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100+ Free RISE Math Grade 5 Practice Questions

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Key Facts: RISE Math Grade 5 Exam

35-45 Items

The official Utah RISE Grade 5 Mathematics assessment features thirty-five to forty-five computer-adaptive test items delivered during spring statewide testing.

Utah State Board of Education

Untimed

Students are given untimed testing sessions with typical completion spanning sixty to ninety minutes so every student has adequate opportunity to demonstrate math mastery.

Utah State Board of Education RISE Guidelines

Level 3

Achieving Level 3 (Proficient) or Level 4 (Highly Proficient) indicates that a student meets or exceeds Utah Core Standards expectations for fifth-grade math.

Utah State Board of Education Assessment Reporting

5 Domains

The test measures student performance across numerical expressions, decimal place value, fraction operations, measurement volume data, and geometry coordinate plotting.

Utah Core Standards for Mathematics Grade 5

$0 Fee

The RISE assessment is administered free of charge to all public and charter school fifth-grade students across the state of Utah every spring.

Utah State Board of Education

100 Practice Qs

This OpenExamPrep practice bank provides one hundred original multiple-choice questions designed to reinforce 5th-grade mathematical reasoning and fluency.

OpenExamPrep Practice Bank

Official RISE Math Grade 5 evaluates 5th-grade math proficiency under Utah Core Standards. This 100-question practice bank provides an English-language MCQ study adaptation.

Sample RISE Math Grade 5 Practice Questions

Try these sample questions to test your RISE 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 numerical expression: 3 × (4 + 5).
A.27
B.17
C.24
D.32
Explanation: According to the order of operations, perform operations inside parentheses first: 4 + 5 = 9. Next, multiply by 3: 3 × 9 = 27.
2Which expression represents 'add 8 and 12, then multiply by 4'?
A.(8 + 12) × 4
B.8 + (12 × 4)
C.8 × 12 + 4
D.(8 × 4) + 12
Explanation: Parentheses indicate that 8 and 12 should be added first to get (8 + 12). Multiplying that sum by 4 gives (8 + 12) × 4.
3Evaluate the numerical expression: (15 - 3) ÷ 4 + 6.
A.9
B.12
C.7
D.15
Explanation: First calculate inside the parentheses: 15 - 3 = 12. Then divide by 4: 12 ÷ 4 = 3. Finally, add 6: 3 + 6 = 9.
4Compare Expression A: 12 × 5 and Expression B: 3 × (12 × 5). How does Expression B compare to Expression A?
A.Expression B is 3 times as large as Expression A
B.Expression B is 5 times as large as Expression A
C.Expression B is equal to Expression A
D.Expression B is 15 times as large as Expression A
Explanation: Expression B multiplies the entire quantity of Expression A (12 × 5) by 3. Without computing 60, we can see Expression B is 3 times as large as Expression A.
5Evaluate the numerical expression: 2 × (10 - 4) + 8.
A.20
B.16
C.24
D.14
Explanation: Solve inside parentheses first: 10 - 4 = 6. Then multiply: 2 × 6 = 12. Finally add 8: 12 + 8 = 20.
6Pattern X starts at 0 and adds 3. Pattern Y starts at 0 and adds 9. What is the relationship between the corresponding terms of Pattern Y and Pattern X?
A.Each term in Pattern Y is 3 times the corresponding term in Pattern X.
B.Each term in Pattern Y is 6 more than the corresponding term in Pattern X.
C.Each term in Pattern Y is 1/3 of the corresponding term in Pattern X.
D.Each term in Pattern Y is equal to the corresponding term in Pattern X.
Explanation: Pattern X terms are 0, 3, 6, 9, 12... Pattern Y terms are 0, 9, 18, 27, 36... Since 9 ÷ 3 = 3, 18 ÷ 6 = 3, and 27 ÷ 9 = 3, each term in Pattern Y is 3 times the corresponding term in Pattern X.
7Evaluate the expression: [4 × (2 + 6)] - 10.
A.22
B.18
C.26
D.32
Explanation: Start inside the innermost parentheses: 2 + 6 = 8. Next, evaluate the brackets: 4 × 8 = 32. Finally, subtract 10: 32 - 10 = 22.
8Solve: 48 ÷ (2 + 4) × 3.
A.24
B.4
C.8
D.72
Explanation: Evaluate parentheses first: 2 + 4 = 6. Moving left to right for division and multiplication: 48 ÷ 6 = 8, then 8 × 3 = 24.
9Which written phrase matches the numerical expression 5 × (14 - 6)?
A.Multiply 5 by the difference of 14 and 6
B.Subtract 6 from the product of 5 and 14
C.Multiply 5 by 14 and then subtract 6
D.Add 5 to the difference of 14 and 6
Explanation: The expression (14 - 6) represents the difference of 14 and 6. Multiplying 5 by that entire grouping is expressed as 'Multiply 5 by the difference of 14 and 6'.
10Evaluate the expression: 36 ÷ [(9 - 3) × 2].
A.3
B.12
C.6
D.9
Explanation: Work from inner parentheses outward: 9 - 3 = 6. Inside brackets: 6 × 2 = 12. Finally: 36 ÷ 12 = 3.

