Expanding and Factorising Brackets Mixed Exercise Maths Worksheet

Expanding and Factorising Brackets Mixed Exercise Maths Worksheet

First section simplifying simple algebraic expressions, second section expanding single brackets, third section expanding and then simplifying, and the final section factorising expressions. This is good for consolidation of the expanding and factorising brackets. For more a simpler worksheet or slower pace visit http://www.9-1gcsemathsworksheets.com/algebra-maths-worksheets-answers/factorising-expressions-maths-worksheets/
MrMathsWorksheets
nth term of a decreasing arithmetic sequence

nth term of a decreasing arithmetic sequence

A task I used with more able Year 8 students. Students are given decreasing arithmetic sequences - but most of the terms are missing. They must first determine the missing terms, and then work out the nth term. The gaps that indicate missing terms are quite small, sorry, so you may want to get students to copy out the sequences into their books. You get 2 copies of the activity on one sheet of A4. Solutions are provided - the completed sequences and their nth terms are in separate documents.
HTMaths
Reasoning problem, working systematically - Find all possibilities for Homer's doughnuts

Reasoning problem, working systematically - Find all possibilities for Homer's doughnuts

A fantastic reasoning activity that helps children improve their problem solving and ability to work systematically. The problem starts with 3 objects and moves on to four. There is also an opportunity for more able children to make predictions for 5 and 6 objects and then test their theories. Very able children may make connections such as once you find all the possibilities for one starting object, you can multiply this by the total number of objects for the number of possibilities altogether. Images Doughnuts by moziru.com and cliparting.com Homer by haveforkwilleat.com
carlylolou
Trickier Sequences

Trickier Sequences

Worksheet with six interesting sequences that requires learners Decide whether it is an arithmetic, quadratic or geometric sequence. Then try to work out the nth term. Check your nth term works for the fifth term of the sequence.
wrighty8
GCSE Maths Revision Pack: Grade 3-5 Algebra and Geometry Bundle

GCSE Maths Revision Pack: Grade 3-5 Algebra and Geometry Bundle

A GCSE revision pack bundle containing 10 worksheets. Each pack of worksheets contains questions which build from grade 3 - 5 level. With each worksheet containing nine questions clearly laid out and with space for the students’ response. All worksheets have been produced in collaboration with a subject lead for Maths. The topics covered by the algebra pack include: Substitution nth term Expanding single brackets and simplifying Solving linear inequalities and representing on a number line Index laws Solving linear equations Expanding double brackets Factorising quadratic expressions Solving linear simultaneous equations All answers are included on a separate sheet for the teacher. The topics covered by the geometry pack include: Volume of a cylinder Alternate and corresponding angles Bearings Names of parts of circles Pythagora’s theorem Regular polygons Area and perimeter of sectors of circles Right angled trigonometry Volume and surface area of cones and spheres This resource is perfect for use in revision sessions or set as a homework task to complete. The answer sheets make it easy for self or peer marking to take place in the classroom too.
beckystoke
Sequences investigation (using square and hexagonal tile patterns)

Sequences investigation (using square and hexagonal tile patterns)

There are 2 simple sequence investigations, one using square tiles and one using hexagonal tiles. Each investigation has an A4 worksheet to set out the problem and a PowerPoint presentation to go through the solution. There are also 2 extension investigations that involve square and triangular numbers. The method of using simultaneous equations to find a quadratic formula is shown in the accompanying Powerpoint along with a more visual approach. These investigations can also be used as examples after which you may ask students to create their own patterns with square/hexagonal tiles and find solutions to their own questions. To help students do this there is a sheet of other hexagonal tile sequences to give them some ideas.
McArdleTeaching
Sequences

Sequences

Exploring sequences through a series of big problems that encourage students to find multiple methods. There are additional questions to promote deeper thought and understanding around a new method or technique. We begin at finding the nth term and conclude with ‘is a term part of a sequence?’. I’ve removed resources used to practise and consolidate methods due to restictions but all content is freely available from corbettmaths.com and variationtheory.com
baconeducation
GCSE Maths Revision Pack: Grade 3 - 7 Super Bundle

