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Advanced problem solving with non-linear graphs

The starter and exit quiz of the lesson “Advanced problem solving with non-linear graphs”, from the unit “Non-linear graphs” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. __________ is a line that a curve approaches but never touches.
  2. Laura plots the graph of y=x^3. When the x coordinate is -4, the y coordinate is ___.
  3. Andeep plots the reciprocal graph y={1\over{x}}. Which of these will be coordinate pairs?
  4. Jun graphs the circle x^2+y^2=16. When the y coordinate is 3, the x coordinate is ___.
  5. The general form of the equation of a circle with centre origin is x^2+y^2=r^2. What is the radius of the circle graphed by the equation x^2+y^2=25?
  6. A quarter circle with radius 7 overlaps a square of length 7. Which of these calculations will give the shaded area?
  7. This is an example of __________ graph.
  8. This is an example of __________ graph.
  9. How can you tell that this is not the graph of y={5\over{x}}?
  10. Which of these could be the equation of this graph?
  11. Which of these could be the equation of this graph?
  12. The circle x^2+y^2=49 and the line x+y=0 are drawn on the same axes. What is the area of the region bound by the circumference of the circle, the line x+y=0, and the y axis?

License: OGL

Advanced problem solving with non-linear graphs · Examplary