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Last updated

7 August 2026

pdf, 95.4 KB
pdf, 95.4 KB

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!

Get this resource as part of a bundle and save up to 47%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Positive & Negative Integers Decimals Fractions Operations Worksheet Bundle

Four worksheets introducing the students to addition, subtraction, multiplication and division 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 compare numerical expressions. Solutions are included. Master four operations on directed numbers with this no-prep KS3 maths worksheet bundle. Covers positive & negative integers, fractions, decimals & BIDMAS! ________________________________________ Save time and money with this comprehensive, ready-to-print Directed Numbers and Fractions bundle! This comprehensive printable bundle brings together 4 rigorous, high-quality math resources designed to build total procedural fluency with positive and negative numbers. Moving sequentially from basic integers to complex fractions, missing number algebra frames, inequalities, and multi-step order of operations (BIDMAS) review, this pack provides weeks of independent practice, homework tasks, or assessment material. It is an exceptional match for Key Stage 3 (KS3) and Key Stage 4 (KS4) Foundation Tier GCSE preparation, or early secondary numeracy intervention groups. **What resources are included in this bundle?** • **Resource 1: Adding Positive & Negative Numbers Worksheet** o Focuses on integer sums, rational decimal columns, and signed horizontal fractions. o Includes missing addend algebra frames and multi-layered expression addition. • **Resource 2: Subtracting Positive & Negative Numbers Worksheet** o Targets the subtraction of signed integers, decimals, and mixed fractions. o Solidifies the concept of subtracting negatives (adding the additive inverse). • **Resource 3: Multiplying Positive & Negative Numbers Worksheet** o Establishes multiplication sign rules for cross-cancelling fractions and decimals. o Features inequality comparison tasks and multi-factor simplification problems. • **Resource 4: Dividing Positive & Negative Numbers Worksheet** o Covers integer division, horizontal fraction inversion, and division of mixed numbers. o Features rigorous, layered fractional BIDMAS/order of operations challenge sets. **Why Teachers Love This Bundle:** • **Excellent Value:** Purchasing this all-in-one pack gives you a built-in discount compared to buying each resource individually. • **Zero Prep Required:** Simply download, print out the PDFs, and hand them directly to your classes—perfect for main lessons, homework tasks, or emergency cover work. • **Progressive Rigour:** Within every file, questions naturally scale from fundamental directed number mechanics to challenging multi-step extension questions. • **Fully Worked Solutions:** Every single worksheet includes a thorough teacher memorandum showing all algebraic steps for effortless marking, peer assessment, or student self-checking. **Curriculum & Exam Board Alignment:** • **UK National Curriculum:** Key Stage 3 (KS3) and Key Stage 4 (KS4) Mathematics – Order of operations (BIDMAS), calculations with directed numbers, decimals, and fractions. • **Exam Boards:** Highly relevant for Edexcel, AQA, and OCR GCSE Maths (Foundation Tier) modules. ________________________________________

£3.55

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