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100+ Free RICAS Math Grade 5 Practice Questions

Prepare for the Rhode Island Comprehensive Assessment System (RICAS) Mathematics, Grade 5 exam with instant access — no signup required.

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Key Facts: RICAS Math Grade 5 Exam

RICAS Grade 5 Mathematics evaluates student mastery of 5th grade Rhode Island Core Standards, covering fractions, base-ten decimals, volume, algebraic thinking, and geometry across two untimed sessions.

Sample RICAS Math Grade 5 Practice Questions

Try these sample questions to test your RICAS 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: (12 + 8) ÷ 4
A.4
B.5
C.8
D.14
Explanation: According to the order of operations, perform the operation inside the parentheses first: 12 + 8 = 20. Then divide 20 by 4 to get 5.
2Evaluate the expression: 3 × [4 + (8 - 2)]
A.18
B.24
C.30
D.36
Explanation: Work from the innermost grouping symbols outward: (8 - 2) = 6. Next, inside the brackets: 4 + 6 = 10. Finally, multiply: 3 × 10 = 30.
3What is the value of 50 - [2 × (5 + 3)]?
A.34
B.40
C.42
D.380
Explanation: First perform operations inside parentheses: 5 + 3 = 8. Next, multiply inside brackets: 2 × 8 = 16. Finally, subtract from 50: 50 - 16 = 34.
4Which numerical expression represents 'add 7 and 9, then multiply by 3'?
A.7 + 9 × 3
B.(7 + 9) × 3
C.7 × 3 + 9
D.7 + (9 × 3)
Explanation: Parentheses (7 + 9) ensure that 7 and 9 are added first before multiplying the sum by 3.
5Which expression represents 'subtract 4 from 20, then divide by 2'?
A.(20 - 4) ÷ 2
B.20 - 4 ÷ 2
C.20 ÷ 2 - 4
D.(20 ÷ 2) - 4
Explanation: Parentheses (20 - 4) ensure that 4 is subtracted from 20 first, resulting in 16, which is then divided by 2.
6Evaluate the expression: [15 + (9 - 3)] ÷ 3
A.5
B.7
C.9
D.12
Explanation: Inner parentheses: 9 - 3 = 6. Outer brackets: 15 + 6 = 21. Final division: 21 ÷ 3 = 7.
7Evaluate: 4 × [(18 - 6) ÷ 3]
A.12
B.16
C.48
D.24
Explanation: Innermost grouping: 18 - 6 = 12. Brackets: 12 ÷ 3 = 4. Final step: 4 × 4 = 16.
8Without calculating the exact value, how does the expression 6 × (14,250 + 825) compare to (14,250 + 825)?
A.It is 6 times as large.
B.It is 6 more than the sum.
C.It is equal to the sum.
D.It is 1/6 as large.
Explanation: Multiplying any quantity by 6 makes the result 6 times as large as the original quantity.
9Rule A starts at 3 and adds 3 (3, 6, 9, 12, ...). Rule B starts at 6 and adds 6 (6, 12, 18, 24, ...). What is the relationship between the corresponding terms of Rule B and Rule A?
A.Each term in Rule B is double the corresponding term in Rule A.
B.Each term in Rule B is 3 more than the corresponding term in Rule A.
C.Each term in Rule B is half the corresponding term in Rule A.
D.Each term in Rule B is 6 more than the corresponding term in Rule A.
Explanation: Comparing corresponding terms: 6 = 2 × 3, 12 = 2 × 6, 18 = 2 × 9, 24 = 2 × 12. Each term in Rule B is twice (double) the corresponding term in Rule A.
10Sequence X starts at 0 and adds 4: (0, 4, 8, 12, 16). Sequence Y starts at 0 and adds 8: (0, 8, 16, 24, 32). What ordered pair (X, Y) represents the 3rd corresponding non-zero terms?
A.(8, 16)
B.(12, 24)
C.(16, 32)
D.(4, 8)
Explanation: Non-zero terms for Sequence X: 1st = 4, 2nd = 8, 3rd = 12. Non-zero terms for Sequence Y: 1st = 8, 2nd = 16, 3rd = 24. The 3rd corresponding ordered pair is (12, 24).

