By Trevor Johnson, Hugh Neill

**More than 60 million educate your self items offered worldwide! Brush up your talents and rediscover the foremost math ideas and techniques**

*Complete Mathematics* offers a useful, step by step advent to the topic. Packed jam-packed with labored examples and priceless workouts, it is going to advisor you thru the necessities quick and simply, supplying you with the information you must achieve math self belief.

Includes:

- One, 5 and ten-minute introductions to key rules to get you begun.
- Lots of quick support with universal difficulties and speedy suggestions for achievement, in accordance with the author’s decades of expertise.
- Tests to maintain music of one's development.
- Worked examples, transparent reasons and routines.

Topics comprise: quantity; Angles; Fractions; Two-dimensional shapes; Decimals; records; Directed numbers; Graphs; dimension; Perimeter and zone; Algebra; Approximation; Equations; chances; Formulae; Circles; chance; 3-dimensional shapes; Ratio and share; Pythagoras' Theorem and trigonometry; Indices and conventional shape; Statistics

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**Additional resources for Complete Mathematics: Teach Yourself**

**Example text**

They include the numbers 1, 3, 6, 10, . . ᭤ Rectangle numbers are any number that can be shown as a rectangle of dots. ᭤ Cube numbers can be shown as a cube of dots. The ﬁrst three cube numbers are 1, 8 and 27. ᭤ The multiples of a number are the answers to that number’s times table. So the multiples of 4 are 4, 8, 12, 16, 20, . . ᭤ A factor of a number is any number which divides exactly into that number. Every number has 1 and itself as factors. The factors of 10 are 1, 2, 5 and 10. ᭤ Prime numbers are numbers with exactly two factors.

12, ∠XYZ = 90°, so a + 71° = 90° giving a = 90° – 71° = 19°. Two angles whose sum is 90° are complementary. The angle made on a straight line is 180°. If there are two or more angles on a straight line, then their sum must also be 180°. This fact is usually stated as angles on a straight line add up to 180°. 13, PQ is a straight line, so c and 78° add up to 180°. Thus, c = 180° – 78° = 102°. Two angles which add up to 180° are called supplementary, so 78° and 102° are supplementary angles. There are 360° in a complete turn.

The angles b and d are also vertically opposite. The argument in the previous paragraph shows that vertically opposite angles are equal. Insight You can think of a pair of scissors: as the angle between the handles increases, so does the angle between the blades. 2. 3 1 Find the size of each angle marked with a letter. Where they occur, AB and CD are straight lines. 35° b 32° a 23° EXERCISE (a) (b) 59° d c 75° 63° A (d) B C B e (e) (f) i 51° g A (g) D f 149° 68° 63° B 64° 136° 72° 69° A (c) j h (h) 2 In the diagram, is ∠AOD a straight line?