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100+ Free New Jersey NJSLA-Adaptive Math Grade 7 Practice Questions

Prepare for the New Jersey Student Learning Assessments-Adaptive Mathematics — Grade 7 exam with instant access — no signup required.

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Key Facts: New Jersey NJSLA-Adaptive Math Grade 7 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

Four-function (Desmos/TI108)

Calculator

NJDOE Calculator Policy for Mathematics and Science

English and Spanish

Languages

NJDOE NJSLA-Adaptive and NJGPA-Adaptive FAQ

100 practice questions

Practice Bank Size

OpenExamPrep

Prepare for the NJSLA-Adaptive Math Grade 7 test with 100 practice questions covering proportional reasoning, rational numbers, two-step equations, geometry, and probability, with worked calculations and detailed explanations.

Sample New Jersey NJSLA-Adaptive Math Grade 7 Practice Questions

Try these sample questions to test your New Jersey NJSLA-Adaptive Math Grade 7 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A recipe uses 3/4 cup of sugar for every 1/2 cup of butter. What is the unit rate of cups of sugar per cup of butter?
A.1.5 cups of sugar per cup of butter
B.2/3 cup of sugar per cup of butter
C.3/8 cup of sugar per cup of butter
D.1.25 cups of sugar per cup of butter
Explanation: To find cups of sugar per cup of butter, divide sugar by butter: (3/4) ÷ (1/2) = (3/4) × (2/1) = 6/4 = 3/2 = 1.5 cups of sugar per cup of butter.
2A runner completes 5/3 miles in 1/4 hour. What is the runner's speed in miles per hour?
A.20/3 miles per hour
B.5/12 miles per hour
C.4/3 miles per hour
D.5/7 miles per hour
Explanation: Speed equals distance divided by time, so (5/3) ÷ (1/4) = (5/3) × 4 = 20/3 miles per hour.
3The table shows x: 2, 4, 6 and y: 7, 14, 21. What is the constant of proportionality?
A.3.5
B.7
C.2
D.14
Explanation: The constant of proportionality is the ratio y/x for any row: 7/2 = 3.5, and 14/4 and 21/6 also equal 3.5, confirming the constant is 3.5.
4Which graph represents a proportional relationship?
A.A straight line passing through the origin
B.A straight line with a y-intercept of 3
C.A curved line passing through the origin
D.A straight line with a negative slope not through the origin
Explanation: A proportional relationship has equation y = kx, whose graph is a straight line passing through the origin (0,0) with no y-intercept.
5A proportional relationship has the equation y = 4.5x. What does the point (1, 4.5) represent?
A.The unit rate is 4.5
B.The y-intercept is 4.5
C.The total for x = 4.5 is 1
D.The x-intercept is 4.5
Explanation: In the equation y = kx, the point (1, k) represents the unit rate; here (1, 4.5) means when x = 1, y = 4.5, so the unit rate is 4.5.
6A pair of sneakers originally priced at $80 is marked up to $92. What is the percent increase?
A.15%
B.12%
C.13%
D.18%
Explanation: The increase is 92 - 80 = 12; the percent increase is the increase divided by the original price: 12/80 = 0.15 = 15%.
7A water tank level drops from 50 gallons to 42 gallons. What is the percent decrease?
A.16%
B.8%
C.19%
D.14%
Explanation: The decrease is 50 - 42 = 8; the percent decrease is the decrease divided by the original amount: 8/50 = 0.16 = 16%.
8A student measures the length of a board as 64 cm, but the actual length is 70 cm. What is the percent error?
A.about 8.6%
B.about 6%
C.about 12.5%
D.about 9.4%
Explanation: Percent error equals the absolute difference divided by the actual value: |64 - 70|/70 = 6/70 ≈ 0.0857, or about 8.6%.
9A jacket costs $60 before tax. Sales tax is 7%. What is the total cost including tax?
A.$64.20
B.$67.00
C.$60.42
D.$64.00
Explanation: Sales tax is 7% of $60: 0.07 × 60 = $4.20; adding the tax to the price gives 60 + 4.20 = $64.20.
10A salesperson earns a 6% commission on sales of $4,500. How much is the commission?
A.$270
B.$27
C.$2,700
D.$270.00 only on the first $1,000
Explanation: Commission is 6% of total sales: 0.06 × 4,500 = $270.

