Edexcel IGCSE Maths June 2024 Paper 1H: question paper and mark scheme (4MA1)

3 4MA1 questions like these, with worked solutions

Written and checked by us, not taken from the Pearson paper. Try each one, then tap "Worked solution" to see every step and its marks.

1. Quadratic Equations

   The product of two consecutive positive integers is 132. Find them.

   Worked solution

   1. $n(n+1)=132$, so $n^2+n-132=0$.
   2. $(n+12)(n-11)=0$.
   3. $n=11$ (positive), so 11 and 12.

   Answer: 11 and 12

2. Congruent Triangles

   Two triangles each have sides 5 cm and 8 cm with an included angle of ${70}^{\circ }$. Are they congruent?

   Worked solution

   1. Two sides and the angle between them are equal.
   2. Yes: congruent by SAS.

   Answer: Yes (SAS)

3. Bearings and Constructions

   A goat is tied to a post by a 5 m rope in a large field. Describe the region it can reach and find its area.

   Worked solution

   1. The goat can reach every point within 5 m of the post: a circle of radius 5 m and its inside.
   2. Area $=\pi \times 5^2=78.5$ m² (3 s.f.).

   Answer: Disc of radius 5 m; 78.5 m²

More on these topics: Quadratic Equations · Congruent Triangles · Bearings and Constructions

What was on this paper

Every question on 4MA1/1H, with the topic it tests, matched by us from Pearson's examiner report for the paper. Each topic opens our worked examples and exam-style questions on it.

4MA1/1H: question by question

Tap a question number to learn that topic and practise questions on it. Topic labels are ours (high confidence, checked 2026-09-26); the questions themselves are in the official paper.

1. Q1Sequences 1: Term-to-Term & Linear nth Term · Sequences
2. Q2Probability 1: Theoretical Probability · Probability
3. Q3Highest Common Factor (HCF) and Lowest Common Multiple (LCM) · HCF, LCM and Prime Factors
4. Q4Percentage 2 · Percentages
5. Q5Polygons 1 · Angles and Polygons
6. Q6Brackets 1 · Expanding and Factorising
7. Q7Sets 1: Set Language & Notation · Sets and Venn Diagrams
8. Q8Surface Area 1: Prisms & Cylinders · Volume and Surface Area
9. Q9Standard Form 1 · Indices and Standard Form
10. Q10Indices 1 · Indices and Standard Form
11. Q11Pythagoras' Theorem 1 · Pythagoras' Theorem
12. Q12Algebraic Fractions 2: Operations · Algebraic Fractions, Quadratic Equations
13. Q13Probability 3: Probability Trees · Tree Diagrams and Conditional Probability
14. Q14Simple and Compound Interest · Percentages
15. Q15Functions 4: Inverse Functions f⁻¹(x) · Functions
16. Q16Probability 4 · Probability
17. Q17Surds 1: Simplifying, Expanding & Rationalising · Surds
18. Q18Differentiation 2: Gradients of Curves · Differentiation
19. Q19Harder Trigonometry Problems 1 · Sine and Cosine Rules
20. Q20Arcs, Sectors & Segments · Circles, Arcs and Sectors
21. Q21Graph Transformations 1: f(x)+a, f(x+a) · Graph Transformations
22. Q22Representing Data 2 · Histograms and Cumulative Frequency
23. Q23Volume & Surface Area 2: Cones, Spheres, Pyramids & Frustums · Volume and Surface Area
24. Q24Sequences 3: Sum of an Arithmetic Series · Sequences, Angles and Polygons
25. Q25Completing the Square 2 · Completing the Square

Where marks were lost on this paper, and the fix

From Pearson's examiner report for this paper, in our own words. Try the question first, then check your working against each point.

• Reverse percentages: finding a percentage of the new amount (1H Q4). Fix: Write "original × multiplier = new", then divide. Check by multiplying back.
• Completing the square with a negative x² coefficient (1H Q25). Fix: Factor out the coefficient of x² (with its sign), complete the square inside, then multiply back carefully.
• Histograms: reading heights as frequencies (1H Q22). Fix: Frequency = frequency density × class width. Use a bar you know to work out the scale.
• Graph transformations of f(x) (1H Q21). Fix: f(x + a): move left a; f(x) + a: up a; −f(x): reflect in x-axis; f(−x): reflect in y-axis. Read the scale.
• Differentiation: forgetting the negative root and the context (1H Q18). Fix: Write ± when square-rooting. "Turning point", "gradient" and "maximum" all mean differentiate.
• Probability tables: dividing the remainder by the wrong number. Fix: Count the outcomes that share the remaining probability. For "given" questions, restrict the sample space first.
• Inverse functions: collecting x terms (1H Q15). Fix: Multiply out, get every term with x on one side, factorise, divide.

What the examiners said about this paper

Summarised in our own words from the board's examiner report (Examiner Insights).

• 4MA1/1H: Reverse percentages (Q4); Completing the square with a negative x² coefficient (Q25); Histograms (Q22). Official examiner report ↗

Question-by-question topics, the top mistakes and what to focus on next →

Formula booklet

International GCSE Mathematics A formulae sheet (Higher tier) · Pearson Edexcel · 4MA1 specification, Appendix 5 (current)

4MA1 has no separate booklet: the Higher tier formulae sheet is printed inside every exam paper and in Appendix 5 of the specification (the link).