Number types and sets

About this lab: Number types and sets

Interactive simulation for Cambridge IGCSE Mathematics 0580 topics 1.1 to 1.6: run the sieve of Eratosthenes on a 100 square, find square and cube numbers, common multiples and factors, sort rational and irrational numbers, draw prime factor trees and find the HCF and LCM with a Venn diagram, shade regions of two- and three-set Venn diagrams, convert fractions to decimals and percentages including recurring decimals, and calculate with fractions and negative numbers.

IGCSE Mathematics 0580, topics 1.1, 1.2, 1.4 and 1.6. Primes, squares, cubes, factors and multiples, prime factor trees with HCF and LCM, sets and Venn diagrams, fractions, decimals and percentages, and calculating with fractions and negative numbers.

Number types and sets is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 1 Number, sections 1.1 Types of number, 1.2 Sets, 1.3 Powers and roots and more). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 5 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

• 1.1 Types of number. Lessons: Types of number: primes, factors, multiples, rational and irrational.
• 1.2 Sets. Lessons: Sets, set notation and Venn diagrams.
• 1.3 Powers and roots. Lessons: Squares, cubes and roots.
• 1.4 Fractions, decimals and percentages. Lessons: Fractions, decimals and percentages.
• 1.5 Ordering. Lessons: Ordering quantities and inequality symbols.
• 1.6 The four operations. Lessons: The four operations: fractions, negatives and order of operations.

Full syllabus map: IGCSE Mathematics 0580 topic 1.

How to use this simulation

1. 1. Types of number.
2. 2. Prime factors, HCF, LCM.
3. 3. Sets and Venn diagrams.
4. 4. Fractions, decimals, percentages.
5. 5. Fractions and negatives.
6. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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