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ACT Math Practice Tests

These Grade 11 Additional Subjects practice tests cover ACT Math skills in Pre-Algebra, Elementary Algebra, Intermediate Algebra, Coordinate Geometry, Plane Geometry, Trigonometry, probability, statistics, and real-world applications.

Skills covered

  • Solving fractions, exponents, percentages, ratios, equations, inequalities, sequences, and systems
  • Working with lines, slopes, circles, distance, midpoint, transformations, quadratics, functions, and rational expressions
  • Applying triangle properties, similarity, area, volume, circumference, polygons, and the Pythagorean theorem
  • Using sine, cosine, coordinate geometry, probability, expected value, averages, and data relationships
  • Reading and solving equations with LaTeX-style fractions, exponents, coordinates, and geometric notation

How to use these practice tests

Translate the prompt before calculating. Track units, signs, scale factors, and whether the question asks for a value, rate, probability, area, volume, or equation.

For more Grade 11 Additional Subjects practice, return to the Grade 11 Additional Subjects category.

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Grade 11 ACT Math Practice Tests

Practice Grade 11 Additional Subjects questions for ACT Math covering pre-algebra, algebra, coordinate geometry, plane geometry, trigonometry, probability, and data analysis.

Choose the best answer. Translate the situation into an equation, coordinate relationship, geometric rule, or probability model, then solve and check the units.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is the distance between (1,2)(1,2) and (4,6)(4,6)?

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Use the distance formula: (4−1)2+(6−2)2=9+16=5\sqrt{(4-1)^2+(6-2)^2}=\sqrt{9+16}=5.
  3. Check the result: The correct answer is 5.

Use the distance formula: (4−1)2+(6−2)2=9+16=5\sqrt{(4-1)^2+(6-2)^2}=\sqrt{9+16}=5.

2. QuestionMultiple choice

What is the midpoint of (−2,4)(-2,4) and (6,10)(6,10)?

Please select an answer first.

Correct answer: B

The correct answer is (2,7)(2,7).

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Average corresponding coordinates: (−2+62,4+102)=(2,7)\left(\frac{-2+6}{2},\frac{4+10}{2}\right)=(2,7).
  3. Check the result: The correct answer is (2,7)(2,7).

Average corresponding coordinates: (−2+62,4+102)=(2,7)\left(\frac{-2+6}{2},\frac{4+10}{2}\right)=(2,7).

3. QuestionMultiple choice

Which equation represents a circle centered at (0,0)(0,0) with radius 4?

Please select an answer first.

Correct answer: C

The correct answer is x2+y2=16x^2+y^2=16.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: A circle centered at the origin follows x2+y2=r2x^2+y^2=r^2, so r=4r=4 gives 16.
  3. Check the result: The correct answer is x2+y2=16x^2+y^2=16.

A circle centered at the origin follows x2+y2=r2x^2+y^2=r^2, so r=4r=4 gives 16.

4. QuestionMultiple choice

Which line is parallel to y=12x+3y=\frac{1}{2}x+3?

Please select an answer first.

Correct answer: D

The correct answer is y=12x−8y=\frac{1}{2}x-8.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Parallel lines have equal slopes; the required slope is 12\frac{1}{2}.
  3. Check the result: The correct answer is y=12x−8y=\frac{1}{2}x-8.

Parallel lines have equal slopes; the required slope is 12\frac{1}{2}.

5. QuestionMultiple choice

Which line is perpendicular to y=3x−2y=3x-2?

Please select an answer first.

Correct answer: A

The correct answer is y=−13x+5y=-\frac{1}{3}x+5.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The negative reciprocal of 3 is −13-\frac{1}{3}, so that is the perpendicular slope.
  3. Check the result: The correct answer is y=−13x+5y=-\frac{1}{3}x+5.

The negative reciprocal of 3 is −13-\frac{1}{3}, so that is the perpendicular slope.

6. QuestionMultiple choice

A point is reflected across the xx-axis. What happens to its coordinates?

Please select an answer first.

Correct answer: B

The correct answer is The sign of the yy-coordinate changes.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Reflection over the xx-axis maps (x,y)(x,y) to (x,−y)(x,-y).
  3. Check the result: The correct answer is The sign of the yy-coordinate changes.

Reflection over the xx-axis maps (x,y)(x,y) to (x,−y)(x,-y).

7. QuestionMultiple choice

What is the area of the triangle with vertices (0,0)(0,0), (6,0)(6,0), and (0,4)(0,4)?

Please select an answer first.

Correct answer: C

The correct answer is 12 square units.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The legs form a right triangle, so the area is 12(6)(4)=12\frac{1}{2}(6)(4)=12.
  3. Check the result: The correct answer is 12 square units.

The legs form a right triangle, so the area is 12(6)(4)=12\frac{1}{2}(6)(4)=12.

8. QuestionMultiple choice

What is the equation of the line with slope -2 and yy-intercept 6?

Please select an answer first.

Correct answer: D

The correct answer is y=−2x+6y=-2x+6.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Use slope-intercept form y=mx+by=mx+b with m=−2m=-2 and b=6b=6.
  3. Check the result: The correct answer is y=−2x+6y=-2x+6.

Use slope-intercept form y=mx+by=mx+b with m=−2m=-2 and b=6b=6.

9. QuestionMultiple choice

In which quadrant is the point (−3,5)(-3,5)?

Please select an answer first.

Correct answer: A

The correct answer is Quadrant II.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: A negative xx-coordinate and positive yy-coordinate place the point in Quadrant II.
  3. Check the result: The correct answer is Quadrant II.

A negative xx-coordinate and positive yy-coordinate place the point in Quadrant II.

10. QuestionMultiple choice

What is the xx-intercept of 2x+3y=122x+3y=12?

Please select an answer first.

Correct answer: B

The correct answer is 6.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Set y=0y=0: 2x=122x=12, so x=6x=6.
  3. Check the result: The correct answer is 6.

Set y=0y=0: 2x=122x=12, so x=6x=6.

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