Mia buys 4 packs of markers with 12 in each pack, then gives 5 markers away. Which expression shows how many markers she has?Utah Core State Standards for Mathematics, grade 5, Standard 5.OA.2 (RISE Mathematics Blueprint domain: Operations and Algebraic Thinking)
Rule A starts at 0 and adds 2. Rule B starts at 0 and adds 10. Which ordered pair is formed by the fourth term of each rule?Utah Core State Standards for Mathematics, grade 5, Standard 5.OA.3 (RISE Mathematics Blueprint domain: Operations and Algebraic Thinking)
Two patterns form the ordered pairs (1, 4), (2, 8) and (3, 12). If both patterns keep going, which number is paired with 6?Utah Core State Standards for Mathematics, grade 5, Standard 5.OA.3 (RISE Mathematics Blueprint domain: Operations and Algebraic Thinking)
What is the value of 6 + 3 × (14 − 8) ÷ 2?Utah Core State Standards for Mathematics, grade 5, Standard 5.OA.1 (RISE Mathematics Blueprint domain: Operations and Algebraic Thinking)
What is the value of {2 × [5 + (9 − 6)]} − 4?Utah Core State Standards for Mathematics, grade 5, Standard 5.OA.1 (RISE Mathematics Blueprint domain: Operations and Algebraic Thinking)
Show all 50 questions (45 more)
Operations and Algebraic Thinking, continued
Where do parentheses belong so that 30 − 6 × 2 + 3 has a value of 51?Utah Core State Standards for Mathematics, grade 5, Standard 5.OA.1 (RISE Mathematics Blueprint domain: Operations and Algebraic Thinking)
Which expression is 4 times as large as 396 − 58?Utah Core State Standards for Mathematics, grade 5, Standard 5.OA.2 (RISE Mathematics Blueprint domain: Operations and Algebraic Thinking)
Which expression shows "divide the sum of 16 and 8 by 4"?Utah Core State Standards for Mathematics, grade 5, Standard 5.OA.2 (RISE Mathematics Blueprint domain: Operations and Algebraic Thinking)
Without calculating, how does (2,340 + 615) ÷ 5 compare with 2,340 + 615?Utah Core State Standards for Mathematics, grade 5, Standard 5.OA.2 (RISE Mathematics Blueprint domain: Operations and Algebraic Thinking)
Number and Operations in Base Ten 16
A school collects $4,875 from tickets that cost $15 each. How many tickets were sold?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.6 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
In 3.27 the digit 2 is worth 2 tenths. In which number is the 2 worth 1/10 of that?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.1 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
The value of the 8 in 0.84 is how many times the value of the 8 in 0.084?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.1 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 2.4 × 3.5?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.7 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 5.06 + 17.8?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.7 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 6.3 × 10⁴?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.2 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 7.35 ÷ 5?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.7 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 8.376 rounded to the nearest tenth?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.4 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 14.295 rounded to the nearest hundredth?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.4 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 45.9 ÷ 10³?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.2 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 408 × 56?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.5 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 1,234 × 25?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.5 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
What is 3,168 ÷ 12?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.6 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
Which list of decimals is in order from least to greatest?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.3 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
Which number is 2 × 10 + 5 × (1/10) + 8 × (1/1000)?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.3 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
Which statement about 9 ÷ 0.5 is true?Utah Core State Standards for Mathematics, grade 5, Standard 5.NBT.7 (RISE Mathematics Blueprint domain: Number and Operations in Base Ten)
Number and Operations - Fractions 15
A canyon trail is 3 1/2 miles long. Kim hikes 2/3 of it before lunch. How far does she hike before lunch?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.6 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
A gardener has 5 gallons of plant food. Each plant gets 1/8 gallon. How many plants can be fed?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.7 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
A hiker fills a bottle with 7/10 liter of water at one spring and 5/6 liter at the next. How much water is that in all?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.1 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
A poster is 2/3 yard wide and 5/6 yard tall. What is its area?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.4 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
A relay race is 1/6 mile long and is split equally among 4 runners. How far does each runner go?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.7 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
A water tank is 9/10 full. After the garden is watered it is 1/4 full. What fraction of the tank was used?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.2 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
Eight friends share 5 fruit bars equally. How much of a bar does each friend get?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.3 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
Lee adds 7/8 + 11/12. Which is the best estimate of the sum?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.2 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
Multiplying 3/5 by which number gives a fraction equal to 3/5?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.5 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
Six hikers split 21 liters of water equally. How many liters does each hiker carry?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.3 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
