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Numeracy Higher November 2023 Unit 2 Q3

3. Jac is planning to visit the Empire State Building in New York.

(a)

Planners had an original budget of $60 million to construct the Empire State Building.
It actually cost $41 000 000 to construct.

Complete the following statement.
Give your answer correct to 2 decimal places. [3]

Constructing the Empire State Building cost …………… % less than the original budget.

(b)

More than 4 million people visit the Empire State Building each year.
What is 4 million written in standard form?
Circle your answer. [1]

\(4 \times 10^{-5}\)    \(0{\cdot}4 \times 10^{5}\)    \(4 \times 10^{5}\)    \(4 \times 10^{6}\)    \(4 \times 10^{7}\)

(c)

In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

The conversion rate at the exchange shop is £1 = $1.25.
The exchange shop only has $10 notes and $50 notes.

Jac has exactly £350.
He wants to exchange as close to £350 as possible for US dollars ($).
He asks for as few notes as possible.

Calculate:

  • how many $10 notes and how many $50 notes Jac gets
  • how much he pays for his currency.

You must show all your working. [6 + 2 OCW]