Basic Skills Mathematics Year 7 by Robert Haese

By Robert Haese

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1£4 4£4 = 4 16 DEMO 9 12 Divide to find equivalent fractions: 9 12 3 4 and = 9¥3 12¥3 = 3 4 are also equivalent. Exercise 26 1 Multiply to find equivalent fractions: 5 5 5£2 10 5£2 25 a b = = = = 6 6£2 2 7 7£5 2 2 Divide to find equivalent fractions: 8¥2 2 10 ¥ 5 2 8 10 = = = = a b 10 10 ¥ 2 5 15 15 ¥ 2 3 c 4 4£2 40 = = 5 5£2 2 c 2¥2 2 18 = = 20 20 ¥ 2 10 3 Express with denominator 8: a 1 4 1 2 b c 3 4 d 1 To obtain equivalent fractions we multiply (or divide) both the numerator and denominator by the same number.

Repeat this process until all the horizontal points have been joined. 5 Then draw a vertical line at 16 on the base line and repeat the pattern. 6 A real challenge is to turn the page upside down and repeat the pattern so that you have drawn 4 sets of straight lines. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 etc. 38 SHAPES AND SOLIDS (CHAPTER 3) Unit 16 Angles Classifying angles The size of an angle is measured in degrees. Naming Angles (Three Point Notation) A Name Figure Degrees Revolution 360o one full turn Straight angle 180o 1 2 turn Right angle 90o 1 4 turn Acute angle between 0o and 90o less than 14 turn Obtuse angle between 90o and 180o between 14 and 12 turn Reflex angle between 180o and 360o between 12 and 1 turn B C We call this: ² angle ABC (or angle CBA) or ² ]ABC (or ]CBA) Notice that vertex B is in the middle of the three letters.

Join A and B to the point of intersection of the two arcs to form triangle ABC. A 4 cm B 4 cm B In geometry, construct means that you may only use a drawing compass and straight edge. 2 cm A 3 cm 4 cm A B C 2 cm A 3 cm 4 cm B Exercise 20 1 Accurately construct, with ruler and compass, a triangle with sides 4 cm, 5 cm and 6 cm. 2 Draw AB of length 5 cm. Set the compass points 5 cm apart. With centre A, draw an arc of a circle above AB. Likewise with centre B draw an arc to intersect the other one.

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