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Geometry and trigonometry

Geometry and trigonometry. revision. MEASUREMENT. There may be a question in the exam where you are given a diagram like this and you will need to work out one side length. Remember to use Pythagoras. Unit conversion.

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Geometry and trigonometry

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  1. Geometry and trigonometry revision

  2. MEASUREMENT There may be a question in the exam where you are given a diagram like this and you will need to work out one side length. Remember to use Pythagoras.

  3. Unit conversion • You will need to know unit conversions: perimeter, area, volume and capacity. • Eg:

  4. TOTAL SURFACE AREA THE BIN QUESTION Work out each individual face and then work out the total surface area. This formula includes the lid and base

  5. SCALE FACTORS • k(scale factor) = length of image length of orginal • Always label the original and image diagrams and then determine the scale factor to work out the unknown length.

  6. BE CAUTIOUS!!! • Examiners will always give you the LINEAR scale factor in order to work out the area or even volume for a figure. You must change the scale factor to suit the question by either squaring or cubing.

  7. RIGHT-ANGLED TRIANGLE • CAN ONLY USE: • 1. PYTHAGORAS • 2. TRIG RATIOS (SOH-CAH-TOA)

  8. THREE-DIMENSIONAL PYTHAGORAS THEOREM • This will require you to find a length in a base first before working out the unknown length in question. • Type of questions: a rod in a rectangular prism, a toothpick in a matchbox, a chopstick in a lunchbox etc. • EG: TO THE NEARET CM, WHAT IS THE LONGEST DRUMSTICK THAT COULD FIT IN A RECTANGULAR TOY BOX WHOSE DIMENSIONS ARE 80cm LONG BY 80cm WIDE BY 60cm HIGH?

  9. BEARINGS AND NAVIGATION

  10. CHAPTER REVIEW • COMPLETE Q’S 1-16 SHORT ANSWER PG 471 • COMPLETE Q’S 1-4 EXTENDED RESPONSE PG 473

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