NORTH CAROLINA END-OF-GRADE MATH (GRADE 3) – PRACTICE
QUESTIONS AND CORRECT ANSWERS (VERIFIED ANSWERS) PLUS
RATIONALES 2026 Q&A | INSTANT DOWNLOAD PDF.
CORE DOMAINS
- Operations and Algebraic Thinking
- Number and Operations in Base Ten
- Number and Operations – Fractions
- Measurement and Data
- Geometry
- Mathematical Reasoning and Problem Solving
- Ethics in Academic Integrity
- Standardized Testing Compliance
INTRODUCTION
This comprehensive practice assessment is designed to mirror the rigors of the North
Carolina End-of-Grade Math evaluation for Grade 3 students. Its primary purpose is
to measure proficiency across state-mandated curriculum standards, ensuring
students possess the foundational mathematical skills necessary for future academic
,success. The exam assesses a wide array of competencies, including numerical
operations, fractional understanding, and spatial reasoning. Utilizing a multiple-choice
format, the assessment incorporates both direct computation and complex, scenario-
based word problems. There is a significant emphasis on real-world application,
requiring students to engage in critical thinking and strategic decision-making to solve
practical mathematical challenges.
SECTION ONE: QUESTIONS 1–100
1. A teacher has 48 pencils and wants to give an equal number to 6 students.
Which equation helps find how many pencils each student gets?
A. 48 + 6 = 54
B. 48 - 6 = 42
🟢 C. 6 x 8 = 48
D. 48 x 6 = 288
🔴 RATIONALE: This problem requires understanding the relationship between
multiplication and division; since 48 divided by 6 equals 8, the related multiplication
fact 6 x 8 = 48 identifies the missing factor.
, 2. A rectangular garden has a length of 8 feet and a width of 4 feet. What is the
total area of the garden?
A. 12 square feet
B. 24 square feet
🟢 C. 32 square feet
D. 40 square feet
🔴 RATIONALE: To find the area of a rectangle, the length must be multiplied by the
width; 8 multiplied by 4 equals 32.
3. Which of the following numbers, when rounded to the nearest ten, results in 70?
A. 64
🟢 B. 67
C. 76
D. 82
🔴 RATIONALE: When rounding to the nearest ten, if the digit in the ones place is 5
or greater, the tens digit increases; 67 is closer to 70 than to 60.
4. Sarah ate 1/4 of a pizza, and James ate 1/4 of the same pizza. How much of
the pizza is left?
, A. 1/4
🟢 B. 2/4
C. 3/4
D. 4/4
🔴 RATIONALE: The total eaten is 2/4 (1/4 + 1/4); subtracting 2/4 from the whole
pizza (4/4) leaves 2/4 of the pizza remaining.
5. A student sees a shape with four right angles and four equal sides. What is the
best name for this shape?
A. Rhombus
B. Rectangle
C. Trapezoid
🟢 D. Square
🔴 RATIONALE: A square is defined specifically by having four congruent sides and
four right angles, distinguishing it from a general rectangle or rhombus.
6. Which expression is equivalent to 7 x (3 + 5)?
🟢 A. (7 x 3) + (7 x 5)
B. 7 + 3 + 5
QUESTIONS AND CORRECT ANSWERS (VERIFIED ANSWERS) PLUS
RATIONALES 2026 Q&A | INSTANT DOWNLOAD PDF.
CORE DOMAINS
- Operations and Algebraic Thinking
- Number and Operations in Base Ten
- Number and Operations – Fractions
- Measurement and Data
- Geometry
- Mathematical Reasoning and Problem Solving
- Ethics in Academic Integrity
- Standardized Testing Compliance
INTRODUCTION
This comprehensive practice assessment is designed to mirror the rigors of the North
Carolina End-of-Grade Math evaluation for Grade 3 students. Its primary purpose is
to measure proficiency across state-mandated curriculum standards, ensuring
students possess the foundational mathematical skills necessary for future academic
,success. The exam assesses a wide array of competencies, including numerical
operations, fractional understanding, and spatial reasoning. Utilizing a multiple-choice
format, the assessment incorporates both direct computation and complex, scenario-
based word problems. There is a significant emphasis on real-world application,
requiring students to engage in critical thinking and strategic decision-making to solve
practical mathematical challenges.
SECTION ONE: QUESTIONS 1–100
1. A teacher has 48 pencils and wants to give an equal number to 6 students.
Which equation helps find how many pencils each student gets?
A. 48 + 6 = 54
B. 48 - 6 = 42
🟢 C. 6 x 8 = 48
D. 48 x 6 = 288
🔴 RATIONALE: This problem requires understanding the relationship between
multiplication and division; since 48 divided by 6 equals 8, the related multiplication
fact 6 x 8 = 48 identifies the missing factor.
, 2. A rectangular garden has a length of 8 feet and a width of 4 feet. What is the
total area of the garden?
A. 12 square feet
B. 24 square feet
🟢 C. 32 square feet
D. 40 square feet
🔴 RATIONALE: To find the area of a rectangle, the length must be multiplied by the
width; 8 multiplied by 4 equals 32.
3. Which of the following numbers, when rounded to the nearest ten, results in 70?
A. 64
🟢 B. 67
C. 76
D. 82
🔴 RATIONALE: When rounding to the nearest ten, if the digit in the ones place is 5
or greater, the tens digit increases; 67 is closer to 70 than to 60.
4. Sarah ate 1/4 of a pizza, and James ate 1/4 of the same pizza. How much of
the pizza is left?
, A. 1/4
🟢 B. 2/4
C. 3/4
D. 4/4
🔴 RATIONALE: The total eaten is 2/4 (1/4 + 1/4); subtracting 2/4 from the whole
pizza (4/4) leaves 2/4 of the pizza remaining.
5. A student sees a shape with four right angles and four equal sides. What is the
best name for this shape?
A. Rhombus
B. Rectangle
C. Trapezoid
🟢 D. Square
🔴 RATIONALE: A square is defined specifically by having four congruent sides and
four right angles, distinguishing it from a general rectangle or rhombus.
6. Which expression is equivalent to 7 x (3 + 5)?
🟢 A. (7 x 3) + (7 x 5)
B. 7 + 3 + 5
