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Practical Skills in the Written Papers

Mathematical skills and notation

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Overview

Recall questions on calculator skills, degrees and radians, quadratics, the symbols Δ, ∝, ≪ and ≫, probability, ratios, standard form, rearranging equations, geometry formulae, logarithms, order-of-magnitude estimates and small-angle approximations.

What you need to know

Answer each one before you reveal it.

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Key term

What calculator functions are required for solving physics problems involving exponential relationships?

Numbers

What is the relationship between degrees and radians?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What calculator functions are required for solving physics problems involving exponential relationships?

    Model answer

    Power functions (xⁿ), exponential functions (eˣ), and logarithmic functions (ln and log).

  2. 2

    When using a calculator for trigonometric functions, what must be checked regarding the angle unit?

    Model answer

    Whether the calculator is set to degrees or radians mode, matching the units in which the angle is expressed.

  3. 3

    What is the relationship between degrees and radians?

    Model answer

    360 degrees equals 2π radians, so 1 radian = 180/π degrees and 1 degree = π/180 radians.

  4. 4

    What methods can be used to solve quadratic equations in physics contexts?

    Model answer

    Factorisation, completing the square, or using the quadratic formula.

  5. 5

    What does the symbol Δ represent in physics equations?

    Model answer

    A change in a quantity, such as Δx meaning the change in x.

  6. 6

    How is probability used in the context of radioactive decay?

    Model answer

    The probability of decay in a given time interval is constant for each nucleus; this leads to the random nature of decay and the concept of half-life.

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Practical Skills in the Written Papers
The Practical Endorsement
Physical Quantities and Units
Making Measurements and Analysing Data

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A wave.
longitudinaltransversestationary

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AForce is a vector quantity.
BDistance is a scalar quantity.
CVelocity is a vector quantity.

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Density means mass per unit volume.
TrueFalse

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