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.

2. Test

Arizona ACT Math Grade 11 Practice Questions

A 10-question Arizona ACT Math Grade 11 practice set on geometry and measurement, 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

A triangle has base 1212 units and height 55 units. What is its area?

Please select an answer first.

Correct answer: A

The correct answer is 3030 square units.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Use A=12bhA=\frac{1}{2}bh: A=12(12)(5)=30A=\frac{1}{2}(12)(5)=30.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Use A=12bhA=\frac{1}{2}bh: A=12(12)(5)=30A=\frac{1}{2}(12)(5)=30.

2. QuestionMultiple choice

A circle has radius 44. What is its circumference in terms of π\pi?

Please select an answer first.

Correct answer: B

The correct answer is 8π8\pi.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Use C=2πrC=2\pi r: C=2π(4)=8πC=2\pi(4)=8\pi.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Use C=2πrC=2\pi r: C=2π(4)=8πC=2\pi(4)=8\pi.

3. QuestionMultiple choice

A right triangle has legs 6 and 8. What is the length of the hypotenuse?

Please select an answer first.

Correct answer: C

The correct answer is 1010.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: By the Pythagorean theorem, c=62+82=100=10c=\sqrt{6^2+8^2}=\sqrt{100}=10.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

By the Pythagorean theorem, c=62+82=100=10c=\sqrt{6^2+8^2}=\sqrt{100}=10.

4. QuestionMultiple choice

What is the volume of a rectangular prism with dimensions 3, 4, and 5?

Please select an answer first.

Correct answer: D

The correct answer is 6060 cubic units.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Multiply the dimensions: V=3(4)(5)=60V=3(4)(5)=60.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Multiply the dimensions: V=3(4)(5)=60V=3(4)(5)=60.

5. QuestionMultiple choice

Two triangles are similar with a scale factor of 22 from the smaller to the larger. If a smaller side is 7, what is the corresponding larger side?

Please select an answer first.

Correct answer: A

The correct answer is 1414.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Multiply the smaller length by the scale factor: 2(7)=142(7)=14.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Multiply the smaller length by the scale factor: 2(7)=142(7)=14.

6. QuestionMultiple choice

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

Please select an answer first.

Correct answer: B

The correct answer is 55.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: 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: Confirm that the answer is reasonable and matches the units or conditions in the question.

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

7. QuestionMultiple choice

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

Please select an answer first.

Correct answer: C

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

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Average the coordinates: (−2+62,4+102)=(2,7)\left(\frac{-2+6}{2},\frac{4+10}{2}\right)=(2,7).
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

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

8. QuestionMultiple choice

A rectangle has perimeter 30 and length 9. What is its width?

Please select an answer first.

Correct answer: D

The correct answer is 66.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Use 2(9+w)=302(9+w)=30, so 9+w=159+w=15 and w=6w=6.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Use 2(9+w)=302(9+w)=30, so 9+w=159+w=15 and w=6w=6.

9. QuestionMultiple choice

What is the measure of an angle supplementary to 68∘68^\circ?

Please select an answer first.

Correct answer: A

The correct answer is 112∘112^\circ.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Supplementary angles sum to 180 degrees: 180−68=112180-68=112.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Supplementary angles sum to 180 degrees: 180−68=112180-68=112.

10. QuestionMultiple choice

A sector is one quarter of a circle with radius 8. What is its area in terms of π\pi?

Please select an answer first.

Correct answer: B

The correct answer is 16π16\pi.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: The full circle area is 64π64\pi; one quarter is 16π16\pi.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

The full circle area is 64π64\pi; one quarter is 16π16\pi.

Choose your next study path

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.