• 44 questions

NC 5th Grade Math EOG Practice Test

Grade 5 math weighted the way North Carolina's test is: fractions first, then decimals and whole numbers.

What is 1/2 + 3/8?

Pick an answer, then press Check answer. Then you see Correct or Not quite, with the reason. Keys: A to D pick, Enter checks.

Print covers the next 40 questions. Share this set copies a link to the same questions in the same order.

Exam mode: 40 questions, no time limit.

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Unofficial practice questions, not affiliated with the North Carolina Department of Public Instruction. Bank checked October 8, 2026.

The real test: NC EOG math, grade 5

Questions
40
Time limit
180 minutes
Items
40 operational items that count, plus 8 field test items that do not: 48 in all.
Calculator
20 scored items are calculator inactive and 20 calculator active, with a four-function calculator that has a memory key.
Typical time
About 120 minutes for most students, by the state's estimate.
Domains
Fractions 39 to 43%, Base Ten 25 to 29%, Measurement and Data with Geometry 19 to 23%, Operations and Algebraic Thinking 9 to 13%.
Item types
Four-option multiple choice, numeric entry and technology-enhanced items, one point each.
How it is given
Online, in the state's NCTest platform, during the last ten days of the school year.

Checked October 8, 2026 against the End-of-Grade Mathematics Tests at Grades 3-8, North Carolina Test Specifications (April 2026), North Carolina Department of Public Instruction. Rules change, so confirm with the agency itself before your test.

The state's EOG page and released form

Next step EOG science practice, grade 5Grade 6 math practice

All 44 questions

Number and Operations – Fractions 18

  • A 3-hour workshop is split into sessions of 1/4 hour each. How many sessions are there? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.7
  • A 14-foot ribbon is cut into 4 equal pieces. How long is each piece? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.3
  • A poster is 1/3 yard wide and 3/4 yard long. What is its area? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.4
  • A recipe needs 3/4 cup of milk. Ana makes half of the recipe. How much milk does she need? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.4
  • Four hikers share 3 liters of water equally. How much water does each hiker get? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.3
  • Half of a pan of cornbread is shared equally by 4 people. What fraction of the whole pan does each person get? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.7
Show all 44 questions (38 more)

Number and Operations – Fractions, continued

  • Kai walked 2/3 mile to school and then 1/6 mile to the park. How far did he walk in all? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.1
  • What is 1 1/2 × 4? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.4
  • What is 1/2 + 3/8? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.1
  • What is 1/4 ÷ 3? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.7
  • What is 2 1/4 + 1 5/8? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.1
  • What is 2/3 × 3/4? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.4
  • What is 3 1/2 − 1 3/4? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.1
  • What is 5 ÷ 1/2? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.7
  • What is 5/6 − 1/3? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.1
  • What is 6 × 2/3? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.4
  • Which benchmark is closest to 5/8 + 1/2? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.1
  • Which division problem has the same value as 5/8? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NF.3

Number and Operations in Base Ten 12

  • A baker packs 250 rolls into boxes of 12. How many full boxes are there, and how many rolls are left over? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.6
  • In the number 5,555, how does the value of the 5 in the hundreds place compare with the value of the 5 in the tens place? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.1
  • What is 0.4 × 0.7? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.7
  • What is 3.6 × 100? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.1
  • What is 4.35 + 2.8? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.7
  • What is 6.2 − 3.75? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.7
  • What is 7.2 ÷ 8? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.7
  • What is 346 × 27? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.5
  • What is 1,575 ÷ 25? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.6
  • Which decimal is four and twelve thousandths? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.3
  • Which is 6.305 written in expanded form? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.3
  • Which of these decimals is the greatest: 0.58, 0.6, 0.508 or 0.085? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.NBT.3