About the RICAS Math Grade 5 Exam

The RICAS Grade 5 Mathematics assessment measures student proficiency against the Rhode Island Core Standards for Mathematics. Grade 5 topics focus on multi-digit whole number and decimal operations, fraction addition, subtraction, multiplication, and division concepts, volume measurement, and coordinate geometry. This OpenExamPrep practice bank features 100 aligned English-language multiple-choice practice questions with detailed step-by-step solutions to support classroom learning and test preparation.

Questions

44 scored questions

Time Limit

Session 1 & Session 2 are untimed (recommended 90 minutes per session, ~180 minutes total).

Passing Score

Four performance levels: Exceeding Expectations, Meeting Expectations, Partially Meeting Expectations, and Not Meeting Expectations (Meeting Expectations represents state proficiency).

Exam Fee

Free for public school students in Rhode Island as part of mandatory state testing. (Rhode Island Department of Education (RIDE) and Cognia)

RICAS Math Grade 5 Exam Content Outline

15%

Operations and Algebraic Thinking

Evaluate numerical expressions with parentheses/brackets, analyze numerical patterns, and graph relationships.

30%

Number and Operations in Base Ten

Understand place value to thousandths, powers of 10, multi-digit multiplication standard algorithm, long division, and decimal operations.

25%

Number and Operations - Fractions

Adding and subtracting fractions with unlike denominators, multiplying fractions and mixed numbers, interpreting fractions as division, and dividing unit fractions by whole numbers and whole numbers by unit fractions.

20%

Measurement and Data

Convert measurement units within customary and metric systems, interpret line plots with fraction data, and solve volume problems using V = l x w x h and V = B x h.

10%

Geometry

Plotting and interpreting points in Quadrant I of the coordinate plane, and 2D shape hierarchy (polygons, triangles, quadrilaterals).

How to Pass the RICAS Math Grade 5 Exam

What You Need to Know

  • Passing score: Four performance levels: Exceeding Expectations, Meeting Expectations, Partially Meeting Expectations, and Not Meeting Expectations (Meeting Expectations represents state proficiency).
  • Exam length: 44 questions
  • Time limit: Session 1 & Session 2 are untimed (recommended 90 minutes per session, ~180 minutes total).
  • Exam fee: Free for public school students in Rhode Island as part of mandatory state testing.

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

RICAS Math Grade 5 Study Tips from Top Performers

1Master equivalent fractions and finding least common denominators for adding and subtracting fractions.
2Practice multi-digit multiplication and long division algorithms without relying on a calculator.
3Understand place value relationships: multiplying or dividing by powers of 10 shifts decimal point positions.
4Memorize the volume formulas V = l x w x h and V = B x h and know how to find the area of the base.
5Carefully read word problems, convert units when necessary, and double-check all computational steps.

Frequently Asked Questions

What is RICAS Grade 5 Mathematics?

RICAS Grade 5 Mathematics is Rhode Island's official annual summative math assessment for 5th graders, administered every spring by RIDE.

Are calculators allowed on RICAS Grade 5 Math?

No calculators are allowed on the RICAS Grade 5 Mathematics test, as it emphasizes computational fluency with whole numbers, decimals, and fractions.

How long is the RICAS Grade 5 Math test?

The test is untimed. RIDE recommends scheduling approximately 90 minutes for Session 1 and 90 minutes for Session 2 (about 180 minutes total).

How many questions are on the official exam?

The official RICAS Grade 5 Math test contains approximately 36 to 40 questions total, including multiple-choice, short-answer, and constructed-response formats.

What are the score levels for RICAS?

Results are categorized into four performance levels: Exceeding Expectations, Meeting Expectations, Partially Meeting Expectations, and Not Meeting Expectations.

Is this practice bank an official test?

No. OpenExamPrep provides a free 100-question English-language MCQ study adaptation designed to help students master Rhode Island Core Standards skills through realistic calculation and problem-solving practice.