IB Maths AA SL 1.1 Scientific Notation Questions

Practise IB Maths AA SL 1.1 by converting scientific notation, rounding quantities and interpreting scale in applied problems.

Exam points

Describe and interpret forces and motion for the target physics objective.
Apply the target objective using complete mark-scheme evidence.

[Maximum number: 4]

The diameter of a spherical planet is $6 \times 10^{4} \mathrm{~km}$ .

(a)

Write down the radius of the planet.

The volume of the planet can be expressed in the form $\pi\left(a \times 10^{k}\right) \mathrm{km}^{3}$ where $1 \leq a<10$ and $k \in \mathbb{Z}$ .

[ 1 ]

$3\times10^4$
or $30000\,\mathrm{km}$ . Accept $3\bullet10^4$ .

(b)

Find the value of a and the value of k.

[ 3 ]

Use the volume of a sphere with radius $3\times10^4$ :
$\frac43\pi(3\times10^4)^3=36\pi\times10^{12}=\pi(3.6\times10^{13}).$ $a=3.6,\qquad k=13$

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IB Maths AA SL 1.1 Scientific Notation Questions question 1

Question (a)

Question (b)