Foundation June 2017 Paper 3 Q6
6 Twelve cards numbered 1 to 12 are put into six pairs.
Each pair has a total.
Complete the table to show the pairs and their totals. [4 marks]
| Cards | Total |
|---|---|
| 1 and 2 | 3 |
| \(\underline{\qquad\quad}\) and \(\underline{\qquad\quad}\) | 9 |
| \(\underline{\qquad\quad}\) and \(\underline{\qquad\quad}\) | 11 |
| \(\underline{\qquad\quad}\) and \(\underline{\qquad\quad}\) | 14 |
| \(\underline{\qquad\quad}\) and \(\underline{\qquad\quad}\) | 19 |
| \(\underline{\qquad\quad}\) and \(\underline{\qquad\quad}\) | 22 |
| Answer | Mark | Comments | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B4 | B3 for any three or four pairs giving the correct totals B2 for any two pairs giving the correct totals B1 for any one pair giving the correct total |
Additional guidance
| Mark pairs from top down and mark table only | |
| Numbers in pairs can be reversed eg 6 and 3 Total 9 | |
| Accept first use of a number, in a correct or incorrect pair, but discount further use of the same number in a subsequent pair | |
| Do not accept repeated numbers eg 7 and 7 or 11 and 11 as a correct pair (this is incorrect, not discounted) | |
| Do not accept use of other numbers eg 9 and 13 is not a correct pair | |
| 4 and 5 Total 9 correct 5 and 6 Total 11 discount (5 already used in a correct pair) 6 and 8 Total 14 correct (first use of 6 as 5 and 6 discounted) 8 and 11 Total 19 discount (8 already used in a correct pair) 10 and 12 Total 22 correct | 3 correct B3 |
| 3 and 6 Total 9 correct 7 and 4 Total 11 correct (order reversed) 7 and 7 Total 14 discount (7 already used in a correct pair) 7 and 12 Total 19 discount (7 already used in a correct pair) 10 and 12 Total 22 correct (first use of 12 as 7 and 12 discounted) | 3 correct B3 |
| 2 and 7 Total 9 discount (2 already used in correct pair) 5 and 6 Total 11 correct 4 and 10 Total 14 correct 9 and 10 Total 19 discount (10 already used in a correct pair) 11 and 11 Total 22 incorrect (11 is a repeated number in a pair) | 2 correct B2 |
| 3 and 3 Total 9 incorrect (3 is a repeated number in a pair) 3 and 8 Total 11 discount (3 already used in an incorrect pair) 6 and 8 Total 14 correct (first use of 8 as 3 and 8 discounted) 9 and 10 Total 19 correct 7 and 15 Total 22 incorrect (15 is not a card number) | 2 correct B2 |
| 3 and 5 Total 9 incorrect 3 and 8 Total 11 discount (3 already used in an incorrect pair) 7 and 7 Total 14 incorrect (7 is a repeated number in a pair) 7 and 12 Total 19 discount (7 already used in an incorrect pair) 10 and 12 Total 22 correct (first use of 12 as 7 and 12 discounted) | 1 correct B1 |