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Powers of Negative Numbers Worksheet & Answer Key | Exponents Practice

Powers of Negative Numbers Worksheet & Answer Key | Exponents Practice

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

19 August 2026

pdf, 68.78 KB
pdf, 68.78 KB

A worksheet on evaluating powers with negative base and positive exponent. Solutions are included.

Master evaluating indices with negative bases with this comprehensive, print-and-go secondary mathematics resource! Perfect for Key Stage 3 and Key Stage 4 students, this activity contains 32 carefully scaffolded questions complete with a step-by-step, fully worked mark scheme. Help your students build confidence with powers of negative numbers using integers, fractions, and zero indices.

Save time planning and give your students the targeted practice they need to master powers of negative numbers and the laws of indices!
Evaluating expressions with negative bases can be tricky for young mathematicians. This ready-to-print drill resource features 32 highly targeted questions explicitly designed to build fluid procedural accuracy. It transitions students systematically from standard whole-number bases to negative fractions and zero powers, forcing them to pay close attention to signs and brackets. Whether you need a quick homework task, targeted starters, or a reliable assessment for your number sense unit, this pack has you covered.

What’s Included:
• 32 High-Quality Questions: Includes a balanced mix of basic negative integer bases, higher-order exponents (up to the 6th power), zero index laws, and negative fractions (e.g., negative two-thirds cubed).
• Fully Worked Mark Scheme: A comprehensive, step-by-step breakdown of solutions is provided for all 32 questions—perfect for quick teacher assessment or independent student self-checking!
• Clean, Organized Layout: Clearly structured questions give students an excellent framework to organize their calculations and final answers cleanly.

Curriculum & Exam Board Alignment:
• KS3 Mathematics (Year 7, 8 & 9): Fits perfectly into the standard number and algebra tracks for negative numbers, powers, roots, and foundational index laws.
• KS4 GCSE Mathematics (Foundation & Higher): Ideal as a crucial refresher unit to eliminate sign errors before moving on to advanced algebraic indices and functions.

Ways to Use This Resource in Your Classroom:
• Lesson Starters / Lesson Finishers: Use a column of questions at the start of class to run quick sign-precision checks as students enter.
• Independent Homework Task: Reinforce your daily index laws lesson with focused skill practice.
• Revision & Exam Prep: Excellent for low-stakes arithmetic practice ahead of end-of-term assessments or GCSE mocks.
• Cover Lessons: Clear question prompts and a complete step-by-step mark scheme make this an incredibly low-maintenance resource to hand over for a cover class.

Get this resource as part of a bundle and save up to 40%

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

Bundle

Powers of Positive & Negative Integers and Fractions Bundle | 7th 8th Grade Math

A collection of three worksheets. A worksheet on evaluating powers of positive and negative integers. A worksheet on evaluating powers of positive and negative fractions. And a worksheet on evaluating powers with negative (integer or fraction). The exponents in these powers are positive integers or zero. Solutions are included. Master indices with this comprehensive Positive and Negative Integers and Fractions worksheet pack. Perfect for Key Stage 3 and Key Stage 4 maths revision, homework, or exam prep. ________________________________________ Take the stress out of planning your indices unit with this ready-to-print Powers of Positive & Negative Integers and Fractions Worksheet Bundle! Evaluating indices can be tricky for students, especially when handling a mix of negative bases, fractional bases, and the zero index rule. This comprehensive, carefully scaffolded 3-worksheet bundle provides the exact variety of practice your students need to build fluency and deep conceptual understanding. **What's Included in This 12-Page Bundle Pack?** This bundle includes 3 distinct multi-page worksheets, each complete with a full, page-for-page teacher answer key: • **Worksheet 1: Powers of Negative Numbers** o 32 targeted fluency questions focusing on whole-number bases. o Transitions smoothly from negative integers to negative fractional bases (such as -1/2 or -2/3). o Helps students master how odd vs. even powers affect negative signs. • **Worksheet 2: Powers of Fractions** o 18 core calculation problems focusing on positive and negative fractional bases. o A dedicated comparison section using inequality symbols (<, >, =). o An ascending order challenge to build number sense with exponential fractions. o 7 true or false conceptual questions to test deeper understanding of base rules. • **Worksheet 3: Powers of Integers** o 16 direct questions with tricky negative signs (including the difference between a negative base inside vs. outside brackets). o Advanced expression evaluation problems (calculating the sum of alternating index series like A = (+1)^1 + (-1)^2 + (+1)^3...). o 7 complex true or false mathematical proof statements. **Perfect For:** • Key Stage 3 (KS3) and Key Stage 4 (KS4) Maths mastery • GCSE foundation and higher tier index revision or targeted homework • Quick formative assessments, bellringers, and exam preparation • Emergency cover lesson plans (simply print and hand out!) **File Information:** • Format: Secure, high-quality PDFs ready for immediate printing.

£2.90
Bundle

Powers Of Positive And Negative Numbers Bundle

A collection of three worksheets on evaluating powers of positive and negative numbers. Solutions are included.

£2.50

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