GCSE Maths Revision Pack: Grade 3 - 7 Super Bundle

A GCSE revision pack super bundle containing 25 worksheets. Super bundle includes: 10 worksheets targeted at students aiming for a grade 5 5 worksheets for those students aiming for a grade 7 5 laddered worksheets focusing on alegbra and differentiated for grades 3-5 5 laddered worksheets focusing on geometry and differentiated for grades 3-5 All worksheets have been produced in collaboration with a subject lead for Maths. Each worksheet contains nine questions clearly laid out and with space for the student’s response. The topics covered by the grade 5 worksheets include: Exact values of trigonometric functions Standard form Area and perimeter of semi and quarter circles Solving linear equations Right angled trigonometry Expanding brackets Volume and surface area of a cylinder Error intervals Compound and simple interest All answers are included on a separate sheet for the teacher. The topics covered by the grade 7 worksheets include: Simplifying indices, including fractional and negative Using quadratic formula Sine and cosine rule Circle theorems Direct and inverse proportion Multiplying brackets with surds Area of triangle formula Completing the square 3D trigonometry The topics covered by the laddered grade 3-5 algebra worksheets include: Substitution nth term Expanding single brackets and simplifying Solving linear inequalities and representing on a number line Index laws Solving linear equations Expanding double brackets Factorising quadratic expressions Solving linear simultaneous equations The topics covered by the laddered grade 3-5 geometry worksheets include: Volume of a cylinder Alternate and corresponding angles Bearings Names of parts of circles Pythagora’s theorem Regular polygons Area and perimeter of sectors of circles Right angled trigonometry Volume and surface area of cones and spheres These resources are perfect for use in revision sessions or set as homework tasks to complete. The answer sheets make it easy for self or peer marking to take place in the classroom too.
beckystoke
GCSE Maths Laddered Algebra Revision Pack: Grades 3-5

GCSE Maths Laddered Algebra Revision Pack: Grades 3-5

A GCSE revision pack focusing on algebra, containing 5 worksheets, clearly differentiated and great for building students’ confidence in their ability in the subject. Produced in collaboration with a subject lead for Maths, each worksheet contains nine questions clearly laid out and with space for the student’s response. The questions build from grade 3 - 5 level. This pack can also be purchased alongside the two ‘Aiming for Grade 5’ revision packs and ‘Aiming for Grade 7’ revision pack as part of a discounted bundle. The topics covered by the pack include: Substitution nth term Expanding single brackets and simplifying Solving linear inequalities and representing on a number line Index laws Solving linear equations Expanding double brackets Factorising quadratic expressions Solving linear simultaneous equations All answers are included on a separate sheet for the teacher. This resource is perfect for use in revision sessions or set as a homework task to complete. The answer sheets make it easy for self or peer marking to take place in the classroom too.
beckystoke
Sequences Search - using the nth term (Substitution)

Sequences Search - using the nth term (Substitution)

This is similar to a resource already on TES that I really like (https://www.tes.com/teaching-resource/gcse-maths-sequences-search-worksheet-6158880) but I wanted an activity that required more substitution into nth terms rather than pattern-spotting, so this is what I came up with. Students have to find the 1st, 2nd, 5th, 10th, 50th and 100th terms of sequences using the given nth terms. They cross off all of their answers in the grid above. For ease of marking, there will be 10 numbers left over in the grid after the activity is completed. Students should add these together, and if they’ve made no mistakes, they’ll get a total of 1000. Full solutions are still provided however!
HTMaths
GCSE Maths Higher Level Homework Worksheets

GCSE Maths Higher Level Homework Worksheets

This resource includes 10 homework worksheets for GCSE Maths Higher Level, levels 4 to 7. Each worksheets has 20 questions on it covering a range of topics from completing the square to solving estimated mean. I have included the answers at the end of each worksheet.
claire1580
GCSE Maths Intermediate Level Homework Worksheets

GCSE Maths Intermediate Level Homework Worksheets

This resource includes 10 homework worksheets for GCSE Maths Intermediate Level, levels 3 to 6. Each worksheets has 20 questions on it covering a range of topics from trigonometry to solving equations. I have included the answers at the end of each worksheet.
claire1580
GCSE Maths Revision sequences and the nth term

GCSE Maths Revision sequences and the nth term

A GCSE Maths Worksheet covering sequences & the nth term Suitable for GCSE Students sitting the 9 – 1, A-Level Maths students revision and some Key Stage 3 students. Suitable for all the big examination boards including AQA, Edexcel, OCR and WJEC. This was taken from my 150 Page workbook which covers many more maths topics. Please check it out here https://www.tes.com/teaching-resource/gcse-mathematics-150-page-summer-holiday-workbook-11940692 Or alternatively Check my store for other individual free worksheets such as this one. If you like it please leave a comment below, use the rating system or send us a message. All feedback is valued & welcome. Enjoy!
theeducationspecialist
GCSE MATHS  sequences worksheet

