Maths for 2330 2008.pdf

  • View
    222

  • Download
    0

Embed Size (px)

Transcript

  • 7/27/2019 Maths for 2330 2008.pdf

    1/125

  • 7/27/2019 Maths for 2330 2008.pdf

    2/125

    This page is intentionally left blank

  • 7/27/2019 Maths for 2330 2008.pdf

    3/125

    Maths for electrotechnology

    Copyright B&B Training Associates Ltd Page No.3

    No part of this publication may be reproduced, stored in a retrieval system or

    transmitted, in any form or by any means, without written prior permission

    from B&B Training Associates Ltd.

    PPPrrroooddduuuccceeeddd bbbyyy

    BBB

    &&&

    BBB

    TTT

    rrr

    aaa

    iiinnn

    iiinnn

    ggg

    AAA

    sss

    sss

    ooo

    ccc

    iiiaaa

    ttt

    eeesss LLLtttddd

    For further information contact:

    Mrs A Bratley

    23 St Pauls Drive,

    Tickton, Nr Beverley,

    East Yorkshire

    HU17 9RN

    Tel:-01964 543137

    Fax:-01964 544109

    Email:- sales@bbta.co.uk

    timbenstead@bbta.co.uk

    terry@bbta.co.uk

    Version 1-2008

    mailto:sales@bbta.co.ukmailto:sales@bbta.co.ukmailto:timbenstead@bbta.co.ukmailto:timbenstead@bbta.co.ukmailto:terry@bbta.co.ukmailto:terry@bbta.co.ukmailto:terry@bbta.co.ukmailto:timbenstead@bbta.co.ukmailto:sales@bbta.co.uk
  • 7/27/2019 Maths for 2330 2008.pdf

    4/125

    Maths for electrotechnology

    Copyright B&B Training Associates Ltd Page No.4

    Disclaimer

    The documents and presentations that make up this learning package do not constitute either

    fully or partially the full and final information on all aspects of the City and Guilds 2330

    Certificate of Electrotechnical Technology. They do not show full representation of Health and

    Safety aspects or full knowledge of any job descriptions.

    Every effort has been made to ensure accuracy and up-to date information but no responsibility

    can be accepted for any errors, misleading information or omissions.

  • 7/27/2019 Maths for 2330 2008.pdf

    5/125

    Maths for electrotechnology

    Copyright B&B Training Associates Ltd Page No.5

    Table of contents

    Table of contents ........................ ......................... ........................ ........................ ......................... ......... ................. 5Table of figures ....................... ....................... ....................... ....................... ...................... ................. ..................... 6Aims and objectives ............................................................................................................................................... 7Multiples and standard form .............................................................................................................................. 8Mathematics .......................................................................................................................................................... 14Basic operations ................................................................................................................................................... 14Fractions .................................................................................................................................................................. 19Adding ..................................................................................................................................................................... 19Subtraction ............................................................................................................................................................. 22Improper fractions ............................................................................................................................................... 24Multiplication ........................................................................................................................................................ 26Division .................................................................................................................................................................... 27Decimals, ratios and percentages .................................................................................................................. 30Decimals .................................................................................................................................................................. 30Ratio and proportion .......................................................................................................................................... 34Percentages ........................................................................................................................................................... 41Algebra .................................................................................................................................................................... 51

    Transposing formulae .................... ..................... .................... .................... .................... ..................... .............. 54Indices ...................................................................................................................................................................... 61

    Trigonometry ...................... ....................... ...................... ....................... ....................... ................. ...................... . 65Areas and volumes .............................................................................................................................................. 70Areas ......................................................................................................................................................................... 70Rectangle ................................................................................................................................................................ 71Circle ......................................................................................................................................................................... 75

    Triangles ..................... ........................ ........................ ....................... ........................ ............. ..................... ............ 77Volume ..................................................................................................................................................................... 84Cubes ........................................................................................................................................................................ 84Cylinders .................................................................................................................................................................. 85

    Triangles ...................... ....................... ........................ ....................... ........................ ............. ...................... ........... 87Statistics .................................................................................................................................................................. 91

    Tally diagrams .................. ................... ................... ................... .................... ................... ..................................... 92Mode......................................................................................................................................................................... 94Mean ......................................................................................................................................................................... 96Median ..................................................................................................................................................................... 99

  • 7/27/2019 Maths for 2330 2008.pdf

    6/125

    Maths for electrotechnology

    Copyright B&B Training Associates Ltd Page No.6

    Charts and diagrams ......................................................................................................................................... 101Bar charts .............................................................................................................................................................. 102Pie chart ................................................................................................................................................................. 104Conclusion ............................................................................................................................................................ 106Appendix 1 ........................................................................................................................................................... 107

    Table of figures

    Figure 1 Engineering standard form .......................... ........................... .......................... .......................... ....... 9Figure 2 Right-angled triangle ........................................................................................................................ 65Figure 3 The square on the hypotenuse is equal to the sum of the squares on the other two sides

    ........................................................................................................................................................................... 66Figure 4 Relationship of angle to sides ........................................................................................................ 67Figure 2 Rectangle ...............................................................................................................................