#### 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.

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Tes secondary mathematics resources for algebra gives you a huge range of teaching ideas and activities, including:

- Algebra worksheets

- Algebra lesson plans

- Number manipulation activities

Plus much, much more! Tes secondary maths resources will help give you fresh ideas for your algebra lessons for Years 7 to 9, GCSE and beyond. Whatever you need, you're sure to find it amongst the thousands of free and premium resources available for you to download and use.

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.

Grade 9 hard question
2 papers: Calculator and Non calculator (around 20 questions each)
Including video answers

IGCSE-CIE-Mathematics

IGCSE-GCSE-Extra Revision June 2018

A great bundle.
Please check my shop for individual details.

Revision GCSE questions that prepares students for the 2018 exam.

[Needs ActivInspire software, does not work in powerpoint]
This interactive quiz is full of all sorts of Mathematical puzzles and problems to solve, including algebra, number, geometry, ratio and estimation.
They start easy and get more challenging, use the simplify buttons if you need to make the questions more accessible.
Print and copy the embedded quiz sheet and put your class into teams. All answers are included at the end of the quiz. There are 12 questions and a Tie Breaker. There are some excellent bonus games on the last slides.

Three worksheets on rearranging formulae to change the subject. Detailed solutions are provided. Good for GCSE/IGCSE students.

A worksheet on rearranging a formula to change the subject. Detailed solutions are included. Good for GCSE/IGCSE students.

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.

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.

Algebra Substitution Bundle
All answers are included.
If bought independently, these 3 resources would cost £8.00, but I am offering them in this bundle for £6.50, a saving of 19%.
To view items individually, please go to Maths Shop

Three worksheets on on expanding and simplifying algebraic expressions by multiplying out brackets and collecting like terms. Good for GCSE/IGCSE students. Detailed solutions are provided.

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 Algebra Lessons:

With factorising and removing brackets of cubics being new to the GCSE specifications last year I have introduced these two lesson to my class teaching.
Starting with removal of brackets students are able to extend from the two brackets situation to the three brackets.
The following lesson looks at the more complicated factorising a cubic. Initially starting with the first factor given style of question before looking at factorising with no hint given.
Worksheets are given for both lessons which could be used in class or as a piece of homework.

A worksheet on expanding and simplifying algebraic expressions by multiplying out brackets and collecting like terms including harder questions on this topic. Good for GCSE/IGCSE students. Detailed solutions are provided.

In this lesson, students apply their understanding of direct and inverse variation to making music with guitar strings. Students learn the equation governing the relationship between a string’s frequency, wave speed and length, and then use a digital guitar simulation to calculate the wave speeds and string lengths needed to create common chords. After playing through a simple song as a class, students construct and tune cardboard ukuleles to make their learning tangible.
Topics addressed:
Direct and inverse variation
Basic physics of string vibrations and waves
Primary CT concept: abstraction. The frequency equation uses a simplified wave speed parameter to represent physical concepts like string thickness and tension, and students abstract the detailed math away when building their physical ukuleles.
Students will be able to:
Explain how length and wave speed affect the frequency of a vibrating string
Explain how guitar strings are able to play different notes
Create a simple cardboard ukulele with strings tuned to different notes
Materials:
PowerPoint presentation
Student handout
Digital guitar simulation
Cardboard boxes – shoeboxes will work, or you can order something like these from Home Depot
Extra large rubber bands in at least three different sizes
Wooden dowels
A guitar is optional, but will help students connect their learning to a real instrument
Suggested lesson breakdown:
This activity is more of a practice/review project than a teaching tool, and therefore works best towards the end of the unit. Students can work individually or in pairs. The timing suggestions below are estimated and are very flexible based on your students’ pace.
10min – introduction to string vibrations and the frequency formula
10min – quick practice and check for understanding
10min – calculating wave speeds in the digital guitar simulator
20min – calculating string lengths for chords in the digital guitar simulator
5min – class play-along to “Imagine” by John Lennon
15min – constructing and playing cardboard ukuleles

Adapted resource from @danwalker (https://www.tes.com/teaching-resource/algebra-cluedo-6339269)
Questions on Mixed topics in maths.

A STEM learning and teaching resource that explores a variety of magical maths activities, from multiplication tips to card tricks.
Activities include:
Mind reading - Did you know that maths can help you to ‘read minds’?
Card magic
Magic hands - Did you know you can use your fingers as a magic ‘short cut’ to multiplication?
Magic multiplications

A series of worksheets on Linear equations.
Bank A - Positive integer solutions
Bank B - Positive and negative integer solutions
Bank C - Positive and negative fractional solutions.
Worksheets are designed to allow students to develop their retention of the topic. Could be used as starters, main activity, homeworks or revision.

Exam questions on factorising, expanding, and solving quadratic equations (using both factorisation and the quadratic formula) - All made into in one handy easy to throw at students worksheet.

Worksheet for use with KS3/4 and high achieving KS2 mathematicians. Strong element of fluency throughout the questions. Can be used as a full series of problems or could be differentiated by each row.

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…

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…

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision most have answers for easy checking. (I promise this will save you a lot of time - as this took me hours!!)

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision most have answers for easy checking. (I promise this will save you a lot of time - as this took me hours!!)

Powerpoint and matching worksheet to show how we can estimate solutions to simultaneous equation problems using graphs.

