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Applied Powers and Roots / Indices - Maths Problem Solving Worksheet + Answers

Applied Powers and Roots / Indices - Maths Problem Solving Worksheet + Answers

This is a collection of applied questions for the topic of powers and roots. The questions are designed to emphasise student understanding by identifying misconceptions and explaining their answers. Also has questions applying in a geometric context. The worksheet is A5 so can fit 2 to a page to save printing and fit better in student books. Was designed for high ability year 7 group, but could be used for any year groups up from this up to GCSE. Full answers provided.
MrWatkins123
Negative and Fractional indices

Negative and Fractional indices

Series of slides, questions/examples/starters I have used recently on negative/fractional indices. You might just want some questions for a bit of practice.
steele1989
Indices worksheet no 3 (with solutions)

Indices worksheet no 3 (with solutions)

A worksheet on simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Good for GCSE/IGCSE students. Detailed solutions are included.
math_w
Indices worksheet no 2 (with solutions)

Indices worksheet no 2 (with solutions)

A worksheet on simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Good for GCSE/IGCSE students. Detailed solutions are included.
math_w
GCSE 9-1 Number Questions (Bundle)

GCSE 9-1 Number Questions (Bundle)

These carefully selected compilations of exam questions have fully-worked solutions designed for students to go through at home, saving valuable time in class. Click 👉 tes.com/…/Exam Question Bundles… to download the other four bundles.<hr>I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. I also make them available for a student who wants to do focused independent study on a topic.<hr>👍If you like this resource, then please rate it and/or leave a comment💬. If the rate-resource button on this page doesn’t work, then go to your ratings page by clicking 👉 www.tes.com/…/rate-resources…
Maths4Everyone
Evaluating fractional indices

Evaluating fractional indices

Great for homework. Worksheet evaluating fractional indices. Questions in increasing difficulty. Starting with square roots and then moving onto higher powers. Includes fractions, combinations with negative indices and using the powers of powers rule. Answers included. Get much more with Flow Mathematics for your school. Visit https://flowmathematics.co.uk/schools/ and save up to 90%.
FlowMathematics
GCSE Foundation Maths Number Millionaire

GCSE Foundation Maths Number Millionaire

Add some fun to your exam revision lessons with this millionaire game. This resource is suitable for either KS3 or KS4 as a revision tool for revising GCSE Maths Number related topics. It includes sound effects as well as an engaging plenary featuring a clip from the actual television show. Topics covered include: -negative numbers -order of operations -types of numbers -percentages -fractions -inequalities -standard form -HCF -ratio -proportion
sabmer
Squares and Square Roots Quizzes and Game Boards

Squares and Square Roots Quizzes and Game Boards

Interactive and exciting way of learning and recalling the square and square roots facts and to reinforce understanding of these concepts after they have been introduced to the pupils. **These 2 videos can be used for: ** Whole class activity as a starter sessions, Independent activity with pupils working at their own pace Paired activity Assessment Resources you may need: Interactive white board and or laptops/tablets ** 2 Board Games included Game boards - 2 levels. To understand and reinforce square. Game boards - 2 levels. To understand and reinforce square roots. **Suitable for upper KS2 and KS3 Pupils **
iffatsardharwalla
Surds

Surds

Lots of questions on surds for students to try. Answers are at the bottom. Please let me know if you like it.
RAGMaths
Algebra for GCSE/IGCSE worksheets (with solutions)

Algebra for GCSE/IGCSE worksheets (with solutions)

A large collection of 24 worksheets (254 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Designed for the GCSE/IGCSE specification. Detailed solutions are included.
math_w
To be able to apply conventional notation for the priority of operations, including brackets, powers

To be able to apply conventional notation for the priority of operations, including brackets, powers

Please find within this download: A detailed and engaging PowerPoint, Differentiated (SEN, LA, MA, HA & Mastery) Worksheet with Answer Sheet for a complete lesson on this National Curriculum Statement. The PowerPoint has the following features: → Differentiated starter activity → Extremely logical and simplistic explanations with animated examples and pictures to aid learning → Careful step by step guidance that can be moved forwards and backwards through easily → Many opportunities for AfL embedded within the lesson → Plenary activity to finish the session The Word document has the following features: → Differentiated activities on one sheet from SEN, LA, MA, HA and Mastery Challenge → Coloured activity boxes to help you quickly assign tasks to children → Learning objective and short date (which automatically updates to the day you open the document) → Differentiated success criteria that link with the PowerPoint → Answer sheet included Explore our other Number Lessons:
SecondaryStars
All 50 Maths Foundation Homework Revision Sheets (9-1) - Includes all ANSWERS

All 50 Maths Foundation Homework Revision Sheets (9-1) - Includes all ANSWERS

This is a bundle of all 5 sets of my homework sheets. I have been giving these out as a homework booklet to my year 11’s all year. For me a booklet consists of Homework 1,11,21,31,41,and 51. We then go through the answers so students can self assess. I feel these have helped strengthen their understanding on some of the basic topics, leaving me more time in class to concentrate on more complex problems.
dandavies8
Junior Maths (Secondary) Worksheet Bundle (Number and Algebra)

