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ÌÇÐÄVlog

Last updated

1 September 2026

pdf, 68.34 KB
pdf, 68.34 KB

Premium 2-page math worksheet on evaluating indices with negative bases. Features 24 questions contrasting odd and even powers with a full worked key!

Develop your students’ foundational calculation precision and index law fluency with this structured Indices with Negative Bases Worksheet Pack! Aligned seamlessly for Key Stage 3 Mathematics mastery and GCSE preparation, this resource eliminates predictable repetition and forces students to recognize core structural arithmetic patterns.

Resource Structure & Topic Coverage:
• 24 Index Calculations with Negative Bases: 24 horizontal questions evaluating positive integer powers applied to negative bracketed parameters.
• Odd vs. Even Index Hurdles: Targeted problem loops explicitly training students to identify when a calculation results in a positive value (such as (-5)^2 = 25) versus a negative value (such as (-3)^3 = -27) [INDEX].
• Base Negative One Fluency: Built-in diagnostic problems utilizing a base of negative one to evaluate baseline rule recall across odd and even indices (such as (-1)^6 vs. (-1)^7).
• Powers of Base Ten: Questions push students to accurately manage column place-value zeros alongside shifting negative parameters (such as evaluating (-10)^3 and (-10)^4).
• Worked Solutions: A complete matching layout answer document is provided for painless marking, independent checking, or minimal-prep cover lesson schedules.

Curriculum Alignment:
• Apply integer powers fluently to negative bases inside bracketed expressions
• Distinguish conceptually between odd and even index rules for directed numbers
• Key Stage 3 Mathematics Mastery and Year 8/9 algebra tracking

Get this resource as part of a bundle and save up to 38%

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

Bundle

Integer Operations Bundle | PEMDAS Negative Numbers & Exponents Worksheets

Premium 5-worksheet bundle on directed numbers. Covers temperature charts, missing terms, all 4 operations, negative fractions/decimals, and index laws. Keys! Develop your students' foundational arithmetic confidence and index law fluency with this premium, all-inclusive Directed Numbers and Negative Integers Worksheet Bundle! Perfectly curated for Key Stage 3 extension blocks, GCSE Higher/Foundation revision cycles, and early secondary remediation, this multi-resource pack scaffolds calculation patterns flawlessly across 5 comprehensive worksheet modules. **Core Worksheet Packs Included Inside:** • **Module 1 (Contextual Directed Logic):** Real-world word problems utilizing a multi-city temperature table to reinforce relative sizing arrays, relative distance calculation, and net climate movements. • **Module 2 (Four Operational Mechanics):** Over 60 calculation fields balancing adding, subtracting, multiplying, and dividing directed terms alongside challenging double-negative operations. • **Module 3 (Algebraic Missing Term Grids):** 20 open box-framed equations forcing students to employ inverse operations to deduce the required missing multiplier or parameter. • **Module 4 (Fractions & Decimals under Negative Constraints):** Advanced problem rows testing decimal alignment thresholds and un-like fraction denominator harmonization (such as resolving -3.45 + -1.5 or -2/5 + 1/2). • **Module 5 (Indices with Negative Bases):** 24 evaluation lines contrasting odd and even index rules across directed bases, base negative one, and base ten blocks to solidify pattern-matching precision. • **Comprehensive Step-by-Step Solutions:** Fully worked answer keys accompany each worksheet pack to allow for effortless student self-marking, quick peer assessment, or minimal-prep cover lesson setups. **Curriculum Alignment:** • Order, compare, add, subtract, multiply, and divide directed whole numbers, decimals, and fractions fluently • Discriminate between odd and even index laws across negative base parameters inside brackets • Key Stage 3 Mathematics Mastery and Year 7/8/9 algebra tracking

£3.90

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