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Higher Non Calc Problem solving questions with answers, from Edexcel Problem sets

Higher Non Calc Problem solving questions with answers, from Edexcel Problem sets

I have put together a selection of problems from the Edexcel problem solving packs 2, 3 and 4. The questions should all be suitable for the non calculator papers and include solutions. I have also included some questions that are deemed to be calculator paper questions but can be answered without a calculator to further enhance and practise problem solving skills. I printed them out on A3 sheets and allowed students to work as a group of 3 -4 to solve the problems - feedback from students was positive.
wbn
Solving equations and simultaneous equations progression test. INCLUDES ANSWER KEY.

Solving equations and simultaneous equations progression test. INCLUDES ANSWER KEY.

Here are 8 different exercises on Solving equations and simultaneous equations that can be used as a progression test ( total marks: 50) or as a practice worksheet. It includes: Simultaneous equations. Solving equations graphically and algebraically. Word problems. Simplification of expressions. Solving quadratic equations graphically and algebraically. Solving equations by trial and improvement. ANSWER KEY. I hope you find it useful. Please rate so I can improve as I go on!
sara-turner-montessori
Quadratic Graphs: What do you know?

Quadratic Graphs: What do you know?

Quadratics: What do you know about this quadratic? Students are given a quadratic equation and asked to work out: its factors where it crosses the axes what its graph would look like what it would be in completed square format where its minimum point is They are then given three other quadratics to work on, but are provided with different starting information - i.e., if they have the graph, can they work out the factors? Updated May 2018 Now with 2 additional bonus activities: Properties of Quadratic Graphs Worksheets Students have to identify the roots, turning point, y intercept and line of symmetry from a graph or function. Recognising Quadratic Graphs Activity Students have to match quadratic graphs to their functions by considering roots, y -intercepts and whether the co-efficient of x^2 is positive or negative. All activities include answers.
MathspadUK
Simultaneous quadratic equations lesson

Simultaneous quadratic equations lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples Investigation tasks AfL quick fire questions AfL whiteboards 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
Simultaneous equations graphically

Simultaneous equations graphically

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL whiteboard Match up activity Graphs Investigation 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
Graphs match up

Graphs match up

Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25
osmith25
Transforming graphs of a function/ Plotting transformations with Desmos/ GeoGebra

Transforming graphs of a function/ Plotting transformations with Desmos/ GeoGebra

L/O: To plot and then comment on transformations of a function. Worksheet activity where students type in basic function f(x)=x squared into Desmos or GeoGebra and then do various transformations of this function. Students plot and draw what happens on the graphs and make a comment about what they find. Comment sections are scaffolded to guide pupils in describing the transformation. The worksheet is 4 sides of A4, with a gradual increase in difficulty. I have used this with high ability year 7 and 8 classes, plus high and middle ability year 9, 10 and 11 classes. Transforming function graphs (translations and reflections of non-trigonometric graphs) is grade 7 on the new GCSE 9-1 scale. As an unprotected Word document you can edit it as required.
lunchbox1
10 Junior Maths (Secondary) Worksheets (Number and Algebra)

10 Junior Maths (Secondary) Worksheets (Number and Algebra)

A combination of 10 worksheets covering basic properties of numbers and algebra for junior secondary maths students. The topics covered by these worksheets are: Rates and Ratios Percentages The Arithmetic of Rational Numbers The Distributive Law Power Laws Irrational Numbers Plotting Linear Equations Solving a System of Two Linear Equations Factorisation Solving Quadratic Equations by Completing the Square These topics follow the ‘Number and Algebra’ content for the Australian Year 8 Mathematics Curriculum but may be suitable for other courses at a similar level.
dpietrobon
Calculus: Optimisation

Calculus: Optimisation

The presentation begins with a review of quadratics and presents students with an optimisation question which they are expected to solve using quadratics. The concept of optimisation is then explored in more detail by asking students to find the maximum volume that can be made from a 12cm x 12cm square (in the context of for instance minimising production costs). This site provides a useful platform through which to launch into a discussion about finding the maximum volume. There are then a selection of questions which I printed out and placed around the room for students to tackle, in pairs. For the plenary, the students are presented with a similar (but note not identical) problem to the one at the start of the lesson and are asked to solve using calculus before checking their answer using quadratics. Please Review
ptarmigan
Quadratic Graphs

