U.S. High School Math · Grade 11 Practice

Grade 11 Math Practice Test

Build Grade 11 Math confidence with focused practice for functions, algebraic models, sequences, statistics, and probability.

Grade 11 Math Practice Tests

These Grade 11 Math practice tests connect algebraic reasoning, functions, modeling, sequences, and data analysis. Each set has 10 original multiple-choice questions with answer explanations.

Skills covered

  • Functions, domain, range, transformations, inverses, and models
  • Polynomial, rational, exponential, and logarithmic reasoning
  • Arithmetic and geometric sequences, series, and recursive rules
  • Sampling, probability, regression, residuals, and statistical conclusions

How to use these practice tests

Complete one set at a time, write the relationship or formula before calculating, and read the explanation after each answer. Use the results to choose a focused review topic.

These are supplemental Grade 11 Math practice materials and do not replace local course requirements or state assessment guidance.

Choose your next study path

Frequently asked questions about Grade 11 Math Practice

What topics are included?

The five sets cover functions and models, polynomial and rational functions, exponential and logarithmic models, sequences and series, and statistics and probability.

How many questions are included?

There are five practice sets with 10 questions each, for 50 Grade 11 Math questions in total.

Are these official exam questions?

No. They are original supplemental practice questions designed to reinforce common Grade 11 Math reasoning skills.

4. Test

Grade 11 Math Practice Test Questions

Practice Grade 11 Math questions about arithmetic and geometric sequences, recursive rules, series, and summation.

Choose the best answer. Show the important algebraic, graphical, numerical, or statistical reasoning before checking the explanation.

10 Questions
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1. QuestionMultiple choice

What is the common difference in 7, 11, 15, 19?

Please select an answer first.

Correct answer: A

The correct answer is 4.

  1. Identify the relationship: Subtract consecutive terms: each term increases by 4.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Subtract consecutive terms: each term increases by 4.

2. QuestionMultiple choice

What is the nth term of an arithmetic sequence with first term a1 and difference d?

Please select an answer first.

Correct answer: B

The correct answer is a_n = a_1 + (n - 1)d.

  1. Identify the relationship: Starting at a1, the sequence takes n - 1 equal steps of size d.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Starting at a1, the sequence takes n - 1 equal steps of size d.

3. QuestionMultiple choice

What is the common ratio in 3, 12, 48, 192?

Please select an answer first.

Correct answer: C

The correct answer is 4.

  1. Identify the relationship: Each term is multiplied by 4 to produce the next term.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Each term is multiplied by 4 to produce the next term.

4. QuestionMultiple choice

Which recursive rule represents the sequence 5, 8, 11, 14?

Please select an answer first.

Correct answer: D

The correct answer is a_1 = 5 and a_n = a_(n-1) + 3.

  1. Identify the relationship: The first term is 5 and each later term is 3 more than the previous term.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

The first term is 5 and each later term is 3 more than the previous term.

5. QuestionMultiple choice

What is the sum of the first 5 positive integers?

Please select an answer first.

Correct answer: A

The correct answer is 15.

  1. Identify the relationship: Add 1 + 2 + 3 + 4 + 5 = 15.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Add 1 + 2 + 3 + 4 + 5 = 15.

6. QuestionMultiple choice

What is the 6th term of the geometric sequence 2, 6, 18, ...?

Please select an answer first.

Correct answer: B

The correct answer is 486.

  1. Identify the relationship: The ratio is 3, so the sixth term is 2 times 3 to the fifth power, or 486.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

The ratio is 3, so the sixth term is 2 times 3 to the fifth power, or 486.

7. QuestionMultiple choice

What does a finite series represent?

Please select an answer first.

Correct answer: C

The correct answer is The sum of the terms of a finite sequence..

  1. Identify the relationship: A series is formed by adding sequence terms; finite means the number of terms is limited.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

A series is formed by adding sequence terms; finite means the number of terms is limited.

8. QuestionMultiple choice

When does an infinite geometric series converge?

Please select an answer first.

Correct answer: D

The correct answer is When the absolute value of its common ratio is less than 1..

  1. Identify the relationship: The terms approach zero and the sum approaches a finite value when |r| < 1.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

The terms approach zero and the sum approaches a finite value when |r| < 1.

9. QuestionMultiple choice

What is the sum of the first n terms of an arithmetic sequence?

Please select an answer first.

Correct answer: A

The correct answer is n times the average of the first and last terms.

  1. Identify the relationship: Pairing terms gives n times their average, so S_n = n(a_1 + a_n)/2.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Pairing terms gives n times their average, so S_n = n(a_1 + a_n)/2.

10. QuestionMultiple choice

A recursive sequence depends directly on what?

Please select an answer first.

Correct answer: B

The correct answer is One or more previous terms.

  1. Identify the relationship: A recursive rule defines a term using earlier terms and an initial condition.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

A recursive rule defines a term using earlier terms and an initial condition.