12 is 20% of what number?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.4
A bag holds 3 red marbles and 5 blue marbles. What is the ratio of red marbles to all the marbles?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.1
A class has 30 students, and 40% of them walk to school. How many students walk?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.4
A hose fills 20 gallons in 4 minutes. Which pair of unit rates is correct?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.2
A printer makes 56 pages in 4 minutes. At that rate, how many pages does it make in 9 minutes?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.3
A ratio table shows 2 cups of juice for 6 servings and 5 cups for 15 servings. How many servings do 7 cups make?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.3
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Ratios and Proportional Relationships, continued
A recipe uses 2 cups of flour for every 1 cup of sugar. Which statement is true?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.1
Maya pays $12 for 4 notebooks. What is the cost of 1 notebook?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.2
Paint is mixed 3 parts blue to 2 parts white. How much white goes with 12 parts blue?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.3
Store A sells 6 pens for $9. Store B sells 4 pens for $7. Which store has the lower price per pen?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.3
There are 3 feet in 1 yard. How many feet are in 7 yards?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.3
What is 10% of 370?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.4
What is 25% of 120?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.RP.4
The Number System 11
A 6-foot board is cut into pieces that are each 2/3 foot long. How many pieces are there?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.1
A baker has 4/5 pound of dough and uses 1/10 pound for each roll. How many rolls can she make?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.1
A school is taking 1,250 students on a trip. Each bus holds 48 students. How many buses are needed?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.2
In which quadrant of the coordinate plane is the point (−6, −2)?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.6
What is 3 − 8?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.9
What is 3.6 × 0.25?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.3
What is 9.6 ÷ 0.3?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.3
What is the distance between the points (2, −3) and (2, 5)?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.8
What is the greatest common factor of 54 and 90?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.4
Which expression uses the greatest common factor to rewrite 24 + 40?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.4
Which list shows the four integers in order from least to greatest?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.NS.7
Expressions and Equations 12
A plant grows 2 cm a week, so its gain in height is g = 2w after w weeks. Which is the dependent variable?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.9
A ride requires a height of more than 54 inches. Which inequality shows the heights h that are allowed?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.8
How many solutions does the inequality x < 10 have?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.8
Sam earns $12 for each hour he works. Which equation relates his pay p to his hours h?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.9
Solve x + 19 = 46.North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.7
Tickets cost $6 each. Kim spends $54 on tickets. Which equation and solution give the number of tickets t?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.7
What is the value of 2³ + 4 × 5?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.1
What is the value of 3x + 7 when x = 5?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.2
Which expression is equivalent to 5x + 2x + 3?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.4
Which expression is equivalent to 6(x + 2)?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.3
Which expression means 6 less than twice a number n?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.2
Which value of x makes 4x + 3 = 27 true?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.EE.5
Geometry 7
A box is 6 ft long, 1 1/2 ft wide and 4 ft high. What is its volume?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.G.2
A cube has edges 3 cm long. Its net is six squares. What is its surface area?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.G.4
A parallelogram has a base of 12 m and a height of 7 m. What is its area?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.G.1
A rectangle has vertices at (1, 2), (1, 7), (5, 7) and (5, 2). What is its perimeter?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.G.3
A trapezoid has parallel sides of 5 cm and 9 cm and a height of 4 cm. What is its area?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.G.1
A triangle has a base of 18 cm and a height of 7 cm. What is its area?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.G.1
The net of a square pyramid has a square base 4 cm on a side and four triangles, each with a base of 4 cm and a height of 5 cm. What is the surface area?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.G.4
Statistics and Probability 7
A box plot has its box from 20 to 35 and its median line at 28. What is the interquartile range?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.SP.4
A dot plot of quiz scores has 3 dots over 7, 5 dots over 8 and 2 dots over 9. How many scores were recorded?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.SP.5
Five homes sold for $200,000 each and one sold for $2,000,000. Which measure best describes a typical price?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.SP.5
Two classes have the same median score, 80. Class A's scores run from 78 to 82, and Class B's run from 50 to 100. How do the classes differ?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.SP.2
What is the mean of 4, 6, 9, 13?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.SP.3
What is the median of 3, 7, 8, 12, 15?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.SP.3
Which question is a statistical question?North Carolina Standard Course of Study for Mathematics (adopted June 2017), grade 6, standard NC.6.SP.1
Unofficial practice for the 6th grade mathematics End-of-Grade (EOG) test in North Carolina. Each question was written for this site from grade 6 standards; nothing comes from a state test. Not affiliated with the North Carolina Department of Public Instruction.
Read the full guide
What the 6th grade EOG math practice test covers
The questions follow the five domains and weights of the state's test specifications. Ratios and Proportional Relationships is 24 to 28 percent: ratio language, unit rates, ratio tables and percents. Expressions and Equations is 22 to 26 percent: exponents, equivalent expressions, one-step equations and inequalities. The Number System is 20 to 24 percent: dividing fractions, decimals, factors, integers and the coordinate plane. Geometry and Statistics and Probability are 12 to 16 percent each: area, volume, nets, center and spread.
A 6th grade math EOG study guide, one domain a day
Work ten questions from a single domain each day. Every answer names its standard, such as NC.6.RP.4 for percents. Write down the standards you miss and try those questions again two days later.
On percent questions, find 10% first. Most other percents can be built from it.
Questions and answers
Where is the NCDPI 6th grade math EOG practice test?
The North Carolina Department of Public Instruction posts one released grade 6 mathematics form on its End-of-Grade page. The box under the questions links to that page. The questions here are separate and unofficial.
How many questions are on the 6th grade math EOG?
45 items count toward the score, and 8 more are field test items that do not, for 53 in all. Of the scored items, 15 are in the calculator inactive section and 30 in the calculator active section.
Can you use a calculator on the 6th grade math EOG?
Only in the calculator active section. There the state provides a four-function calculator with square root, power and pi keys, and the online test has a scientific calculator built in.
How long is the 6th grade math EOG?
Up to 180 minutes. By the state's estimate most students need about 120. The test is given online in the last ten days of the school year.