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Last updated

23 July 2026

pdf, 85.16 KB
pdf, 85.16 KB

A worksheet on evaluating powers of positive and negative integers. The exponents in these powers are positive integers or zero. Solutions are included.

Master indices with negative bases using this no-prep maths worksheet! Perfect for KS3 and GCSE Foundation (Years 7–11). Students evaluate powers, tackle the brackets trap, compare expressions, and order integers. Includes a complete step-by-step answers key!

Stop misconceptions about indices before they start with this targeted practice worksheet!
Evaluating powers with negative numbers is one of the trickiest concepts for secondary maths students. This comprehensive, no-prep worksheet is specifically engineered to help students conquer the difference between negative bases inside versus outside brackets. It moves smoothly from basic calculation to higher-order critical thinking tasks.

What’s Included in Your Download:
• Page 1: Indices Evaluation & Comparison – 16 targeted computation problems challenging students with various negative base configurations (e.g., comparing inside vs. outside brackets), followed by 6 complex index comparison inequalities.
• Page 2: Ordering & Series Thinking – Exercises for putting negative powers in ascending order, solving advanced alternating 1 and -1 series expansions, and a comprehensive True/False concept-check table.
• Pages 3-4: Full Solutions Key – Clear, complete mathematical sheets for every single problem to make marking or self-checking effortless.

Premium Features for Teachers:
• Conquers Common Errors: Specifically targets the classic student pitfall of expanding expressions with and without brackets.
• Scaffolded Practice: Tasks systematically scale up from computational practice to abstract analytical series and order tracking.
• Zero Prep Work: Ready for immediate classroom use—simply download, print, and copy. Ideal for main lessons, homework, revision, or cover work.

Curriculum Alignment (UK National Curriculum):
• KS3 / KS4 Number: Use positive integer powers and associate them with their corresponding roots.
• KS3 / KS4 Number: Order positive and negative integers, decimals, and fractions.
• Algebraic Proficiency: Master bidirectional calculations involving powers and signs within brackets.

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

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