Mathematics (Syllabus D) 4024/21 — October/November 2021

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

questions

100

marks

150

minutes

Topics Number · Mensuration · Trigonometry · Algebra and Graphs · Geometry · Statistics · +2 more

Q1NumberFree sample

(a)

In October, Sara is charged $84.25 for water.
A tax of 8% is added to this amount.

Calculate the total amount Sara is charged for water in October including tax.

$ ______

(b)

The table shows the rates that Sara is charged for her gas and electricity supply.
She is charged a fixed amount each day plus an amount for each unit used.

	Cost for one day	Cost for one unit
Gas	23 cents	4.3 cents
Electricity	28 cents	16 cents

(i)

Sara uses a total of 960 units of gas in the 30 days of November.

Calculate the total amount, in dollars, Sara is charged for gas in November.

$ ______

(ii)

Sara is charged a total of $30.80 for electricity in the 30 days of November.

Calculate the number of units of electricity she used.

______ $\text{units}$

(c)

The amount of electricity generated is measured in Gigawatt hours (GWh).
The table shows information about the amount of electricity generated in different countries.

Country	Electricity generated in 2010 (GWh)	Electricity generated in 2016 (GWh)
Australia	$2.37 \times 10^5$	$2.43 \times 10^5$
Japan	$1.09 \times 10^6$	$1.03 \times 10^6$
Spain	$2.91 \times 10^5$	$2.64 \times 10^5$
Turkey	$2.03 \times 10^5$	$2.62 \times 10^5$

(i)

Calculate how much more electricity was generated in Japan than in Australia in 2016.
Give your answer in standard form.

______ $\text{GWh}$

(ii)

Calculate the percentage increase in electricity generated in Turkey from 2010 to 2016.

______ %

(iii)

There was a 4% decrease in the amount of electricity generated in Spain from 2013 to 2016.

Calculate the amount of electricity generated in Spain in 2013.

______ $\text{GWh}$

The rest of this paper

9 more questions

Q2Statistics9M
Q3Geometry · Mensuration7M
Q4Geometry · Trigonometry · Number10M
Q5Probability8M
Q6Trigonometry · Algebra and Graphs · Mensuration12M
Q7Algebra and Graphs11M
Q8Coordinate Geometry7M
Q9Algebra and Graphs12M
Q10Number · Mensuration · Trigonometry12M

Loading the full paper…