Foundation June 2018 Paper 3 Q23
23 In a group of 20 people
7 own a dog
3 own a cat
12 do not own a dog or a cat.
Aidan shows this information on a Venn diagram.
Make two criticisms of his Venn diagram. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Any two of Indication that there should be a number in the overlapping part Indication that the 12 should be inside the rectangle The numbers add up to 22 The universal set has not been defined | B2 | B1 for any one correct criticism eg the numbers should be 5, 2, 1, 12 there should be 2 in the overlap eg 12 should be inside 12 shouldn’t be outside |
Additional guidance
| Criticisms must be written on answer line | |
| If a number in the overlapping part is specified in a criticism, it must be 2 | |
| 12 written inside the rectangle with no or irrelevant comment | B0 |
| Accept a correct first criticism with an incorrect linked second criticism eg Criticism 1 – Should be 2 in the centre section Criticism 2 – Should be 7, 2, 3, 10 | B1 B0 |
| Do not accept a correct and incorrect statement for the same criticism eg There should be 2 in the middle, so the numbers should be 7, 2, 3, 12 | B0 |
| Examples of correct criticisms | |
| Does not add up to 20 | B1 |
| There’s no number in the centre | B1 |
| 12 is on the outside | B1 |
| He must have asked 22 people | B1 |
| Should be 7 – 2, 2, 3 – 2 (or 5, 2, 1) | B1 |
| 7 (or 3) is wrong | B1 |
| Some people have a dog and a cat | B1 |
| Examples of incorrect criticisms | |
| Some pet owners might have a dog and a cat | B0 |
| 12 should be inside the circle | B0 |
| 7 means the whole circle not just the outside bit | B0 |
| 12 should be 10 | B0 |
| He hasn’t written how many have neither | B0 |
| There is no title for both | B0 |
| You have to work out the middle for yourself | B0 |