show a number more than 4?
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2.
Level 3 · Challenge
7 Two coins are tossed.1 There are 4 equally likely outcomes.
2 The chance of two heads is 1 out of 4.
3 The chance of one head and one tail is 1 out of 4.
Which statements are correct?
2 The chance of two heads is 1 out of 4.
3 The chance of one head and one tail is 1 out of 4.
Which statements are correct?
Show worked solution
Four outcomes (1 ✓), and only HH gives two heads (2 ✓). Both HT and TH give one of each, so that is 2 out of 4, not 1 out of 4 (3 ✗). 1 and 2.
8 An ordinary die is rolled. Write how many faces are even or more than 4, and how many are even and more than 4.
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Even or more than 4: 2, 4, 5, 6 — 4 faces. Even and more than 4: just 6 — 1 face.
9 Three coins are tossed. How many different outcomes are there?
Show worked solution
2 × 2 × 2 = 8.