Skip to content
Core Tier · Paper 3

IGCSE Maths Paper 3: Core Calculator Complete Guide

Paper 3 is one of the two Core tier papers in Cambridge IGCSE Mathematics 0580 and is the paper where a scientific calculator is permitted. Lasting one hour and thirty minutes and carrying 80 marks, it carries equal weight to Paper 1 and gives students the opportunity to demonstrate their mathematical understanding across the full range of Core syllabus content. The presence of a calculator means that questions can involve more complex numerical work, including statistical calculations, trigonometry at a basic level, and problems requiring multiple computational steps. However, students should not rely on the calculator as a crutch. Many questions still test understanding and method rather than pure computation, and marks are awarded for clear working regardless of whether a calculator was used. The paper typically contains between fourteen and eighteen questions, with a mix of short-answer and structured multi-part questions. The structured questions towards the end of the paper often build progressively, with earlier parts scaffolding towards more challenging applications. Students following the Core pathway sit both Paper 1 and Paper 3, with their combined marks determining a grade between C and G. Both Core papers carry equal marks, so strong preparation for Paper 3 is just as important as for Paper 1 in achieving the best possible Core grade. Time management still matters across the ninety-minute duration, and students should practise working through full past papers to build stamina.

Paper Format at a Glance

Duration

1 hour 30 minutes

Total Marks

80

Questions

14-18 structured and short-answer questions

Calculator

Allowed

Topic Breakdown

Number

25-30%

Percentage calculations, ratio problems, currency conversions, compound measures like speed and density, proportion, standard form calculations, upper and lower bounds at basic level

Algebra

15-20%

Solving linear equations, plotting straight-line graphs, interpreting real-life graphs, simple sequences, substitution into formulas, drawing and reading from graphs

Geometry and Measures

25-30%

Angle calculations with reasons, area and volume of standard 3D shapes, bearings, scale drawings, nets, Pythagoras' theorem, basic trigonometry (SOH CAH TOA)

Statistics

15-20%

Drawing and interpreting statistical diagrams, calculating averages from frequency tables, scatter diagrams and correlation, cumulative frequency at basic level, probability calculations

Transformations and Constructions

5-10%

Reflections, rotations, translations, enlargements, simple constructions with ruler and compasses, loci

Strategies for Paper 3

Know Your Calculator Inside Out

Being allowed a calculator is only an advantage if you know how to use it efficiently. Before the exam, make sure you can use your scientific calculator to find square roots, use the fraction button, calculate powers, use the memory function, and find trigonometric ratios. Practise entering complex calculations in one go rather than writing down intermediate results. Familiarise yourself with the order in which your calculator processes operations, and always use brackets to ensure the correct order. A few hours spent learning your calculator's features can save significant time in the exam.

Draw Large, Clear Diagrams

Paper 3 frequently includes geometry questions that require diagrams. Whether you are drawing a scale drawing, constructing a triangle, or sketching a graph, use at least half the available space and work neatly. Small, cramped diagrams lead to inaccurate readings and measurements. Keep your pencil sharp, use a ruler for all straight lines, and label all key points and measurements. For construction questions, leave all construction arcs visible as they may carry marks.

Use the Full Ninety Minutes Wisely

Ninety minutes for 80 marks gives you just over one minute per mark. This means you have a little breathing room, but do not waste it. Work steadily through the paper, spending appropriate time on each question. If you finish early, go back and check your answers, particularly any calculations where you may have miskeyed a number on your calculator. Reread word problems to ensure you have answered what was actually asked.

Show Working for Multi-Step Problems

Even with a calculator, you must show how you set up each problem. For example, if calculating the volume of a cylinder, write down the formula V equals pi r squared h, substitute the values, and then state the answer. Simply writing a final number without working risks losing all marks if the answer is wrong, whereas clear working can earn you method marks. Examiners want to see that you understand the mathematics, not just that you can press buttons.

Read Data Carefully in Statistics Questions

Statistics questions in Paper 3 often present data in tables, charts, or diagrams. Read all labels, scales, and keys carefully before attempting calculations. A common source of lost marks is misreading a scale on a bar chart or misinterpreting the class intervals in a frequency table. Take an extra thirty seconds to understand the data presentation before diving into calculations.

Common Pitfalls to Avoid

  • Entering calculations incorrectly into the calculator by forgetting brackets, leading to wrong answers due to order of operations
  • Rounding intermediate answers too early in multi-step problems, which introduces cumulative rounding errors in the final answer
  • Forgetting to include units in answers, especially for area (squared units) and volume (cubed units) questions
  • Drawing construction lines too faintly or erasing construction arcs that should be left visible for marks
  • Confusing the formulas for area and circumference of a circle, or surface area and volume of 3D shapes
  • Not using a ruler for graph plotting and drawing freehand lines that are too inaccurate to read values from

Sample Question Types

  • Calculate the percentage increase in the price of an item given original and new prices
  • Use Pythagoras' theorem to find the length of a side in a right-angled triangle embedded in a real-world context
  • Draw a cumulative frequency diagram from grouped data and use it to estimate the median
  • Calculate the volume of a prism given its cross-sectional area and length
  • Plot a straight-line graph from a given equation and use it to solve a related problem
  • Work out a bearing from a scale drawing and calculate the actual distance between two points

Frequently Asked Questions

Which calculator should I use for Paper 3?

A scientific calculator is required. The Casio fx-991EX ClassWiz or the Casio fx-83GT X are popular choices that are permitted in Cambridge exams. Ensure your calculator is not a graphical or programmable calculator, as these are not allowed. Whatever calculator you choose, practise with it extensively before the exam so you are familiar with all its functions.

Is Paper 3 harder than Paper 1?

Paper 3 uses a calculator and features more structured, multi-step questions than Paper 1, but the calculator availability helps with computational difficulty. The later questions on Paper 3 can be quite challenging for Core candidates, involving multi-step problems and unfamiliar contexts. However, the early questions are designed to be accessible, so starting confidently is important.

How much of my overall grade comes from Paper 3?

For Core tier students, your grade is determined by Papers 1 and 3 combined. Paper 3 carries 80 marks out of a total 160 (Paper 1 is also 80 marks), so Paper 3 accounts for 50% of your Core tier marks. Both papers are equally important to prepare for, as they contribute equally to your final grade.

Can I bring extra equipment to the exam?

Yes, and you should. Bring your scientific calculator with fresh batteries, a sharp pencil, an eraser, a ruler, a protractor, and a pair of compasses. All of these may be needed for Paper 3 questions. Some students also bring a spare calculator in case of battery failure. Ensure all equipment is in a clear pencil case as per your exam centre's rules.

Other Papers

Want Expert Help With Paper 3?

Book a free trial class with Teacher Rig for personalised, paper-by-paper exam preparation.