Higher November 2018 Paper 6 Q16
16 A £1 coin weighs 8.75 g, correct to the nearest 0.01 g.
Mitul weighs the contents of a large bag of £1 coins.
The coins weigh 2.63 kg, correct to the nearest 10 g.
Mitul says
I am sure that the bag contains exactly £300 because, using bounds,
2625 ÷ 8.755 = 299.8 to 1 decimal place.
Show that Mitul may not be correct. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| There could be £301 e.g. because 2635 ÷ 8.745 = 301[.3…] | 3 | M2 for a calculation of (2625 to 2635) ÷ (8.745 to 8.755) oe correctly evaluated to an answer of 301(….) or for a calculation of (2632.245 to 2635) ÷ 301 oe correctly evaluated to an answer of 8.745 to 8.755 or for a calculation of 301 × (8.745 to 8.7541528…) oe correctly evaluated to an answer of 2625 to 2635 or M1 for any further calculation of (2625 to 2635) ÷ (8.745 to 8.755) or (2625 to 2635) ÷ 301 or 301 × (8.745 to 8.755) but not 2625 ÷ 8.755 or 2630 ÷ 8.75 or B1 for 2635, 2.635, 8.745 or 8745 seen | For full marks, their conclusion must follow from a relevant calculation which shows that 301 is a possible answer (either use of 301 and two weights in range, or an answer of more than 301 rounded down, and not an answer of less than 301 rounded up) Calculations may be done in grams as shown, or converted to kg. Common calculations for at least M2 include: 2635 ÷ 8.75 = 301.1(…) 2635 ÷ 8.745 = 301.3(…) Common calculations scoring only M1 include: 2625 ÷ 8.75 (= 300) 2630 ÷ 8.745 = 300.7(…) |