7. Assessed scientific skills

Syllabus
0625–2026–2027
Section
7
Level
—

7.1 Handling information and problem-solving

Syllabus
0625–2026–2027
Topic
7.1
Level
—

Select, organise and present scientific information

Start by identifying the exact question or decision the information must answer. This controls which facts, values and sources are relevant.

Check Question to ask
relevance does this information address the required quantity or claim?
reliability is the source appropriate, traceable and scientifically credible?
comparability are variables, conditions and units compatible?
completeness is enough context retained to interpret the value correctly?

Group related information, put sequences in a logical order and use a labelled table, list or graph when it reveals structure more clearly than prose.

Every presented value needs an unambiguous heading, unit and sensible precision. State the source or condition when it affects interpretation.

Selecting information is not copying everything available. Irrelevant detail can hide the evidence needed to complete the task.

Translate scientific information between forms

Translation changes the representation of information while preserving its scientific meaning, quantities, relationships and units.

From To What must be preserved
words symbols/equation variable meanings and relationship direction
table graph paired values, scales and units
graph numerical statement coordinates, gradient or trend
equation words what changes, what is held constant and how quantities relate

The words 'distance equals speed multiplied by time' translate to d = vt. A straight distance–time line with constant gradient translates to constant speed.

Translate back into the original form as a check. If the reverse statement changes the meaning or units, the translation is incomplete.

A graph is not just a picture of a table. Axis choice, scale and units must retain the numerical relationship.

Manipulate numerical and other data accurately

Data manipulation means carrying out valid operations—such as ordering, subtracting, averaging, scaling, converting units or rearranging equations—without changing what the data represent.

Step Accuracy control
1 identify the required result and select the relevant entries
2 make units compatible before operating
3 write the operation or equation before substituting
4 calculate with guard digits, then round sensibly
5 include the unit and check size, sign and ordering

For race times 22.50 s and 23.20 s, the smaller time wins and the winning margin is 23.20 − 22.50 = 0.70 s.

Do not round intermediate values too early or compare numbers without their physical meaning: in a timed race, a smaller value is better.

Identify patterns, report trends and form conclusions

A pattern is a repeatable structure in data; a trend describes how one variable generally changes as another changes.

Stage Action
identify name the independent and dependent variables and their units
describe state increase, decrease, constancy, maximum/minimum or repeated pattern
quantify use values, ratios, gradient or range where evidence allows
qualify note anomalies, scatter and the interval over which the trend holds
conclude complete the task without extending beyond the evidence

Use 'directly proportional' only when the ratio is constant and the relationship would pass through the origin. A general increase alone is not enough.

A conclusion summarises what the evidence supports; it does not automatically explain why the pattern occurs.

Construct reasoned scientific explanations

A reasoned explanation links a claim to evidence using a relevant physics principle or causal mechanism.

Part Function
claim answer the exact 'what happens' or 'why' question
evidence cite the observation, value or established condition
reasoning apply the physics principle that connects evidence to the claim

Make the direction of cause and effect explicit: state the changed condition, the physical mechanism and the resulting change.

For a comparison, explain both sides or use an explicit 'greater because...' statement with the controlled condition.

Repeating the observed trend is description, not explanation. An explanation must supply the physical link.

Make evidence-based predictions

A scientific prediction states an expected outcome by extending a relationship or pattern supported by evidence.

Step Action
1 identify the relevant relationship and its valid range
2 place the new condition relative to the existing evidence
3 apply the relationship in the correct direction
4 state the predicted value or qualitative outcome with units
5 qualify uncertainty when extrapolating beyond the measured range

Interpolation predicts within the measured range and is usually safer. Extrapolation predicts beyond it and assumes the relationship continues.

A prediction is not a guess and is not automatically certain. It must name the evidence-based relationship and respect its limits.

Solve qualitative and quantitative physics problems

Unfamiliar problems are solved by mapping the new context onto principles already known from the syllabus, then reasoning logically from the given information.

Step Action
1 state what is given and what must be found
2 sketch, tabulate or symbolise the situation
3 choose the governing definition, law or relationship
4 solve logically; for calculations, show substitution and units
5 test the result against limiting cases, scale, sign and physical sense

For a qualitative problem, trace how one change affects the next quantity through a physics principle. For a quantitative problem, the same reasoning selects the correct equation before arithmetic begins.

Unfamiliar wording does not require a new law. Identify the familiar quantities and relationships hidden in the context.

Formula hunting without a model can produce a dimensionally neat but physically wrong answer. Explain why the chosen principle applies.

