These Utah RISE Grade 5 Math practice questions help students review the kinds of skills they need before test day. The goal is not only to get the answer right, but to understand the strategy behind each answer.
Use the questions below for tutoring, homework review, parent-led practice, or a quick readiness check. Each question includes the correct answer and a short explanation so students can learn from mistakes.
How to Use These Grade 5 Math Practice Questions
Have students solve each problem on paper before looking at the answer explanation. If a student misses a problem, name the skill, redo the problem, and then practice a similar problem.
- Use 6 questions for a quick warm-up.
- Use all 12 questions for a mixed Grade 5 review session.
- Ask students to explain at least two answers out loud.
- Review missed questions before moving to timed practice.
- Use practice tests as checkpoints after skill review.
Utah RISE Grade 5 Math Practice Questions with Answer Explanations
The questions below are original Grade 5 review questions. They are not official state test items, but they target common Grade 5 math skills students should understand.
Question 1 - Decimal place value
Which expression shows 3.047 in expanded form?
- 3 + 0.4 + 0.07
- 3 + 0.04 + 0.007
- 30 + 4 + 7
- 3 + 0.004 + 0.7
In 3.047, the 4 is in the hundredths place and the 7 is in the thousandths place. The expanded form is 3 + 0.04 + 0.007.
Question 2 - Rounding decimals
Round 6.748 to the nearest tenth.
- 6.7
- 6.8
- 6.74
- 7.0
The tenths digit is 7 and the hundredths digit is 4. Since 4 is less than 5, keep the tenths digit the same. The answer is 6.7.
Question 3 - Multi-digit multiplication
327 x 24 = ?
- 7,248
- 7,848
- 8,148
- 8,748
Break 24 into 20 + 4. 327 x 20 = 6,540 and 327 x 4 = 1,308. Add them: 6,540 + 1,308 = 7,848.
Question 4 - Division with whole numbers
5,936 / 8 = ?
- 724
- 742
- 752
- 842
Use division or check by multiplication. Since 742 x 8 = 5,936, the quotient is 742.
Question 5 - Adding fractions with unlike denominators
What is 2/3 + 1/4?
- 3/7
- 5/12
- 8/12
- 11/12
Use a common denominator of 12. 2/3 = 8/12 and 1/4 = 3/12. Add: 8/12 + 3/12 = 11/12.
Question 6 - Multiplying fractions by whole numbers
What is 3/5 x 10?
- 3/50
- 6
- 10/15
- 13/5
Think of 10 as 10/1. Then 3/5 x 10/1 = 30/5, and 30/5 = 6.
Question 7 - Dividing a unit fraction by a whole number
What is 1/2 divided by 3?
- 1/6
- 1/5
- 3/2
- 2/3
Dividing 1/2 into 3 equal parts means each part is one sixth of the whole. So 1/2 / 3 = 1/6.
Question 8 - Decimal word problems
A runner jogs 4.75 miles on Monday and 2.6 miles on Tuesday. How many miles did the runner jog altogether?
- 6.35 miles
- 7.35 miles
- 7.81 miles
- 10.75 miles
Line up the decimal points: 4.75 + 2.60 = 7.35. The runner jogged 7.35 miles.
Question 9 - Numerical expressions
Evaluate 3 x (12 + 8) - 5.
- 31
- 55
- 60
- 235
First solve inside the parentheses: 12 + 8 = 20. Then 3 x 20 = 60. Finally 60 - 5 = 55.
Question 10 - Volume
A rectangular prism has length 6 units, width 4 units, and height 5 units. What is the volume?
- 19 cubic units
- 30 cubic units
- 120 cubic units
- 150 cubic units
Volume = length x width x height. So 6 x 4 x 5 = 120 cubic units.
Question 11 - Coordinate plane
What does the point (4, 3) mean on a coordinate plane?
- 4 units up and 3 units right
- 4 units right and 3 units up
- 3 units right and 4 units down
- 4 units left and 3 units up
The first coordinate is the x-value, so move 4 units right. The second coordinate is the y-value, so move 3 units up.
Question 12 - Measurement conversion
How many inches are in 6 feet?
