Ontario Canada Grade 10 Math Paper in EnglishFeel free to use any of the material in this document Marks are only guidelinesWe have categorized each question into one of the 4 achievement chart AC cat

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10. The equation of a circle with center at (3, -5) and a radius of 7 is:

a) b) c) d)

11. What is the slope of a line that is perpendicular to a line with a slope of 2/3?

a) 3/2 b) -3/2 c) -2/3 d) 2/3

12. The equation of a line that passes through the point (2, -3) and has a slope of 4 is:

a) b) c) d)

13. What is the equation of a line that passes through the point (4, 2) and is parallel to the line with equation y = 3x - 1?

a) b) c) d)

14. What is the equation of a line that passes through the point (5, -1) and is perpendicular to the line with equation y = 2x + 3?

a) b) c) d)

15. The equation of a vertical line passing through the point (3, 5) is:

a) b) c) d)

16. The equation of a line that passes through the points (1, 4) and (5, 8) is:

a) b) c) d)

17. What is the equation of a circle with center at (-2, 6) and a radius of 4?

a) b) c) d)

18. What is the equation of a circle with center at (1, -3) and passing through the point (5, 1)?

a) b) c) d)

19. The equation of a line that passes through the point (3, 4) and is perpendicular to the line with equation y = -2x + 5 is:

a) b) c) d)

20. The equation of a line that passes through the points (2, -3) and (4, 1) is:

a) b) c) d)

21. The equation of a circle with center at (-5, 3) and a radius of 6 is:

a) b) c) d)

22. What is the equation of a line that passes through the point (-2, 7) and is parallel to the line with equation y = -3x + 1?

a) b) c) d)

23. What is the equation of a circle with center at (0, 0) and a radius of 5?

a) b) c) d)

24. The equation of a line that passes through the points (2, -5) and (6, 1) is:

a) b) c) d)

25. The equation of a circle with center at (4, -2) and passing through the point (1, -5) is:

a) b) c) d)

A/C[T] Part B – Short Answer 20 Marks (5 questions * 4 marks each)Answer each question in the space provided. Show all work.1. A line segment has endpoints A(-2, 4) and B(6, -2). Find the midpoint of the segment.2. A line passes through the point (3, 5) and has a slope of -2. Find the equation of the line.3. The equation of a circle is . Find the center and radius of the circle.4. Find the equation of a line that passes through the point (7, -3) and is perpendicular to the line with equation y = 2x + 1.5. A circle has center (-4, 3) and passes through the point (2, -1). Find the equation of the circle.A/C[A] Part C – Problem Solving 30 Marks (3 questions * 10 marks each)Answer each question in the space provided. Show all work.1. A rectangle has a perimeter of 40 cm. The length of the rectangle is 2 cm more than twice the width. Find the dimensions of the rectangle.2. A triangle has vertices at A(-2, 3), B(4, 5) and C(1, -1). Find the area of the triangle.3. A spherical balloon is being inflated. The volume of the balloon is increasing at a rate of 20 cubic centimeters per second. At what rate is the radius of the balloon increasing when the volume is 500 cubic centimeters?A/C[C] Part D – Communication 25 Marks (5 questions * 5 marks each)Answer each question in the space provided. Show all work. Explain your reasoning and show all steps.1. The equation of a circle is . Explain how you can tell whether the circle intersects the x-axis.2. A line has the equation y = -3x + 2. Explain how you can tell whether the line is increasing or decreasing.3. A right triangle has a hypotenuse of length 10 and one leg of length 6. Find the length of the other leg. Show all work and explain your reasoning.4. The equation of a circle is . Explain how you can tell whether the circle intersects the y-axis.5. A line has the equation 2x - 3y = 6. Find the x- and y-intercepts of the line. Show all work and explain your reasoning