Mathematical Reasoning Practice Questions

1. If the radius of a circle is doubled, by what factor does its area increase?

2

3

4

8

2. What is the solution to the equation |x - 3| = 7?

x = -4 or x = 10

x = -4 or x = 4

x = 3 or x = 10

x = -10 or x = 10

3. If a triangle has sides of length 5, 12, and 13, what type of triangle is it?

Equilateral

Isosceles

Scalene

Right

4. What is the slope of the line that passes through the points (2, 3) and (5, 9)?

1

2

3

4

5. What is the sum of the interior angles of a heptagon?

720°

810°

900°

1080°

6. What is the volume of a sphere with radius 3?

36π

81π

108π

113π

7. What is the solution to the equation |x - 3| = 5?

x = -2 or x = 8

x = -2 or x = 2

x = 2 or x = 8

x = -8 or x = 8

8. What is the sum of the first 20 terms of an arithmetic sequence with a₁ = 3 and d = 2?

210

410

420

430

9. If sin(θ) = 3/5 and θ is in the second quadrant, what is cos(θ)?

-4/5

-3/5

3/5

4/5

10. What is the equation of a line that passes through the points (-1, 4) and (3, 8)?

y = x + 5

y = 2x + 3

y = x + 3

y = 2x + 5