Junior Maths (Secondary) Worksheet Bundle (Number and Algebra)

10 worksheets designed for the Australian Year 8 curriculum content ‘Number and Algebra’ – suitable for courses covering topics in junior (secondary) maths File contains 10 single page worksheets covering the following topics. The distributive law Arithmetic of rational numbers Rates and Ratios Power laws Percentages Factorisation Irrational numbers Plotting linear equations Solving systems of two linear equations Solving quadratic equations by completing the square
dpietrobon
Surds topic

Surds topic

4 full lessons 1 homework lesson 1 - introduction to surds lesson 2 - simplifying surds lesson 3 - rationalising the denominator lesson 4 - conjugate rationalising the denominator Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25
osmith25
Surds Homework

Surds Homework

Homework includes: Title, name, due date Questions Challenge questions Problem solver Exam style questions -Solutions for all Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25
osmith25
Rationalising the denominator lesson

Rationalising the denominator lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL whiteboards Codebreaker worksheet with solution Accessible for lower ability and challenge high ability Plenary FUSE Homework included (title, name, due date, questions, challenge, problem solver, exam style questions, solutions) Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25
osmith25
Year 5 Multiplication Test

Year 5 Multiplication Test

This is a test which tests the children’s ability to carry out the multiplication objectives for the Year 5 U.K national curriculum.It comes with a mark scheme. Please see my shop for other resources at: https://www.tes.com/teaching-resources/shop/d_roberts1
d_roberts1
Conjugate rationalising the denominator lesson

Conjugate rationalising the denominator lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL quick fire questions AfL true or false AfL misconceptions questions Chilli challenge questions Accessible for lower ability and challenge high ability Plenary FUSE Please leave a review For more resources: https://www.tes.com/teaching-resources/shop/osmith25
osmith25
Powers - resources to teach, practice, revise and assess

Powers - resources to teach, practice, revise and assess

This set of resources covers evaluating and simplifying expressions with powers. The first resource is 18 multiple choice questions on evaluating powers for students to attempt (I usually get my class to do this in pairs/small groups). The second resource is a worksheet with different sections that focus on evaluating with postive integer powers and 0, negative integer powers, then fractional powers. Each section contains examples to work through as a class and then an exercise for students to attempt. Answers are included. The third and fourth resource cover simplifying expressions, following the same format and the 1st and 2nd. The powerpoint contains slides that revise how to evaluate and simplify expressions with powers - useful as a plenary or as a refresher at the start of a lesson. The multiple choice questions cover both evaluating and simplifying - useful as a revision resource or a quick assessment. Solutions provided. The final resource is a set of questions to cover the whole powers topic, some of which are examination style questions. Answers are included.
langy74
Complete Series of Surds lessons

Complete Series of Surds lessons

4-part series of Surds lessons, taking pupils from Intorduction to rationalising using the conjugate. Fully differentiated and animated, with answers. Will save you a huge amount of time. Lessons have worked very well with a range of different classes. Lesson 1 - Intorduction to Surds Lesson 2 - Simplifying Surds Lesson 3 - Rationalising Surds Lesson 4 - Rationalsing using the conjugate Let me know what you think.
nhardee1
Simplifying surds lesson

Simplifying surds lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL quick fire questions AfL whiteboard Escape room activity Accessible for lower ability and challenge high ability Plenary FUSE Please leave a review For more resources: https://www.tes.com/teaching-resources/shop/osmith25
osmith25
Indices with fractional and negative powers full lesson resources

Indices with fractional and negative powers full lesson resources

This folder contains several resources to help teaching indices with fractional and negative powers. It includes: A power point with included starter of reciprocals and past AQA exam questions on indices A bingo with instructions, bingo cards and teachers question card - allowing for tailoring of questions to match groups ability and if laminated, can be used with white board marker and wiped clean after each use. A work sheet split into three sections - negative powers, fractional powers and the two combined. An extension sheet where unknown could be the question, the power or part of the solution e.g x^-3=8 A homework sheet. Henry’s homework - a completed homework sheet including misconceptions for students to mark and advise. An indices colouring sheet (although this does also include some surds questions) A tarsia activity - complete shape is diamond pattern. Hope this helps - all feedback gratefully appreciated.
sian-ceri
10 GCSE Maths Foundation Homework Revision (9-1) Part 2 -Includes all ANSWERS

10 GCSE Maths Foundation Homework Revision (9-1) Part 2 -Includes all ANSWERS

Here I have created revision worksheets for my current Foundation Year 11s. There are a total of 50 worksheets, designed to help students to master the 1 and 2 marks questions. I give these out as a weekly homework, and my students have come on leaps and bounds. Them covering these small topics on a weekly basis, allows me to cover the more in depth topics in class. This is set 1-10. Enjoy. Topics covered: Probability lines Simplifying algebra Types of number Solving equations Nth Terms Angles Mixed numbers and improper fractions Substitution Change the subject Inequalities Probability
dandavies8
Escape room simplifying surds

