Foundation June 2022 Paper 3 Q7
7 The bar chart shows the number of medals won by a country at events in 2008 and 2012
(a) Complete this statement about the medals won by the country in 2008 [1 mark]
number of Silver medals \(=\) __________ \(\times\) number of Gold medals
(b) Show that the country won more medals in 2008 than in 2012 [2 marks]
(c) At the 2016 event the country won an equal number of each type of medal.
Here is a statement about the medals won by the country in 2016
| The total number of medals cannot be 25 |
Give a reason why the statement is correct. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| 3 | B1 | allow answer in words |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| 2 + 6 + 9 or 17 (2008) or 5 + 8 + 3 or 16 (2012) | M1 | oe |
| 17 and 16 | A1 | |
| Alternative method 2 | ||
| \(2 - 5 + 6 - 8 + 9 - 3\) or \(-3 - 2 + 6\) or \(5 - 2 + 8 - 6 + 3 - 9\) or \(3 + 2 - 6\) | M1 | oe eg 3 more gold, 2 more silver, 6 fewer bronze |
| Indication that there was 1 more medal in 2008 | A1 | oe indication there was 1 less in 2012 |
Additional guidance
17 must not be linked with 2012, 16 must not be linked with 2008
Ignore further work after correct answer seen
| Answer | Mark | Comments |
|---|---|---|
| Valid reason | B1 | eg 25 is not a multiple of 3 or \(25 \div 3\) is not a whole number or \(8 + 8 + 8 = 24\) or \(9 + 9 + 9 = 27\) |
Additional guidance
| Ignore incorrect or irrelevant statements alongside correct statements, unless contradictory | |
| 3 is not a factor of 25 | B1 |
| \((25 \div 3 =)\ 8.3(\ldots)\) | B1 |
| \((25 \div 3 =)\ 8\dfrac{1}{3}\) | B1 |
| \(3 \times 8 = 24\) or \(3 \times 9 = 27\) | B1 |
| It would have to be 8, 8 and 9 | B1 |
| 25 divided by 3 is a decimal | B1 |
| 25 can’t be (fully) divided by 3 (condone) | B1 |
| 3 doesn’t go into 25 (condone) | B1 |
| 25 doesn’t fit evenly into 3 (condone) | B1 |
| The three equal totals would not add up to 25 | B1 |
| None of the equal totals would add up to 25 | B0 |
| There are not 3 whole numbers that add to make 25 | B0 |
| 25 is not a factor of 3 | B0 |
| The difference between the possible answers is 3 | B0 |