## BTEC National Mathematics for TechniciansThis textbook contains everything students need for the core Mathematics units covered in any BTEC National Engineering course. It combines material from BTEC National NII and NIII Mathematics for Technicians to provide one complete volume for Level 3 Engineering. |

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### Contents

Units | 20 |

Basic Operations | 35 |

Solving Linear Equations | 55 |

Quadratic Equations | 75 |

Logarithms and Exponents | 97 |

vl | 109 |

Areas and Volumes | 127 |

### Common terms and phrases

acceleration algebraic amperes angle angular velocity answer arithmetic mean base brackets calculator circle circuit common constant convector heater correct cosine cross-section curve decimal diameter differentiation distance Divide both sides draw electrical engineering EXAMPLE Exercise Factorise factors Find the area find the gradient Find the value formula frequency distribution frustum given equation gives gradient graph height Hence histogram horizontal integration joule length Linear equations litres log6 logarithms loge machine mass mean measured median metres millimetre mode negative obtained partial fractions plot Pythagoras quadratic equation radians radius Rearrange rectangle resistance result right-angled triangle rough check scale seconds set of numbers shown in Fig SI base unit significant figures sine rule solution square root standard deviation straight line Subtract surface area Symbol tangent temperature Transpose trigonometrical units voltage volume waveform width zero