100+ Free New Hampshire NH SAS Mathematics Grade 6 Practice Questions

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Key Facts: New Hampshire NH SAS Mathematics Grade 6 Exam

NHDOE

State Agency

New Hampshire Department of Education, Office of Assessment

34 operational items (about 38 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 6 test with 100 practice questions weighted to the official blueprint — Ratios and the Number System 38-47%, Expressions and Equations 29-38%, and Geometry with Statistics 24% — with worked explanations for every answer.

Sample New Hampshire NH SAS Mathematics Grade 6 Practice Questions

Try these sample questions to test your New Hampshire NH SAS Mathematics Grade 6 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A bakery uses 3 cups of flour to make 12 muffins. What is the ratio of cups of flour to muffins, written in simplest form?

A.3:12

B.1:4

C.4:1

D.12:3

Explanation: The ratio 3 cups to 12 muffins is 3:12. Dividing both terms by the greatest common factor 3 gives the simplest form 1:4, meaning 1 cup of flour for every 4 muffins.

2In a class, the ratio of boys to girls is 5:4. Which description matches this ratio?

A.For every 4 boys there are 5 girls

B.For every 5 boys there are 4 girls

C.There are 5 girls and 4 boys in the class

D.There are 9 boys in the class

Explanation: The ratio 5:4 compares boys to girls in that order, so for every 5 boys there are 4 girls. The first number always corresponds to the first quantity named.

3A car travels 150 miles in 3 hours. What is the unit rate in miles per hour?

A.50 mph

B.45 mph

C.60 mph

D.450 mph

Explanation: The unit rate is found by dividing distance by time: 150 ÷ 3 = 50. So the car travels at a rate of 50 miles per hour.

4A store sells 8 pens for $4.00. What is the unit price per pen?

A.$0.50

B.$0.80

C.$2.00

D.$0.25

Explanation: Divide the total price by the number of pens: 4.00 ÷ 8 = 0.50. Each pen costs $0.50.

5Which ratio is equivalent to 6:8?

A.3:4

B.4:3

C.6:14

D.12:10

Explanation: Divide both terms of 6:8 by their greatest common factor 2 to get 3:4. Equivalent ratios come from multiplying or dividing both terms by the same nonzero number.

6A recipe uses 2 cups of sugar for every 5 cups of flour. How many cups of sugar are needed for 15 cups of flour?

A.6 cups

B.5 cups

C.7.5 cups

D.30 cups

Explanation: The ratio 2:5 must be scaled so the flour is 15. Since 15 ÷ 5 = 3, multiply the sugar by 3: 2 × 3 = 6 cups of sugar.

7A runner jogs 3 miles in 24 minutes. At this constant speed, how far does the runner jog in 40 minutes?

A.5 miles

B.4 miles

C.6 miles

D.8 miles

Explanation: Find the unit rate: 24 ÷ 3 = 8 minutes per mile, so in 40 minutes the runner covers 40 ÷ 8 = 5 miles. Equivalently, scale 3:24 by 40/24 = 5/3 to get 5 miles.

8A cyclist rides 21 miles in 1.5 hours. What is the cyclist's unit rate in miles per hour?

A.14 mph

B.15 mph

C.12 mph

D.31.5 mph

Explanation: Divide distance by time: 21 ÷ 1.5 = 21 ÷ 3/2 = 21 × 2/3 = 14. The cyclist rides at 14 miles per hour.

9What is 25% of 80?

A.20

B.25

C.40

D.16

Explanation: Convert 25% to the fraction 25/100 = 1/4, then multiply by 80: 80 ÷ 4 = 20. So 25% of 80 is 20.

10A jacket originally priced at $60 is on sale for 30% off. What is the dollar amount of the discount?

A.$18

B.$30

C.$42

D.$20

Explanation: The discount is 30% of $60. Convert 30% to 0.30 and multiply: 0.30 × 60 = 18. The discount is $18.

About the New Hampshire NH SAS Mathematics Grade 6 Exam

The New Hampshire Statewide Assessment System (NH SAS) Mathematics assessment at Grade 6 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, may include calculator and non-calculator segments, and is offered in Spanish as well as 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 plus embedded field-test items. Grade 6 sessions may be split into calculator and non-calculator segments that cannot be revisited once submitted. 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 6 Exam Content Outline

38-47%

Ratios and Proportional Relationships, and the Number System

Ratio language, unit rates and pricing, equivalent ratios, percent of a quantity, dividing fractions, decimal computation, GCF and LCM, integers and absolute value, and the coordinate plane.

29-38%

Expressions and Equations

Exponents, evaluating expressions, parts of an expression, equivalent expressions, one-step equations, writing expressions from words, inequalities, and dependent and independent variables.

24%

Geometry, and Statistics and Probability

Area of triangles and polygons, volume with fractional edges, polygons on the coordinate plane, nets and surface area, statistical questions, center and variability, dot plots, histograms, and box plots.

How to Pass the New Hampshire NH SAS Mathematics Grade 6 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 plus embedded field-test items. Grade 6 sessions may be split into calculator and non-calculator segments that cannot be revisited once submitted. 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 6 Study Tips from Top Performers

1Write ratios in the order the question states them, then scale both quantities by the same factor.

2Convert a percent problem into a part-over-whole comparison before choosing an operation.

3For integers, treat absolute value as distance from zero so negative signs stop being confusing.

4Check equivalent expressions by substituting a value such as 2 into both forms.

5For statistics, ask first whether a question anticipates variability; that decides whether it is statistical.

Frequently Asked Questions

What is the NH SAS Math Grade 6 test?

It is the New Hampshire Statewide Assessment System Mathematics assessment for Grade 6, a computer-adaptive test administered online through the NH SAS Portal (Cambium Assessment) each spring.

Can Grade 6 students use a calculator?

Grade 6 mathematics sessions may include a segment with an embedded calculator and a separate segment where no calculator is available. A student cannot return to a segment once it has been submitted.

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

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

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.

100+ Free New Hampshire NH SAS Mathematics Grade 6 Practice Questions

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