GCSE MATHS sequences worksheet

A GCSE Maths Worksheet covering sequences and the nth term Suitable for GCSE Students sitting the 9 – 1, A-Level Maths students revision and some Key Stage 3 students. Suitable for all the big examination boards including AQA, Edexcel, OCR and WJEC. This was taken from my 150 Page workbook which covers many more maths topics. Please check it out here https://www.tes.com/teaching-resource/gcse-mathematics-150-page-summer-holiday-workbook-11940692 Or alternatively Check my store for other individual free worksheets such as this one. If you like it please leave a comment below, use the rating system or send us a message. All feedback is valued & welcome. Enjoy!
theeducationspecialist
The nth term of a sequence worksheet no 2 (with solutions)

The nth term of a sequence worksheet no 2 (with solutions)

A worksheet on identifying the first few terms of an arithmetic sequence given the nth term formula or the first term and the common difference and finding the nth term formula of a given linear sequence. Solutions are included. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html
math_w
Maths Murder Mystery

Maths Murder Mystery

Contains a PowerPoint which is a series of 5 lessons, perfect to cover a full week of maths lessons. It is a Murder Mystery based around children using their knowledge of problem-solving and patterns to complete a set of clues, one for each lessons in order to find the killer. Each time they solve the clue they cross names off their suspect list. Perfect for recapping or revising problem-solving or pattern finding. Also includes a worksheet for children to record their answers to each clue on each lesson.
HollywoodR95
Quadratic sequences rich tasks

Quadratic sequences rich tasks

At least a lesson’s worth of activities on the theme of quadratic sequences. Designed to come after pupils have learnt the basics (how to use and find an nth term rule of a quadratic sequence). Gives pupils a chance to create their own examples and think mathematically. There are four activities included: Activity 1 - given sets of four numbers, pupils have to order them so that they form quadratic sequences. Designed to deepen pupils understanding that the terms in a quadratic sequences don’t necessarily always go up or down. Activities 2 and 3 - on the same theme of looking at the sequences you get when you pick and order three numbers of choice. Can you always create a quadratic sequence in this way? What if you had four numbers? Could be used to link to quadratic functions. Activity 4 - inverting the last activity, can pupils find possible values for the first three terms and a rule, given the fourth term? A chance for pupils to generate their own examples and possibly do some solving of equations in more than one variable. Where applicable, worked answers provided.
danwalker
GCSE 9-1 Maths TRICKY Exam Paper (Grade 7+)

GCSE 9-1 Maths TRICKY Exam Paper (Grade 7+)

A GCSE Maths exam paper which is designed to be more challenging than your average GCSE Maths paper and is aimed at students who are aiming for grades 7/8 or 9 (MODEL SOLUTIONS ARE ALSO INCLUDED) And as a thank you for downloading this I will email you another resource for free :) There are 15 questions with a total of 60 marks and it can be used as either an exam paper for revision or as a worksheet in class or on your own to tackle trickier grade7-9 questions. The questions have been picked from topics such as: Circles and the equation of the centre and finding the radius Surds and Rationalising The Quadratic formula Completing the Square Quadratic & Geometric series Algebraic Proofs Quadratic Inequalities Transformations of graphs Functions I hope this resource is helpful for you in your studies, If there are any questions or emails regarding the questions and paper please leave me a message/comment and i’ll get to it ASAP. Please be sure to leave a review and feedback as it helps me improve my resources!
alastairj123
Gauss's formula

Gauss's formula

A complete lesson on the theme of the formula for 1+2+3+…+n, looking at how the rule emerges in different scenarios. Activities included: Starter: A classic related puzzle - counting how many lines in a complete graph. After the initial prompt showing a decagon, two differing approaches to a solution are shown. These will help pupils make connections later in the lesson. This is followed by a prompt relating to the handshaking lemma, which is the same thing in a different guise. Pupils could investigate this in small groups. Main: A prompt for pupils to consider the question supposedly put to Gauss as a child - to work out 1+2+3+…+100. Gauss’s method is then shown, at which point pupils could try the same method to sum to a different total. The method is then generalised to obtain Gauss’s rule of n(n+1)/2, followed by a worksheet of related questions. These include some challenging questions requiring pupils to adapt Gauss’s method (eg to work out 2+4+6+…+100). Plenary: A final look at the sequence Gauss’s rule generates (the triangle numbers). Please review if you buy as any feedback is appreciated!
danwalker
Quadratic shape sequences

