Foundation June 2025 Paper 2 Q12
12.
(a) Calculate 37% of 650. [2]
(b)
A piece of elastic is 477 mm long.
It can be stretched by \(\frac{2}{9}\) of its length before it snaps.
What is the length of the elastic when it snaps? [3]
(c) Write 54 as a percentage of 171.
Give your answer correct to 1 decimal place. [3]
Give your answer correct to 1 decimal place. [3]
| Scheme | Marks | Comments |
|---|---|---|
| 0.37 × 650 oe | M1 | |
| = 240.5 or \(240\frac{1}{2}\) or \(\frac{481}{2}\) | A1 | Mark final answer but allow the A1 for a final answer of 241 if 240.5 oe previously seen. Otherwise, an answer of 241(supported or unsupported) is awarded M1 A0 provided it is not from incorrect work. 240.5% is awarded M1 A0. If no marks, award SC1 for an answer of:
|
Corrected by Westie's Workshop
- The board's mark scheme printed “award SC1 for and answer of”. Changed to “award SC1 for an answer of” because “and” was printed where “an” was meant.
Original: see the board's mark scheme PDF (link above).
| Scheme | Marks | Comments |
|---|---|---|
| (\(\frac{2}{9}\) of 477 =) 477 ÷ 9 × 2 or \(\frac{2}{9}\) × 477 oe | M1 | Answer line takes precedence. |
| = 106 | A1 | |
| (477 + 477 ÷ 9 × 2 = 477 + 106 =) 583 (mm) | B1 | FT 477 + ‘their 106’ provided M1 awarded |
Alternative
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| 477 ÷ 9 × (9 + 2) or \(\frac{9+2}{9}\) × 477 oe | M2 | M1 for \(\frac{9+2}{9}\) or sight of \(\frac{11}{9}\) or equivalent fractions. |
| = 583 (mm) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\frac{54}{171}\) (× 100) or 54 ÷ 171 (× 100) | M1 | Note: Allow M1 for sight of 0.315(7…) |
| = 31.6(%) | A2 | A1 for 31.5(7…..) or 31.58 Allow A1 for an answer of 32(%) provided it is from correct working. If trials are used: Award SC2 for an answer of 31.6% (from 31.6% of 171 = 54.036) SC1 for an answer of 31.5% (from 31.5% of 171 = 53.865) |
| (8) |