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100+ Free New Hampshire NH SAS Mathematics Grade 3 Practice Questions

Prepare for the New Hampshire Statewide Assessment System Mathematics — Grade 3 exam with instant access — no signup required.

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2026 Statistics

Key Facts: New Hampshire NH SAS Mathematics Grade 3 Exam

NHDOE

State Agency

New Hampshire Department of Education, Office of Assessment

34 operational items (38-42 total)

Official Test Length

NH SAS 2022-23 Technical Report Vol. 2 Part 1

2 hr 15 min

Estimated Testing Time

NH SAS Test Administration Manual, Table 2

English and Spanish

Delivery Languages

NH SAS Test Administration Manual

100 practice questions

Practice Bank Size

OpenExamPrep

Prepare for the NH SAS Math Grade 3 test with 100 practice questions weighted to the official blueprint — Operations and Algebraic Thinking 29-38%, Base Ten and Fractions 38-47%, and Measurement, Data and Geometry 24-29% — with worked explanations for every answer.

Sample New Hampshire NH SAS Mathematics Grade 3 Practice Questions

Try these sample questions to test your New Hampshire NH SAS Mathematics Grade 3 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is 6 × 8?
A.48
B.42
C.56
D.14
Explanation: 6 × 8 means 6 groups of 8. Count by 8s six times: 8, 16, 24, 32, 40, 48. So 6 × 8 = 48.
2Which expression matches '4 groups of 9'?
A.4 × 9
B.4 + 9
C.9 ÷ 4
D.9 − 4
Explanation: '4 groups of 9' means equal groups, which is multiplication. So the expression is 4 × 9.
3What is 24 ÷ 6?
A.4
B.6
C.30
D.18
Explanation: 24 ÷ 6 asks how many groups of 6 fit into 24. Count 6, 12, 18, 24 — that is 4 groups, so 24 ÷ 6 = 4.
4Mara has 7 bags. Each bag holds 8 apples. How many apples does Mara have in all?
A.56
B.48
C.63
D.15
Explanation: 7 equal bags of 8 apples means 7 × 8. Skip count by 8 seven times: 8, 16, 24, 32, 40, 48, 56. Mara has 56 apples.
545 pencils are shared equally among 9 students. How many pencils does each student get?
A.5
B.9
C.36
D.54
Explanation: Sharing 45 into 9 equal groups is 45 ÷ 9. Since 9 × 5 = 45, each student gets 5 pencils.
6Find the unknown number: 5 × ? = 35.
A.7
B.5
C.30
D.40
Explanation: Think '5 times what equals 35.' Count by 5s: 5, 10, 15, 20, 25, 30, 35 — that is 7 fives. So ? = 7.
7Find the unknown number: ? ÷ 6 = 8.
A.48
B.14
C.2
D.54
Explanation: If ? ÷ 6 = 8, then ? = 6 × 8. Since 6 × 8 = 48, the unknown number is 48.
8Which equation shows the commutative property of multiplication?
A.4 × 6 = 6 × 4
B.(3 × 2) × 4 = 3 × (2 × 4)
C.5 × (3 + 2) = 5 × 3 + 5 × 2
D.7 × 1 = 7
Explanation: The commutative property says the order of the factors can switch and the product stays the same, as in 4 × 6 = 6 × 4.
9Use the distributive property to find 7 × 12.
A.84
B.70
C.14
D.19
Explanation: Split 12 into 10 + 2, so 7 × 12 = 7 × (10 + 2) = 7 × 10 + 7 × 2 = 70 + 14 = 84.
10Find 24 ÷ 8 by thinking of an unknown factor.
A.3
B.4
C.16
D.32
Explanation: Division can be solved as '8 times what equals 24?' Since 8 × 3 = 24, the missing factor is 3, so 24 ÷ 8 = 3.