7.2 Experimental skills and investigations

Syllabus
0625–2026–2027
Topic
7.2
Level
—

Select and safely use experimental techniques and apparatus

Choose apparatus by matching its purpose, range, resolution and practical limits to the required measurement.

Need Selection principle
small diameter, such as wire micrometer screw gauge gives finer resolution than a ruler
time interval timer with suitable resolution and a clear start/stop event
electrical quantity correct meter, range and circuit connection
radiation direction shielding and collimation appropriate to the source

Identify hazards before starting, use the stated protective controls, keep the setup stable and follow the operating sequence so that safety and measurement validity are both preserved.

Read scales at eye level where parallax is possible, check zero before measuring, place the instrument correctly and record only precision justified by the scale.

The instrument with the finest resolution is not automatically best if its range, contact method or safety constraints do not suit the measurement.

Plan a controlled physics investigation

A plan must state the relationship being tested and make clear how evidence will be collected to test it.

Element What to specify
independent variable what is deliberately changed and the range/intervals
dependent variable what is measured and with which instrument
control variables what is kept constant and how
method ordered actions, apparatus arrangement and when readings are taken
quality repeats, averaging, range and enough values to reveal a trend
safety hazard, resulting risk and practical control

Where calibration is required, use known fixed values and wait for a stable reading before marking the scale—for example melting ice for 0 °C and steam above boiling water for 100 °C on a thermometer.

State how results will be processed or graphed so the planned measurements actually answer the investigation aim.

Listing apparatus is not a plan. Another learner should be able to reproduce the investigation and know which variables change, are measured and are controlled.

Make and record measurements appropriately

Record observations and measurements directly in a prepared table with each quantity named and its unit placed once in the heading.

Measurement feature Recording rule
analogue scale estimate between divisions only to a justified precision
digital display retain the displayed resolution unless the reading is unstable
repeated readings keep consistent decimal places, identify anomalies and calculate a mean when appropriate
calculated value use guard digits, then round to sensible significant figures

For a uniform thermometer scale, use the fraction of the distance between the 0 °C and 100 °C fixed points. If the liquid is 8 mm below 0 °C and extends 64 mm above 0 °C while the fixed-point separation is 80 mm, the indicated temperature is (64/80) × 100 = 80 °C.

Qualitative observations also need precise language: record colour, motion, sound or state changes without adding an explanation to the observation column.

More decimal places do not create greater accuracy. Precision must reflect instrument resolution and measurement conditions.

Interpret and evaluate experimental observations and data

Interpretation turns observations into a supported pattern or relationship; evaluation judges how strongly the method and data support that interpretation.

Check Evidence to inspect
pattern direction, shape, gradient or proportionality
anomalies points that depart from the overall pattern and possible reasons
repeatability spread among repeats and stability of the mean
uncertainty scale resolution, reaction time, reading range and relative uncertainty
validity whether controls and method isolate the intended relationship
limitations restricted range, systematic effects or assumptions

Use a best-fit line or curve to judge the overall relationship rather than joining points dot-to-dot. A scattered point should be investigated, not silently deleted.

A conclusion should state the supported relationship and its range, then acknowledge any limitation that materially weakens it.

Agreement with an expected value does not by itself prove a method is valid, and an anomalous point does not automatically invalidate the whole dataset.

Evaluate and improve an experimental method

A useful method evaluation identifies a specific weakness, explains how it affects the result and proposes a practical change that directly reduces that effect.

Limitation Likely effect Targeted improvement
energy lost to surroundings supplied energy is not all transferred to the intended object insulate, use a lid, reduce transfer time or account for apparatus heating
reaction-time timing random spread or systematic start/stop delay use electronic sensing or time many cycles
parallax on a scale reading shifted by viewing angle read perpendicular to the scale or use a fiducial marker
too few values trend poorly defined use more values over a wider safe range

Repeats reduce random uncertainty and help reveal anomalies; they do not remove a systematic zero error or heat loss.

Where possible, state the direction of bias. If energy lost to the surroundings is wrongly treated as heating the sample, a calculated specific heat capacity may be too high.

'Use better equipment' is not an actionable improvement. Name the equipment or change and explain which limitation it reduces.

7.3 Mathematical and data-presentation skills

Syllabus
0625–2026–2027
Topic
7.3
Level
—

Carry out numerical and algebraic physics calculations

Physics calculations require arithmetic, decimals, fractions, percentages, ratios, reciprocals, standard form, estimation and algebra, all attached to physical quantities and consistent units.

Step Control
1 identify known and unknown quantities with symbols and units
2 convert to one consistent unit system
3 select or construct the physical equation
4 rearrange algebraically before substituting
5 calculate without rounding intermediate values
6 round the final result appropriately and check by estimation

For direct proportion, doubling one quantity doubles the other; for inverse proportion, doubling one halves the other. A mathematical model must match the stated physical conditions.

