Numeracy Intermediate November 2023 Unit 2 Q7

(a) According to the internet, the Empire State Building has a total of 1172 miles of elevator cable.

Complete the following statement. [2]

There is a total of …………… km of elevator cable in the Empire State Building.

(b) The elevators in the Empire State Building were designed to move at a rate of 0·366 kilometres per minute.

Complete the following statement. [2]

The elevators in the Empire State Building were designed to move at …………… metres per second.

(c) 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.

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

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

(e)

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]