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Coordinate Geometry Quiz

Test your skills with coordinates, gradients, midpoints, distances, and equations of straight lines on the Cartesian plane.

❓ 20 Questions
⏱ 20s Per Question
🆓 Free No Sign Up

About the Coordinate Geometry Quiz

The Coordinate Geometry Quiz is a free medium-level Math quiz featuring 20 multiple-choice questions. Test your skills with coordinates, gradients, midpoints, distances, and equations of straight lines on the Cartesian plane. Each question comes with a 20-second countdown timer and instant explanations after every answer so you can learn as you play. This quiz is completely free on GoKwiz — no account or sign up required.

Coordinate Geometry Quiz — Practice Questions

1. What is the gradient of the line passing through (2, 3) and (6, 11)?

  1. 1
  2. 2
  3. 3
  4. 4

2. What is the midpoint of the line segment joining (1, 4) and (7, 10)?

  1. (3, 5)
  2. (4, 6)
  3. (4, 7)
  4. (6, 6)

3. What is the equation of a line with gradient 3 and y-intercept −2?

  1. y = −2x + 3
  2. y = −3x + 2
  3. y = 3x + 2
  4. y = 3x − 2

4. What is the distance between the points (0, 0) and (3, 4)?

  1. √7
  2. 5
  3. 6
  4. 7

5. Two lines are parallel. What can you say about their gradients?

  1. Their gradients are equal
  2. Their gradients are reciprocals
  3. Their gradients multiply to −1
  4. Their gradients sum to zero

6. Two lines are perpendicular. Line A has gradient 2. What is the gradient of line B?

  1. −1/2
  2. −2
  3. 1/2
  4. 2

7. What is the y-intercept of the line 3x + 2y = 12?

  1. 12
  2. 3
  3. 4
  4. 6

8. Which quadrant contains the point (−3, 5)?

  1. Quadrant I
  2. Quadrant II
  3. Quadrant III
  4. Quadrant IV

9. Find the equation of the line through (1, 2) with gradient 4.

  1. y = 4x + 1
  2. y = 4x + 2
  3. y = 4x − 1
  4. y = 4x − 2

10. What is the gradient of a horizontal line?

  1. −1
  2. 0
  3. 1
  4. Undefined

11. The point (5, k) lies on the line y = 2x − 3. What is k?

  1. 10
  2. 13
  3. 7
  4. 8

12. What is the distance between (1, 1) and (4, 5)?

  1. 4
  2. 5
  3. 6
  4. 7

13. What is the equation of the x-axis?

  1. x = 0
  2. x = 1
  3. y = 0
  4. y = x

14. A line has equation 4x − 2y = 8. What is its gradient?

  1. −2
  2. −4
  3. 2
  4. 4

15. What is the midpoint of (−2, 6) and (8, 2)?

  1. (3, 4)
  2. (3, 8)
  3. (5, 4)
  4. (6, 4)

16. Which of these points lies on the line y = 3x + 1?

  1. (0, 3)
  2. (1, 3)
  3. (2, 7)
  4. (3, 10)

17. Two points are A(0, 5) and B(10, 0). What is the length of AB?

  1. √125
  2. 5
  3. 5√5
  4. Both A and C are correct

18. Find the gradient of the line joining (−1, 3) and (3, −5).

  1. −1/2
  2. −2
  3. 1/2
  4. 2

19. A line is parallel to y = 5x − 3 and passes through (0, 7). What is its equation?

  1. y = −5x + 7
  2. y = 5x + 7
  3. y = 5x − 7
  4. y = 7x + 5

20. Where do the lines y = x + 2 and y = 3x − 4 intersect?

  1. (2, 2)
  2. (3, 5)
  3. (3, 5)
  4. (4, 8)

Frequently Asked Questions

How many questions are in the Coordinate Geometry Quiz?

This quiz contains 20 questions.

Is this quiz free?

Yes, completely free with no sign up or account required. All quizzes on GoKwiz are free forever.

What category is this quiz?

This quiz is in the Math category. Browse all Math quizzes →

How difficult is this quiz?

This quiz is rated medium difficulty, with a 20-second timer per question.

Can I retake the Coordinate Geometry Quiz?

Yes, as many times as you like. Questions and answer options are shuffled every time for a fresh experience. After finishing, you can also retry only the questions you got wrong.

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