NumicornNumicornLearn, solve, progress

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.

Select a test

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

5. 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

A cyclist travels 42 miles in 3.5 hours. What is the average speed?

Please select an answer first.

Correct answer: A

The correct answer is 12 miles per hour.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Average speed is distance divided by time: 42÷3.5=1242\div3.5=12 miles per hour.
  3. Check the result: The correct answer is 12 miles per hour.

Average speed is distance divided by time: 42÷3.5=1242\div3.5=12 miles per hour.

2. QuestionMultiple choice

Two machines complete a job in 6 hours and 3 hours separately. Which expression represents their combined hourly work rate?

Please select an answer first.

Correct answer: B

The correct answer is 16+13\frac{1}{6}+\frac{1}{3}.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The first machine completes 16\frac{1}{6} of the job per hour and the second 13\frac{1}{3}, so the rates add.
  3. Check the result: The correct answer is 16+13\frac{1}{6}+\frac{1}{3}.

The first machine completes 16\frac{1}{6} of the job per hour and the second 13\frac{1}{3}, so the rates add.

3. QuestionMultiple choice

A fair coin is flipped twice. What is the probability of getting two heads?

Please select an answer first.

Correct answer: C

The correct answer is 14\frac{1}{4}.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The four equally likely outcomes are HH, HT, TH, and TT, so one outcome gives 14\frac{1}{4}.
  3. Check the result: The correct answer is 14\frac{1}{4}.

The four equally likely outcomes are HH, HT, TH, and TT, so one outcome gives 14\frac{1}{4}.

4. QuestionMultiple choice

What is the median of 4, 9, 2, 11, and 7?

Please select an answer first.

Correct answer: D

The correct answer is 7.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Order the values as 2, 4, 7, 9, 11; the middle value is 7.
  3. Check the result: The correct answer is 7.

Order the values as 2, 4, 7, 9, 11; the middle value is 7.

5. QuestionMultiple choice

A line of best fit has a positive slope. What does this suggest?

Please select an answer first.

Correct answer: A

The correct answer is As one variable increases, the other tends to increase.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: A positive slope indicates a positive association, but it does not by itself prove causation.
  3. Check the result: The correct answer is As one variable increases, the other tends to increase.

A positive slope indicates a positive association, but it does not by itself prove causation.

6. QuestionMultiple choice

A quantity increases from 200 to 250. What is the percent increase?

Please select an answer first.

Correct answer: B

The correct answer is 25%.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The increase is 50, and 50÷200=0.25=25%50\div200=0.25=25\%.
  3. Check the result: The correct answer is 25%.

The increase is 50, and 50÷200=0.25=25%50\div200=0.25=25\%.

7. QuestionMultiple choice

An account starts with 1,000 dollars and grows by 5% each year. Which expression gives its value after 3 years?

Please select an answer first.

Correct answer: C

The correct answer is 1000(1.05)31000(1.05)^3.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: A 5% annual increase multiplies the balance by 1.05 each year, so three years gives 1000(1.05)31000(1.05)^3.
  3. Check the result: The correct answer is 1000(1.05)31000(1.05)^3.

A 5% annual increase multiplies the balance by 1.05 each year, so three years gives 1000(1.05)31000(1.05)^3.

8. QuestionMultiple choice

A game awards 20 points with probability 0.3 and 0 points otherwise. What is the expected score?

Please select an answer first.

Correct answer: D

The correct answer is 6 points.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Expected value is 20(0.3)+0(0.7)=620(0.3)+0(0.7)=6 points.
  3. Check the result: The correct answer is 6 points.

Expected value is 20(0.3)+0(0.7)=620(0.3)+0(0.7)=6 points.

9. QuestionMultiple choice

A taxi charges a 4-dollar starting fee and 2 dollars per mile. What is the charge for 7 miles?

Please select an answer first.

Correct answer: A

The correct answer is 18 dollars.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Use 4+2(7)=184+2(7)=18 dollars.
  3. Check the result: The correct answer is 18 dollars.

Use 4+2(7)=184+2(7)=18 dollars.

10. QuestionMultiple choice

Which value satisfies 3x−4≥113x-4\ge11?

Please select an answer first.

Correct answer: B

The correct answer is x=5x=5.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Add 4 and divide by 3: 3x≥153x\ge15, so x≥5x\ge5; among the choices, 5 satisfies the inequality.
  3. Check the result: The correct answer is x=5x=5.

Add 4 and divide by 3: 3x≥153x\ge15, so x≥5x\ge5; among the choices, 5 satisfies the inequality.

Previous testNext test