A pattern begins 2, 4, 6, 8. What is the rule?
Choose an answer to see the worked solution.
Worked solutionEach number is 2 more than the one before it: 4 − 2 = 2, 6 − 4 = 2, and 8 − 6 = 2. The rule is add 2 each time.
Free NC EOG and NC Math 1 EOC math practice test questions
Try a free NC EOG math practice question from every grade and course below. Pick an answer to see the worked solution. The full-length practice for each grade is on TPT.
Designed, reviewed, and checked by Greg · 25+ years in the classroom · Updated for 2026-27The full Grade 3 practice: Full-Year Practice (340 items · 133 pages · 14 standards) · View on TPT
A stadium seats 42,500 people. On Friday 18,240 seats were filled. How many seats were empty?
Choose an answer to see the worked solution.
Worked solutionEmpty seats are the difference: 42,500 − 18,240. Regrouping in the hundreds column gives 24,260.
The full Grade 4 practice: Full-Year Practice (400 items · 151 pages · 17 standards) · View on TPT
A point is at (3, 5). Starting from the origin, how many units to the right and how many up is it?
Choose an answer to see the worked solution.
Worked solutionThe x coordinate is always the across value and the y the up value, so (3, 5) is 3 right then 5 up. Reversing them lands somewhere else entirely.
The full Grade 5 practice: Full-Year Practice (340 items · 128 pages · 14 standards) · View on TPT
A triangle has a base of 10 cm and a height of 6 cm. What is its area?
Choose an answer to see the worked solution.
Worked solutionTwo copies of the triangle fit together to make a 10 by 6 rectangle, whose area is 60 cm². One triangle is half of that: 30 cm².
The full Grade 6 practice: Full-Year Practice (345 items · 126 pages · 15 standards) · View on TPT
A snail moves 12 foot in 14 hour at a steady rate. What is the unit rate in feet per hour?
Choose an answer to see the worked solution.
Worked solutionA unit rate is the distance for ONE hour, so divide: 12 ÷ 14. Dividing by 14 is multiplying by 4, giving 42 = 2 feet per hour.
The full Grade 7 practice: Full-Year Practice (345 items · 130 pages · 12 standards) · View on TPT
A relation is given as a set of ordered pairs.
{(1, 4), (2, 7), (1, 9), (3, 4)}
Is this relation a function?
Choose an answer to see the worked solution.
Worked solutionThe x-value 1 appears in two pairs, (1, 4) and (1, 9), with two different y-values, 4 and 9. A function must assign each x-value exactly one y-value, so this relation is not a function. That the y-value 4 repeats at x = 1 and x = 3 is not a problem — a function is allowed to send two different inputs to the same output.
The full Grade 8 practice: Full-Year Practice (345 items · 149 pages · 14 standards) · View on TPT
NC Math 1
T(m) is the temperature, in degrees Fahrenheit, of a cup of cocoa m minutes after it is poured.
What does T(10) = 128 mean?
Choose an answer to see the worked solution.
Worked solutionIn T(m), the number inside the parentheses is the input, m, which is minutes. The number T(10) equals is the output, the temperature. So T(10) = 128 pairs 10 minutes with 128°F.
Reading it as 10°F after 128 minutes swaps the input and the output. A rate such as '10 degrees every 128 minutes' would need two outputs to compare, and one statement gives only one. T(10) is not T times 10; the parentheses hold the input.
Reading it as 10°F after 128 minutes swaps the input and the output. A rate such as '10 degrees every 128 minutes' would need two outputs to compare, and one statement gives only one. T(10) is not T times 10; the parentheses hold the input.
The full NC Math 1 practice: EOC Review & Practice Test (554 items · 253 pages · 41 standards) · View on TPT
Teacher questions
Is there a free NC EOG math practice test?
The questions on this page are free, one from every grade with its worked solution. The full-length practice tests, with worked answer keys, are on TPT.
Are these actual state test questions?
No. Every item is original and aligned to the standards and item types North Carolina publishes. Nothing is copied from a state test, a released item or a practice test.
Who checks the questions?
Every item, answer key and worked solution is designed, reviewed and checked by Greg, a math teacher with 25+ years in the classroom.
All North Carolina EOG & EOC Math Practice, Grades 3–8 & NC Math 1
Independent practiceIndependent practice for North Carolina’s End-of-Grade and End-of-Course mathematics tests and NC Check-Ins. Not affiliated with, sponsored by, or endorsed by the North Carolina Department of Public Instruction.