Foundation June 2018 Paper 2 Q3
3. A rectangle has a perimeter of 18 cm.
The length and the width are both whole numbers.
The length is always greater than the width.
(a)
Complete the table to show all the possible lengths and widths of the rectangle. [2]
| Rectangle | Length (cm) | Width (cm) |
|---|---|---|
| A | 8 | 1 |
| B | ||
| C | ||
| D |
(b)
Which rectangle from your table has the greatest area?
Show how you decide. [2]
| Scheme | Marks | Comments |
|---|---|---|
| Completes the table e.g. A (8 1) B 7 2 C 6 3 D 5 4 | B2 | Entries may be in a different order but the pairs must be correct (add up to 9). Award B1 for 2 correct pairs. Allow B1 for length and width in wrong order. |
| Scheme | Marks | Comments |
|---|---|---|
| identifies the 5 x 4 rectangle AND area is 20 (cm\(^2\)) with at least one other area correct. | B2 | FT ‘their greatest area’ or associated letter, provided at least B1 awarded in (a). e.g. Area A = 8 (cm\(^2\)) Area B = 14 (cm\(^2\)) Area C = 18 (cm\(^2\)) Award B1 for identifying the correct rectangle or for sight of two correct areas |
| (4) |