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100+ Free New Hampshire NH SAS Mathematics Grade 7 Practice Questions

Prepare for the New Hampshire Statewide Assessment System Mathematics — Grade 7 exam with instant access — no signup required.

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Key Facts: New Hampshire NH SAS Mathematics Grade 7 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 7 test with 100 practice questions spread evenly across the four official reporting categories — Ratios and the Number System, Expressions and Equations, Geometry, and Statistics and Probability — each weighted 24-29% as the blueprint requires.

Sample New Hampshire NH SAS Mathematics Grade 7 Practice Questions

Try these sample questions to test your New Hampshire NH SAS Mathematics 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 flour to make 5 servings. How many cups of flour are needed per serving?
A.3/20 cup
B.15/4 cups
C.20/3 cups
D.3/4 cup
Explanation: Divide the total flour by the number of servings: (3/4) ÷ 5 = (3/4) × (1/5) = 3/20. So each serving requires 3/20 cup of flour, which is 0.15 cup.
2A 2.5-pound bag of apples costs $4.50. What is the unit price per pound?
A.$1.80
B.$1.50
C.$2.25
D.$0.56
Explanation: Unit price equals total cost divided by weight: 4.50 ÷ 2.5 = 1.80. Each pound of apples costs $1.80.
3Simplify the expression 5(x - 2) + 3x.
A.8x - 10
B.8x + 10
C.5x - 10
D.8x - 2
Explanation: Distribute first: 5(x - 2) = 5x - 10. Then combine like terms with the 3x: 5x + 3x = 8x, leaving 8x - 10.
4Two angles are supplementary. One angle measures 118°. What is the measure of the other angle?
A.62°
B.72°
C.28°
D.242°
Explanation: Supplementary angles have measures that add to 180°, so the other angle is 180° - 118° = 62°.
5A proportional relationship is graphed as a line through the origin and the point (2, 6). What is the constant of proportionality?
A.3
B.2
C.6
D.1/3
Explanation: For a proportional line through the origin, the constant k equals y/x for any point on it: 6 ÷ 2 = 3. So the relationship is y = 3x.
6A proportional graph passes through the point (4, 10). Which equation represents this relationship?
A.y = 2.5x
B.y = 10x
C.y = 0.4x
D.y = x + 6
Explanation: Find k = y/x = 10/4 = 2.5, then write y = kx. The equation y = 2.5x passes through (4, 10) because 2.5 × 4 = 10.
7Solve the equation (1/3)x + 4 = 10.
A.18
B.2
C.42
D.6
Explanation: Undo the addition first: (1/3)x = 10 - 4 = 6. Then undo the multiplication by multiplying both sides by 3: x = 18. Checking, (1/3)(18) + 4 = 6 + 4 = 10.
8A circle has an area of 36π square units. What is its radius?
A.6 units
B.18 units
C.36 units
D.12 units
Explanation: Area is A = πr², so πr² = 36π gives r² = 36 and r = 6 units. Dividing by π first isolates the squared radius.
9Which set of three side lengths can form a triangle?
A.6, 8, 13
B.2, 3, 6
C.4, 4, 9
D.1, 2, 3
Explanation: A triangle exists only when the two shorter sides add to more than the longest side. Here 6 + 8 = 14, which is greater than 13, so these lengths form a triangle.
10In a random sample of 60 students, 24 walk to school. Based on this sample, about how many of the school's 750 students walk to school?
A.300
B.240
C.450
D.180
Explanation: The sample proportion is 24/60 = 0.4, and a random sample supports applying that proportion to the whole population: 0.4 × 750 = 300 students.

About the New Hampshire NH SAS Mathematics Grade 7 Exam

The New Hampshire Statewide Assessment System (NH SAS) Mathematics assessment at Grade 7 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 four 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 7 Exam Content Outline

24-29%

Ratios and Proportional Relationships, and the Number System

Unit rates with complex fractions, constant of proportionality, multi-step percent problems, and the four operations on rational numbers.

24-29%

Expressions and Equations

Linear expressions with rational coefficients, rewriting expressions to reveal meaning, and multi-step equations and inequalities.

24-29%

Geometry

Scale drawings, triangle conditions, cross sections, circle area and circumference, angle relationships, and surface area and volume.

24-29%

Statistics and Probability

Sampling and population inference, comparing populations, probability of chance events, probability models, and compound events.

How to Pass the New Hampshire NH SAS Mathematics Grade 7 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 four 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 7 Study Tips from Top Performers

1Decide what the whole is before computing any percent increase, decrease, markup, or error.
2Check proportionality by testing whether every y divided by x gives the same constant.
3Keep track of signs by rewriting subtraction as adding the opposite.
4For circles, remember that circumference uses the radius once and area uses it squared.
5For compound events, decide first whether the events are independent, which depends on whether the item is replaced.

Frequently Asked Questions

What is the NH SAS Math Grade 7 test?

It is the New Hampshire Statewide Assessment System Mathematics assessment for Grade 7, a computer-adaptive test administered online through the NH SAS Portal (Cambium Assessment) each spring.

How is Grade 7 mathematics weighted?

The official blueprint splits Grade 7 evenly: Ratios and the Number System 24-29%, Expressions and Equations 24-29%, Geometry 24-29%, and Statistics and Probability 24-29%.

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.