#### Basic Maths Concepts for GCSE with ANSWERS

Great mix of practice questions on : Simple Algebra Calculating times Standard Form Changing the Subject of the Formula Ratios Percentage Increase Exchange rates Percentages Useful from Years 9-11. Can be give as homework

#### Year 5 WhiteRose Multiplication & Division - Small Steps (Week 3 out of 3) planning and resources

This is the a whole week (3 out of 3) worth of Year 5 multiplication and division and covers the small steps according to the WhiteRoseMaths 2.0 Inverse operations ( multiplication and division) Multiply by 10, 100 and 1000 Divide by 10, 100 and 1000 Multiply and divide by multiples of 10, 100 and 1000 The resources aim to help children gain a deeper understanding of the concepts covered in the topic. The resources (differentiated) include: - planning - worksheets - activities - fluency - reasoning - problem solving I hope you enjoy my lessons and don’t forget to leave a review please.

#### Year 5 WhiteRose Multiplication & Division - Small Steps (approx. 2 weeks (out of 3) of work)

This is the whole 2 weeks (out of 3) worth of Year 5 multiplication and division and covers the small steps according to the WhiteRoseMaths 2.0 Multiples Factors Common factors Prime numbers Square numbers Cube numbers The resources aim to help children gain a deeper understanding of the concepts covered in the topic. The resources (differentiated) include: PowerPoint lessons differentiated worksheets (3 ways) fluency reasoning problem solving I hope you enjoy my lessons and don’t forget to leave a review please.

#### Prime Factorization (Mini Module)

A Kaffenate Mini Module is a one page (front and back) sheet that covers a single topic. Each KMM has: –An instructional section: The instructional sections at the top of each page are either very thorough examples, step-by-step instructions, or both. –Practice problems: Problems start out easy and get progressively more difficult throughout the module. Each problem has enough space for the student to work it out right there. –Challenge or puzzle: The kids love the challenges or puzzles that are part of each module. These acts as both incentives and, sometimes, self-checking tools. –Answer Keys! Busy teachers don’t have time to make their own answer keys. I’ve done that for you. Kaffenate Mini Modules can be used in SO MANY WAYS! –Topic Introduction –Daily Warm Up –Homework –Pop Quiz –Substitute Plans –Extension Work –Catch-up Work –Topic Review –OR whatever else YOU can think of! (In fact, tell me how you use them!)

#### Exponent Notation (Mini Module)

A Kaffenate Mini Module is a one page (front and back) sheet that covers a single topic. Each KMM has: –An instructional section: The instructional sections at the top of each page are either very thorough examples, step-by-step instructions, or both. –Practice problems: Problems start out easy and get progressively more difficult throughout the module. Each problem has enough space for the student to work it out right there. –Challenge or puzzle: The kids love the challenges or puzzles that are part of each module. These acts as both incentives and, sometimes, self-checking tools. –Answer Keys! Busy teachers don’t have time to make their own answer keys. I’ve done that for you. Kaffenate Mini Modules can be used in SO MANY WAYS! –Topic Introduction –Daily Warm Up –Homework –Pop Quiz –Substitute Plans –Extension Work –Catch-up Work –Topic Review –OR whatever else YOU can think of! (In fact, tell me how you use them!)

#### Working With Algebra

Having been asked to help some students (Years 9 and 10) who lacked confidence in class I decided to write these four sheets that we will go through together; the questions are designed to get increasingly difficult and to encourage questions and discussion. There are also various answers for some of the questions, another chance for a mathematical discussion. Topics covered include simplifying expressions, indices, expanding brackets (and therefore factorising) and basic algebraic fractions. The questions are varied in the hope of not allowing students to get into a rut and answer without thinking carefully. I have also introduced the word and symbol “identity”. I hope it is useful.

#### Decimal numbers worksheets (with solutions)

Four worksheets on the following: multiplying decimal numbers by positive and negative powers of 10, converting ordinary numbers to standard-form numbers and vice versa, rounding numbers to one or two decimal places and one or two significant figures, multiplying numbers by 25 and 15 and dividing numbers by 25, 20 and 16 mentally. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Standard form worksheet no 3 (with solutions)

A worksheet on converting ordinary numbers to standard-form numbers and vice versa. Solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Powers of 10 worksheet (with solutions)

A worksheet on multiplying decimal numbers by positive and negative powers of 10. Solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### 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!

#### Year 7 Maths Bundle

This pack contains all year 7 programme of study directly mapped to the British National Curriculum and is designed for learners in year 7, key stage 3 (US 6th grade) Lesson can be used as whole class teaching by teachers and at home by learners. Lots of drag and drop activity with instant feedback. To access online choose the multiscreen.html file. To access offline choose the swf file. Contains 16 lessons

#### Squares, Roots and Cubes Complete Lesson

Suitable for KS3 or KS4. This lesson features a starter, main, and plenary all fully differentiated. There are plenty of differentiated questions featured in the lesson for pupils to work through. All answers are included so that pupils can peer or self check their work. The lesson comes complete with a fully differentiated worksheet which can be used as classwork or homework.

