# 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.

### 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.

**Notes on Division of Fractions**

**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**

**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**

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**