

A worksheet introducing the students to addition of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms, find missing terms in given calculations, and decide whether some statements are true or false. Solutions are included.
This no-prep math worksheet helps secondary school students master calculations with directed numbers and negative fractions or decimals accurately. It features targeted addition and subtraction tasks, conceptual true/false questions, and a full teacher answer key—making it an ideal revision tool or homework task for KS3, KS4, and GCSE Maths classes!
Master the calculations of positive and negative values, fractions, and decimals with this ready-to-print revision worksheet!
What are Directed Numbers?
In mathematics, directed numbers are values that have both a size (magnitude) and a specific direction, represented by a positive (+) or negative (-) sign.
• Moving to the right on a number line represents adding positive values or subtracting negative ones.
• Moving to the left on a number line represents subtracting positive values or adding negative ones.
• This worksheet expands this foundational concept from whole numbers into rational numbers, including decimals, proper fractions, and mixed numbers.
What is Included in this Resource?
• 1 PDF File containing:
o Integer Operations Practice: 16 targeted addition and subtraction problems using positive and negative whole numbers (directed numbers).
o Rational Numbers Section: 14 advanced problems challenging students to calculate with signed decimals, proper fractions, improper fractions, and mixed numbers with common and uncommon denominators.
o True or False Conceptual Check: 6 critical thinking questions that target common mathematical misconceptions about the sums of negative values (e.g., “The sum of two negative numbers is a negative number.”).
o Complete Teacher Answer Key: A fully populated copy of the worksheet for fast, hassle-free marking or student self-assessment.
Target Age & Curriculum Alignment:
• Ages: 11 to 16 years old (Secondary school)
• Key Stages: KS3 Math and KS4 / GCSE Mathematics revision
• Topic Focus: Number properties, operations with directed numbers, adding and subtracting fractions, negative decimals
No Preparation Required!
Simply download, print, and distribute to your classroom immediately. The clean, structured layout provides plenty of room for students to write out their working out clearly. No extra formatting adjustments are needed!
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