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Chance and the Probability Scale

Quiz · Maths · Y7 Probability · Year 7
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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 Which chance word describes rolling a 9 on an ordinary six-sided die?
Show worked solution
Impossible — an ordinary die only has 1, 2, 3, 4, 5 and 6.
2 What number on the probability scale means "certain"? (like 0 or 1)
Show worked solution
1.
3 A fair coin is tossed. Which chance word describes landing on heads?
Show worked solution
An even chance — heads and tails are equally likely.

Level 2 · Core

4 Write the probability 1/2 as a percentage. (like 25%)
Show worked solution
1/2 = 0.5 = 50%.
5 Write the probability 0.25 as a fraction in simplest form.
Show worked solution
0.25 = 25/100 = 1/4.
6 A spinner has 4 equal sections: 2 red, 1 blue, 1 green. Written as a fraction, what is P(blue)? (as a fraction)
Show worked solution
1 blue section out of 4 equal sections, so P(blue) = 1/4.

Level 3 · Challenge

7 Which is more likely: a probability of 0.3, or a probability of 3/4?
Show worked solution
3/4 = 0.75, and 0.75 is bigger than 0.3, so 3/4 is more likely.
8 A weather report gives an 80% chance of rain. Where does that sit on the 0-to-1 scale? (as a decimal)
Show worked solution
80 ÷ 100 = 0.8, which is close to the "likely" end of the scale.
9 Put these three chances in order from LEAST to MOST likely: 0.9, 1/4, 0.5
Show worked solution
1/4 = 0.25, so the order is 1/4, 0.5, 0.9.