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Probability as a Fraction, Decimal and Percentage

Quiz · Maths · Stage 3 · Year 5
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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.

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Level 1 · Warm-up

1 A bag holds 2 green and 6 yellow counters. What is the chance of taking a green one?
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2 out of 8.
2 Write one half as a decimal and as a percentage.0impossible¼½even chance¾1certain½
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0.5 and 50%.
3 What is the chance, as a number, of an event that is certain to happen?
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1.

Level 2 · Core

4 The chance of rain tomorrow is 30%. What is the chance it does not rain?0impossible¼½even chance¾1certainrain
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100 − 30 = 70%.
5 A bag holds 3 red and 5 blue counters. Write the chance of red as a fraction out of 8, and the chance of blue out of 8.
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3 out of 8 and 5 out of 8 — and 3 + 5 = 8, so they add to 1.
6 Write 1/5 as a percentage. Give just the number.
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20%.

Level 3 · Challenge

7 A spinner has 4 equal sections and 1 of them is blue.1  The chance of blue is 1/4.
2  The chance of blue is 25%.
3  The chance of not blue is 25%.
Which statements are correct?
Show worked solution
1 of 4 is 1/4 (1 ✓) which is 25% (2 ✓). Not blue is 100 − 25 = 75%, not 25% (3 ✗). 1 and 2.
8 A bag holds 4 red, 3 blue and 3 green counters. Write the total number of counters and the chance of red as a percentage.
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10 counters, and 4 out of 10 is 40%.
9 The chance of an event is 35%. What is the chance, as a percentage, that it does not happen? Give just the number.
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65%.