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Arizona ACT · Grade 11 · Math

Arizona ACT Math Practice Test: Grade 11

Build Grade 11 Arizona ACT Math readiness with five focused 10-question practice sets covering algebra, functions, geometry, statistics, probability, number, and mathematical modeling.

Arizona ACT Math Grade 11 practice sets

This Arizona ACT Math Practice Test: Grade 11 page provides five short practice sets with 10 original multiple-choice questions each. The sets support supplemental review across algebra, functions, geometry, measurement, statistics, probability, number and quantity, and modeling.

Skills covered

  • Linear equations, functions, slope, quadratics, expressions, inequalities, systems, and roots
  • Triangle area, circles, the Pythagorean theorem, volume, similarity, distance, midpoint, perimeter, angles, and sectors
  • Mean, median, range, probability, mutually exclusive events, percentages, scatterplots, outliers, and distributions
  • Exponents, radicals, ratios, scientific notation, percent change, rational numbers, reciprocals, and substitution
  • Linear and exponential models, rates, discounts, fixed and variable quantities, accuracy, predictions, and mean differences

How to use this page

Complete one 10-question set at a time. Write the equation before calculating, check units, and review the explanation for every missed or guessed answer.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current Arizona Department of Education or ACT guidance, official test materials, accommodations, or testing schedules.

For the broader Arizona assessment hub, visit Arizona State Assessments.

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

4. Test

Arizona ACT Math Grade 11 Practice Questions

A 10-question Arizona ACT Math Grade 11 practice set on number and quantity, with answers and explanations.

Show your work when useful, choose one answer, and review the explanation after responding.

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

What is the value of 343^4?

Please select an answer first.

Correct answer: A

The correct answer is 8181.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Multiply 3 by itself four times: 34=813^4=81.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Multiply 3 by itself four times: 34=813^4=81.

2. QuestionMultiple choice

What is the simplified form of 72\sqrt{72}?

Please select an answer first.

Correct answer: B

The correct answer is 626\sqrt{2}.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Since 72=36⋅272=36\cdot2, 72=62\sqrt{72}=6\sqrt{2}.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Since 72=36⋅272=36\cdot2, 72=62\sqrt{72}=6\sqrt{2}.

3. QuestionMultiple choice

If a:b=2:5a:b=2:5 and a=8a=8, what is bb?

Please select an answer first.

Correct answer: C

The correct answer is 2020.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: The scale factor from 2 to 8 is 4, so b=5(4)=20b=5(4)=20.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

The scale factor from 2 to 8 is 4, so b=5(4)=20b=5(4)=20.

4. QuestionMultiple choice

What is 0.000450.00045 written in scientific notation?

Please select an answer first.

Correct answer: D

The correct answer is 4.5×10−44.5\times10^{-4}.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Move the decimal four places right, giving 4.5×10−44.5\times10^{-4}.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Move the decimal four places right, giving 4.5×10−44.5\times10^{-4}.

5. QuestionMultiple choice

What is the percent increase from 40 to 50?

Please select an answer first.

Correct answer: A

The correct answer is 25 percent.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: The increase is 10, and 10/40=0.2510/40=0.25, or 25 percent.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

The increase is 10, and 10/40=0.2510/40=0.25, or 25 percent.

6. QuestionMultiple choice

Which value is greatest?

Please select an answer first.

Correct answer: B

The correct answer is 34\frac{3}{4}.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: 34=0.75\frac{3}{4}=0.75, which is greater than 0.7, 0.6, and approximately 0.667.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

34=0.75\frac{3}{4}=0.75, which is greater than 0.7, 0.6, and approximately 0.667.

7. QuestionMultiple choice

What is the reciprocal of 58\frac{5}{8}?

Please select an answer first.

Correct answer: C

The correct answer is 85\frac{8}{5}.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: The reciprocal is found by switching the numerator and denominator.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

The reciprocal is found by switching the numerator and denominator.

8. QuestionMultiple choice

If p=3p=3 and q=−2q=-2, what is p2+qp^2+q?

Please select an answer first.

Correct answer: D

The correct answer is 77.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Substitute the values: 32+(−2)=9−2=73^2+(-2)=9-2=7.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Substitute the values: 32+(−2)=9−2=73^2+(-2)=9-2=7.

9. QuestionMultiple choice

Which expression represents 15 percent of nn?

Please select an answer first.

Correct answer: A

The correct answer is 0.15n0.15n.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Fifteen percent written as a decimal is 0.15, so the expression is 0.15n0.15n.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Fifteen percent written as a decimal is 0.15, so the expression is 0.15n0.15n.

10. QuestionMultiple choice

A quantity is multiplied by 0.80.8. What percent of the original quantity remains?

Please select an answer first.

Correct answer: B

The correct answer is 80 percent.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: A multiplier of 0.8 represents 80 percent of the original quantity.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

A multiplier of 0.8 represents 80 percent of the original quantity.

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Frequently asked questions about Arizona ACT Math Practice Test: Grade 11

Which Math skills are covered?

The page covers algebra, functions, geometry, measurement, statistics, probability, number and quantity, rates, percentages, and mathematical modeling.

How many questions are included?

There are five practice sets with 10 questions each, for 50 questions in total. Each set can be completed separately.

Are these official ACT questions?

No. These are original supplemental practice questions. Check the latest Arizona Department of Education and ACT information for official materials, standards, accommodations, and policies.