Date | May 2011 | Marks available | 2 | Reference code | 11M.1.sl.TZ2.12 |
Level | SL only | Paper | 1 | Time zone | TZ2 |
Command term | Calculate | Question number | 12 | Adapted from | N/A |
Question
A manufacturer in England makes 16000 garden statues. 12% are defective and cannot be sold.
Find the number of statues that are non-defective.
The manufacturer sells each non-defective statue for 5.25 British pounds (GBP) to an American company. The exchange rate from GBP to US dollars (USD) is 1 GBP=1.6407 USD.
Calculate the amount in USD paid by the American company for all the non-defective statues. Give your answer correct to two decimal places.
The American company sells one of the statues to an Australian customer for 12 USD. The exchange rate from Australian dollars (AUD) to USD is 1 AUD=0.8739 USD .
Calculate the amount that the Australian customer pays, in AUD, for this statue. Give your answer correct to two decimal places.
Markscheme
0.88×16000 OR 16000−0.12×16000 (M1)
14080 (A1) (C2)
[2 marks]
1.6407×5.25×14080 (M1)
121280.54 USD (A1)(ft) (C2)
Note: Follow through from their answer to part (a).
[2 marks]
12×10.8739 (M1)
13.73 AUD (A1) (C2)
Note: If division used in part (b) and multiplication used in part (c), award (M0)(A0) for part (b) and (M1)(A1)(ft) for part (c).
[2 marks]
Examiners report
This question was generally well answered with much correct working seen in parts (a) and (b). The most popular incorrect answer in part (a) was 1920 – candidates simply stating the number of defective items rather than the number of non-defective items. Unfortunately in part (c) many candidates multiplied by 0.8739 rather than divided and 10.49 proved a popular, but erroneous, answer.
This question was generally well answered with much correct working seen in parts (a) and (b). The most popular incorrect answer in part (a) was 1920 – candidates simply stating the number of defective items rather than the number of non-defective items. Unfortunately in part (c) many candidates multiplied by 0.8739 rather than divided and 10.49 proved a popular, but erroneous, answer.
This question was generally well answered with much correct working seen in parts (a) and (b). The most popular incorrect answer in part (a) was 1920 – candidates simply stating the number of defective items rather than the number of non-defective items. Unfortunately in part (c) many candidates multiplied by 0.8739 rather than divided and 10.49 proved a popular, but erroneous, answer.