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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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5 Tests
1. Test2. Test3. Test4. Test5. Test

1. Test

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 34+18\frac{3}{4}+\frac{1}{8}?

Please select an answer first.

Correct answer: A

The correct answer is 78\frac{7}{8}.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Rewrite 34\frac{3}{4} as 68\frac{6}{8}, then add 68+18=78\frac{6}{8}+\frac{1}{8}=\frac{7}{8}.
  3. Check the result: The correct answer is 78\frac{7}{8}.

Rewrite 34\frac{3}{4} as 68\frac{6}{8}, then add 68+18=78\frac{6}{8}+\frac{1}{8}=\frac{7}{8}.

2. QuestionMultiple choice

What is 23⋅222^3\cdot2^2?

Please select an answer first.

Correct answer: B

The correct answer is 32.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: For equal bases, add exponents: 23⋅22=25=322^3\cdot2^2=2^5=32.
  3. Check the result: The correct answer is 32.

For equal bases, add exponents: 23⋅22=25=322^3\cdot2^2=2^5=32.

3. QuestionMultiple choice

What is 15% of 80?

Please select an answer first.

Correct answer: C

The correct answer is 12.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Convert 15% to 0.15 and calculate 0.15(80)=120.15(80)=12.
  3. Check the result: The correct answer is 12.

Convert 15% to 0.15 and calculate 0.15(80)=120.15(80)=12.

4. QuestionMultiple choice

What is the value of xx in 5x−7=185x-7=18?

Please select an answer first.

Correct answer: D

The correct answer is 5.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Add 7 to get 5x=255x=25, then divide by 5 to find x=5x=5.
  3. Check the result: The correct answer is 5.

Add 7 to get 5x=255x=25, then divide by 5 to find x=5x=5.

5. QuestionMultiple choice

The ratio of red to blue marbles is 2:32:3, and there are 25 marbles. How many are red?

Please select an answer first.

Correct answer: A

The correct answer is 10 marbles.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The ratio has 5 parts, each worth 5 marbles, so the 2 red parts contain 10 marbles.
  3. Check the result: The correct answer is 10 marbles.

The ratio has 5 parts, each worth 5 marbles, so the 2 red parts contain 10 marbles.

6. QuestionMultiple choice

What is ∣−6∣|-6|?

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: Absolute value measures distance from zero, so ∣−6∣=6|-6|=6.
  3. Check the result: The correct answer is 6.

Absolute value measures distance from zero, so ∣−6∣=6|-6|=6.

7. QuestionMultiple choice

Which expression is equivalent to 4(2x−3)4(2x-3)?

Please select an answer first.

Correct answer: C

The correct answer is 8x−128x-12.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Distribute 4 to both terms: 4(2x)−4(3)=8x−124(2x)-4(3)=8x-12.
  3. Check the result: The correct answer is 8x−128x-12.

Distribute 4 to both terms: 4(2x)−4(3)=8x−124(2x)-4(3)=8x-12.

8. QuestionMultiple choice

Which inequality is equivalent to 2x+1≤72x+1\le7?

Please select an answer first.

Correct answer: D

The correct answer is x≤3x\le3.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Subtract 1 to get 2x≤62x\le6, then divide by 2 to obtain x≤3x\le3.
  3. Check the result: The correct answer is x≤3x\le3.

Subtract 1 to get 2x≤62x\le6, then divide by 2 to obtain x≤3x\le3.

9. QuestionMultiple choice

What is the mean of 3, 5, and 7?

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: The sum is 15, and 15÷3=515\div3=5.
  3. Check the result: The correct answer is 5.

The sum is 15, and 15÷3=515\div3=5.

10. QuestionMultiple choice

What is the next term in the sequence 4, 7, 10, 13, ...?

Please select an answer first.

Correct answer: B

The correct answer is 16.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The common difference is 3, so the next term is 13+3=1613+3=16.
  3. Check the result: The correct answer is 16.

The common difference is 3, so the next term is 13+3=1613+3=16.

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