Consider the numbers \( - 1,\,\,4,\,\,\frac{2}{3},\,\,\sqrt 2 ,\,\,0.35\) and \( - {2^2}\).

Complete the following table by placing a tick () to indicate if the number is an element of the number set. The first row has been completed as an example.

(A1)(A1)(A1)(A1)(A2)     (C6)

Note: Row 1 has been given in the question.
Row 2 to row 5: Award (A1) for each correct row.
Row 6: Award (A1) for both \(\mathbb{N}\) not selected and \(\mathbb{Z}\) selected; award (A1) for both \(\mathbb{Q}\) and \(\mathbb{R}\) selected. Do not penalize if crosses (or similar) appear in the empty cells.

Question 2: Classification of numbers.
Stronger candidates were able to correctly identify if a number was rational, real or natural with the weaker candidates not recognizing that all rational numbers are real or perhaps these candidates lacked familiarity with the mathematical notation. Only the best candidates knew that \(\frac{2}{3} \in \)¤, \(\sqrt 2  \notin \)¤ and that \( - {2^2} \in \)¥ but \( - {2^2} \in \)¢.