4024/21

Mathematics (Syllabus D) 4024/21October/November 2019

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

10
questions
100
marks
150
minutes

Topics Geometry · Number · Mensuration · Algebra and Graphs · Statistics · Probability · +3 more

Q1NumberFree sample

Neema travels on a business trip.

(a)

The total cost of her flight is $406 including tax.
The cost of the flight excluding tax is $350.

Calculate the tax as a percentage of $350.

______ %

2M
(b)

Neema takes a suitcase with mass 15.5kg15.5\,\text{kg}, correct to the nearest 0.5kg0.5\,\text{kg}.
She also takes 6 packets each with mass 1.2kg1.2\,\text{kg}, correct to the nearest 0.1kg0.1\,\text{kg}.
She has a luggage limit of exactly 23kg23\,\text{kg} for the flight.

Can Neema be certain that the mass of her luggage is below the limit?
Show how you decide.

2M
(c)

Neema changes $245 to euros (€) for the trip.
The exchange rate is $1 = €0.73.

On the trip she spends €124.
When she returns, she changes the remaining euros back to dollars at a rate of $1 = €0.76.

Calculate the amount of money she receives.
Give your answer correct to the nearest dollar.

$ ______

3M
(d)

On her next trip, Neema hires a car.
She drives a total of 657km657\,\text{km} in the car.
The car uses fuel at a rate of 4.3litres4.3\,\text{litres} per 100km100\,\text{km} driven.
Neema pays $1.29 per litre of fuel.

Calculate the amount she spends on fuel during the trip.

$ ______

3M
(e)

Neema stays in a hotel for 7 nights.
This is her hotel bill.

ItemCost
7 nights at $ ______ per night$805
4 dinners at $ ______ each$ ______
Total before tax$ ______
Total including tax at 6.5%6.5\%$996.84

Complete the missing values in the hotel bill.

4M

The rest of this paper

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  • Q8Geometry · Mensuration · Algebra and Graphs · Number10M
  • Q9Trigonometry · Geometry12M
  • Q10Coordinate Geometry8M
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