All subjects · Mathematics · WST01 (S1)

S1 exam technique

The S1 paper (WST01) is a 1 hour 30 minute written exam worth 75 marks. Answer all questions; a calculator is allowed and the Mathematical Formulae and Statistical Tables booklet is provided. These habits pick up marks that strong students often lose.

Accuracy

Show your working

When a question says calculator-only solutions are not acceptable, or asks you to 'show that', every step must be visible. Write the numerical expression for Sxx, Syy, Sxy and the standardisation (x - μ)/σ before giving the value. A correct conditional probability with no working can score zero.

Context

Interpretation marks need the context: for a PMCC, say what the correlation means for the two named variables; for comparisons, name the statistic, give its value and say what it means ('the median running time is longer'). 'Strong positive correlation' alone is not enough.

Check your answers

Probabilities must lie between 0 and 1. Predictions should be sensible (no negative masses). Read whether a question wants P(X < a) or P(X > a), and sketch the normal curve every time.

Worked example

15 values have Σx = 202 and Σx2 = 2946. Show why the mean should not be rounded before finding the standard deviation.

  1. Exact: x̄ = 202/15 = 13.4666..., σ2 = 196.4 - 13.4666...2 = 15.0489
  2. Rounded: using 13.5 gives σ2 = 196.4 - 182.25 = 14.15

Answer: σ = 3.88 (exact) against 3.76 (rounded mean): the rounded answer loses the accuracy mark.

Key idea: 3 s.f. unless told; exact values in working; z to 4 d.p.; show every step; interpret in context; sanity-check answers.

Check yourself

  1. 15 values have Σx = 202 and Σx2 = 2946. Find the standard deviation, keeping the exact mean in your working. Give your answer to 3 significant figures.
    Show answer

    3.88. x̄ = 202/15; σ2 = 2946/15 - (202/15)2 = 15.0489; σ = 3.88.

  2. Write 0.106543 to 3 significant figures.
    Show answer

    0.107. The first three significant figures are 1, 0, 6; the next digit is 5, so round up: 0.107.

  3. The S1 paper has 75 marks in 90 minutes. About how many minutes should a 10-mark question take?
    Show answer

    12. 90/75 = 1.2 minutes per mark, so 12 minutes.

  4. Which z value should you use for P(Z > z) = 0.1 in an S1 answer?
    • 1.28
    • 1.3
    • 1.2816
    • 0.1
    Show answer

    1.2816. Examiners expect percentage points to 4 d.p.

  5. Which interpretation of r = 0.93 between hours of sunshine and ice-cream sales earns the mark?
    • Days with more sunshine tend to have higher ice-cream sales
    • There is strong positive correlation
    • r is close to 1
    • The data are reliable
    Show answer

    Days with more sunshine tend to have higher ice-cream sales. It refers to the named variables in context.

  6. Your answer to a probability question is 1.08. What should you do?
    • Round it to 1
    • Give it as 108%
    • Recheck the working, as a probability cannot exceed 1
    • Subtract it from 1
    Show answer

    Recheck the working, as a probability cannot exceed 1. Probabilities lie between 0 and 1; 1.08 signals an error.

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Last updated 7 November 2026. Spotted a mistake? Tell us.