Printable · GCSE Foundation · ages 14-16

Relative frequency and the probability scale worksheet — GCSE Foundation

Fifteen questions on "relative frequency and the probability scale" — DfE statement P3. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Relative frequency and the probability scale worksheet — GCSE Foundation

Maths · GCSE Foundation · P3 · Relative frequency and the probability scale · 15 questions

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1.On the probability scale from 0 (impossible) to 1 (certain), evens is exactly halfway. An event is 3/10 more likely than evens. Work out the probability of that event, giving your answer as a decimal.
(a)0.53
(b)1.30
(c)0.30
(d)0.80
2.An ordinary pack of 52 playing cards contains 13 hearts. One card is taken at random from the pack. Work out the probability that the card is not a heart. Give your answer as a percentage.
(a)39%
(b)50%
(c)25%
(d)75%
3.Four bags each contain counters, some of which are winning counters. The probability of taking a winning counter is 5/12 from the red bag, 3/8 from the blue bag, 7/24 from the green bag and 1/3 from the yellow bag. Work out which bag has the smallest probability of giving a winning counter.
(a)The blue bag (3/8)
(b)The red bag (5/12)
(c)The green bag (7/24)
(d)The yellow bag (1/3)
4.A spinner is divided into 8 equal sections. 3 of the sections are red and the rest are not red. The spinner is spun once. Work out the probability that it does not land on red.
(a)3/8
(b)5/11
(c)5/8
(d)1/2
5.Two goalkeepers face penalty kicks. Elin saves 34% of the penalties she faces. Noah saves 11/32 of the penalties he faces. Which statement correctly compares them?
(a)Elin — 34 is bigger than 11.
(b)Noah — 32 is a bigger denominator.
(c)Noah — 11/32 = 0.34375, above 34%.
(d)Equal — both round to 34% to the nearest percent.
6.A machine produces bolts. In a sample of 250 bolts, 15 are faulty. Work out the relative frequency of a bolt being faulty, giving your answer as a fraction in its simplest form.
(a)50/3
(b)3/47
(c)1/10
(d)3/50
7.Two games at a school fete are played independently. The probability of winning game X is 3/8. The probability of winning game Y is 0.4. Which statement correctly compares the two games?
(a)Game X — 3/8 has the larger denominator.
(b)Equal — 3/8 rounds to 0.4 to one decimal place.
(c)Game Y — 0.4 is greater than 3/8.
(d)Game X — 3 is greater than 0, the units digit of 0.4.
8.A bag contains 3 red counters, 2 blue counters and 2 green counters. One counter is taken at random from the bag. Work out the probability that the counter is red.
(a)2/7
(b)3/4
(c)3/7
(d)4/7
9.On a probability scale from 0 to 1, the points impossible (0), unlikely (0.25), evens (0.5) and certain (1) are marked. An event has a probability of 0.3. Between which two neighbouring marked points does 0.3 lie?
(a)evens and certain
(b)impossible and evens
(c)impossible and unlikely
(d)unlikely and evens
10.The probability that a spinner lands on blue is 2/5. Write this probability as a percentage.
(a)20%
(b)40%
(c)2%
(d)4%
11.A fair six-sided dice is rolled once. Work out the probability that the score is greater than 4.
(a)1/6
(b)2/3
(c)1/3
(d)1/2
12.A spinner is spun 50 times. It lands on green 18 times. Work out the relative frequency of landing on green.
(a)0.36
(b)0.18
(c)0.64
(d)0.036
13.One card is taken at random from an ordinary pack of 52 playing cards. 26 of the cards are red. Work out the probability that the card is red. Give your answer as a percentage.
(a)2%
(b)26%
(c)25%
(d)50%
14.A quality inspector tests 145 light bulbs and finds that 33 are faulty. Work out the relative frequency of a bulb being faulty, as a percentage correct to 1 decimal place.
(a)77.2%
(b)22.8%
(c)33.0%
(d)22.7%
15.On the probability scale from 0 to 1, which word best describes an event with probability 0.9?
(a)unlikely
(b)likely
(c)certain
(d)evens

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