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Demonstrating Pythagoras' theorem

The starter and exit quiz of the lesson “Demonstrating Pythagoras' theorem”, from the unit “Geometrical properties: similarity and Pythagoras' theorem” (Year 9 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Which of these are square numbers?
  2. Match each statement to its value.
  3. The difference between 11² and 7² is ___.
  4. 8² + 6² – 10² = ___.
  5. Which of these show a fully and correctly correctly marked square?
  6. Starting with the smallest, place these angles in order of size.
  7. What is the size of the largest angle in the triangle formed from these three squares?
  8. Which of these three angles is the largest?
  9. Which of these are possible sizes for the largest angle?
  10. If three congruent squares are joined at their vertices, what type of triangle is formed?
  11. Two congruent squares, A and B, and a third square, C, are joined at their vertices. The area of square C is less than the area of square A. What type of triangle is formed?
  12. A right-angled triangle is formed from three squares. The area of two of the squares are 50 units² and 70 units². What are the possible areas of the third square?

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Demonstrating Pythagoras' theorem · Examplary