The symbol Δ means a change: Δx = final x − initial x. It is not automatically the final value itself.

Write standard form as a × 10ⁿ with 1 ≤ |a| < 10. Preserve positive whole-number indices correctly in algebraic expressions.

Round only the final result unless an intermediate approximation is explicitly required. Early rounding can shift the final answer outside justified precision.

Use geometry, measurement and metric unit conversion

Physical geometry uses lengths, angles, areas, volumes and directions to model real objects and vector relationships.

Shape or relation Required result
circle circumference = 2πr; area = πr²
rectangle/triangle area = length × width; area = ½ × base × height
rectangular block/cylinder volume = lwh; volume = πr²h
right-angled triangle a² + b² = c²

For a scale diagram, state the scale, draw each length and direction accurately with ruler and protractor, construct the resultant, then convert its measured length back to the physical value.

Metric conversion factors must be raised to match the dimension: 1 cm = 10⁻² m, so 1 cm² = 10⁻⁴ m² and 1 cm³ = 10⁻⁶ m³.

Use N, S, E and W and specify clockwise or anticlockwise angles from a clear reference direction.

Do not apply a linear conversion factor unchanged to area or volume, and do not read a scale diagram before stating or identifying its scale.

Draw and interpret graphs, charts and statistics

Choose a graph or chart that represents the variables clearly, with each axis labelled by quantity and unit and with a scale suited to the data range.

Feature Meaning or method
gradient Δy/Δx with units from the axes
y-intercept y when x = 0, read or found by justified extension
y = mx + c straight line with gradient m and intercept c
direct proportion straight line through the origin
interpolation estimate within the data range
extrapolation estimate outside the range, with greater uncertainty
mean sum of values divided by number of values

A graph reveals direction, shape and proportionality. Distinguish a straight relationship with non-zero intercept from direct proportionality.

Joining every point does not necessarily represent the relationship. Use an appropriate best-fit line or curve and retain the evidence of scatter.

Record scale readings and tabulated data correctly

Where appropriate, read an analogue instrument to the nearest half of its smallest scale division, including interpolation between marks.

Requirement Correct practice
precision decimal places reflect the instrument's detectable difference
units include the unit in the quantity/unit heading, such as time/s
table body record numbers only, without repeating units in cells
repeats record every reading where repeats are appropriate
measured significant figures match the instrument used
calculated significant figures match the least precise raw quantity used
ratio express in the form x : y

A micrometer with 50 divisions across a 0.50 mm thimble movement has resolution 0.50/50 = 0.01 mm; record readings to that precision after checking zero error.

A calculated value should not claim more significant figures than the raw measurements support, and units belong in headings rather than after every table entry.

Plot and analyse physical data accurately

Transfer the table's quantity/unit headings to the axes, place the independent variable on the horizontal axis unless instructed otherwise and select simple 1, 2 or 5 × 10ⁿ scale steps.

Feature Standard
graph use data occupy more than half the grid in both directions where possible
points small clear crosses, plus signs or encircled dots; plotted within half a small square
best fit one thin smooth line or curve with scatter balanced on both sides
anomaly identify and omit from the fit only when clearly anomalous
intercept read to about half a small square after justified extension
straight-line gradient use a marked triangle spanning at least half the best-fit line

Calculate gradient = change in vertical quantity/change in horizontal quantity, using points on the best-fit line rather than necessarily raw data points. Give two or three significant figures and derive its unit from the axes.

A best-fit line need not pass through any individual point. Do not force it through the origin unless direct proportionality is supported.

Use trigonometry and find the gradient of a curve

For the Extended route, use sine, cosine, tangent and their inverse functions to connect sides and angles in right-angled triangles.

Relation Use
sin θ = opposite/hypotenuse opposite side or hypotenuse with angle
cos θ = adjacent/hypotenuse adjacent side or hypotenuse with angle
tan θ = opposite/adjacent two perpendicular components
θ = sin⁻¹(...), cos⁻¹(...) or tan⁻¹(...) find an angle from a side ratio

To find the gradient of a curve at a chosen point, draw a tangent that just touches the curve there and follows its local direction. Choose two well-separated points on the tangent, then calculate Δy/Δx.

Use a large gradient triangle to reduce the percentage effect of reading uncertainty, and include the gradient unit formed from vertical-axis unit divided by horizontal-axis unit.

A tangent is not a chord joining two points on the curve. Calculator angle mode must match the required degrees, and inverse trigonometric functions are not reciprocals.