Foundation June 2023 Paper 3 Q12
12
(a) \(c \gt 4 \qquad d \lt 4 \qquad c - d = 6\)
Work out a possible pair of values for \(c\) and \(d\). [2 marks]
(b) \(w\) is greater than 1 and less than 2
\(x\) is greater than 0 and less than 1
| \(w + x = 2.6\) |
Work out a possible pair of values for \(w\) and \(x\). [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Pair of numbers satisfying all criteria | B2 | B1 pair of numbers satisfying two criteria eg \(c = 20\quad d = 14\) or \(c = 7\quad d = 0\) |
Additional guidance
| \(c\) and \(d\) can be decimals eg \(c = 8.6\quad d = 2.6\) | B2 |
| Correct integer values for B2 \(c = 9\quad d = 3\) \(c = 8\quad d = 2\) \(c = 7\quad d = 1\) \(c = 6\quad d = 0\) \(c = 5\quad d = -1\) | |
| Examples of correct integer values for B1 \(c = 10\quad d = 4\) \(c = 4\quad d = -2\) |
| Answer | Mark | Comments |
|---|---|---|
| Pair of numbers satisfying all criteria | B2 | eg \(w = 1.9\quad x = 0.7\) B1 pair of numbers satisfying two criteria eg \(w = 1.6\quad x = 1\) or \(w = 2.4\quad x = 0.2\) or \(w = 1.4\quad x = 0.9\) SC1 pair of numbers with a sum of 2.6 satisfying neither inequality |
Additional guidance
| \(w = 0.7\quad x = 1.9\) | SC1 |