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O-LevelMathematicsProbability4024/22 · May/June 2022 · Q37 Marks

A 5-sided spinner is numbered 1, 2, 3, 4 and 5. The table shows the results from spinning the spinner 200 times. Number | Frequency ---|--- 1 | 51 2 | 19 3 | 28 4 | 35 5 | 67

  1. (a)A pie chart is drawn to show this information. Calculate the angle of the sector representing the number 4.[2]
  2. (b)Use the results to estimate the probability that the spinner lands on 3.[1]
  3. (c)Use the results to estimate the probability that the spinner lands on a number that is a factor of 30.[2]
  4. (d)The spinner is spun 3000 times. Estimate the number of times it lands on an even number.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

  1. [2] M1 for 35/200 [x360] oe or 360/200 [x35] oe or B1 for answer 17.5[%]
  2. [1] 28/200 oe
  3. [2] M1 for 1, 2, 3, 5 soi After 0 scored, SC1 for 114/200 oe
  4. [2] M1 for (19+35)/200 [x3000] oe or B1 for 810 seen

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About this question

Topic
Probability, O-Level Mathematics (syllabus 4024). Structured question, 7 marks.
Source
O-Level Mathematics, May/June 2022 Paper 2 Variant 2, question 3.

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