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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.

[2]
a.

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.

[2]
b.

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.

[2]
c.

Markscheme

0.88×16000     OR     160000.12×16000     (M1)

14080     (A1)     (C2)

[2 marks]

a.

1.6407×5.25×14080     (M1)

121280.54 USD     (A1)(ft)     (C2)

Note: Follow through from their answer to part (a).

[2 marks]

b.

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]

c.

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.

a.

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.

b.

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.

c.

Syllabus sections

Topic 1 - Number and algebra » 1.5 » Currency conversions.
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