Lesson 1.03a

1.03a Straight lines and circles Quiz: OCR Maths, Unit 3

20 questions

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Lesson 1.03a, Straight lines and circles: 20 multiple choice questions for the OCR Maths (H240), Unit 3: Coordinate Geometry in the x-y Plane, written with Revision Ninja.

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The 20 questions

  1. What is the gradient of the line through (1, 2) and (3, 8)?

    • 3
    • 2
    • 1/3
    • 6
  2. What is the equation of the line through (2, 5) with gradient -2?

    • y = -2x + 1
    • y = -2x + 9
    • y = -2x - 9
    • y = 2x + 1
  3. What are the coordinates of the midpoint of the segment joining (1, 2) and (5, 8)?

    • (3, 5)
    • (2, 3)
    • (3, 6)
    • (4, 6)
  4. What is the distance between (0, 0) and (3, 4)?

    • 7
    • 5
    • 25
    • sqrt(7)
  5. Which gradient is parallel to the line y = 3x - 1?

    • 1/3
    • -1/3
    • 3
    • -3
  6. Which gradient is perpendicular to the line y = 3x - 1?

    • -3
    • 3
    • 1/3
    • -1/3
  7. Where do the lines y = 2x + 1 and y = -x + 4 intersect?

    • (1, 1)
    • (3, 1)
    • (1, 3)
    • (2, 5)
  8. Which equation describes the line through (0, 4) and (2, 0)?

    • x + 2y + 4 = 0
    • 2x - y + 4 = 0
    • 2x + y - 4 = 0
    • x + 2y - 4 = 0
  9. In the linear cost model C = 12n + 80, what value is the gradient?

    • 80
    • 12n
    • 12
    • 92
  10. What is the equation of the line through (2, 3) perpendicular to y = x/2 + 1?

    • y = -2x - 1
    • y = x/2 + 2
    • y = 2x - 1
    • y = -2x + 7
  11. What is the equation of the line through (4, -1) parallel to 3x - 2y + 5 = 0?

    • y = (2/3)x - 3
    • y = (3/2)x - 7
    • y = (3/2)x + 5
    • y = -(2/3)x + 1
  12. Which point lies on the line 2x - 3y = 6?

    • (0, 3)
    • (2, 2)
    • (-3, 0)
    • (3, 0)
  13. Where does the line through (1, 1) and (3, 5) meet the x-axis?

    • (0, 1/2)
    • (2, 0)
    • (-1/2, 0)
    • (1/2, 0)
  14. Which equation describes the line through (2, 1) and (4, 5)?

    • 2x - y - 3 = 0
    • 2x + y - 5 = 0
    • 2x - y + 3 = 0
    • x - 2y + 3 = 0
  15. A triangle has vertices (0, 0), (4, 0) and (0, 3). What is the midpoint of the hypotenuse?

    • (2, 1.5)
    • (1.5, 2)
    • (2, 2)
    • (4, 3)
  16. What is the distance between the points (-1, 2) and (2, 6)?

    • 5
    • 7
    • sqrt(13)
    • 25
  17. For the line y = kx + 3 to be perpendicular to y = 2x - 5, what is k?

    • -1/2
    • 1/2
    • -2
    • 2
  18. For the lines 3x + ky = 6 and 2x - y = 1 to be parallel, what is k?

    • k = 3/2
    • k = 2/3
    • k = -2/3
    • k = -3/2
  19. A linear model passes through (1, 4) and (5, 12). What does it predict at x = 7?

    • 16
    • 20
    • 18
    • 14
  20. The line y = mx + 1 passes through (3, 4). What is m?

    • 3
    • 1
    • 1/3
    • -1

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