Complete Mathematics: A Teach Yourself Guide (Teach by Trevor Johnson, Hugh Neill

By Trevor Johnson, Hugh Neill

More than 60 million train your self items offered worldwide!
Brush up your talents and rediscover the main math techniques and techniques

Complete Mathematics offers a useful, step by step advent to the topic. Packed jam-packed with labored examples and worthwhile routines, it is going to consultant you thru the necessities quick and simply, providing you with the data you must achieve math self belief.


  • One, 5 and ten-minute introductions to key ideas to get you begun.
  • Lots of fast support with universal difficulties and fast counsel for fulfillment, in accordance with the author’s decades of expertise.
  • Tests to maintain music of one's development.
  • Worked examples, transparent factors and routines.

Topics comprise: quantity; Angles; Fractions; Two-dimensional shapes; Decimals; data; Directed numbers; Graphs; size; Perimeter and sector; Algebra; Approximation; Equations; probabilities; Formulae; Circles; likelihood; third-dimensional shapes; Ratio and percentage; Pythagoras' Theorem and trigonometry; Indices and conventional shape; Statistics

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Extra info for Complete Mathematics: A Teach Yourself Guide (Teach Yourself: Reference)

Example text

Find the bearing of A from B. 6 The bearing of D from C is 205°. Find the bearing of C from D. 26 THINGS TO REMEMBER ᭤ An angle is formed when two straight lines meet. ᭤ The vertex of an angle is the point where the lines meet. ᭤ A right angle is a quarter turn, which is 90°. ᭤ An acute angle is an angle which is less than 90°. ᭤ An obtuse angle is an angle which is between 90° and 180°. ᭤ A reflex angle is an angle which is greater than 180°. ᭤ A protractor is used to measure angles accurately.

7. Usually, a small letter, rather than a capital, is used. 8, the angle could be called angle B, but you should do this only if there is no risk of confusion. The symbols ∠ and ∧ are both used to represent ‘angle’, so angle B could be shortened to ∠B or B. It could be argued that there are two angles at B, one of them acute and one of them reflex, but you should assume that the acute angle is intended unless you are told otherwise. 8 could be called angle ABC (or angle CBA). You could shorten this to ∠ABC or ABC.

For example, 75 . ᭤ An improper fraction has a numerator which is greater than the denominator. For example, 75 . ᭤ To add or subtract fractions: Step 1 Write them as equivalent fractions with the same denominators. Step 2 Add or subtract the numerators, leaving the denominator as it is. ᭤ In mathematics, ‘of’ means multiply. ᭤ To multiply fractions you multiply the numerators and then you multiply the denominators. For example, 75 × 23 = 14 . 15 ᭤ The reciprocal of a number is the result of dividing that number into 1.

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