Quadratic Graphs

6 equations for quadratic graphs. Each question involves the following: generating coordinates plotting the graph finding the coordinates of the turning point, finding the coordinates of the y intercept finding the equation of the line of symmetry finding the solution to f(x) = 0 It is scaffolded at the beginning, the final graph is a negative quadratic.
YasmineJade
Solving Equations Graphically (DESMOS)

Solving Equations Graphically (DESMOS)

A worksheet that utilises the desmos graphing software in order to save time when solving equations graphically. The first section gets the students used to plotting graphs on desmos before getting them to solve equations using it.
nkay93
Quadratic Equations

Quadratic Equations

A set of eleven lessons covering quadratic equations: Solving quadratic equations using graphs Factorisation (revision) Solving quadratic equations algebraically Solving quadratic equations using factorisation Parabolas Problem Solving Intersection of a line and a parabola Quadratic Formula (8a and 8b problem solving involving the quadratic formula) Discriminant The lessons can be used for whole class work, revision, help for parents or opportunities for pupils to catch up with missed work.
dmartin55
Quadratic Equations

Quadratic Equations

One of a set of eleven lessons covering quadratic equations. The file can be used on its own to introduce and provide practice examples or used to provide revision, help for parents or opportunities for pupils to catch up with missed work.
dmartin55
Solving Quadratics

Solving Quadratics

Lessons on: Factorising quadratics Factorising to solve quadratics Factorising and solving quadrtaics with higher coefficients of x squared Using the quadratic formula Completing the square Deciding which method to use to solve a quadratic.
mizz_happy
Algebra bundle! (Y=Mx+c, expanding and factorising, indices, inequalities, algebraic graphs, simultaneous equations, solving equations)

Algebra bundle! (Y=Mx+c, expanding and factorising, indices, inequalities, algebraic graphs, simultaneous equations, solving equations)

All my algebra resources in one handy place! £15 when sold separately, but only £12 when bought as a bundle! Please feel free to browse the individual resources in my shop for more info on each. The bundle includes ready to go lessons, with: Starters, Animated examples and Differentiated questions with answers! Bundle includes lessons on: Naming and drawing lines in the form of y=mx+c, Expanding single brackets, Factorising single brackets, Expanding double brackets, Factorising quadratic equations, Index notation and index laws, Fractional and negative indices, Introduction to inequalities, Solving inequalities, Inequalities on graphs, Quadratic graphs, Cubic and reciprocal graphs, Exponential graphs, Solving simultaneous equations with graphs, Solving simultaneous equations, Solving quadratic equation by factorisation, Introduction to completing the square, Introduction to solving equations using the quadratic formula, Solving equations, Unknowns on both sides, Solving equations with brackets, Expand and simplify to solve equations, Solving equations with fractions, Set up and solving equations. Term to term sequences, Nth term, Quadratic sequences. All these lessons will keep you going for weeks! I really hope this bundle helps your planning and work/life balance. Thanks =]
stephigittins
Algebra for Everyone KS3 4 mathematics

Algebra for Everyone KS3 4 mathematics

Algebra for Everyone Algebra for Everyone is a 67 page booklet (including answers), written in clear, easy to understand English and makes no assumptions about your prior mathematical knowledge (apart from being able to +, -, x, ÷). We begin with very basic (but key) algebraic skills which are practiced and extended through supportive questions. As you work through the book, the material gently introduces more thought-provoking ideas. As the title suggests, this book has been written for lots of people: • Year 6 pupils who have a good understanding of number will find the early chapters useful – particularly with the onset of secondary school. • Key Stage 3 pupils at secondary school who meet significantly more algebra. • GCSE pupils who want to achieve at least grade 4 • Parents who wish to support their children who may feel less confident with algebra.
maths_starters
Graphing Lines - Self Directed Lessons - Hyperdoc Style

