CAIE IGCSE Physics Mathematical and Data-Presentation Skills

Practise CAIE IGCSE Physics mathematical and data-presentation skills through formula rearrangement, density calculations and units in context.

Exam points

rearrange density relationships to calculate volume from mass and density data

Covered syllabus points

7.3.1 Numerical and algebraic calculations 7.3.2 Geometry, measurement and unit conversion 7.3.3 Graphs, charts and statistics 7.3.4 Record readings and tabulated data 7.3.5 Plot and analyse physical data 7.3.6 Extended trigonometry and curve gradients

[Maximum number: 2]

Fig. 3.1 shows a model of a wind turbine used to demonstrate the use of wind energy to generate electricity. The wind is blowing towards the model, as shown.

Fig. 3.1

The density of air is $1.3 \mathrm{~kg} / \mathrm{m}^{3}$ .

Calculate the volume of air passing through the circular area swept out by the turbine blades each second.

volume =

$\rho=\mathrm{m} / \mathrm{V}$ in any form $\mathrm{OR}(\mathrm{V}=) \mathrm{m} / \rho$ $\text { OR (V = )7.5 / } 1.3$

C1

$(\mathrm{V}=7.5 / 1.3=) 5.8 \mathrm{~m}^{3}$

A1

[Maximum number: 1]

The diagram shows part of a micrometer screw gauge.

Figure for Question 7.3 Mathematical and data-presentation skills question 2 — CAIE IGCSE Physics

What is the smallest reading that can be achieved using this micrometer screw gauge?

$0.0001 \mathrm{~mm}$

$0.01 \mathrm{~mm}$

$0.1 \mathrm{~mm}$

$1 \mathrm{~mm}$

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Covered syllabus points

7.3 Mathematical and data-presentation skills question 1

7.3 Mathematical and data-presentation skills question 2