Higher November 2024 Paper 2 Q4
4 \(\mathscr{E} = \{\)odd numbers between 0 and 20\(\}\)
\(A = \{3, 9, 15, 17\}\)
\(B = \{5, 7, 11, 13, 17, 19\}\)
Tom was asked to draw a Venn diagram for this information.
Here is his answer.
Write down two things Tom should do to make his answer fully correct. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| statements | C1 | for identifying that the number 17 should only be in the intersection Acceptable examples 17 should only be in the middle Take 17 out of (set) \(A\) only appropriate 17 crossed out on the Venn diagram Not acceptable examples Tom should put 17 in \(B\) Should have two 17’s in the middle Take 17 out of (set) \(A\) Needs to remove a 17 17 is on twice |
| C1 | for identifying that the number 1 is missing from the diagram Acceptable examples 1 should be in the outside region He should put 1 outside the circles Tom needs to put the number 1 on the diagram include 1 (outside \(A \cup B\)) 1 added to the diagram in the correct region Not acceptable examples Add the remaining numbers There are missing odd numbers between 0 and 20 put all the odd numbers outside the circles add the odd numbers in the \(\mathscr{E}\) box include the even numbers 1 should be outside the Venn diagram |
Additional guidance
Accept correct descriptions using correct set notation for both marks
Diagram may be used to support statements