• 45 questions

AzMERIT Practice Test 5th Grade

Fifth grade math for Arizona's AASA, once AzMERIT: decimals, fractions, volume and the coordinate plane.

In 7,742.5, how does the value of the 7 in the thousands place compare with the value of the 7 in the hundreds place?

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Unofficial practice questions, not affiliated with the Arizona Department of Education. Bank checked October 13, 2026.

The real test: AASA mathematics, grade 5

Questions
45
Time limit
None
On the screen
53 questions in two units, 27 and 26. 45 are scored; the 8 field-test questions do not count.
Question kinds
Multiple choice and technology-enhanced, such as multiple select, equation editor, gap match and hot spot. Each scored question is worth one point.
Reporting categories
Numbers in Base Ten 31 to 35% of the points, Algebraic Thinking 4 to 8%, Fractions 31 to 35%, Measurement and Data 18 to 20%, Geometry 7 to 11%.
How it is given
On a computer or on paper, with no time limit. The state estimates 60 to 85 minutes for each math unit; a unit is finished the day it is started.
Calculator
None. Calculators are not permitted on AASA in grades 3 to 6.
Scores
One of four levels. For grade 5 math: Minimally Proficient 3478 to 3562, Partially Proficient 3563 to 3594, Proficient 3595 to 3634, Highly Proficient 3635 to 3

Checked October 13, 2026 against the AASA Math Blueprints, the AASA 2025 Technical Report, the AASA Cut Scores, and the calculator guidance of the Arizona Department of Education. Rules change, so confirm with the agency itself before your test.

The state's own AASA sample tests

All 45 questions

Numbers in Base Ten 15

  • How does the value of the 3 in 0.03 compare with the value of the 3 in 0.3? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.A.1
  • In 7,742.5, how does the value of the 7 in the thousands place compare with the value of the 7 in the hundreds place? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.A.1
  • One of these statements about two decimals is true. Which one? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.A.3b
  • What is 0.58 × 10³? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.A.2
  • What is 5.4 ÷ 0.06? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.B.7
  • What is 12.5 − 7.86? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.B.7
  • What is 13.648 rounded to the nearest hundredth? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.A.4
  • What is 73.5 ÷ 10²? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.A.2
Show all 45 questions (37 more)

Numbers in Base Ten, continued

  • What is 584 × 67? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.B.5
  • What is 936 ÷ 24? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.B.6
  • What is 1,653 ÷ 19? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.B.6
  • What is 3,407 × 26? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.B.5
  • Which is nine and forty-seven thousandths in standard form? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.A.3a
  • Which number is 5 × 10 + 2 × 1 + 6 × (1/10) + 8 × (1/1000)? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.A.3a
  • Which number rounds to 8.4 when rounded to the nearest tenth? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NBT.A.4

Algebraic Thinking 3

  • What is the value of 54 ÷ (4 + 5) × 2? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.OA.A.1
  • Which expression means "subtract 4 from 19, then multiply by 5"? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.OA.A.2
  • Which shows 60 as a product of prime factors? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.OA.B.4

Fractions 15

  • A baker divides 26 cups of flour equally among 8 bowls. Between which two whole numbers is the number of cups in each bowl? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.3
  • A banner is 5/6 yard long and 3/4 yard wide. What is its area? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.4c
  • A rope is 6 yards long. How many pieces that are each 1/3 yard long can be cut from it? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.7b
  • A trail is 4 1/2 miles long. Rosa hikes 2/3 of it. How far does she hike? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.6
  • Five friends share 3 pounds of clay equally. How much clay does each friend get? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.3
  • Half a pan of lasagna is shared equally by 4 people. What fraction of the whole pan does each person get? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.7a
  • Nia walks 5/8 mile to the park and then 1/2 mile to the library. How far does she walk in all? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.A.2
  • One batch of pancakes uses 1 3/4 cups of milk. How much milk do 2 1/2 batches use? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.6
  • Tom adds 4/9 and 3/7 and gets 7/16. Why is his answer not reasonable? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.A.2
  • What is 3 1/2 + 1 3/5? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.A.1
  • What is 4/5 × 2/9? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.4b
  • What is 5/6 of 42? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.4a
  • What is 7/4 − 2/3? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.A.1
  • What is 7/8 − 5/12? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.A.1
  • Without multiplying, which product is greater than 3,487? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.NF.B.5