- 12 inches
- 36 inches
- 60 inches
- 72 inches
There are 12 inches in 1 foot. Multiply 6 x 12 = 72, so 6 feet equals 72 inches.
What Skills These Questions Cover
| Question Range | Main Skill | Why It Matters |
|---|---|---|
| Questions 1-4 | Decimals, place value, multiplication, and division | Students need accurate computation and place-value understanding. |
| Questions 5-7 | Fraction operations | Students need common denominators, multiplication, and division with fractions. |
| Questions 8-9 | Decimal word problems and expressions | Students need to translate real situations into calculations. |
| Questions 10-12 | Volume, coordinate planes, and measurement conversions | Students need models, units, formulas, and graphing language. |
How to Review Missed Math Questions
The fastest way to improve is to review mistakes with purpose. For each missed question, write the skill name, redo the problem, and explain the correct strategy in one sentence.
- If the mistake was computation, check place value and operation steps.
- If the mistake was a fraction, draw a model or rewrite equivalent fractions.
- If the mistake was a word problem, identify the question, units, and operation.
- If the mistake was volume or measurement, label units before calculating.
Standards connection
Connect Practice Questions to Utah Core Standards
Use the standards guide to connect missed questions to lessons, quizzes, and printable practice resources.
Open the Grade 5 standards guideSkill review
Helpful Grade 5 Math Lessons
Use these lessons to review common Grade 5 topics before moving into timed practice.
- Grade 5 Understanding Place Value
- Grade 5 Reading and Writing Decimals to Thousandths
- Grade 5 Rounding Decimals
- Grade 5 Comparing and Ordering Decimals
- Grade 5 Multiplying Multi-Digit Whole Numbers
- Grade 5 Dividing with Two-Digit Divisors
- Grade 5 Adding and Subtracting Decimals
- Grade 5 Multiplying Decimals
- Grade 5 Dividing Decimals by Whole Numbers
- Grade 5 Adding Fractions with Unlike Denominators
- Grade 5 Subtracting Fractions with Unlike Denominators
- Grade 5 Multiplying Fractions by Whole Numbers
- Grade 5 Multiplying Fractions by Fractions
- Grade 5 Dividing Unit Fractions by Whole Numbers
- Grade 5 Dividing Whole Numbers by Unit Fractions
- Grade 5 Writing and Interpreting Numerical Expressions
- Grade 5 Converting Measurement Units
- Grade 5 Line Plots with Fractional Data
- Grade 5 Understanding Volume
- Grade 5 Finding Volume Using Formulas
- Grade 5 Volume of Composite Figures
- Grade 5 Understanding the Coordinate Plane
- Grade 5 Graphing and Interpreting Points
- Grade 5 Properties of Two-Dimensional Figures
- Grade 5 Classifying Two-Dimensional Figures
Timed practice
Try Utah RISE Grade 5 Math Practice Tests
After students finish the sample questions on this page, these timed quizzes help them practice pacing, stamina, and mixed-skill review.
Practice resources
Printable Grade 5 Math Practice for Utah
Full practice book
Bundle option
Summary
Utah RISE Grade 5 Math practice should be steady, skill-based, and easy to review. Students improve most when they solve mixed questions, study answer explanations, correct missed problems, and then try timed practice tests when they are ready.
FAQ
What should students practice for Utah RISE Grade 5 Math?
Students should practice place value, decimals, multi-digit operations, fractions, expressions, measurement conversions, line plots, volume, geometry, coordinate planes, and multi-step word problems.
Are these RISE Grade 5 Math practice questions official test questions?
No. These are original Grade 5 practice questions designed to help students review common tested skills. Families should check official state or school guidance for current test details.
How many Grade 5 math practice questions should students do each week?
A strong routine is 15 to 25 focused questions several times per week, followed by careful review of every missed question.
Should Grade 5 students practice with timed questions?
Yes, but start untimed when reviewing a skill. Add timed practice after students understand the strategy and need to build pacing.
What is the best way to review missed Grade 5 math questions?
Students should name the skill, redo the problem, explain the mistake, and then practice two or three similar questions.
How do practice tests help with Utah RISE Grade 5 Math?
Practice tests help students build stamina, pacing, accuracy, and confidence with mixed Grade 5 math skills.
