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Mathematical Requirements (Appendix C)

  • 15 subtopics
  • 44 things to know
  • All units

What Mathematical Requirements (Appendix C) covers

Mathematical Requirements (appendix C) is assessed throughout WJEC Biology and in the unit 5 practical examination rather than in one unit of its own. 155 recall questions across 15 subtopics.

Where it is assessed

All units

Skills assessed throughout, and in the unit 5 practical examination.

Check the WJEC specification ↗

The 15 subtopics

Each one has its own page. WJEC AS Biology students sit this topic in the first year.

What you need to know

Answer each one before you reveal it.

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Key term

Why is concentration given in mol dm⁻³ rather than mol cm⁻³ in most biological work?

Key term

Why is the logarithm of bacterial number plotted rather than the number itself?

Numbers

When is the median a more useful summary than the mean?

Key term

How are magnification, image size and actual size related, and what does the symbol ~ indicate before a value?

Numbers

State the formulae for the circumference and area of a circle, and for the volume and surface area of a block.

Numbers

Convert 0.02 mm to micrometres.

Numbers

Express a 3:1 phenotypic ratio as percentages.

Numbers

Which equation relates the final and initial numbers of bacteria to the number of divisions?

Key term

Distinguish between a bar chart and a histogram.

Key term

What should be included when describing data from a table or graph in an answer?

Numbers

What do you conclude if a calculated test statistic exceeds the critical value at p = 0.05?

Key term

Why must chi-squared be calculated from actual counts rather than from percentages?

Key term

What does a large value of t indicate about two sets of measurements?

Key term

Distinguish between the product-moment correlation coefficient and the rank correlation coefficient.

Key term

Why is standard deviation usually a better measure of dispersion than the range?

Key term

Why should units be written down at every step when substituting into an equation?

Numbers

Why is the point halfway between 10³ and 10⁴ on a logarithmic axis not 5.5 × 10³?

Key term

What two things must each axis of a graph show?

Key term

What do m and c represent in the equation y = mx + c?

Numbers

State the formulae for the volume and total surface area of a cylinder.

Numbers

A potato cylinder falls from 5.20 g to 4.68 g. Calculate the percentage change in mass.

Key term

What rule governs the number of significant figures in a calculated result?

Key term

A distance of 12.5 mm is divided by a time of 4.0 s. Give the speed to an appropriate number of significant figures.

Key term

Describe what a negative correlation looks like on a scatter diagram.

Key term

Define probability and state the range of values it can take.

Key term

Why would you select a correlation coefficient rather than a t-test?

Numbers

Calculate the standard deviation of the values 4, 6 and 8.

Key term

If the rate of an enzyme-controlled reaction ∝ substrate concentration, what happens when the concentration is doubled?

Key term

Why is a tangent needed to find the rate of change on a curved graph?

Key term

Why is the initial rate of an enzyme-controlled reaction compared, rather than the rate later on?

Key term

Convert 250 mm³ to cm³.

Key term

Why is percentage change in mass, rather than change in mass, plotted in an osmosis investigation?

Key term

What is meant by exponential growth of a bacterial population?

Key term

Find the mean, median and mode of the values 12, 14, 14, 15 and 20.

Key term

Why are the points of a scatter diagram not joined in order?

Key term

Two heterozygous parents are crossed for a single gene. State the probability that an offspring is homozygous recessive.

Key term

When should the chi-squared test be selected?

Key term

Why can a coefficient close to +1 still fail to be significant?

Key term

Two means have error bars showing one standard deviation, and the bars overlap considerably. What does this suggest?

Key term

How is magnification related to image size and actual size?

Key term

State the two equations used in the Hardy-Weinberg principle.

Key term

Which variable belongs on each axis of a graph of experimental results?

Key term

Explain why a graph of product formed against time levels off.

Key term

State the formula for the area of a circle.

Take Mathematical Requirements (Appendix C) further

The same content, four other ways.

Questions from this topic

Each one with the model answer underneath.

  1. 1

    How many cubic millimetres are there in one cubic centimetre?

    Model answer

    There are 1000 mm³ in 1 cm³, because each of the three linear dimensions is ten times larger.

  2. 2

    Convert 250 mm³ to cm³.

    Model answer

    250 mm³ is 0.25 cm³.

  3. 3

    Convert 0.02 mm to micrometres.

    Model answer

    0.02 mm is 20 μm, since 1 mm contains 1000 μm.

  4. 4

    How are metres, micrometres and nanometres related?

    Model answer

    One metre contains 10⁶ μm, and one micrometre contains 1000 nm.

  5. 5

    Express 2.5 × 10⁻⁵ m in micrometres.

    Model answer

    It is 25 μm.

  6. 6

    How is the unit of a rate worked out?

    Model answer

    It is the unit of the quantity being measured divided by the unit of time, so a breathing rate is in breaths min⁻¹ and a transpiration rate might be in cm³ h⁻¹.

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Chemical Elements Are Joined Together to Form Biological Compounds
Cell Structure and Organisation
Cell Membranes and Transport
Biological Reactions Are Regulated by Enzymes

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Mitosis is division of the nucleus.
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Mathematical Requirements (Appendix C) revision questions

Is Mathematical Requirements (Appendix C) examined at AS in WJEC Biology?
Yes. It sits in All units, which you take in the first year, so it is on the AS paper as well as counting towards the full A level.
What does Mathematical Requirements (Appendix C) cover in WJEC AS-Level Biology?
15 subtopics: arithmetic and numerical computation: appropriate units, decimal and standard form, arithmetic and numerical computation: ratios, percentages and estimating results, arithmetic and numerical computation: power, exponential and logarithmic functions, handling data: significant figures, arithmetic means and mean, handling data: median, frequency tables and histograms, handling data: scatter diagrams, probability, sampling, statistical tests and uncertainty: simple probability and selecting, probability, sampling, statistical tests and uncertainty: using the chi-squared test, probability, sampling, statistical tests and uncertainty: correlation coefficient, probability, sampling, statistical tests and uncertainty: standard deviation, algebra and magnification: mathematical symbols and changing the subject of an equation, algebra and magnification: substituting values, solving equations and using logarithms, graphs: translating between graphical, plotting two variables and linear relationships, graphs: intercepts, rate of change and slope of a tangent to a curve and geometry: circumferences, surface areas and volumes of regular shapes. Each one has its own page with questions and model answers.
How is Mathematical Requirements (Appendix C) organised?
By the WJEC 601-5290-0 specification, subtopic by subtopic, so it matches the order you are taught it in.

Every question in Mathematical Requirements (Appendix C), on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

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