Higher November 2023 Unit 2 Q3
3. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Vera has two fair spinners.
Each spinner is divided into quarters.
One spinner shows the values 1, 2, 3 and 4.
The other spinner shows the values 6, 7, 8 and 9.
Vera spins the two spinners. She then multiplies the two values together to form a product.
For example, the diagram above forms the product \(1 \times 7 = 7\).
Consider the ways in which all the possible products can be formed.
Calculate the probability that the spinners will form a product that is a factor of 36.
You must show all your working to justify your answer. [4 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| Identifying or implying that there are 16 possible correct combinations (e.g 2 × 6) or products (e.g.12) | B1 | Award B1 for
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| Identifies all possible combinations (e.g 2 × 6) or products (e.g 12) that are a factor of 36 1 × 6 = 6, 1 × 9 = 9, 2 × 6 = 12 2 × 9 = 18, 3 × 6 = 18, 4 × 9 = 36 | B2 | FT ‘their 16 possible correct products’. If products not used (e.g 2 + 6 = 8), do not award B2 or B1. Award B2 for clearly identifying one of the following:
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| (Probability factor of 36 =) \(\dfrac{6}{16}\) or equivalent. ISW | B1 | FT ‘their list’ only if at least 12 combinations or products given with at least two factors of 36 that can be achieved by the two spinners clearly identified. Penalise, −1, any incorrect notation e.g. ‘6 out of 16’. Unsupported \(\dfrac{6}{16}\) or \(\dfrac{3}{8}\) or equivalent gains B1 B2 B1. |
| Organisation and Communication | OC1 | For OC1, candidates will be expected to:
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| Accuracy of writing | W1 | For W1, candidates will be expected to:
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