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100+ Free New Mexico NM-MSSA Math Grade 5 Practice Questions

Prepare for the New Mexico Measures of Student Success & Achievement — Mathematics, Grade 5 exam with instant access — no signup required.

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Key Facts: New Mexico NM-MSSA Math Grade 5 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

4-function (Gr 3-6, 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 5 test with 100 practice questions covering place value, decimal operations, fractions, volume, and the coordinate plane, with worked calculations and detailed explanations.

Sample New Mexico NM-MSSA Math Grade 5 Practice Questions

Try these sample questions to test your New Mexico NM-MSSA Math Grade 5 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Evaluate the expression (8 + 4) × 3.
A.36
B.20
C.44
D.24
Explanation: Parentheses first: 8 + 4 = 12. Then multiply: 12 × 3 = 36.
2Which expression is equivalent to 'add 7 and 6, then multiply by 4'?
A.(7 + 6) × 4
B.7 + 6 × 4
C.4 × 7 + 6
D.7 × 6 + 4
Explanation: The sum 7 + 6 must be grouped first, then multiplied by 4: (7 + 6) × 4 = 13 × 4 = 52.
3Evaluate 2 × (9 − 5) + 6.
A.14
B.24
C.10
D.18
Explanation: Parentheses: 9 − 5 = 4. Multiply: 2 × 4 = 8. Add: 8 + 6 = 14.
4Mia writes the expression 3 × (4 + 5). What value does it have?
A.27
B.17
C.32
D.12
Explanation: 4 + 5 = 9 inside the parentheses, then 3 × 9 = 27.
5Which expression is equal to 'half the sum of 10 and 14'?
A.(10 + 14) ÷ 2
B.10 + 14 ÷ 2
C.10 ÷ 2 + 14
D.14 ÷ 2 + 10
Explanation: Sum first: 10 + 14 = 24; half of it: 24 ÷ 2 = 12. The grouped expression is (10 + 14) ÷ 2.
6A pattern starts at 0 and uses the rule 'Add 4'. A second pattern starts at 0 and uses the rule 'Add 12'. What is the relationship between corresponding terms?
A.Each term in the second is 3 times the first
B.Each term in the second is 4 times the first
C.Each term in the second is 12 more than the first
D.Each term in the second is 8 more than the first
Explanation: First pattern: 0, 4, 8, 12, 16... Second: 0, 12, 24, 36, 48... Each second-pattern term is 12/4 = 3 times the corresponding first-pattern term.
7Pattern A: 1, 3, 5, 7, 9... (rule Add 2). Pattern B: 3, 9, 15, 21, 27... (rule Add 6). What is the relationship between corresponding terms?
A.Each Pattern B term is 3 times the Pattern A term
B.Each Pattern B term is 2 times the Pattern A term
C.Each Pattern B term is 6 more than the Pattern A term
D.Each Pattern B term is 2 more than the Pattern A term
Explanation: Corresponding pairs: (1,3), (3,9), (5,15). 3÷1=3, 9÷3=3, 15÷5=3. Pattern B is always 3 times Pattern A.
8Using the rules 'Add 5' starting at 0 and 'Add 15' starting at 0, what are the first two corresponding ordered pairs (Pattern A, Pattern B)?
A.(0, 0) and (5, 15)
B.(0, 0) and (5, 5)
C.(5, 15) and (10, 30)
D.(0, 5) and (5, 15)
Explanation: Pattern A: 0, 5, 10... Pattern B: 0, 15, 30... First two corresponding pairs are (0, 0) and (5, 15).
9Evaluate the expression with brackets: [(6 + 2) × 3] − 10.
A.14
B.24
C.8
D.20
Explanation: Inner parentheses: 6 + 2 = 8. Brackets: 8 × 3 = 24. Subtract: 24 − 10 = 14.
10Which expression has the greatest value?
A.(4 + 5) × 6
B.4 + (5 × 6)
C.4 × 5 + 6
D.4 × (5 + 6)
Explanation: Compute each: (4+5)×6 = 9×6 = 54; 4+(5×6) = 4+30 = 34; 4×5+6 = 20+6 = 26; 4×(5+6) = 4×11 = 44. Greatest is 54 — option (4+5)×6.

About the New Mexico NM-MSSA Math Grade 5 Exam

The New Mexico Measures of Student Success & Achievement (NM-MSSA) Mathematics assessment at Grade 5 measures place value, decimal and fraction operations, volume, the coordinate plane, and geometry 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 5 only a four-function 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 5 Exam Content Outline

NM CCSS 5.OA

Operations & Algebraic Thinking

Parentheses/brackets/braces, writing and interpreting expressions, and two numerical patterns.

NM CCSS 5.NBT and 5.NF

Number & Operations in Base Ten / Fractions

Decimal place value, decimal operations, multi-digit multiplication and division, and fraction operations including division of unit fractions.

NM CCSS 5.MD and 5.G

Measurement & Data / Geometry

Unit conversion, line plots, volume as packing and by formula, the coordinate plane, and classifying two-dimensional figures.

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 5 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 5 only a four-function 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 5 Study Tips from Top Performers

1Line up decimal points by place value when adding, subtracting, multiplying, and dividing decimals.
2Find a common denominator before adding or subtracting fractions with unlike denominators.
3Think of volume as filling a box with unit cubes, then check with V = l × w × h.
4Plot points on the coordinate plane as (horizontal, vertical) — right then up.
5Use parentheses to show the order of operations when writing a numerical expression.

Frequently Asked Questions

What is the NM-MSSA Mathematics Grade 5 test?

It is the New Mexico Measures of Student Success & Achievement Mathematics assessment for Grade 5, 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 5 test?

Session 1 is non-calculator. In Session 2, grade 5 students may use only a four-function calculator (with square root and percentage functions).

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.