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Date November 2009 Marks available 4 Reference code 09N.1.sl.TZ0.8
Level SL only Paper 1 Time zone TZ0
Command term Calculate Question number 8 Adapted from N/A

Question

The exchange rates between the British pound (GBP) and the United States dollar (USD) and between the USD and the Euro (EUR) are given below.

Find the exchange rate between GBP and EUR in the form 1 GBP = k EUR, where k is a constant. Give your answer correct to two decimal places.

[2]
a.

Isabella changes 400 USD into Euros and is charged 2 % commission.

Calculate how many Euros she receives. Give your answer correct to two decimal places.

[4]
b.

Markscheme

k = 2.034 × 0.632     (M1)

= 1.29 (1 GBP = 1.29 EUR)     (A1)     (C2)


Note: Accept 1.29 only

 

[2 marks]

a.

Financial penalty (FP) applies in part (b).

 

400 × 0.632     (M1)

= 252.80 EUR     (A1)

2 % of 252.80 = 5.06 EUR     (A1)

(FP)     She receives 247.74 EUR     (A1)

OR

(FP)     0.98 × 252.80 = 247.74 EUR     (A1)(A1)     (C4)


Note: Accept (A1) for 0.98 seen.

 

[4 marks]

 

 

b.

Examiners report

Most students gained full marks on this question. However, some students found the required format of the answer in part (a) confusing.

a.

Most students gained full marks on this question. However, some students found the required format of the answer in part (a) confusing.

b.

Syllabus sections

Topic 1 - Number and algebra » 1.2 » Approximation: decimal places, significant figures.
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