Papers 2 & 3 style (Higher)HigherNot yet teacher-reviewed

Papers 2 & 3 style practice: Higher (calculator)

Eighty original Higher marks in the style of the calculator papers: bounds, the quadratic formula, circle-graph tangents, growth and decay, cumulative frequency, histograms, iteration and capture–recapture, with full mark schemes.

In the style of The Higher calculator papers (AQA Papers 2 and 3, Edexcel Papers 2 and 3, OCR Papers 5 and 6). These are original QuizQuip questions written against the DfE GCSE subject content — not AQA, Pearson Edexcel or OCR past-paper questions, and QuizQuip is not affiliated with any of the boards.

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Total marks
80
Time
1 h 30 min
Format
20 structured questions
Covers
Higher content with calculator work: standard form, bounds, algebraic solving including the quadratic formula, simultaneous equations with a quadratic, trigonometry, circle tangents, growth and decay, statistics and iteration

Set

The paper and mark scheme

Question paper

Papers 2 & 3 style practice paper

80 marks · 1 h 30 min · 11 pages

10 multiple-choice questions and structured questions with answer lines. Higher content with calculator work: standard form, bounds, algebraic solving including the quadratic formula, simultaneous equations with a quadratic, trigonometry, circle tangents, growth and decay, statistics and iteration.

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Mark scheme

PRO

Papers 2 & 3 style practice paper — mark scheme

Answers · Marking points · 5 pages

Model answers with a mark for each creditworthy point — for marking at home or in class.

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Coverage

Chapters in this paper

How to use

Work through it like the real exam

  1. 1Print the paper, or open the PDF and write your answers on paper.
  2. 2Set a timer and work without notes — the real thing is timed and closed-book.
  3. 3Mark your work with the mark scheme, one marking point at a time, including M marks for method.
  4. 4Redo every question you lost marks on, then revise that chapter.

Preview

The opening questions

Section A: Multiple-choice questions[10 marks]

Choose one answer for each question. Every correct answer scores one mark.

  1. 1

    Work out 0.7 × 0.06.

    1. A0.42
    2. B4.2
    3. C0.042
    4. D0.0042
    ( )
  2. 2

    (3.6 × 10⁴) ÷ (9 × 10²) equals

    1. A4 × 10²
    2. B4 × 10⁶
    3. C4 × 10
    4. D40 × 10³
    ( )
  3. 3

    √40, correct to 3 significant figures, is

    1. A6.3
    2. B6.33
    3. C6.324
    4. D6.32
    ( )
  4. 4

    £800 is invested at 4% compound interest for 2 years. The final amount is

    1. A£864
    2. B£865.28
    3. C£866
    4. D£832
    ( )
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Revision

Before you sit the paper

  • Revise every chapter this paper covers, using the free notes pages.
  • Do the quick quiz on each chapter and note where you lose marks.
  • Practise the topical questions with the mark schemes.
  • On calculator papers, give non-exact answers to 3 significant figures (angles to 1 d.p.) unless told otherwise; on the non-calculator paper, leave exact fractions and surds.

Tips

Exam tips

Method marks are real marks

  • Show every line of working — M marks are awarded for correct method even with a slip in the arithmetic.
  • Keep unrounded values in your calculator and round only the final answer.
  • Give answers the accuracy asked for: 3 s.f., or 1 d.p. for angles in degrees.
  • There is no formula sheet on GCSE papers — learn the memorised formulae list on each chapter page.

Questions

About the Papers 2 & 3 style (Higher)

Which real exams is this paper modelled on?

The Higher calculator papers: AQA 8300/2H and 3H, Edexcel 1MA1/2H and 3H, and OCR J560 Papers 5 and 6, each 80 marks in 1 hour 30 minutes. Every question here is original QuizQuip material — no past-paper or specimen questions are reproduced, and QuizQuip is not affiliated with any awarding body.

Which Higher topics need a calculator?

The quadratic formula, trigonometry beyond exact values, growth and decay multipliers, bounds calculations, cumulative frequency and histogram estimates, and iteration. This set gives each of them full-mark structured practice with mark schemes.

How do iteration questions usually mark the final answer?

You are given a rearrangement, asked to justify it or show a sign change, and then to iterate from a given start. Marks are for writing each iteration value, keeping enough decimal places (at least one more than the target), and stating when the value has stabilised to the requested accuracy.