4WM1H/01 · Unit 1 Higher

Edexcel International GCSE Maths 4WM1H/01 Unit 1 Higher Mock Test 1

  • 100 questions
  • 120 minutes
  • Calculator allowed
  • Instant result

A full-length practice paper for Edexcel International GCSE Maths A (Modular) Unit 1 Higher, 4WM1H/01: 100 questions in 2 hours, covering every Unit 1 topic from recurring decimals and surds to the sine and cosine rules, histograms and conditional probability.

Before you start
  1. The timer starts when you press Start test and cannot be paused. Keep paper, a pen and your calculator ready, and write your working as you would in the exam.
  2. Each question has one correct answer. There is no negative marking, so answer every question.
  3. You can move between questions and flag any to come back to.
  4. When time runs out, the test is submitted automatically.
  5. Your score, topic breakdown and step-by-step solutions appear as soon as you submit.

Your details

About 4WM1H/01 Mock Test 1

A full-length practice paper for Edexcel International GCSE Maths A (Modular) Unit 1 Higher, 4WM1H/01: 100 questions in 2 hours, covering every Unit 1 topic from recurring decimals and surds to the sine and cosine rules, histograms and conditional probability.

It has 100 questions to finish in 120 minutes, the same time as the real 4WM1H/01 paper, which is sat on Wednesday 4 November 2026, morning. There is one mark per question and no negative marking.

Topics in this mock

  • Decimals4
  • Fractions and percentages5
  • Ratio, proportion and money3
  • Surds and powers9
  • Degree of accuracy5
  • Set language, notation and Venn diagrams6
  • Algebraic manipulation9
  • Linear equations4
  • Linear graphs6
  • Quadratic equations and graphs8
  • Compound measures4
  • Geometry of shapes5
  • Perimeter, area and sectors6
  • Pythagoras' theorem and trigonometry6
  • Advanced trigonometry7
  • Graphical representation of data5
  • Probability8

Worked examples (not from this test)

Try each one, then open the solution. They use the same methods as the questions in the mock.

  1. Decimals
    Write 0.36 as a fraction in its simplest form.
    Show answer and working
    1. Let x = 0.363636…
    2. Two digits recur, so multiply by 100: 100x = 36.363636…
    3. Subtract: 99x = 36, so x = 3699.
    4. Simplify by dividing by 9: 411.

    Answer: 411

  2. Surds and powers
    Rationalise the denominator of 10√5. Simplify your answer.
    Show answer and working
    1. Multiply the top and bottom by √5: 10√5√5 × √5.
    2. √5 × √5 = 5, so this is 10√55.
    3. Simplify: 2√5.

    Answer: 2√5

  3. Algebraic manipulation
    Write x2 − 8x + 3 in the form (x + a)2 + b.
    Show answer and working
    1. Halve the coefficient of x: −8 ÷ 2 = −4, so start with (x − 4)2.
    2. (x − 4)2 = x2 − 8x + 16, which is 16 too many.
    3. x2 − 8x + 3 = (x − 4)2 − 16 + 3 = (x − 4)2 − 13.

    Answer: (x − 4)2 − 13

  4. Advanced trigonometry
    In triangle ABC, angle A = 40°, angle B = 75° and BC = 12 cm. Work out the length of AC, correct to 3 significant figures.
    Show answer and working
    1. BC is opposite angle A, and AC is opposite angle B, so use the sine rule.
    2. ACsin 75° = 12sin 40°
    3. AC = 12 × sin 75° ÷ sin 40° = 18.03…
    4. AC = 18.0 cm (3 s.f.).

    Answer: 18.0 cm

  5. Graphical representation of data
    In a histogram, the class 10 < t ≤ 25 has a frequency of 18. Work out the height of its bar (the frequency density).
    Show answer and working
    1. Frequency density = frequency ÷ class width.
    2. Class width = 25 − 10 = 15.
    3. 18 ÷ 15 = 1.2.

    Answer: 1.2

  6. Probability
    A bag has 5 red and 7 blue counters. Two counters are taken at random without replacement. Work out the probability that both are red.
    Show answer and working
    1. First counter red: 512.
    2. One red counter has gone, so the second is red with probability 411.
    3. 512 × 411 = 20132 = 533.

    Answer: 533

More practice: Mock Test 2 · Mock Test 3 · Mock Test 4 · All 4WM1H/01 mock tests, exam facts and FAQ

Written and checked against the Pearson Edexcel specification by the The Vector Academy maths team. Last updated 29 October 2026.

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