Free Practice Questions for New Jersey NJGPA-Adaptive G11 Math

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Key Facts: New Jersey NJGPA-Adaptive G11 Math Exam

NJDOE

State Agency

New Jersey Department of Education, Office of Assessments

Cambium Assessment, Inc.

Test Provider

NJDOE, NJSLA-Adaptive and NJGPA-Adaptive FAQ

150 min (2 sessions)

Math Time

NJGPA-A and NJSLA-A Units Testing Times

Graphing (Desmos/TI84+)

Calculator

NJDOE Calculator Policy for Mathematics and Science

2 (Graduation Ready / Not Yet)

Performance Levels

NJDOE, NJGPA-Adaptive FAQ

English and Spanish

Languages

NJDOE, NJGPA-Adaptive FAQ

100 practice questions

Practice Bank Size

OpenExamPrep

Prepare for the NJGPA-Adaptive Grade 11 Mathematics component with 100 practice questions covering algebra, functions, geometry, and statistics, with worked calculations and detailed explanations.

Sample New Jersey NJGPA-Adaptive G11 Math Practice Questions

Try these sample questions to review concepts for the New Jersey NJGPA-Adaptive G11 Math exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1In a right triangle, the side opposite angle θ has length 6 and the hypotenuse has length 10. What is cos θ?

A.4/5

B.3/5

C.3/4

D.5/3

Explanation: Cosine is the adjacent side over the hypotenuse. The missing leg is found with the Pythagorean theorem: √(10² − 6²) = √64 = 8, so cos θ = 8/10 = 4/5.

2Triangle ABC with sides 6, 8, and 10 is similar to triangle DEF, whose two shortest sides measure 9 and 12. What is the length of the longest side of triangle DEF?

A.15

B.14

C.18

D.20

Explanation: Corresponding sides of similar triangles are proportional. Since 9 ÷ 6 = 1.5 and 12 ÷ 8 = 1.5, the scale factor is 1.5, so the longest side is 10 × 1.5 = 15.

3The sum of 1/2 and √2 is:

A.irrational

B.rational

C.an integer

D.zero

Explanation: A nonzero rational number plus an irrational number is always irrational. 1/2 is rational and √2 is irrational, so the sum cannot be written as a ratio of integers.

4Which statement about rational and irrational numbers is always true?

A.The sum of a nonzero rational number and an irrational number is irrational.

B.The sum of two irrational numbers is always irrational.

C.The product of a nonzero rational number and an irrational number is rational.

D.The product of two irrational numbers is always rational.

Explanation: Adding a nonzero rational to an irrational cannot produce a rational (if it did, the irrational could be written as a difference of rationals, a contradiction). The other statements have counterexamples.

5A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

A.15

B.21

C.√21

D.18

Explanation: By the Pythagorean theorem, the hypotenuse is √(9² + 12²) = √(81 + 144) = √225 = 15. This is a 3-4-5 triangle scaled by 3.

6Two similar polygons have areas in the ratio 9:25. What is the ratio of their corresponding side lengths?

A.3:5

B.9:25

C.81:625

D.18:50

Explanation: For similar figures, the ratio of areas equals the square of the ratio of corresponding sides. Taking the square root of 9:25 gives √9 : √25 = 3:5.

7In a 45-45-90 triangle, the hypotenuse has length 8√2. What is the length of each leg?

A.8

B.8√2

C.16

D.4√2

Explanation: In a 45-45-90 triangle the hypotenuse is the leg times √2. Dividing the hypotenuse by √2 gives 8√2 ÷ √2 = 8, so each leg measures 8.

8A car travels at 60 mph. Using 1 mile = 5280 ft and 1 hour = 3600 s, what is the speed in feet per second?

A.88

B.60

C.5280

D.3600

Explanation: 60 miles per hour = 60·5280 feet per 3600 seconds = 316800/3600 = 88 ft/s.

9In a 30-60-90 triangle, the hypotenuse has length 14. What is the length of the shorter leg?

A.7

B.7√3

C.14√3

D.28

Explanation: In a 30-60-90 triangle the shorter leg (opposite the 30° angle) is half the hypotenuse. Half of 14 is 7.

10A 25-foot ladder leans against a vertical wall with its base 7 feet from the wall. How high up the wall does the ladder reach?

A.24 feet

B.18 feet

C.26 feet

D.32 feet

Explanation: The ladder is the hypotenuse and the ground distance is one leg, so the height is √(25² − 7²) = √(625 − 49) = √576 = 24 feet.