About the New Hampshire NH SAS Mathematics Grade 3 Exam

The New Hampshire Statewide Assessment System (NH SAS) Mathematics assessment at Grade 3 measures proficiency on the New Hampshire College and Career Ready Standards. It is a computer-adaptive test administered online through the NH SAS Portal (Cambium Assessment) each spring, and NHDOE offers a Spanish presentation of the Mathematics session in addition to English. This 100-question practice bank is an English-language four-option MCQ study adaptation weighted to the official reporting categories.

Assessment

One online computer-adaptive Mathematics session delivered through the NH SAS Portal (Cambium Assessment), drawing 34 operational items from a grade-level pool plus 6-8 embedded field-test items. Grade 6 and above may include calculator and non-calculator segments. This local bank contains 100 English four-option practice MCQs across the three official reporting categories.

Time Limit

Not timed; NHDOE estimates 2 hours 15 minutes

Passing Score

No pass mark. Four achievement levels are reported (Level 1 through Level 4); Levels 3 and 4 count as proficient and above. Scale score ranges differ by grade and subject.

Exam Fee

No fee to students (New Hampshire Department of Education (NHDOE))

New Hampshire NH SAS Mathematics Grade 3 Exam Content Outline

29-38%

Operations and Algebraic Thinking

Products and quotients, multiplication and division word problems within 100, unknown-number equations, properties of operations, two-step problems, and multiplication-table patterns.

38-47%

Number and Operations — Base Ten and Fractions

Rounding, addition and subtraction within 1000, multiplying by multiples of 10, unit fractions and the number line, equivalence, and comparing fractions.

24-29%

Measurement and Data, and Geometry

Time and elapsed time, liquid volume and mass, bar graphs and line plots, area and perimeter, quadrilateral categories, and partitioning shapes.

How to Pass the New Hampshire NH SAS Mathematics Grade 3 Exam

What You Need to Know

  • Passing score: No pass mark. Four achievement levels are reported (Level 1 through Level 4); Levels 3 and 4 count as proficient and above. Scale score ranges differ by grade and subject.
  • Assessment: One online computer-adaptive Mathematics session delivered through the NH SAS Portal (Cambium Assessment), drawing 34 operational items from a grade-level pool plus 6-8 embedded field-test items. Grade 6 and above may include calculator and non-calculator segments. This local bank contains 100 English four-option practice MCQs across the three official reporting categories.
  • Time limit: Not timed; NHDOE estimates 2 hours 15 minutes
  • 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 Hampshire NH SAS Mathematics Grade 3 Study Tips from Top Performers

1Learn multiplication and division facts within 100 to fluency; most Grade 3 problems build on them.
2Draw equal groups or an array when a word problem does not say which operation to use.
3Round to estimate before you compute, then check whether your exact answer is close to the estimate.
4Use a number line for fractions so equivalence and comparison become visible rather than memorized.
5For area and perimeter, say out loud whether the question asks about covering a surface or going around it.

Frequently Asked Questions

What is the NH SAS Math Grade 3 test?

It is the New Hampshire Statewide Assessment System Mathematics assessment for Grade 3, a computer-adaptive test administered online through the NH SAS Portal (Cambium Assessment) each spring.

How many questions are on the real NH SAS Math test?

The published blueprint sets 34 operational items plus 6-8 embedded field-test items, about 38-42 items in total. Because the test is computer-adaptive, the exact items differ from student to student.

Is the NH SAS Math test only multiple choice?

No. Alongside multiple-choice and multiple-select items, students construct equations, plot on grids, and complete tables. This practice bank uses four-option MCQs as a study aid, not as a format simulation.

Is the NH SAS Math test available in Spanish?

Yes. NHDOE offers a Spanish presentation for the Mathematics and Science sessions, with a toggle back to English. This practice bank is English-language only.

How are NH SAS results reported?

There is no pass mark. NHDOE reports four achievement levels (Level 1 through Level 4), with Levels 3 and 4 counted as proficient and above.