Escape room simplifying surds

Escape room activity Navigate through several questions increasing in difficulty. Multiplying, dividing and simplifying surd questions. Please leave a review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25
osmith25
Power Laws Worksheet

Power Laws Worksheet

Worksheet covering the power laws, index notation, with examples and practice problems. Keywords: Power laws, index laws, exponential laws, power notation, index notation, exponential notation, bases and indices, indicial notation, exponentiation, inverse power laws, fractional powers, fractional exponents, fraction powers, fraction indexes, fractal powers, fractal indexes, fractal indices, powers of integers, power of variables, variable exponents.
dpietrobon
Introduction to surds lesson

Introduction to surds lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL true or false AfL Multiple choice Differentiated questions and solutions Accessible for lower ability and challenge high ability Plenary FUSE Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25
osmith25
Cluedo - Number

Cluedo - Number

Adapted resource from @danwalker (https://www.tes.com/teaching-resource/algebra-cluedo-6339269) Two version of Cluedo based on number topics including FDP, ratio, error intervals, surds, etc. Foundation and Higher
lj9g08
Indices laws homework

Indices laws homework

Homework includes: Title, name, due date Questions Challenge questions Problem solver Exam style questions -Solutions for all Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25
osmith25
Set of 3 Arithmetic Quizzes to support with KS2 SATs

Set of 3 Arithmetic Quizzes to support with KS2 SATs

A range of different question all focused on KS2 arithmetic style. Perfect and engaging activity right before SATs. Can be done in teams or pairs but partner talk can support with methods. Answers are on the PowerPoint to go through the methods with the children is set of 4 or 5. Children have an answer grid for own responses All Quizzes have same layout but different questions
chimneys86
Year 6 Final Arithmetic Quiz to support with KS2 SATs

Year 6 Final Arithmetic Quiz to support with KS2 SATs

A range of different question all focused on KS2 arithmetic style. Perfect and engaging activity right before SATs. Can be done in teams or pairs but partner talk can support with methods. Answers are on the PowerPoint to go through the methods with the children is set of 4 or 5. Children have an answer grid for own responses Same layout to previous quiz but different questions. Does not need to be done after other quiz.
chimneys86
Year 6 Next Arithmetic Quiz to support with KS2 SATs

Year 6 Next Arithmetic Quiz to support with KS2 SATs

A range of different question all focused on KS2 arithmetic style. Perfect and engaging activity right before SATs. Can be done in teams or pairs but partner talk can support with methods. Answers are on the PowerPoint to go through the methods with the children is set of 4 or 5. Children have an answer grid for own responses Same layout to previous quiz but different questions
chimneys86
Year 6 First Arithmetic Quiz to support with KS2 SATs

Year 6 First Arithmetic Quiz to support with KS2 SATs

A range of different question all focused on KS2 arithmetic style. Perfect and engaging activity right before SATs. Can be done in teams or pairs but partner talk can support with methods. Answers are on the PowerPoint to go through the methods with the children is set of 4 or 5. Children have an answer grid for own responses
chimneys86
Last Minute SATs Maths Revision KS2

Last Minute SATs Maths Revision KS2

Designed and used by a year 6 teacher with a 93% maths SATs score in 2017. A set of resources that have been tried and tested to get that last minute boost. This works perfectly to remind and embed all the concepts needed to do well in the arithmetic and reasoning papers. Please check out my other resources by clicking my name at the top of the page. SATs reading comprehension games Reasoning Paper revision Loads of English SATs based writing
andrewchown
Powers, Roots and Cubes Differentiated Worksheet

Powers, Roots and Cubes Differentiated Worksheet

Suitable for both Key stage 3 and 4. This worksheet is designed to help pupils revise powers, roots and cubes. The worksheet is fully differentiated (mild, medium spicy and hot) allowing pupils to work at different levels simultaneously.
sabmer
Practice exercise year 8 mathematics

Practice exercise year 8 mathematics

This math worksheet is to help year 8 mathematics students revise topics they must have come across during the school year. It includes twenty multiple choice questions and two theory questions based on topics such as simple interest, decimals, fractions and percentages, ratio, rate, proportion and a bit of linear functions. This resource will help with the end of term examinations where applicable. I hope it will be of immense help to you.
9jamind
LESSON: BIDMAS/BODMAS Order of Operation ppt

LESSON: BIDMAS/BODMAS Order of Operation ppt

A PowerPoint lesson on the Order of operation aimed at KS2-KS4 (GCSE). Content: Clear Objectives and Outcomes BIDMAS Order of operations Use of calculators Differentiated printable worksheets If you like what you see, please feel free to leave a review and comment on the resource. Check out my latest PowerPoint lesson Uploads and other resources! Many thanks
cookiemonster611