A worksheet on determining whether a number belongs in the sets of natural numbers, integers, rational numbers and real numbers. It consists of a table to be completed. Solutions are included.

This no-prep math worksheet helps students master classifying real numbers into subset classifications including natural numbers, integers, and rational numbers. It features a comprehensive classification table, a conceptual true or false section, and a full teacher answer key—making it an ideal revision tool or homework task for KS3, KS4, and GCSE Maths classes! [1]

Master the classification of number sets with this ready-to-print revision worksheet!

What is the Real Number System?
In mathematics, the real number system consists of all numbers that can be found on a continuous number line. This system is divided into distinct subsets:
• Natural Numbers (N): Counting numbers starting from 1 (e.g., 1, 2, 32).
• Integers (Z): Whole numbers, including positive, negative, and zero (e.g., -65, -13).
• Rational Numbers (Q): Any number that can be written as a fraction or a ratio of two integers, including repeating or terminating decimals (e.g., 2/7, 5.19, -0.673).
• Real Numbers ®: The overarching category containing all rational and irrational numbers.
Learning to identify and sort numbers into these classifications can be challenging for secondary math students. This straightforward, highly effective practice page is designed to help pupils confidently categorize values and understand the subset relationships between different number sets. It is perfect for a quick homework assignment, a cover lesson plan, a retrieval entry task, or an exit ticket! [1, 2]

What is Included in this Resource?
• 1 PDF File containing:
o Comprehensive Classification Table: Students classify 15 different numbers—including negative integers, fractions, non-terminating decimals, and simplified exponential values—into N, Z, Q, and R sets.
o True or False Concept Check: 6 critical thinking questions to target common mathematical misconceptions (e.g., “Is 0 a rational number?”).
o Set Notation Question: A multiple-choice subset question reinforcing the fundamental hierarchy: N ⊂ Z ⊂ Q ⊂ R.
o Complete Teacher Answer Key: Fully populated table and answers to allow for quick marking or student self-assessment.

Target Age & Curriculum Alignment:
• Ages: 11 to 16 years old (Secondary)
• Key Stages: KS3 Math and KS4 / GCSE Mathematics revision
• Topic Focus: Number properties, subset classification, set notation symbols (⊂) [1]

No Preparation Required!
Simply download, print, and distribute. The worksheet is cleanly structured and ready to use immediately in the classroom. No cutting or formatting adjustments are needed! []