Downloads

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Please note that these documents are all copyright materials and may not be used for any other purpose.

Flashcards

To make these flashcards, either print them out double-sided or stick the two pages back-to-back. Then cut out the cards. Practice with them for short sessions as often as you can until you know them instantly. As soon as you see 8 +7, you immediately think 15! It has to be that good.

Addition Flashcards

Multiplication Flashcards

Practice Exercises

For each of the chapters listed below, you can download a practice questions sheet, an answer sheet listing all the answers, and a worked answer to each question.

Chapter 6 - Mixing Up the Four Rules - BODMAS
Questions  Answers
Worked Answers: Q2, Q3

Chapter 7 - The Four Rules 
Questions Answers
Worked Answers Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8, Q9, Q10, Q11, Q12,  
Q13
, Q14, Q15, Q16

Chapter 8 - Negative Numbers
Questions Answers
(No separate worked answer sheets for this chapter)

Chapter 10 - Rational Numbers
Questions Answers
Worked Answers Q1a, Q1b, Q1c, Q1d, Q1e, Q2a, Q2b, Q2c, Q2d, Q2e,
Q2f, Q2g, Q2h, Q2i, Q2j

Chapter 11 - Four Rules for Rational Numbers
Questions Answers
Worked Answers Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8, Q9, Q10, Q11, Q12,
Q13, Q14, Q15, Q16

Chapter 12 - Mixed Numbers
Questions Answers
Worked Answers Q1a, Q1b, Q2a, Q2b, Q3, Q4, Q5, Q6, Q7, Q8, Q9,
Q10, Q11, Q12, Q13, Q14, Q15, Q16, Q17, Q18

Chapter 13 - Decimals
Questions Answers
Worked Answers Q1a, Q1b, Q1c, Q1d, Q1e, Q1f, Q1g, Q1h, Q1i, Q1j,
Q2a, Q2b, Q2c, Q2d, Q2e, Q2f, Q2g, Q2h, Q2i, Q2j, Q3

Chapter 14 - Four Rules for Decimals
Questions Answers
Worked Answers Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8, Q9, Q10, Q11, Q12,
Q13, Q14, Q15, Q16

Chapter 15 - Accuracy and Estimation
Questions Answers
Worked Answers Q1, Q2, Q3, Q4, Q5, Q6

Notes

The following are summary notes on various Maths topics that I give to some of my private tutoring students after I have covered it with them. They are not intended for a first look, but they may be useful for anyone wanting to revise a topic or check that they have covered everything.

Number Work Plan

Notes on Fractions

Notes on Division of Fractions

Notes on Powers and Indices

Notes on Ratio and Proportion

Algebra Introductory Notes

Proof that Root 2 is Irrational

Additional Exercises

The following are on a variety of Maths topics taken from private tutoring up to GCSE. They are often beyond the scope of Numbers Explained but students working on their own may find them useful.

Integers:

Integer Properties: Questions Answers

Multiplication and Division: Questions Answers

Multiplication and Division Procedures: Questions Answers

Place Value and BODMAS: Questions Answers

Order of Operations: Questions Answers

Directed Numbers: Questions Answers

Practice with Number Bases - Base 3: Questions Answers

Fractions:

Equivalence of fractions and lowest terms: Questions Answers

Powers and Indices:

Indices Check Exercise: Questions Answers

Powers of Integers: Questions Answers

Indices and Standard Form: Questions Answers

Practice with Indices: Questions Answers

Surds: Questions Answers

Graphs:

Coordinates: Questions Answers

Linear Equations: Questions Answers

Drawing Graphs of Quadratic Equations: Questions Answers

Algebra

Basic Algebra Test: Questions Answers

Collecting Terms: Questions Answers

Formulae: Questions Answers

Simplifying and Solving Linear Equations: Questions Answers

Sketching Linear Equations: Questions Answers

Solution of Equations and Graph Sketching 1: Questions Answers

Solution of Equations and Graph Sketching 2: Questions Answers

Practice at Factorising 2nd Order Expressions: Questions Answers

Solving Quadratic Equations: Questions Answers

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