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Oak MathsTest · Maths

Determining which side

The starter and exit quiz of the lesson “Determining which side”, 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. In this diagram, a cm² = 140 cm² and b cm² = 185 cm².The area c cm² is ___ cm².
  2. In this diagram, b cm² = 77 cm² and c cm² = 107 cm².Find the area a cm².
  3. In the diagram, a = 1504 and b = 1200.Find the length of the hypotenuse of the triangle.
  4. In this diagram, a = 49, b = 576, and c = 625.The perimeter of the triangle is ___ cm.
  5. In a right-angled triangle, one of its acute interior angles is 33°. What is the size of its other acute interior angle?
  6. The size of an acute angle in a right-angled isosceles triangle is ___°.
  7. Which of these triangles are right-angled triangles?
  8. In the diagram, x = 101, y = 45, z = 56.Which of these angles is the right angle?
  9. A right-angled triangle has sides of length 21 inches, 220 inches, and 221 inches.Which of these are correct Pythagoras' theorem equations for this triangle?
  10. A right-angled triangle has sides of length 39 inches, 80 inches, and 89 inches.Which of these are correctly rearranged Pythagoras' theorem equations for this triangle?
  11. Using Pythagoras' theorem, calculate the length of the side labelled j, rounded to 1 decimal place. Length of side j is ___ cm.
  12. Using Pythagoras' theorem twice, calculate the length of the side labelled h, rounded to 2 decimal places. Length of side h is ___ cm.

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Determining which side · Examplary