Grade 7 math across North Carolina's five domains: ratios, rational numbers, equations, geometry, and statistics and probability.
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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 7
Questions
45
Time limit
180 minutes
Items
45 operational items that count, plus 8 field test items that do not: 53 in all.
Calculator
15 scored items are calculator inactive and 30 are calculator active.
Typical time
About 120 minutes for most students, by the state's estimate.
Domains
Ratios and Proportional Relationships 24 to 28%, Statistics and Probability 22 to 26%, Expressions and Equations 20 to 24%, Geometry 16 to 20%, The Number Syste
Item types
Multiple choice with four options, numeric entry and technology-enhanced items; each is worth one point.
How it is given
Online in NCTest, in the last ten days of the school year; paper for students with disabilities who need it.
A graph shows the cost y, in dollars, of x pounds of apples. The relationship is proportional and the graph passes through (1, 7). What does that point mean?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.2
A jacket that costs $60 is on sale for 25% off. What is the sale price?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.3
A map uses a scale of 1 inch to 25 miles. Two cities are 4.5 inches apart on the map. What is the actual distance between them?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.3
A meal costs $40. The customer adds a 20% tip. What is the total cost?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.3
A painter uses 3/4 gallon of paint to cover 1/2 of a wall. At that rate, how much paint covers one whole wall?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.1
Show all 46 questions (41 more)
Ratios and Proportional Relationships, continued
A salesperson earns an 8% commission on sales of $2,500. How much is the commission?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.3
Grapes cost $2.40 per pound. Which equation gives the cost c, in dollars, of p pounds?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.2
In a proportional table, the x-values are 4, 8, 12 and the matching y-values are 10, 20, 30. What is the constant of proportionality, y ÷ x?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.2
In which table is y proportional to x?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.2
Lee reads 2/3 of a chapter in 1/6 hour. At that rate, how many chapters does Lee read per hour?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.1
The price of a ticket rises from $50 to $65. What is the percent increase?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.3
Which point is on the graph of every proportional relationship?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.RP.2
The Number System 5
The temperature is −4°F at noon. By night it drops 9 degrees. What is the temperature at night?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.NS.1
What is the value of −3.5 × 4 + 10?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.NS.3
What is −2/3 × 9/4?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.NS.2
What is −7 + (−5)?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.NS.1
Which fraction has a decimal form that repeats?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.NS.2
Expressions and Equations 10
A gym charges $25 to join and $15 per month. Sam has paid $130 in all. For how many months has Sam paid?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.4
A plumber charges a $45 visit fee plus $32.50 for each half hour of work. A job takes 2 hours. What is the total charge?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.3
A price p is reduced by 20%. The new price can be written p − 0.2p. Which expression is equivalent?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.2
Max has $50. Each game costs $8, and he wants to have at least $10 left. Which inequality shows how many games g he can buy?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.4
What is the sum of (4x + 7) and (2x − 10)?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.1
What value of x makes 4x + 9 = 37 true?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.4
What value of x makes x/4 − 5 = 3 true?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.4
Which expression is equivalent to −4(3x − 2)?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.1
Which shows 12x + 18 factored with its greatest common factor?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.1
Which shows all the solutions of −2x + 6 < 14?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.EE.4
Geometry 8
A circle has a diameter of 12 inches. What is its area in terms of π?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.G.4
A circle has a radius of 5 cm. What is its circumference? Use 3.14 for π.North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.G.4
A cube has edges 4 cm long. What is its surface area?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.G.6
A pyramid has a rectangular base 6 cm by 5 cm and a height of 8 cm. What is its volume?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.G.6
In a scale drawing, 1 cm stands for 4 m. A room is 3 cm by 5 cm in the drawing. What is the actual area of the room?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.G.1
Two angles are supplementary. One measures 112°. What is the measure of the other?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.G.5
Two complementary angles measure (2x)° and (x + 15)°. What is the value of x?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.G.5
Which three side lengths cannot form a triangle?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.G.2
Statistics and Probability 11
A bag holds 3 red, 5 blue and 2 green marbles. One marble is drawn without looking. What is the probability that it is blue?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.7
A coin is flipped and a number cube numbered 1 to 6 is rolled. How many outcomes are in the sample space?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.8
A school wants to know the favorite lunch of all its students. Which sample is most likely to be representative?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.1
A spinner has 8 equal sections numbered 1 to 8. What is the probability that it lands on a number greater than 5?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.7
A spinner lands on red 18 times in 60 spins. What is the experimental probability of red?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.6
In a random sample of 50 students, 12 walk to school. The school has 600 students. About how many students in the school walk?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.2
The interquartile range describes the spread of which part of a data set?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.3
Team A has a mean height of 150 cm with a mean absolute deviation of 4 cm. Team B has a mean of 158 cm with a mean absolute deviation of 4 cm. Which statement is supported?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.4
Two fair coins are flipped. What is the probability that both land heads?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.8
What is the mean absolute deviation of this data set? 2, 4, 6, 8North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.3
Which probability describes an event that is unlikely but still possible?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 7, standard NC.7.SP.5
Unofficial 7th grade practice for North Carolina's mathematics End-of-Grade (EOG) test. Every question is our own, written from the state's grade 7 standards; none comes from a released form. Not affiliated with the North Carolina Department of Public Instruction.
Read the full guide
What the 7th grade math EOG tests
Five domains, weighted by the state's test specifications. Ratios and Proportional Relationships is 24 to 28 percent: unit rates with fractions, proportional tables and graphs, percent and scale problems. Statistics and Probability is 22 to 26 percent: sampling, variability and probability. Expressions and Equations is 20 to 24 percent: linear expressions, multi-step equations and inequalities. Geometry is 16 to 20 percent: scale drawings, circles, angles, area and volume. The Number System is 8 to 12 percent: operations with rational numbers.
Using it as an NC 7th grade math EOG study guide
Ratios plus statistics and probability are about half of the items: begin there. Each answer shows its steps and its standard, such as NC.7.RP.3 for percent problems. List the standards you miss and return to them the next day.
When you multiply or divide both sides of an inequality by a negative number, reverse the inequality sign.
Questions and answers
How many questions are on the 7th grade math EOG?
53 items in all. 45 are operational: 15 in the calculator inactive section and 30 in the calculator active section. The remaining 8 are field test items that do not count. Each item is worth one point.
What calculator is allowed on the 7th grade math EOG?
In the calculator active section, students in grades 6 to 8 are given a four-function calculator with square root, power and pi keys and algebraic logic. The online test has a scientific calculator built in.
How long is the 7th grade math EOG?
Three hours is the limit, and the state estimates that most students finish in about two. A student with a documented accommodation, such as scheduled extended time, may have longer.
Are these questions from a real 7th grade math EOG?
No. All 46 were written for this site, and none is a released item. North Carolina posts one released grade 7 mathematics form on its End-of-Grade page; the link is in the box under the questions.