Graphing Lines - Self Directed Lessons - Hyperdoc Style

This is a sequence of learning to help students gain an understanding of graphing lines in gradient-intercept form. It has been developed using the model of “Hyperdocs”. More info can be found at: https://hyperdocs.co/ To set this up with students in my classroom, I share the document with them, and I let them work through the first 2 phases independantly without any explanation from me. Then I meet with them to check their understanding during phase 3. If I am happy with their progress they can move on. Once they have made a nice drawing on Desmos, I have them take a practice test, which is supplied as a PDF, with answers. If students move through it quickly, encourage them to be more creative with their designs on Desmos. If they move slowly, have them make a more simple drawing. Please note: Students need access to a computer or iPad or even a phone. This could be done in pairs or small groups. This could be teacher directed instead. You need to create a class code for the marbleslides activity on Desmos. The final hyperlink takes students to an online revision site called Buzzmath, and students would need to make a free account. It can easily be replaced with a mymaths.co.uk link instead, or anything else you prefer. I would estimate this to take anywhere from 3 to 6 one-hour classes. It is currently aimed at year 9 students. All feedback is welcome and encouraged. I’ve shared it for free and I hope as a result you will review and suggest improvements. Enjoy!
tomcosgrove
Intro to Geogebra - drawing graphs

Intro to Geogebra - drawing graphs

This worksheet is for a year 8 class to work through on the computer - using Geogebra for the first time. Only basic functions of Geogebra are used (plotting equation, adding sliders, finding intersections) while they explore the shapes of graphs.
thefootballwitch
Quadratics Revision

Quadratics Revision

This Quadratics revision bundle contains: Sketching a quadratic function given its general equation, factorised form or completed square form. Drill questions. Crosswords. A list of unitary factors.
mathsmutt
Algebra: Integration BUNDLE (5 Lessons) + Resources

Algebra: Integration BUNDLE (5 Lessons) + Resources

This is a superb 5 lessons to teach all the different aspects of AS Level Integration. The 5 lessons are as follows: Integration 1 - An Introduction Integration 2 - Finding an Area Integration 3 - Area Problems Integration 4 - Areas bound by the y-axis Integration 5 - Trapezium Rule For further details for each individual lesson then do view each lesson individually. However, all lessons come with starters, differentiated learning objectives, key words, excellent teaching slides and examples, worksheets and exam questions with answers and plenaries. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you!
ajf43
Completing the square with solving

Completing the square with solving

I used this lesson with a top set year 10 class. It could be used with a KS4 class or possibly even year 9. You could use this as a stand alone lesson on completing the square or like I have to find the turning point, as part of a series of lessons on quadratic graphs. I have included step by step examples and answers for all questions. I hope you find it useful.
Miss_S_Logan
Mathematics Revision Mats

Mathematics Revision Mats

Please use these mats as a revision games to play in groups in the classroom. They should be printed on A3 paper and laminated so that it can be re-used. This means that students can write their initials on their square instead of using counters. The way the game is played can be manipulated. However, the main instructions are as follows (also included on sheet): Roll Two Die to Create a Co-ordinate. Place your coloured counter on the square that the roll corresponds to. If answer is correct, receive points as follows: Points: Red squares are worth 1, Yellow squares score 2 points, and Green squares score 5 points Grades: Red squares are 4/5 Grade, Yellow squares and 6/7 Grade and Green Squares and 8/9 Grade answers Please use a great revision resource for group work. Please also leave any feedback for future revision mats and how to improve them.
14bensona
Maths Revision Mat: Algebra

Maths Revision Mat: Algebra

Please use this mat as a revision game to play in groups in the classroom. This should be printed on A3 paper and laminated so that it can be re-used. This means that students can write their initials on their square instead of using counters. The way the game is played can be manipulated. However, the main instructions are as follows (also included on sheet): Roll Two Die to Create a Co-ordinate. Place your coloured counter on the square that the roll corresponds to. If answer is correct, receive points as follows: Points: Red squares are worth 1, Yellow squares score 2 points, and Green squares score 5 points Grades: Red squares are 4/5 Grade, Yellow squares and 6/7 Grade and Green Squares and 8/9 Grade answers Please use a great revision resource for group work. Please also leave any feedback for future revision mats and how to improve them.
14bensona
Straight line and curved graphs exercises. With Answer Key.

Straight line and curved graphs exercises. With Answer Key.