Students are provided with structure to facilitate plotting straight line graphs of implicit equations.
The worksheet is split into two sections, progressing in difficulty, and each has an extension section. For very able students a further extension could be to find the points of intersection without having to plot the lines, although it is generally beneficial for their understanding to have a visual representation available as well. Answers are provided, including the plotted straight lines.
The focus of this lesson could be any of the following:
– Plotting straight line graphs;
– Rearranging equations;
– Simultaneous equations;
– Intersection of straight lines;
– What it means to ‘satisfy’ an equation;
– Implicit vs explicit equations.
As you can see, many concepts are touched upon here, and you will need to decide which angle you are approaching this activity from to ensure that the lesson is coherent.
Also included is a basic starter to give practise rearranging to change the subject of an equation.

A well designed presentation to make clear how to solve quadratic equations. There are different type of examples that use different type of solutions such as:
1. Factorizing method,
2. Common factor,
3. Quadratic formula.
Also this resource includes a worksheet with** 50 questions and all with solutions **that will make sure the students understood how to solve the quadratic equations.
Please feel free to make a command on this resource.

Mixed Calculator Questions GCSE Higher
This pack includes two 10 question diagnostic tests covering 20 different topics for the calculator paper.
The tests are aimed at GCSE 9-1 Higher Level pupils but may also be useful for Year 10.
Full answer keys are included for both tests and can be used for pupils to self-mark.
A checklist is included for pupils to see where they need to focus their revision.
Encourage pupils to fill in the checklist and complete further questions on the topics they need to work on.
The topics included are:
Iteration
Sine Rule
Quadratic Formula
3D Pythagoras
Trigonometry in Right-Angled Triangles
Spheres
Area of Segment
Volume of Cylinder (Hard)
Polygon Angles & Trigonometry
Upper & Lower Bounds with Speed
Reverse Mean of a Grouped Frequency Table
Proportion (Hard)
Density with Ratio
Volume of Pyramid
Reverse Percentage (Hard)
Exchange Rates & Unit Conversions
Cosine Rule
Simultaneous Equations with an Exponential Graph
Inverse Functions
Volume with Rates of Change
The tests should be done with a calculator.
The document is 9 pages in total.
This resource can be printed in black and white or colour.
For my other resources, please go to Maths Shop
Keywords: review, mixed questions, diagnostic test, worksheet, calculator, senior high, junior high, middle school, homework, key stage 3, KS3, secondary, new GCSE 9-1, level 6, level 7, level 8, level 9, higher, UK, mathematics, maths revision, math review.

Explanation plus 4 scaffolded questions for how to find the nth term of a quadratic sequence. Answers on separate PDF.

Expand and simplify by collecting like terms.
They should match the expression to find a letter and crack the code. Used as a starter in a revision class. For weaker groups this activity could take all lesson

Two Power Point presentations, a number line worksheet and a set of GCSE exam questions for solving inequalities, representing on a numberline and greatest/smallest integer possible. Enjoy!

Complete set of GCSE 9-1 Foundation resources covering almost all topics -.
Lots for pupils to revision from and lots of Practice with questions specific to the new specification.

SALE

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision most have answers for easy checking. (I promise this will save you a lot of time - as this took me hours!!)
I have tried them out with a low ability group and they love them as they really feel like they are getting used to the papers without having to do the same paper over and over again.
Great for last minute revision and masterclasses .
Topics I have included:
Proportion,
Types of number,
Calculator Skills,
Ordering Fractions,
Mean from a table
Pie Charts,
Graphs,
Angles ,
transformations,
Construction and Loci,
Standard Form
Area and Perimeter,
Probability,
Tree Diagrams,
Estimation,
Wordy Problems,
Trig and Pythag,
and a general revision sheets labelled the final countdown aimed at the first NON CALC exam.
Please leave feedback :)

SALE

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision most have answers for easy checking. (I promise this will save you a lot of time - as this took me hours!!)

SALE

SALE

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision (I promise this will save you a lot of time - as this took me hours!!)

SALE

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision all have answers for easy checking. (I promise this will save you a lot of time - as this took me hours!!)
I have tried them out with a low ability group and they love them as they really feel like they are getting used to the papers without having to do the same paper over and over again.
Great for last minute revision and masterclasses .
Topics I have included:
Proportion,
Types of number,
Calculator Skills,
Ordering Fractions,
Mean from a table
Pie Charts,
Charts,
Graphs,
Angles ,
transformations,
Construction and Loci,
Standard Form
Area and Perimeter,
Probability,
Tree Diagrams,
Estimation,
Wordy Problems,
Trig and Pythag,
Forming and Solving,
Time ,
and a general revision sheets labelled the final countdown aimed at the first NON CALC exam.
Please leave feedback :)

This resources helps pupils revise forming an equation of a line from its graph.
The pupils then match the question number to the answer which gives them a letter to decode the longest Mathematical word. FLOCCINAUCINIHILIPILIFICATION

Compiled from various sources this mixed algebra revision sheet is a useful tool for challenging all areas of higher level GCSE students’ ability. Includes answers. Contains worded problems, simultaneous, changing the subject, equations of lines, quadratic, sequences and more. Hope you find this as useful as I have! Please contact me if you find any errors.

This is intended for GCSE or A-level. This is by far the easiest way to factorise quadratics that I have seen. This is a quick presentation showing three examples and ten questions.