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100+ Free New Mexico NM-MSSA Math Grade 7 Practice Questions

Prepare for the New Mexico Measures of Student Success & Achievement — Mathematics, Grade 7 exam with instant access — no signup required.

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Key Facts: New Mexico NM-MSSA Math Grade 7 Exam

NMPED

State Agency

New Mexico Public Education Department, Assessment Bureau

Cognia (iTester)

Test Provider

NMPED NM-MSSA Resources; Cognia Help & Support

120 min (2 sessions)

Math Time

NM-MSSA Test Coordinator's Manual

Scientific (Gr 7-8, Session 2)

Calculator

NM-MSSA Calculator Policy (TCM)

English and Spanish

Languages

NM-MSSA Fact Sheet 24-25

100 practice questions

Practice Bank Size

OpenExamPrep

Prepare for the NM-MSSA Math Grade 7 test with 100 practice questions covering proportional relationships, rational numbers, expressions, geometry, and probability, with worked calculations and detailed explanations.

Sample New Mexico NM-MSSA Math Grade 7 Practice Questions

Try these sample questions to test your New Mexico NM-MSSA 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. How many cups of sugar are needed for 1 cup of butter?
A.1.5
B.0.667
C.0.375
D.1.25
Explanation: Divide the sugar by the butter: (3/4) ÷ (1/2) = (3/4) × (2/1) = 6/4 = 3/2 = 1.5 cups of sugar per cup of butter.
2A runner covers 7/8 mile in 1/4 hour. What is the runner's speed in miles per hour?
A.3.5
B.0.875
C.1.125
D.0.219
Explanation: Divide distance by time: (7/8) ÷ (1/4) = (7/8) × 4 = 28/8 = 3.5 miles per hour.
3Two-thirds pound of cheese costs $4. What is the cost per pound?
A.$6
B.$2.67
C.$1.33
D.$8
Explanation: Divide cost by weight: 4 ÷ (2/3) = 4 × (3/2) = 12/2 = $6 per pound.
4A table shows x-values 2, 4, 6, 8 and y-values 5, 10, 15, 20. Is y proportional to x, and if so, what is the constant of proportionality?
A.Yes, the constant of proportionality is 2.5
B.Yes, the constant of proportionality is 5
C.No, the ratios are not equal
D.Yes, the constant of proportionality is 0.4
Explanation: Check each ratio: 5/2 = 2.5, 10/4 = 2.5, 15/6 = 2.5, 20/8 = 2.5. All ratios equal 2.5, so y is proportional to x with k = 2.5.
5A table shows x-values 3, 5, 8 and y-values 7.5, 12.5, 20. What is the constant of proportionality?
A.2.5
B.0.4
C.3
D.1.5
Explanation: Compute each ratio: 7.5/3 = 2.5, 12.5/5 = 2.5, 20/8 = 2.5. The constant ratio is 2.5, so k = 2.5.
6The equation y = 3x represents a proportional relationship. What is the constant of proportionality?
A.3
B.1/3
C.0
D.x
Explanation: In the form y = kx, the constant of proportionality is the coefficient of x. Here k = 3.
7A proportional relationship contains the points (2, 5), (4, 10), and (6, 15). What is the constant of proportionality?
A.2.5
B.0.4
C.2
D.5
Explanation: Use any point: 5/2 = 2.5. Check: 10/4 = 2.5 and 15/6 = 2.5. The constant of proportionality is 2.5.
8A restaurant bill is $28. How much is a 15% tip?
A.$4.20
B.$2.80
C.$5.60
D.$4.80
Explanation: Multiply 0.15 × 28 = 4.20. A 15% tip on a $28 bill is $4.20.
9What is 20% of 45?
A.9
B.0.9
C.25
D.4.5
Explanation: Multiply 0.20 × 45 = 9. Twenty percent of 45 is 9.
10A $32 jacket is on sale for 25% off. What is the sale price?
A.$24
B.$8
C.$40
D.$25
Explanation: Find the discount: 0.25 × 32 = 8. Subtract: 32 - 8 = $24.