About the New Jersey NJSLA-Adaptive Math Grade 7 Exam

The New Jersey Student Learning Assessments-Adaptive (NJSLA-Adaptive) Mathematics assessment at Grade 7 measures proportional reasoning, rational-number operations, two-step equations, geometry, and 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. This 100-question practice bank uses four-option MCQs, including worked calculations, as an English-language study adaptation.

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.). A basic four-function calculator (Desmos four-function and TI108) is embedded for grade 7. This local bank contains 100 English four-option practice MCQs.

Time Limit

Mathematics 150 minutes (two 75-minute sessions)

Passing Score

No pass/fail mark. Five performance levels are reported (Level 1 through Level 5). Cut scores are being established through standard setting in 2026 and adopted by the State Board of Education.

Exam Fee

No fee to students (New Jersey Department of Education (NJDOE))

New Jersey NJSLA-Adaptive Math Grade 7 Exam Content Outline

NJSLS 7.RP strand

Ratios & Proportional Relationships

Unit rates with fractions, proportional relationships, and multistep ratio and percent problems.

NJSLS 7.NS strand

The Number System

Operations with rational numbers, properties of operations, fraction-decimal conversion, and real-world rational-number problems.

NJSLS 7.EE strand

Expressions & Equations

Equivalent expressions and two-step equations and inequalities in real-life contexts.

NJSLS 7.G strand

Geometry

Scale drawings, cross sections, area/circumference, volume/surface area, and angle relationships.

NJSLS 7.SP strand

Statistics & Probability

Random sampling, population inferences, comparing distributions, and probability models including compound events.

How to Pass the New Jersey NJSLA-Adaptive Math Grade 7 Exam

What You Need to Know

  • Passing score: No pass/fail mark. Five performance levels are reported (Level 1 through Level 5). 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.). A basic four-function calculator (Desmos four-function and TI108) is embedded for grade 7. This local bank contains 100 English four-option practice MCQs.
  • Time limit: Mathematics 150 minutes (two 75-minute sessions)
  • Exam fee: No fee to students

Keys to Passing

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

New Jersey NJSLA-Adaptive Math Grade 7 Study Tips from Top Performers

1Test whether two quantities are proportional by checking that the ratio stays constant.
2For percent problems, identify the whole, the part, and the percent, then choose the right operation.
3Combine opposite-signed numbers by thinking of gains and losses on a number line.
4Undo a two-step equation by reversing the order of operations: subtract or add first, then multiply or divide.
5List the sample space for compound events to count favorable outcomes accurately.

Frequently Asked Questions

What is the NJSLA-Adaptive Mathematics Grade 7 test?

It is the New Jersey Student Learning Assessments-Adaptive Mathematics assessment for Grade 7, 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 NJSLA-Adaptive Math Grade 7 test?

Yes. Grade 7 students have access to a basic four-function calculator (Desmos four-function and TI108) embedded in the testing platform.

How many questions are on the real NJSLA-Adaptive Math test?

Because the test is computer-adaptive, the exact items vary by student. The assessment is one Mathematics unit in two 75-minute sessions of machine-scorable selected-response, multi-select, and technology-enhanced items, with no extended-response items. Official blueprint item counts are set during standard setting in 2026.

Is the NJSLA-Adaptive Math test available in Spanish?

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

Is this practice bank affiliated with NJDOE?

No. This is an independent study resource aligned to the public 2023 NJSLS. It uses four-option MCQs as a study adaptation; it is not an official NJSLA-Adaptive product or format simulation.