Intermediate June 2019 Unit 2 Q4
4. Catrin makes the following statement.
If you double the length of each side of a rectangle, you will double its perimeter and also double its area.
Is Catrin correct?
Show clearly, using an example, how you came to your decision. [5]
| Scheme | Marks | Comments |
|---|---|---|
| Two relevant (sides of one double the other) rectangles or squares considered. | M1 | Sketch shown or lengths stated. If M0, only the B marks are available. |
| Perimeter AND area of 1st rectangle correctly calculated. | B1 | Ignore missing units BUT penalise −1, once only, for incorrect units. (Applies to these B1 marks.) |
| Perimeter AND area of 2nd rectangle correctly calculated. | B1 | |
| Clear statement that the perimeter has been doubled but the area has not been doubled (and that Catrin is incorrect.) | A2 | FT ‘their stated values’ for both perimeter and area. If not A2, then A1 for correct perimeter statement for ‘their values’. OR A1 for correct area statement for ‘their values’. Accept statement that area is 4 times as big. Allow for A2 ‘only the perimeter has been doubled’. (implies that the area has not been doubled.) Also for A2. ‘The area is not doubled so Catrin is incorrect’ answers the question. In this case Award SC1 and SC1 (instead of B1 and B1) if areas correctly calculated. Correct statements, for BOTH perimeter and area, with no supporting work gains SC1. |