About the New Jersey NJGPA-Adaptive G11 Math Exam

The New Jersey Graduation Proficiency Assessment-Adaptive (NJGPA-Adaptive) Grade 11 Mathematics component measures high-school number and quantity, algebra, functions, geometry, and statistics/probability proficiency on the 2023 New Jersey Student Learning Standards (NJSLS). It is administered online through the New Jersey Assessments Portal (Cambium Assessment, Inc.) each spring in two adaptive 75-minute sessions, and the Mathematics test is available in English and Spanish, reporting two performance levels (Graduation Ready and Not Yet Graduation Ready). This 100-question practice bank uses four-option MCQs, including worked calculations, as an English-language study adaptation.

Exam sponsor: New Jersey Department of Education (NJDOE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

One Mathematics unit administered in two adaptive 75-minute sessions (150 minutes total) with selected-response, multi-select, and technology-enhanced machine-scorable items only. Delivered online through the New Jersey Assessments Portal (Cambium Assessment, Inc.). Graphing calculators (Desmos graphing and TI84+) are embedded. This local bank contains 100 English four-option practice MCQs.

Time Limit

Mathematics 150 minutes (two 75-minute sessions)

Passing Score

Two performance levels are reported: 'Graduation Ready' and 'Not Yet Graduation Ready.' Cut scores are being established through standard setting in 2026 and adopted by the State Board of Education.

Exam / Certification Fees

No fee to students

Exam sponsor website

Reported exam pass rate: Not applicable (two performance levels are reported). Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

0-2 of 40 items (aggregate reporting only)

Number & Quantity

Rational/irrational number properties and quantitative reasoning with units.

10-12 of 40 items (Algebra 1 section)

Algebra

Expressions, polynomials, zeros/factors, equations/inequalities, and systems.

10-12 of 40 items (Algebra 1 section)

Functions

Function notation, key features, linear/quadratic/exponential models, and transformations.

16-20 of 40 items (Geometry section)

Geometry

Congruence, theorems, right-triangle trigonometry, coordinate proofs, and volume.

0-2 of 40 items (aggregate reporting only)

Statistics & Probability

Data display, scatter plots/line of fit, correlation, and statistical inference.

Preparing for the New Jersey NJGPA-Adaptive G11 Math Exam

What You Need to Know

Passing score: Two performance levels are reported: 'Graduation Ready' and 'Not Yet Graduation Ready.' Cut scores are being established through standard setting in 2026 and adopted by the State Board of Education.
Assessment: One Mathematics unit administered in two adaptive 75-minute sessions (150 minutes total) with selected-response, multi-select, and technology-enhanced machine-scorable items only. Delivered online through the New Jersey Assessments Portal (Cambium Assessment, Inc.). Graphing calculators (Desmos graphing and TI84+) are embedded. This local bank contains 100 English four-option practice MCQs.
Time limit: Mathematics 150 minutes (two 75-minute sessions)
Exam / certification fees: No fee to students Official sources

Using Our Practice Resources

Work through all 100 available questions
Review every answer and explanation
Track weak areas and revisit them
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New Jersey NJGPA-Adaptive G11 Math: Suggested Study Strategy

1Distribute the negative sign across every term when subtracting polynomials.

2Match a graph's key features (intercepts, vertex, asymptote) to its equation type before calculating.

3Solve a system by substitution when one equation is already solved for a variable; use elimination when terms match.

4In a right triangle, label opposite/adjacent/hypotenuse before applying a trig ratio.

5On scatter-plot items, decide whether the association is linear/curved before fitting a model.

Frequently Asked Questions

What is the NJGPA-Adaptive Grade 11 Mathematics component?

It is the New Jersey Graduation Proficiency Assessment-Adaptive Grade 11 Mathematics component, administered online through the New Jersey Assessments Portal (Cambium Assessment, Inc.) each spring in two 75-minute adaptive sessions of machine-scorable items.

Are calculators allowed on the NJGPA-Adaptive Grade 11 Math test?

Yes. Students have access to graphing calculators (Desmos graphing and TI84+) embedded in the testing platform.

How is the NJGPA-Adaptive Grade 11 Math scored?

It reports two performance levels: 'Graduation Ready' and 'Not Yet Graduation Ready.' Cut scores are being established through standard setting in 2026 and adopted by the State Board of Education.

Is the NJGPA-Adaptive Grade 11 Math available in Spanish?

Yes. The mathematics component is available in English and Spanish. The ELA component is English only.

Is this practice bank affiliated with NJDOE?

No. This is an independent study resource covering topics from the public 2023 NJSLS-Math. It uses four-option MCQs as a study adaptation; it is not an official NJGPA-Adaptive product or format simulation.