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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

The angles of a triangle are 45 degrees, 65 degrees, and xx degrees. What is xx?

Please select an answer first.

Correct answer: A

The correct answer is 70 degrees.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Triangle angles sum to 180 degrees, so x=180−45−65=70x=180-45-65=70.
  3. Check the result: The correct answer is 70 degrees.

Triangle angles sum to 180 degrees, so x=180−45−65=70x=180-45-65=70.

2. QuestionMultiple choice

Two similar triangles have corresponding side lengths in a ratio of 3:53:5. What is the ratio of their perimeters?

Please select an answer first.

Correct answer: B

The correct answer is 3:53:5.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Perimeters scale by the same linear factor as corresponding sides, so the ratio is 3:53:5.
  3. Check the result: The correct answer is 3:53:5.

Perimeters scale by the same linear factor as corresponding sides, so the ratio is 3:53:5.

3. QuestionMultiple choice

What is the area of a circle with radius 5?

Please select an answer first.

Correct answer: C

The correct answer is 25π25\pi square units.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Use A=πr2=π(52)=25πA=\pi r^2=\pi(5^2)=25\pi.
  3. Check the result: The correct answer is 25π25\pi square units.

Use A=πr2=π(52)=25πA=\pi r^2=\pi(5^2)=25\pi.

4. QuestionMultiple choice

What is the volume of a rectangular prism with dimensions 3, 4, and 6?

Please select an answer first.

Correct answer: D

The correct answer is 72 cubic units.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Multiply the dimensions: V=3(4)(6)=72V=3(4)(6)=72.
  3. Check the result: The correct answer is 72 cubic units.

Multiply the dimensions: V=3(4)(6)=72V=3(4)(6)=72.

5. QuestionMultiple choice

A right triangle has legs 5 and 12. What is the hypotenuse?

Please select an answer first.

Correct answer: A

The correct answer is 13.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: By the Pythagorean theorem, c=52+122=169=13c=\sqrt{5^2+12^2}=\sqrt{169}=13.
  3. Check the result: The correct answer is 13.

By the Pythagorean theorem, c=52+122=169=13c=\sqrt{5^2+12^2}=\sqrt{169}=13.

6. QuestionMultiple choice

What is cos⁡(60∘)\cos(60^\circ)?

Please select an answer first.

Correct answer: B

The correct answer is 12\frac{1}{2}.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The special-angle value is cos⁡(60∘)=12\cos(60^\circ)=\frac{1}{2}.
  3. Check the result: The correct answer is 12\frac{1}{2}.

The special-angle value is cos⁡(60∘)=12\cos(60^\circ)=\frac{1}{2}.

7. QuestionMultiple choice

In a right triangle, the opposite side has length 6 and the hypotenuse has length 10. What is sin⁡(θ)\sin(\theta)?

Please select an answer first.

Correct answer: C

The correct answer is 35\frac{3}{5}.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Sine is opposite over hypotenuse: sin⁡(θ)=610=35\sin(\theta)=\frac{6}{10}=\frac{3}{5}.
  3. Check the result: The correct answer is 35\frac{3}{5}.

Sine is opposite over hypotenuse: sin⁡(θ)=610=35\sin(\theta)=\frac{6}{10}=\frac{3}{5}.

8. QuestionMultiple choice

An exterior angle of a triangle equals the sum of which angles?

Please select an answer first.

Correct answer: D

The correct answer is The two nonadjacent interior angles.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The exterior-angle theorem states that an exterior angle equals the sum of the two remote interior angles.
  3. Check the result: The correct answer is The two nonadjacent interior angles.

The exterior-angle theorem states that an exterior angle equals the sum of the two remote interior angles.

9. QuestionMultiple choice

What is the circumference of a circle with diameter 10?

Please select an answer first.

Correct answer: A

The correct answer is 10π10\pi.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Circumference is C=πdC=\pi d, so a diameter of 10 gives 10π10\pi.
  3. Check the result: The correct answer is 10π10\pi.

Circumference is C=πdC=\pi d, so a diameter of 10 gives 10π10\pi.

10. QuestionMultiple choice

What is the sum of the interior angles of a hexagon?

Please select an answer first.

Correct answer: B

The correct answer is 720 degrees.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Use (n−2)180=(6−2)180=720(n-2)180=(6-2)180=720 degrees.
  3. Check the result: The correct answer is 720 degrees.

Use (n−2)180=(6−2)180=720(n-2)180=(6-2)180=720 degrees.

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