Quadratic shape sequences

A complete lesson on patterns of growing shapes that lead to quadratic sequences. See the cover image to get an idea of what I mean by this. Activities included: Starter: A matching activity relating to representation of linear sequences, to set the scene for considering similar representations of quadratic sequences, but also to pay close attention to the common sequences given by the nth term rules 2n and 2n-1 (ie even and odd numbers), as these feature heavily in the lesson. Main: A prompt to give pupils a sense of the intended outcomes of the lesson (see cover image). An extended set of examples of shape sequences with increasingly tricky nth term rules. The intention is that pupils would derive an nth term rule for the number of squares in each shape using the geometry of each shape rather than counting squares and finding an nth term rule from a list of numbers. A worksheet with a set of six different shape sequences, for pupils to consider/discuss. The nth term rules have been given, so the task is to justify these rules by considering the geometry of each shape sequence. Each rule can be justified in a number of ways, so this should lead to some good discussion of methods. Plenary: Ideally, pupils would share their differing methods, but I’ve shown a few methods to one of the sequences to stimulate discussion. Printable worksheets (2) included. Please review if you buy as any feedback is appreciated!
danwalker
Finding the nth term rule of a quadratic sequence

Finding the nth term rule of a quadratic sequence

A complete lesson on finding the nth term rule of a quadratic sequence. This primarily focuses on one method (see cover slide), although I’ve thrown in a different method as an extension. I always cover linear sequences in a similar way and incorporate a recap on this within the lesson. Starter: To prepare for the main part of the lesson, pupils try to solve a system of three equations with three unknowns. Main: A recap on finding the nth term rule of a linear sequence, to prepare pupils for a similar method with quadratic sequences. Examples on the core method, followed by a worksheet with a progression in difficulty for pupils to practice. I’ve included two versions of the worksheet - a simple list of questions that could be projected, or a much more structured worksheet that could be printed. Worked solutions are included. A worked example of an alternative method, that could be given as a handout for pupils who finish early to try on the questions they’ve already done. Plenary: A proof of why the method works. I’d much rather show this at the start of the lesson, but in my experience this usually overloads students and puts them off if used too soon! Please review if you buy as any feedback is appreciated!
danwalker
Generating quadratic sequences

Generating quadratic sequences

A complete lesson on using an nth term rule of a quadratic sequence. Starter: A quick quiz on linear sequences, to set the scene for doing similar techniques with quadratic sequences. Main: A recap on using an nth term rule to generate terms in a linear sequence, by substituting. An example of doing the same for a quadratic sequence, followed by a short worksheet for pupils to practice and an extension task for quick finishers. A slide showing how pupils can check their answers by looking at the differences between terms. A mini-competition to check understanding so far. A set of open questions for pupils to explore, where they try to find nth term rules that fit simple criteria. The intention is that this will develop their sense of how the coefficients of the rule affect the sequence. Plenary: A final question with a slightly different perspective on generating sequences - given an initial sequence and its rule, pupils state the sequences given by related rules. No printing needed, although I’ve included something that could be printed off as a worksheet. Please review if you buy, as any feedback is appreciated!
danwalker
Recognising and extending quadratic sequences

Recognising and extending quadratic sequences

A complete lesson for introducing quadratic sequences. Rather than go straight into using or finding nth term rules, the focus is on looking at differences between terms to identify and extend given sequences. Activities included: Starter: A related number puzzle Main: Slides/examples to define quadratic sequences A set of sequences, some quadratic, for pupils to determine whether they are quadratic or not. A more challenging, open-ended task, where, given the first, second and fourth terms of a quadratic sequence, pupils form and solve an equation to find the third term. Having solved once for given numbers, pupils can create their own examples. Plenary: A comparison between linear and quadratic sequences. No printing required, please review if you buy as any feedback is appreciated!
danwalker
GCSE Maths 9-1 Exam Tips And Revision Help! (GRADE 7-9)

GCSE Maths 9-1 Exam Tips And Revision Help! (GRADE 7-9)

This is a revision sheet/exam helpsheet aimed at students aiming for grade between 7 to 9 and to help push grade 6 students to a 7. The sheet alone won’t magically push their grades up but features examples for certain topics and things to remember during the exam and other information regarding certain formulae that has to be remembered and the grade boundaries and what to aim for. Certain topics covered: Surds and Rationalising Algebraic Fractions Quadratic Sequences Geometric Sequences Circles Algebraic Proofs Completing the square and finding the turning point I hope this revision sheet will be useful for you in your study or for any students doing their GCSE’s PLEASE review and leave me feedback if you do download my sheet! If you notice any mistakes please contact me and i’ll amend anything ASAP.
alastairj123
GCSE Maths 9-1 Practise Paper 2H

