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California CAASPP · Grade 11 · Math

California Grade 11 CAASPP Math Practice Test

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

Grade 11 CAASPP Math practice sets

This California Grade 11 CAASPP Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets support supplemental review across algebraic reasoning, functions, geometry, statistics, probability, and mathematical modeling.

Math skills covered

  • Linear equations, polynomial expressions, quadratic equations, systems, inequalities, exponents, and circle equations
  • Function evaluation, slope, exponential models, inverse functions, average rate of change, composition, and prediction
  • Distance, circles, dilations, surface area, sectors, cones, tangents, prisms, and polygon angles
  • Standard deviation, normal distributions, sample spaces, conditional data, correlation, sampling, confidence intervals, and skew
  • Quadratic revenue and profit, compound growth, depreciation, half-life, break-even models, and optimization

How to use this page

Complete one 10-question set at a time. Show intermediate steps, check units and signs, 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 California Department of Education guidance, official CAASPP blueprints, accommodations, or testing schedules.

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

Select a test

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

5. Test

California Grade 11 CAASPP Math Practice Questions

A 10-question California Grade 11 CAASPP Math practice set on modeling and applications, with answers and explanations.

Read each question carefully, choose one answer, and review the explanation after responding.

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

A business models revenue as R(x) = 18x − 0.04x². What is the revenue when x = 100?

Please select an answer first.

Correct answer: A

The correct answer is 1,400 dollars.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Substitute 100: 18(100) − 0.04(100²) = 1,800 − 400 = 1,400 dollars.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Substitute 100: 18(100) − 0.04(100²) = 1,800 − 400 = 1,400 dollars.

2. QuestionMultiple choice

An investment of 2,000 dollars grows at 5 percent annually. Which expression gives its value after t years?

Please select an answer first.

Correct answer: B

The correct answer is 2,000(1.05) to the power of t.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Annual growth multiplies the initial amount by 1.05 for each year.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Annual growth multiplies the initial amount by 1.05 for each year.

3. QuestionMultiple choice

A car costs 24,000 dollars and loses 12 percent of its value each year. What is its value after one year?

Please select an answer first.

Correct answer: C

The correct answer is 21,120 dollars.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: The value is 24,000 × 0.88 = 21,120 dollars after a 12 percent decrease.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The value is 24,000 × 0.88 = 21,120 dollars after a 12 percent decrease.

4. QuestionMultiple choice

A rectangular field has area 600 square meters and its length is 10 meters greater than its width. What is the width?

Please select an answer first.

Correct answer: D

The correct answer is 20 meters.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Let width be w; w(w + 10) = 600, so w² + 10w − 600 = 0 and w = 20 is the positive solution.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Let width be w; w(w + 10) = 600, so w² + 10w − 600 = 0 and w = 20 is the positive solution.

5. QuestionMultiple choice

A medication amount halves every 6 hours. If the initial amount is 160 milligrams, how much remains after 18 hours?

Please select an answer first.

Correct answer: A

The correct answer is 20 milligrams.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Eighteen hours is three half-life periods: 160 × (1/2)³ = 20 milligrams.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Eighteen hours is three half-life periods: 160 × (1/2)³ = 20 milligrams.

6. QuestionMultiple choice

A taxi charges 4 dollars plus 2.75 dollars per mile. A passenger pays 31.50 dollars. How many miles were traveled?

Please select an answer first.

Correct answer: B

The correct answer is 10 miles.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Solve 4 + 2.75m = 31.50; 2.75m = 27.50, so m = 10.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Solve 4 + 2.75m = 31.50; 2.75m = 27.50, so m = 10.

7. QuestionMultiple choice

A population is modeled by P(t) = 12,000e to the power of 0.03t. What does 0.03 represent?

Please select an answer first.

Correct answer: C

The correct answer is The continuous growth rate per time unit..

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: In an exponential model with e, the coefficient in the exponent is the continuous growth rate.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

In an exponential model with e, the coefficient in the exponent is the continuous growth rate.

8. QuestionMultiple choice

A manufacturer’s cost is C(x) = 500 + 7x and revenue is R(x) = 15x. How many units are needed to break even?

Please select an answer first.

Correct answer: D

The correct answer is About 63 units.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Set costs equal to revenue: 500 + 7x = 15x, so 500 = 8x and x = 62.5; 63 whole units are needed.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Set costs equal to revenue: 500 + 7x = 15x, so 500 = 8x and x = 62.5; 63 whole units are needed.

9. QuestionMultiple choice

A sample has 40 grams of a radioactive substance with a half-life of 10 years. Which expression gives the amount after t years?

Please select an answer first.

Correct answer: A

The correct answer is 40(1/2) to the power of t divided by 10.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Each 10-year period multiplies the amount by 1/2, so the exponent is t divided by 10.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Each 10-year period multiplies the amount by 1/2, so the exponent is t divided by 10.

10. QuestionMultiple choice

A company’s profit is modeled by P(x) = -2x² + 80x − 300. At what x-value is the profit maximized?

Please select an answer first.

Correct answer: B

The correct answer is x = 20.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: The vertex x-coordinate is -b ÷ 2a = -80 ÷ (2 × -2) = 20.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The vertex x-coordinate is -b ÷ 2a = -80 ÷ (2 × -2) = 20.

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Frequently asked questions about California Grade 11 CAASPP Math Practice Test

Which Math skills are covered?

The page covers algebra, functions, equations, geometry, statistics, probability, mathematical modeling, and optimization for Grade 11.

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 CAASPP questions?

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