Numeracy Foundation June 2022 Unit 2 Q4
4. A business is having a large glass logo made.
The outline of the logo is drawn to scale on a grid.
Each square on the grid represents an area of 0·5 m2.
Scale: 1 cm2 represents 0·5 m2
The cost of the glass for the logo is £290 per m2.
Calculate an estimate of the total cost of the glass for the logo. [5]
Total cost of the glass for the logo = ……………
| Scheme | Marks | Comments |
|---|---|---|
| Evidence of counting squares Number of squares 11 – 16 (squares or cm2) | M1 A1 | Look at diagram If ‘their number of squares’ is within the range and no evidence of counting squares award M1 A1 If count squares of whole grid (70) then M0A0. FT with this |
| (Area = ‘Their number of squares’ × 0·5 m2 =) 5.5 – 8 (m2) | B1 | FT ‘Their number of squares’ × 0·5 (m2) or ‘Their number of squares’ ÷ 2 (m2) This B1 may be seen at the end eg 12 × 290 ÷ 2 Award M1A1B1 when no evidence of number of squares counted and a value between 5.5 and 8 is multiplied by 290. This would then get final M1 and a possible A1 |
| (Cost of glass=) ‘their area’ × (£)290 | M1 | FT ‘their area’ × (£)290 provided M1 or B1 previously awarded Allow rounded value of (£)300 used for (£)290 |
| Correct answer | A1 | Note: check if 290 has been ÷ 2 rather than number of squares ÷ 2 Check 145 × number of squares |