What is 4 1/6 − 1 3/4?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.1 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
What is 4/7 × 5/8?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.4 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
What is 5/6 × 18?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.4 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
What is 8 ÷ 1/6?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.7 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
Without multiplying, which statement about 7/4 × 20 is true?Utah Core State Standards for Mathematics, grade 5, Standard 5.NF.5 (RISE Mathematics Blueprint domain: Number and Operations - Fractions)
Measurement and Data and Geometry 10
A line plot shows how much snow fell on 8 days, in feet: three days at 1/4, two days at 1/2 and three days at 3/4. How much snow fell in all?Utah Core State Standards for Mathematics, grade 5, Standard 5.MD.2 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
A moving box is 14 inches long, 9 inches wide and 5 inches tall. What is its volume?Utah Core State Standards for Mathematics, grade 5, Standard 5.MD.5 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
A rectangular prism has a volume of 180 cubic meters. Its base has an area of 20 square meters. How tall is the prism?Utah Core State Standards for Mathematics, grade 5, Standard 5.MD.5 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
A rectangular prism is built from 1-centimeter cubes. It is 6 cubes long, 2 cubes wide and 4 cubes high. What is its volume?Utah Core State Standards for Mathematics, grade 5, Standard 5.MD.4 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
A runner goes around a 400-meter track 3 times. How many kilometers is that?Utah Core State Standards for Mathematics, grade 5, Standard 5.MD.1 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
A visitor center has two box-shaped rooms that do not overlap. One is 5 by 3 by 2 meters and the other is 4 by 3 by 6 meters. What is the total volume of the rooms?Utah Core State Standards for Mathematics, grade 5, Standard 5.MD.5 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
Every parallelogram has two pairs of parallel sides. Which shape must have that property too, because it is always a parallelogram?Utah Core State Standards for Mathematics, grade 5, Standard 5.G.3 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
On a graph, x is the number of hours hiked and y is the number of miles. What does the point (3, 12) mean?Utah Core State Standards for Mathematics, grade 5, Standard 5.G.2 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
To plot a point, Sam starts at the origin, moves 9 units to the right and then 4 units up. Which ordered pair names the point?Utah Core State Standards for Mathematics, grade 5, Standard 5.G.1 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
Which shape is always both a rectangle and a rhombus?Utah Core State Standards for Mathematics, grade 5, Standard 5.G.4 (RISE Mathematics Blueprint domain: Measurement and Data and Geometry)
How this list was compiled: Outline: Utah RISE Mathematics Blueprint, grade 5 (50 operational items; minimum and maximum percent for each domain), the document Math Blueprints on the Utah RISE portal, https://utahrise.org/resources (https://utahrise.org/content/contentresources/en/Math%20Blueprints.pdf), read 2026-10-13. Each question names the standard it practices in the Utah Core State Standards for Mathematics, Elementary Levels, grade 5, linked from the Utah State Board of Education's page Utah Mathematics Standards, https://schools.utah.gov/curr/mathematics/core, read 2026-10-13. Test facts: RISE Testing: A Guide for Utah Families (June 2026), Making Sense of RISE Scores (June 2026) and RISE Testing Overview (October 2025), linked from https://schools.utah.gov/assessment/assessments/rise, read 2026-10-13. Every calculation is worked out a second time from the numbers in the question. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a RISE test, a released item, a training or sample test of the state or another practice test, and no example of the standards document is reused.
How it works
Unofficial practice for Utah's grade 5 RISE mathematics test: 50 questions, the blueprint's count of operational items, in its four domains. None is taken from a RISE test or training test. Not affiliated with the Utah State Board of Education.
Read the full guide
What the grade 5 RISE math test covers
Number and Operations in Base Ten is the largest domain, 30 to 36 percent of 50 operational items: decimals to thousandths, powers of 10, rounding, multiplying with the standard algorithm, two-digit divisors and decimal arithmetic. Number and Operations - Fractions is 28 to 34 percent: unlike denominators, multiplying fractions and mixed numbers, and dividing with unit fractions. Measurement and Data and Geometry is 18 to 22 percent, and Operations and Algebraic Thinking 16 to 20 percent.
A Utah limit on dividing decimals
Standard 5.NBT.7 keeps decimal division to a whole number divided by a decimal or a decimal divided by a whole number, and asks students to judge the size of the quotient. Standard 5.NF.7 leaves dividing a fraction by a fraction for a later grade.
Questions and answers
How many questions are on the 5th grade RISE math test?
50 operational items, by the RISE mathematics blueprint. The domain shares are targets: the test adapts, so each student's mix differs.
Is the Utah RISE test timed for 5th graders?
No. RISE has no time limit: the State Board's guide for families lists not being timed among the features of RISE assessments.
What RISE tests do 5th graders take?
Four: mathematics, English language arts, science and writing. The State Board gives RISE writing in grades 5 and 8 only.
What do RISE math scores mean in 5th grade?
The Individual Student Report gives a scale score, a proficiency level from Below Proficient to Highly Proficient, comparisons with school, district and state averages, and results by reporting category. The guide names no percent to pass.
Is there a Utah RISE practice test for 5th grade math from the state?
The Utah RISE portal offers training tests that cover a range of grades and show the online tools and question types without giving a score. The box under the questions links to them. This page is separate and unofficial.