Mathematics 4024 · O Level · Limits of accuracy

Limits of accuracy — practice question

Neema is going on a business trip.
(a)[2]

Her flight costs $406 including tax. The price of the flight before tax is $350. Calculate the tax as a percentage of $350$.

(b)[2]

Neema brings a suitcase with mass $15.5\,\text{kg}$, correct to the nearest $0.5\,\text{kg}$. She also takes 6 packets, each with mass $1.2\,\text{kg}$, correct to the nearest $0.1\,\text{kg}$. Her flight has a luggage allowance of exactly $23\,\text{kg}$. Can Neema be sure that the mass of her luggage is below the limit? Show your working.

(c)[3]

Neema exchanges $245$ dollars into euros (€) for the trip. The exchange rate is $1 = €0.73$. During the trip she spends €124. When she comes back, she converts the euros left into dollars at a rate of $1 = €0.76$. Calculate how much money she gets back. Give your answer correct to the nearest dollar.

(d)[3]

On her next trip, Neema hires a car. She drives a total of $657\,\text{km}$ in the car. The car burns fuel at a rate of $4.3$ litres per $100\,\text{km}$ driven. Neema pays $1.29$ for each litre of fuel. Calculate how much she spends on fuel during the trip.

(e)[4]

Neema spends 7 nights in a hotel. This is her hotel bill. Fill in the missing values on the hotel bill.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the percentage increase formula

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