#### Order of Operations

20 Multiple Choice Tests All Answers Given

#### Square and Cube Numbers Quiz

PowerPoint designed to be used with Quizdom remotes, but would work as just PowerPoint quiz. Used with KS3/4 students, depending on their ability. Could be used as plenary or revision.

#### BIDMAS maze

A rich task which requires students to work their way across the “maze” by finding calculations that are equal in value. Extension activity built in and answers provided. Students love this task and complete large numbers of questions in a short space of time.

#### Order of operations worksheet no 4 (with solutions)

A worksheet on order of operations. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Multiplication BINGO ( Factors 3, 6, 9, 12 )

⭐ Engage your students whilst learning their MULTIPLICATION FACTS 3, 6, 9, 12, with this great game. Print these cards on card and laminate for durability. With heaps of game cards, Multiplication Bingo can be played as an ENTIRE CLASS; or used as a SMALL GROUP MATH GAME during Guided Math. The Bingo calling cards can also be used as basic flashcards for your students. INCLUDED YOU WILL FIND: ~ a directions sheet for students (I usually laminate it to a large envelope and keep the game inside.) ~ 16 BINGO boards in EACH of the following: Arrays Numbers Equations ~ 72 calling cards in EACH of the following: Standard Form (product) Repeated Addition Array

#### Multiplication BINGO ( All factors 0 - 12 )

⭐Engage your students whilst learning their MULTIPLICATION FACTS - ALL FACTORS - 0 - 12, with this great game. Print these cards on card and laminate for durability. With heaps of game cards, Multiplication Bingo can be played as an ENTIRE CLASS; or used as a SMALL GROUP MATH GAME during Guided Math. The Bingo calling cards can also be used as basic flashcards for your students. INCLUDED YOU WILL FIND: ~ a directions sheet for students (I usually laminate it to a large envelope and keep the game inside.) ~ 31 BINGO boards in EACH of the following: Arrays Numbers Equations ~ 144 calling cards in EACH of the following: Standard Form (product) Repeated Addition Array

#### Order of operations worksheets (with solutions)

Three worksheets on order of operations. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Order of operations worksheet no 3 (with solutions)

A worksheet on order of operations. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Multiplying by powers of 10 worksheets (with solutions)

Three worksheets on multiplying decimal numbers by positive and negative powers of 10. Solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Multiplying by positive and negative powers of 10 worksheet no 2 (with solutions)

A worksheet on multiplying decimal numbers by positive and negative powers of 10. Solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Lesson to teach calculating in standard form

Full lesson on Promethean software, for teaching calculating in standard form, including: all four operations, add, subtract, multiply and divide -differentiated learning objectives -key words -slides containing examples for use when teaching the content differentiated questioning

#### Lesson to teach multiplying and dividing with powers of 10

Full lesson on Promethean software, for teaching multiplying and dividing with powers of 10, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content differentiated questioning

#### Lesson to introduce writing numbers in standard form

Full lesson on Promethean software, for teaching an introduction to writing numbers in standard form, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content differentiated questioning

#### Lesson to teach the laws of indices

Full lesson on Promethean software, for teaching the laws of indices, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content differentiated questioning

#### Lesson to teach fractional and negative powers

Full lesson on Promethean software, for teaching fractional and negative powers, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content differentiated questioning

#### Lesson to teach square numbers, roots and higher powers

Full lesson on Promethean software, for teaching powers and roots, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content differentiated questioning

#### Negative Exponents Game: Escape Room Math Activity

This breakout escape room is a fun way for students to test their skills with negative exponent rules. Contents: ♦ Teacher Instructions and FAQ ♦ 3 Levels to decode: Maze Decoder, Tarsia Puzzle, and Message Decoder ♦ Student Recording Sheet and Teacher Answer Key ♦ Link to an optional, but recommended, digital breakout room

#### Square Numbers Bunting (Maths Display)

Printing these out back to back will make the bunting overlap correctly. They can then be cut out and hung around the classroom.

#### Converting standard form to ordinary numbers fun maze activity

**3 mazes - Converting standard form to ordinary numbers ** This is a great, engaging activity for end of lesson consolidation, early finishers, homework or a starter . Especially if you want students to practise and consolidate without using a traditional worksheet. This activity is great because students can check their own answers as they go through and most of the time they don’t realise they are answering multiple questions. This product includes 3 unique mazes with full solutions. Students work their way through the maze, coloring the correct answers and following the path to the next question.