This worksheet contains 10 exercises to practise straight line graphs and curved graphs. It is a complete revision where students will have to: Complete tables. Draw graphs. Use their graphs to find information. Draw and use conversion graphs. Given a graph, calculate the gradient, the y-intercept, the equation of the line… Given an equation find the equation of the line parallel or perpendicular to it that passes through a given point. Use their graphs to solve equations. Solve simultaneous equations by drawing the graphs. Identify which equation represents each graph. It also includes all the answers to the exercises. I hope you find it useful! Please rate so I can improve as I go on!
sara-turner-montessori
Quadratics Overview with Answers

Quadratics Overview with Answers

Grid giving students different representations of a quadratic equation. Students must then find the missing information. Sheet includes: expanding quadratics factorising quadratics solving using quadratic formula finding x and y intercepts completing the square finding turning points sketching quadratic graphs
swild91
Algebra: Integration 3 - Area Problems (+ worksheet)

Algebra: Integration 3 - Area Problems (+ worksheet)

This is the third lesson that I teach on integration and follows on from the second lesson beginning to look at using integration to solve area questions. This lesson looks at area problems and more complex examples that are the type of questions that get asked in exams. 17 slides + a great practise worksheet with answers. The lesson includes: Starter - a quick question on integrating with bounds to focus students on integrating skills again Learning Objectives - differentiated by outcome Key Notation - explanation and detail given as this is often an area of confusion Teaching slides showing the process and some of the problems that come with area problems. How to find the bounds and issues when questions do not involve an area bound by the x-axis. It comes with several excellent examples and teaching slides. AFL questions and activities for students to check understanding An excellent worksheet with ANSWERS. Plenary - a quick review and feedback on learning during the lesson before going further into more areas of integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!
ajf43
Algebra: Integration 2 - Finding an Area (+ worksheet)

Algebra: Integration 2 - Finding an Area (+ worksheet)

This is the second lesson that I teach on integration and follows on from the introductory lesson. It does practise basic integration, but now puts it into the context of finding the originial equation and mainly finding an area under a curve. 25 slides + a great practise worksheet with answers. The lesson includes: Starter - a quick question on area to get students occupied as they come in and thinking Learning Objectives - differentiated by outcome Key Notation - explanation and detail given as this is often an area of confusion Teaching slides showing the process of integrating and substituting to find an original equation and some superb graphics and slides to teach about the area under the curve. It comes with lots of examples. AFL questions and activities for students to check understanding An excellent worksheet with ANSWERS. Added a fair simpler worksheet for the less able or to set for homework as practise of the basics. Also a handout to remind pupils of some of the index rules they might encounter Plenary - a quick review and feedback on learning during the lesson before going further into more complex area problems involving integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!
ajf43
Completing the Square Lesson

Completing the Square Lesson

Lesson on Completing the Square - taught to Year 9 set 2. Suitable for KS3/4. Thoroughly differentiated resource catering to all abilities! Starter: Solving quadratics by factorisation and the formula Intro: Examples including an exam question Differentiated Task -R/A/G Solutions Minimum Points Whole Class activity (MWB’s) Examples and method when the leading co-efficient is not 1 Differentiated Task -R/A/G Solutions SMART Notebook files but can be converted to ActivInspire etc. Used in my PGCE year, fantastic resource! No worksheets needed. if I have missed anything off please let me know :) Sorry if any resources used without permission, I gathered bits along the way. xx
absholmesx
Solving Quadratic Equations - Factorising, Formula and Completing the Square

Solving Quadratic Equations - Factorising, Formula and Completing the Square

Complete package of lessons for Solving Quadratic Equations! Taught to Year 9 Set 2. Suitable for KS3/4. Thoroughly differentiated resource catering to all abilities! Lesson 1. Factorising Quadratics (can be used for solving) Lesson 2. Solving using the quadratic formula (including representing on a graph) Lesson 3. Solving using completing the square (including minimum points and when the leading co-efficient is not 1) Starters, examples, plenty of differentiation throughout, stretch & challenge including problem solving and reasoning, plenaries (such as spot the mistake) and AFL using R/A/G questioning. SMART Notebook files but can be converted to ActivInspire etc. Used in my PGCE year, fantastic resources all at Outstanding or Good level! Worksheets included, if I have missed anything off please let me know :) Sorry if any resources are used, I have just gathered bits along the way to add to my work.
absholmesx
Algebra Bundle

Algebra Bundle

Activ Inspire presentations on all things algebra from solving equations to straight line graphs, iterations and more!! Check it out FREE presentations also available in my shop If you like the slides please check out all of my other slides which are ALL in the same format. Saving you an incredible amount of time and energy! I’ve done all the hard work so that you don’t have to.
bigdoubleyer