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100+ Free New Hampshire NH SAS Mathematics Grade 4 Practice Questions

Prepare for the New Hampshire Statewide Assessment System Mathematics — Grade 4 exam with instant access — no signup required.

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2026 Statistics

Key Facts: New Hampshire NH SAS Mathematics Grade 4 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 4 test with 100 practice questions weighted to the official blueprint — Operations and Algebraic Thinking 24-32%, Base Ten and Fractions 44-53%, and Measurement, Data and Geometry 24-29% — with worked explanations for every answer.

Sample New Hampshire NH SAS Mathematics Grade 4 Practice Questions

Try these sample questions to test your New Hampshire NH SAS Mathematics Grade 4 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A red rope is 24 inches long and a blue rope is 6 inches long. The equation 24 = 6 × 4 shows that the red rope is how many times as long as the blue rope?
A.4
B.6
C.24
D.30
Explanation: The equation 24 = 6 × 4 means 24 is 6 groups of 4, so the red rope is 4 times as long as the blue rope. Divide 24 by 6 to confirm: 24 ÷ 6 = 4.
2A sandbox holds 48 pounds of sand. A bucket holds 6 pounds of sand. The sandbox holds how many times as much sand as the bucket?
A.8
B.42
C.54
D.6
Explanation: To find how many times as much, divide the sandbox amount by the bucket amount: 48 ÷ 6 = 8. The sandbox holds 8 times as much sand as the bucket.
3Maria has 9 stickers. Lan has 5 times as many stickers as Maria. How many stickers does Lan have?
A.45
B.14
C.54
D.36
Explanation: Lan has 5 times as many as Maria's 9 stickers, so multiply 9 × 5 = 45. Lan has 45 stickers.
4A store has 144 pencils. It sells 38 pencils on Monday and 47 pencils on Tuesday. How many pencils remain?
A.59
B.61
C.73
D.229
Explanation: First find the total sold: 38 + 47 = 85. Then subtract from the starting amount: 144 − 85 = 59. There are 59 pencils remaining.
587 students are going on a field trip. Each van holds 9 students. What is the fewest number of vans needed so every student can ride?
A.10
B.9
C.6
D.8
Explanation: Divide 87 by 9: 87 ÷ 9 = 9 with a remainder of 6. Nine vans hold 81 students, so one more van is needed for the remaining 6 students. The answer is 10 vans.
6A baker makes 12 trays of muffins with 8 muffins on each tray. She sells 75 muffins. How many muffins are left?
A.21
B.75
C.95
D.69
Explanation: First find the total muffins: 12 × 8 = 96. Then subtract the sold muffins: 96 − 75 = 21. There are 21 muffins left.
7A school packs 245 apples into bags of 8. How many full bags can be made, and how many apples are left over?
A.30 full bags, 5 apples left
B.31 full bags, 0 apples left
C.30 full bags, 8 apples left
D.31 full bags, 5 apples left
Explanation: Divide 245 by 8: 8 × 30 = 240, and 245 − 240 = 5, so the quotient is 30 with a remainder of 5. There are 30 full bags and 5 apples left over.
8Which is a factor pair of 36?
A.4 and 9
B.5 and 7
C.8 and 4
D.10 and 3
Explanation: A factor pair multiplies to give the number. Check 4 × 9 = 36, so 4 and 9 are a factor pair of 36.
9Which number is a multiple of 7?
A.42
B.37
C.45
D.50
Explanation: A multiple of 7 is the result of multiplying 7 by a whole number. Check: 7 × 6 = 42, so 42 is a multiple of 7.
10Which number is prime?
A.13
B.15
C.21
D.27
Explanation: A prime number has exactly two factors: 1 and itself. The number 13 has only 1 and 13 as factors, so it is prime.

About the New Hampshire NH SAS Mathematics Grade 4 Exam

The New Hampshire Statewide Assessment System (NH SAS) Mathematics assessment at Grade 4 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. 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 4 Exam Content Outline

24-32%

Operations and Algebraic Thinking

Multiplicative comparison, multistep problems including remainders, factor pairs, prime and composite numbers, and number patterns.

44-53%

Number and Operations — Base Ten and Fractions

Place value to one million, rounding, multi-digit arithmetic, equivalent and comparing fractions, adding and subtracting like denominators, multiplying fractions by whole numbers, and decimal notation.

24-29%

Measurement and Data, and Geometry

Unit conversion, area and perimeter, line plots with fractions, angle measure and additive angles, lines and angles, classifying triangles and quadrilaterals, and line symmetry.

How to Pass the New Hampshire NH SAS Mathematics Grade 4 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. 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 4 Study Tips from Top Performers

1Translate 'times as many' into a multiplication equation before doing any arithmetic.
2In remainder problems, decide what the remainder means in context before choosing the answer.
3Use a common denominator or a benchmark such as 1/2 when comparing fractions.
4Convert units to the same size before adding or comparing measurements.
5Estimate first on multi-digit multiplication so an unreasonable answer stands out.

Frequently Asked Questions

What is the NH SAS Math Grade 4 test?

It is the New Hampshire Statewide Assessment System Mathematics assessment for Grade 4, 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.