About the RISE Math Grade 5 Exam

Prepare for Utah RISE Grade 5 Mathematics with 100 practice questions. Master fraction operations, decimal place value, 3D volume calculations, and coordinate grid plotting.

Assessment

Computer-adaptive selected-response, equation-entry, and technology-enhanced tasks.

Time Limit

Untimed (~60-90 minutes typical)

Passing Score

Level 3 (Proficient)

Exam Fee

$0 (Free for Utah public school students) (Utah State Board of Education)

RISE Math Grade 5 Exam Content Outline

18%

Numerical Expressions and Patterns

Order of operations, bracketed expressions, numerical pattern generation, and ordered pair rules.

24%

Base Ten Place Value and Operations

Decimal place value to thousandths, multiplication/division of whole numbers and decimals, and powers of ten.

26%

Fraction Addition, Subtraction, Multiplication, and Division

Unlike denominator addition/subtraction, fraction multiplication/scaling, area of fraction rectangles, and unit fraction division.

18%

Measurement, Volume, and Data

Customary and metric unit conversions, line plots with fraction data, unit cube packing, and rectangular prism volume.

14%

Geometry and Coordinate Plane

Axis orientation, plotting ordered pairs, grid distances, and 2D polygon hierarchy classification.

How to Pass the RISE Math Grade 5 Exam

What You Need to Know

  • Passing score: Level 3 (Proficient)
  • Assessment: Computer-adaptive selected-response, equation-entry, and technology-enhanced tasks.
  • Time limit: Untimed (~60-90 minutes typical)
  • Exam fee: $0 (Free for Utah public school 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

RISE Math Grade 5 Study Tips from Top Performers

1Review order of operations (PEMDAS/GEMS) and practice evaluating expressions with parentheses, brackets, and braces.
2Master decimal place value shifts when multiplying or dividing by powers of 10 (10^1, 10^2, 10^3).
3Find common denominators using least common multiples before adding or subtracting fractions with unlike denominators.
4Remember that dividing a fraction by a whole number makes a smaller unit fraction (e.g., (1/3) / 4 = 1/12).
5Use the volume formula V = l x w x h or V = b x h for right rectangular prisms and add component volumes for composite 3D shapes.
6Always locate the horizontal x-coordinate first, then the vertical y-coordinate when reading or plotting grid points (x, y).

Frequently Asked Questions

What is the Utah RISE Grade 5 Mathematics test?

RISE (Readiness, Improvement, Success, and Empowerment) Mathematics for Grade 5 is Utah's annual computer-adaptive statewide assessment. It evaluates student proficiency on the Utah Core Standards for Mathematics, focusing on numerical expressions, decimal place value operations, fraction arithmetic, volume measurement, and coordinate plane geometry.

How long is the RISE Grade 5 Math exam, and how many questions are on it?

The official RISE Grade 5 Math exam is untimed, though most students complete it within 60 to 90 minutes. The computer-adaptive test typically presents between 35 and 45 questions that dynamically adjust in difficulty based on student responses.

What is a passing score on the RISE Grade 5 Math test?

RISE reports student results across four achievement levels: Level 1 (Below Proficient), Level 2 (Approaching Proficient), Level 3 (Proficient), and Level 4 (Highly Proficient). A student must earn Level 3 or higher to be considered proficient on Grade 5 Utah Core Standards.

How should students prepare for the RISE 5th Grade Math assessment?

Students can prepare by regularly solving multi-step word problems involving fraction addition and multiplication, performing decimal place-value operations through thousandths, finding volumes of right rectangular prisms, and plotting points on coordinate grids. OpenExamPrep's 100 practice questions provide comprehensive practice for all five Utah Core math domains.