Measurement and Data, Geometry 9

  • A box is filled with 3 layers of unit cubes, and each layer has 8 cubes. What is the volume of the box? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.MD.4
  • A conversion chart shows 1 gallon = 4 quarts. How many quarts are in 6 gallons? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.MD.1
  • A conversion chart shows 1 kilometer = 1,000 meters. How many kilometers is 3,500 meters? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.MD.1
  • A rectangular prism is 6 cm long, 4 cm wide and 5 cm tall. What is its volume? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.MD.5
  • A solid is made of two rectangular prisms that do not overlap. One is 4 by 3 by 2 inches and the other is 5 by 2 by 2 inches. What is the total volume? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.MD.5
  • Start at the origin of a coordinate plane. Move 4 units right and 7 units up. Which ordered pair names the point? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.G.1
  • Which quadrilateral always has four right angles and four equal sides? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.G.3
  • Which set of data is best shown on a line graph? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.MD.2
  • Which statement about quadrilaterals is always true? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.G.3

Operations and Algebraic Thinking 5

  • Pattern A starts at 0 and adds 4 each time. Pattern B starts at 0 and adds 8 each time. How do matching terms compare? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.OA.3
  • Pattern X starts at 0 and adds 3 each time. Pattern Y starts at 0 and adds 5 each time. Which ordered pair is made from the fourth terms of X and Y? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.OA.3
  • What is the value of 4 × (6 + 9) − 10? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.OA.2
  • What is the value of 36 ÷ (4 + 5) + 2 × 3? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.OA.2
  • Which expression means "subtract 5 from 12, then multiply the difference by 6"? North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 5, standard NC.5.OA.2

How this list was compiled: Outline: End-of-Grade Mathematics Tests at Grades 3-8, North Carolina Test Specifications (April 2026), North Carolina Department of Public Instruction, https://www.dpi.nc.gov/documents/accountability/testing/eog/eog-mathematics-grades-3-8-test-specifications, linked from the End-of-Grade (EOG) page, https://www.dpi.nc.gov/districts-schools/accountability-and-testing/state-tests/end-grade-eog, read 2026-10-08. Each question names the grade 5 standard it practices in the North Carolina K-12 Mathematics Standard Course of Study (adopted June 2017), https://docs.google.com/document/d/1ZCt83aTtuev58rHlZkakK989vziGI3eLk2xNXi8u_4o/, linked from the department's Standard Course of Study and Supporting Resources page for mathematics, read 2026-10-08. The answers are arithmetic on the numbers in the question, worked out twice. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an EOG test, the state's released form or released items, or another practice test.

How it works

Unofficial practice for North Carolina's grade 5 mathematics End-of-Grade (EOG) test. The questions were written for this site from the NC Standard Course of Study; none is a released item. Not affiliated with the North Carolina Department of Public Instruction.

Read the full guide

What is on the 5th grade math EOG

The state's test specifications give each domain a share, kept here. Fractions are the largest at 39 to 43 percent: adding and subtracting unlike denominators, multiplying fractions, and dividing with unit fractions. Number and Operations in Base Ten is 25 to 29 percent: place value, decimals to thousandths, multi-digit multiplication and division. Measurement, data and geometry are 19 to 23 percent: conversions, volume, the coordinate plane and quadrilaterals. Operations and Algebraic Thinking is 9 to 13 percent.

A study guide for the NC 5th grade math EOG

Start with fractions, then take the other domains one at a time and reread the steps under each miss. Each question names its standard, such as NC.5.NF.1, so a weak spot can be matched to the state's own list.

  • For unlike denominators, rename both fractions with one common denominator before you add or subtract.

Questions and answers

How many questions are on the 5th grade math EOG?

A student sees 48 items. 40 are operational and count toward the score. The other 8 are field test items. Every item is worth one point.

How long is the 5th grade math EOG?

The state estimates about two hours for most students. The maximum is three hours, and longer only for a student with a documented accommodation such as extended time.

Can you use a calculator on the 5th grade math EOG?

On half of it. The test has a calculator inactive section and a calculator active section, and in grades 3 to 5 the calculator is a four-function one with a memory key.

Is this the math EOG 5th grade practice test from the state?

No. The questions here were written for this site. The state's own released grade 5 mathematics form is on its End-of-Grade page, and the box under the questions links to that page.

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