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 A die has just shown a 6. What is the chance the next roll is a 6?
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Still 1 out of 6.
2 A bag holds 3 red and 5 blue counters. Write the chance of red before any counter is taken, as a number out of 8, and the total number of counters after one is taken and kept.
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3 out of 8, and 7 counters remain.
3 A bag holds 3 red of 8 counters. One red is taken and kept. How many red counters are left?
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2.
Level 2 · Core
4 A spinner has 4 equal sections and has landed on red four times in a row. Which statement is correct?
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A spinner has no memory: Red is still 1 out of 4.
5 A bag holds 4 red, 3 blue and 3 green counters. Write the total, and the chance of red as a number out of that total.
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10 counters, and red is 4 out of 10.
6 A bag holds 3 red and 5 blue. One red is taken and kept. How many counters are in the bag now?
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7.
Level 3 · Challenge
7 On this spinner blue covers half and red and green cover a quarter each.1 Blue is the most likely colour.
2 Blue is likely.
3 Red and green are equally likely.
Which statements are correct?
2 Blue is likely.
3 Red and green are equally likely.
Which statements are correct?
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Blue beats the other two (1 ✓) but is exactly a half, so it is an even chance rather than likely (2 ✗). Red and green are both a quarter (3 ✓). 1 and 3.
8 A bag holds 3 red and 5 blue counters. A red one is taken and kept, then a blue one is taken and kept. Write how many counters are left and how many of them are red.
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6 counters left, of which 2 are red.
9 A bag holds 4 red, 3 blue and 3 green counters. What is the chance of red, written as a percentage? Give just the number.
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40%.