Measurement and Data 8

  • A box is packed with unit cubes with no gaps. Each layer has 14 cubes and there are 3 layers. What is the volume of the box? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.MD.C.4
  • A jug holds 3 gallons of water. How many cups is that? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.MD.A.1; unit sizes: NIST Handbook 44 (2026), Appendix C, General Tables of Units of Measurement
  • A line plot shows the lengths of 6 ribbons. Three are 1/2 yard, two are 3/4 yard and one is 1/8 yard. What is the total length of the ribbons? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.MD.B.2
  • A line plot shows the rainfall in inches on 5 days: 1/8, 1/4, 1/4, 1/2 and 7/8. What is the difference between the greatest and the least amounts? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.MD.B.2
  • A runner jogs 2.4 kilometers on Monday and 850 meters on Tuesday. How many meters does she jog in all? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.MD.A.1; unit sizes: NIST Handbook 44 (2026), Appendix C, General Tables of Units of Measurement
  • A step stool is made of two rectangular prisms that do not overlap. One is 6 by 4 by 2 inches and the other is 3 by 4 by 2 inches. What is its total volume? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.MD.C.5c
  • A storage bin is 9 feet long, 4 feet wide and 6 feet high. What is its volume? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.MD.C.5b
  • The base of a rectangular prism has an area of 35 square centimeters. Its volume is 280 cubic centimeters. What is its height? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.MD.C.5b

Geometry 4

  • A map uses a coordinate grid where each unit is 1 block. The library is at (2, 3) and the school is at (2, 8). How many blocks apart are they? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.G.A.2
  • A quadrilateral has four right angles and four sides of equal length. Which is the most exact name for it? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.G.B.4
  • Every parallelogram has two pairs of parallel sides. A rhombus is a parallelogram. What must be true of every rhombus? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.G.B.3
  • Which statement is true of the point (0, 7) on a coordinate plane? AASA Grade 5 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 5.G.A.1

How this list was compiled: Outline: the AASA page of the Arizona Department of Education, https://www.azed.gov/assessment/aasa; the AASA Math Blueprints (October 2021), https://www.azed.gov/sites/default/files/2021/10/Math%20AzM2%20Blueprint%202016%20Standards_AASA%20Oct%202021.pdf; and the AASA Grade 5 Math Item Specifications (updated January 2026), https://www.azed.gov/sites/default/files/2026-07/AASA_Gr5_Math_Item_Specifications.pdf: its standards, content limits and context rules. Test structure: AASA 2025 Technical Report, Table 2.9, https://www.azed.gov/sites/default/files/2026/04/AASA_2025_Technical_Report.pdf. Unit sizes in two measurement questions: NIST Handbook 44 (2026), Appendix C, General Tables of Units of Measurement, https://www.nist.gov/document/2026-nist-handbook-44-appendix-c. All read 2026-10-13. Each question names the standard it practices as the item specifications number it. The answers are arithmetic on the numbers in the question, each worked a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an AzMERIT, AzM2 or AASA test, a sample test, sample task or scoring guide of the state, an example in the standards or another practice test.

How it works

Unofficial practice for 5th grade math on AASA, Arizona's Academic Standards Assessment, once called AzMERIT: 45 questions written from the state's blueprint and item specifications, none a state sample item. Not affiliated with the Arizona Department of Education.

Read the full guide

What 5th grade AASA math covers

Arizona's math blueprint gives grade 5 five reporting categories, and the 45 questions follow its shares to within one question. Numbers in Base Ten has 15: place value, powers of 10, rounding decimals, multi-digit multiplying and dividing, and decimal arithmetic. Fractions has 15: unlike denominators, fractions as division, multiplying, scaling, and dividing with unit fractions. Algebraic Thinking has 3, one on prime factors. Measurement and Data has 8 and Geometry 4.

Questions and answers

Is there still an AzMERIT test for 5th grade?

Yes, under a new name. The state's technical report says AzMERIT was renamed AzM2 beginning in 2019-2020 and AzM2 was renamed AASA beginning in 2021-2022. Arizona 5th graders take AASA in English language arts and mathematics each spring.

How many questions are on the 5th grade AASA math test?

53, in two units of 27 and 26. 45 are scored, one point each, and 8 are field-test questions that do not count. Some are multiple choice and some are technology-enhanced, such as equation editor and gap match.

How long is the AzMERIT math test for 5th grade?

AASA is untimed. The state estimates 60 to 85 minutes for each of the two math units, and a unit must be finished on the school day it is started.

What is a passing score on 5th grade AASA math?

The state sets no percent to pass. A scale score falls in one of four performance levels. For grade 5 math, Proficient is 3595 to 3634 and Highly Proficient is 3635 to 3688.

Where is the state's own AZ Merit practice test for 5th grade?

It is now the AASA Sample Test. The item specifications give the way in: home.testnav.com, then Arizona, then Mic Check and Sample Tests.