#### Powers and Indices

GCSE- A handout related to Roots and Indices which includes explanations and work examples.

#### GCSE Sciences - Maths for Science Knowledge Organiser

This knowledge organiser is a great revision aid for all those maths skills that students need for the new GCSE Biology, Chemistry, Physics or Combined Science. It covers standard form, conversions, definitions of keywords such as uncertainty and precision, graphs and operator precedence. Use it for students as a mat to aid in calculations or as a summary of knowledge to be learned.

#### Axes / Chart Generator (Plus all Worksheets)

Axes Generator plus Multiple worksheets

#### Roots and Powers Battleships

Fun Roots and Powers worksheet

#### Mathematics - 9-1 - GCSE - Unit 02 - Algebra (Indices, Factorising, Equations, Sequences, Formulae)

Mathematics 9-1 questions for Year 09 and 10 GCSE - Unit 02 covers: Algebraic indices Expanding and Factorising Equations Formulae Linear sequences Non-linear sequences More expanding and Factorising Problem-solving Checkup Strengthen Extend Knowledge check Unit Test

#### Index Notation

These lessons and worksheets look at the rules required at GCSE for index notation. The lessons cover both the algebraic situations seen at GCSE and numerical problems. The worksheets have solutions attached.

#### Huge multiplication and division pack all techniques included. Answers included

Multiplication and Division Pack 40+ pages plus answers. Really good value resoources covers loads. Contents Grid Multiplcation 1. Grid multiplication with missing numbers. Long Multiplcation. Traditional style Long Division. Long Multiplication and Division Problems. Putting the skills pupils have learnt into context with worded questions. Egyptian Multiplication/Russian Multiplication. Ways other countries attempt long multiplication. Chinese Multiplication. Spiralling Sums. Long multiplications. Answers are written in words in a spiral grid. Shaded squares then read out mystery countries. The Number 6/7 Multiple Maze. Work out the sum, see if it is a multiple of the given number and try to find your way through the maze. The complexity of the two tasks combined gives it the level 5 rating ! The Number 8/9 Multiple Maze. Multiplication and Division Cross Numbers. Prime Numbers Finding Prime Factors and leaving in index notation. Finding Highest Common Factors. An exercise using common factors to find dimensions of a cuboid. Finally finding Lowest Common Multiples. Factors and Multiples Game. There is a similar game using only the numbers 1- 25, but it doesn’t have a solution. This puzzle has been changed so pupil’s don’t feel cheated and can find a solution! Investigations using Indices. Prime Pirate Maze. A very simple way of reinforcing the prime numbers and the “look” of a prime number. With less able groups write on the bottom of the sheet all the prime numbers from 1 to 100 as a reminder. The strategy for solving the maze is interesting to watch. Some pupils start from different points trying to find routes. Some simply colour in the prime numbers at random until the routes appear! A Prime Maze. Prime and Square Numbers. A snakes and ladders game used to reinforce prime numbers and square numbers. It makes it a lot more interesting if pupils have to land exactly on the win square to finish. Multiplying by Powers of 10. Dividing by Powers of 10. Zap to Zero. Place Value. A game using the skills of place value. Stamps Four different investigations using stamps as a central theme.Probability (Equally Likely Outcomes). Questions based around equally likely outcomes. Assigning Probabilities. The different ways of assigning probabilities are dealt with here. Pupils have to carry out surveys and experiments. There are SAT style questions choosing which method of assigning a probability is best. Finally, comparing Theory and Experimental probabilities. Experimental Probabilities. (Bonus pages). Pupils should be encouraged to find probabilities by experiment. Here we have questions based on experiments or surveys that have previously been carried out.

#### Indices (including fractional and negative) and Surds

Interview lesson on rules of indices, fractional and negative indices (through discovery). The worksheet is differentiated into four different levels, with 8 sections of challenge. Answers are provided.

#### Median Maths Centre selected worksheets

Various worksheets made by “Median maths centre” who no longer seem to exist. Some of these are great. Contents of each pdf listed below: Number: Missing Zero (place value) 2, 5, 10 (simple multiplication) Which times table? (multiplication) Which numbers? (multiply/add) Divisorgrams 1, Divisorgrams 3a (factors/multiples) Power Problems 1 (powers) Alg-Expressions (algebraic expressions): Building expressions 1 (“flow diagrams” is the topic name given, but it’s really more function machines) Fairly long worms (“flow diagrams” or function machines) Five two (“flow models” or function machines) Spider (substitution) Writing expressions (notation / symbols) Translation (notation / symbols) Linear eqns (linear equations): The Game Solve it (bar models) Equation steps Unjumbling Seq (sequences): Stick Patterns 3 Bracketneed (brackets) 4 in a line (coordinates) Probability: Different Red/yellow balls Area: Thirds 2 congruent halves