IB Mathematics Analysis and Approaches Topic SL…

The mass and diameter of some moons in our solar system are shown in the table:

List the moons in order of mass (in kg), starting with the lowest.

Find the radius, in kilometres, of Io, giving your answer correct to $2$ significant figures.

Giving your answer in standard form, find the total mass, in kilograms, of Europa and Titan.

The volume of a sphere is $\frac{4}{3}\pi r^3$ .

Giving your answer in standard form, find the volume, in cubic kilometers, of Europa.

A concert hall has $1.2 \times 10^3$ attendees on its opening night. Each performance attracts 80 more attendees than the previous one.

Find the number of attendees at the 8th performance in scientific notation.

Find the total number of attendees in the first 20 performances.

At which performance does attendance first exceed $2.0 \times 10^3$ ?

A satellite imaging system transmits large amounts of data for climate monitoring. One such satellite can transmit $(2.5 \times 10^{14})$ bytes per second.

Calculate how many bytes this satellite can transmit in one day. Express your answer in standard form.

Express this number in exabytes, where 1 exabyte represents $1 \times 10^{18}$ bytes.

If another satellite transmits $(3.0 \times 10^{16})$ bytes in a day, compare the performance by calculating the ratio of the first satellite's daily transmitted data to the second satellite's daily transmitted data. Express your answer in standard form.

Supercomputers process large data sets for scientific research. One such supercomputer can perform $(1.5 \times 10^{15})$ calculations per second (1.5 petaflops).

Calculate how many calculations this supercomputer can perform in one day. Express your answer in standard form.

Express this number in exa-operations, where 1 exa-operation represents $1 \times 10^{18}$ calculations.

If another supercomputer performs $(2.0 \times 10^{17})$ calculations in a day, compare the performance by calculating the ratio of the first supercomputer's daily calculations to the second supercomputer's daily calculations. Express your answer in standard form.

A radio observatory can record $(2.4 \times 10^{14})$ signals per second.

Calculate how many signals this observatory can record in one day. Express your answer in standard form.

Express this number in exa-signals, where 1 exa-signal represents $1 \times 10^{18}$ signals.

If another observatory records $(3.6 \times 10^{16})$ signals in a day, compare the performance by calculating the ratio of the first observatory's daily signals to the second observatory's daily signals. Express your answer in standard form.

Europa	$4.80 \times 10^{22}$	$3120$
Ganymede	$1.48 \times 10^{23}$	$5270$
Titan	$1.35 \times 10^{23}$	$5150$
Io	$8.93 \times 10^{22}$	$3640$

IB Mathematics Analysis and Approaches SL 1.1—using Standard Form Questionbank

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IB Mathematics Analysis and Approaches SL 1.1—using Standard Form Questionbank

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IB Mathematics Analysis and Approaches (AA) Topic SL 1.1—using Standard Form Questionbank