Foundation June 2017 Paper 3 Q20
20
(a) This is a fair 5-sided spinner.
Ciara spins the spinner twice and records the product of the two scores.
(i) Complete the table.
| First spin | ||||||
|---|---|---|---|---|---|---|
| \(\times\) | 1 | 2 | 2 | 3 | 4 | |
| Second spin | 1 | 1 | ||||
| 2 | 4 | |||||
| 2 | ||||||
| 3 | ||||||
| 4 | 12 | |||||
[2]
(ii) Find the probability that the product is a multiple of 3. [2]
(b) Ciara makes a different fair 5-sided spinner.
She spins the spinner twice and records the product of the two scores.
She spins the spinner twice and records the product of the two scores.
Ciara says
The probability that the product is negative is 0.48.
Write numbers on the spinner below so that Ciara’s statement is correct.
[3]
| Answer | Marks | Part marks and guidance | |||||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
(i)
| 2 | B1 for table completed with no more than 5 errors or omissions | Ignore negative signs | ||||||||||||||||||||||||||||||||||||
| (ii) \(\dfrac{9}{25}\) oe | 2 | B1FT for their correct numerator B1 for fraction with denominator 25 | Ignore attempts to convert form or simplify Accept [0].36 or 36% but not ratio or in words | ||||||||||||||||||||||||||||||||||||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Spinner completed with 3 negative numbers and 2 positives or 2 negatives and 3 positives | 3 | M1 for \(\dfrac{12}{25}\) soi eg by 12 [out of 25] B1 for spinner with 5 numbers inserted, at least one negative | Do not accept 0 for 3 marks Not just 12 as a number on the spinner Condone 0 (as positive) for B1 |