About the New Mexico NM-MSSA Math Grade 7 Exam

The New Mexico Measures of Student Success & Achievement (NM-MSSA) Mathematics assessment at Grade 7 measures proportional relationships, rational numbers, expressions and equations, geometry, and probability proficiency on the New Mexico Common Core State Standards. It is administered online through Cognia iTester each spring in two 60-minute fixed-form sessions (non-calculator and calculator), 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

Two fixed-form 60-minute sessions (120 minutes total): a non-calculator session and a calculator session, with selected-response, multi-select, technology-enhanced, and constructed-response items aligned to the NM CCSS and the Standards for Mathematical Practice. In grade 7 a scientific calculator is permitted in the calculator session. Delivered online through Cognia iTester. This local bank contains 100 English four-option practice MCQs.

Time Limit

Mathematics 120 minutes (two 60-minute sessions: non-calculator and calculator)

Passing Score

No pass/fail mark. Four performance levels are reported: Level 1 Novice, Level 2 Nearing Proficiency, Level 3 Proficient, and Level 4 Advanced. Proficient or Advanced indicates mastery of grade-level expectations.

Exam Fee

No fee to students (New Mexico Public Education Department (NMPED))

New Mexico NM-MSSA Math Grade 7 Exam Content Outline

NM CCSS 7.RP

Ratios & Proportional Relationships

Unit rates with fractions, proportional relationships, constant of proportionality, percent problems, and scale drawings.

NM CCSS 7.NS and 7.EE

The Number System / Expressions & Equations

Rational-number operations, decimal conversions, linear expressions, and two-step equations and inequalities.

NM CCSS 7.G and 7.SP

Geometry / Statistics & Probability

Scale drawings, angle problems, circle area and circumference, surface area and volume, sampling, comparative inferences, and probability of compound events.

Mathematical Practices (Grades 3-8)

Mathematical Practices

Problem solving, reasoning and argument, modeling, and structure and repeated reasoning.

How to Pass the New Mexico NM-MSSA Math Grade 7 Exam

What You Need to Know

  • Passing score: No pass/fail mark. Four performance levels are reported: Level 1 Novice, Level 2 Nearing Proficiency, Level 3 Proficient, and Level 4 Advanced. Proficient or Advanced indicates mastery of grade-level expectations.
  • Assessment: Two fixed-form 60-minute sessions (120 minutes total): a non-calculator session and a calculator session, with selected-response, multi-select, technology-enhanced, and constructed-response items aligned to the NM CCSS and the Standards for Mathematical Practice. In grade 7 a scientific calculator is permitted in the calculator session. Delivered online through Cognia iTester. This local bank contains 100 English four-option practice MCQs.
  • Time limit: Mathematics 120 minutes (two 60-minute sessions: non-calculator and calculator)
  • 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 Mexico NM-MSSA Math Grade 7 Study Tips from Top Performers

1Test whether two quantities are proportional by checking the ratio (unit rate) stays constant.
2For percent increase/decrease, find the amount of change first, then compare to the original.
3Combine like terms and apply the distributive property before solving a two-step equation.
4Use pi and the formulas for circumference (C = 2πr) and area (A = πr²) of a circle.
5For compound events, multiply probabilities when the events are independent.

Frequently Asked Questions

What is the NM-MSSA Mathematics Grade 7 test?

It is the New Mexico Measures of Student Success & Achievement Mathematics assessment for Grade 7, administered online through Cognia iTester each spring in two 60-minute fixed-form sessions (non-calculator and calculator) with selected-response, technology-enhanced, and constructed-response items.

Are calculators allowed on the NM-MSSA Math Grade 7 test?

Session 1 is non-calculator. In Session 2, grade 7 students may use a scientific calculator (grades 7-8 use scientific calculators; grades 3-6 use four-function).

Is the NM-MSSA Math test available in Spanish?

Yes. The Mathematics assessment is available in English and Spanish for qualifying English learners.

How are NM-MSSA results reported?

There is no pass/fail mark. NM-MSSA reports four performance levels: Level 1 Novice, Level 2 Nearing Proficiency, Level 3 Proficient, and Level 4 Advanced.

Is this practice bank affiliated with NMPED?

No. This is an independent study resource aligned to the public New Mexico Common Core State Standards. It uses four-option MCQs as a study adaptation; it is not an official NM-MSSA product or format simulation.