GCSE Maths 9-1 Practise Paper 2H

A GCSE Maths paper designed to help you practise like a full exam by following the typical exam style and design. This paper features questions on topics such as: Surds and rationalising Simultaneous Equations Inequalities (Linear and Quadratic) Compound Interest Perpendicular Lines and Gradients Expanding Triple Brackets Pythagoras Theorem Indices Ratios I hope this is helpful in your exam practise, Paper 1 and 3 will be available soon also! Feel free to use in classrooms as extra practise if needed or as a private tutor, I would appreciate any feedback and rating my paper if you found it useful!
alastairj123
Factors - Mastering Mathematics

Factors - Mastering Mathematics

This PowerPoint presentation by Mastering Mathematics is designed to support learners in their journey to mastering the concept of ‘factors’. Within the PowerPoint Mastering Mathematics guides learners through questions which explore the different learning stages from application, fluency, reasoning to problem solving. Mastering Mathematics have included a review section so that learners can ensure they are confident they have mastered ‘factors’. Mastering Mathematics have designed this PowerPoint to be effective at supporting learners from KS2 - KS4, providing stretch and challenge to those learners developing Mastery whilst also supporting learners at the beginning of this journey.
crocker710
Nth term

Nth term

A presentation to support the teaching of the nth term with objectives, examples and differentiated student tasks with answers.
wrighte
Position in a sequence using the nth term

Position in a sequence using the nth term

Codebreaker activity, deciding whether a number is in a sequence or not. Pupils chose yes or no then rearrange the letters to give a capital city, The other side is a worksheet where pupils are given the nth term of a sequence and have to either find the term given the term number or vice versa. 3 sequences progressively harder, (positive/negative/quadratic). Easily adaptable and the answers are given.
pmmb8
Sequences Quizzes

Sequences Quizzes

Powerpoint files designed for use with Quizdom remotes, but works just as well as Powerpoint quiz. Used it with KS3 to reinforce understanding. Could use as plenary for linear sequence lesson. If have weak KS4 class they would benefit from it too.
SFairfield
Year Six - Autumn, Spring and Sum 1 (Follows order of White Rose)

Year Six - Autumn, Spring and Sum 1 (Follows order of White Rose)

All teaching slides for Autumn and Spring and Sum 1. Influenced by recent maths hub CPD training and mastery/CPA approach to teaching mathematics. Includes reasoning and problem solving activities to explore, model and discuss in order to teach the underlying mathematical concepts. Follows ORDER of White Rose teaching guidance. Join the Facebook group ‘mastering primary maths’ for preview lessons in the files section :)
xkarenx
Quadratic Sequences 2 (Loop Cards)

Quadratic Sequences 2 (Loop Cards)

I love to start one-to-one tutorials/interventions with a loop card activity. They are also excellent when working with small groups or as a starter or plenary for a whole class. To see all the available loop-card topics click 👉 tes.com/…/More Loop Cards….<hr>This particular set of cards allows students to practise finding the nth term formulae for quadratic sequences. Note that the questions have been carefully selected so that they provide good coverage of this sub-topic and so that the opportunities for students to guess answers are minimised.<hr>Colour coding: All my loop cards are colour-coded to indicate the approximate level of the questions: KS2 – red and orange KS3/GCSE Foundation – orange and green GCSE Higher – green, blue and purple<hr>Further information: In this download there are four sets of similar cards and a student chooses one of the sets and sorts them into order by answering the questions. Then they try to do it faster using a different set, which has the same questions, but a different sort order 😃 My favourite use of loop cards is for two students to have different versions of the cards and race each other. They then check their answers, shuffle, swap packs and race again (quickest overall time wins). More instructions are included in the download. Cut out card size is approx. 65 x 90 mm.<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
11 Plus Non-Verbal Make Your Own

11 Plus Non-Verbal Make Your Own

We have had great progress with pupils and non-verbal when they have used this sheet to create their own pattern. Worksheet includes example to work from. The final question allows the pupil to recap and explore new patterns. A must for any child taking the 11 Plus.
Hugostrange
KS2 Maths Investigations Bundle

KS2 Maths Investigations Bundle

2 packs of KS2 Maths Investigations - one set includes 5 investigations around a ‘Chinese New Year’ theme (Could also be used as part of a topic on China), the other set includes 5 investigations with a World Cup theme (football). These investigations allow children to explore possibilities, work systematically, find patterns, predict results and analyse outcomes. Children will be able to show their reasoning and problem solving skills through a range of interesting activities. Every investigation also includes a challenge activity to extend higher attaining children. An answers document is also included to support teaching. Leave a review for this resource and get a FREE resource with three easy steps: STEP 1: Leave a review for this resource on TES. STEP 2: Email us at: learndbresources@gmail.com , saying which resource you’d like to get for FREE! STEP 3: We’ll email you any single paid resource from our shop for FREE!
MrBallard23