A 16-ounce jar of tomato sauce costs $4.00. What is the price per ounce?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
A boardwalk bench is 7 feet long. There are 12 inches in 1 foot. How long is the bench in inches?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
A diner in Trenton sells 4 bagels for $6. A diner in Camden sells 6 bagels for $10.50. Which diner charges less for each bagel?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
A farm stand in Hammonton sells 6 pints of blueberries for every 9 pints of strawberries. What is the ratio of blueberry pints to strawberry pints in simplest form?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.1; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
Show all 46 questions (42 more)
Ratios and Proportional Relationships, continued
A lemonade stand mixes 3 cups of juice with every 4 cups of water. How many cups of juice does it use for each cup of water?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.2; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
A machine at a shore candy shop wraps 91 pieces of taffy in 7 minutes. What is its unit rate?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.2; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
A parking lot by the boardwalk has 45 cars in it when it is 60% full. How many cars does the lot hold when it is full?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
A season beach badge costs $80. A senior pays 35% of that price. How much does a senior pay?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
A shore train travels at a constant speed and covers 132 miles in 3 hours. At that speed, how many miles does it cover in 5 hours?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
A table of equivalent ratios shows that 2 cans of paint cover 5 lifeguard stands and 6 cans cover 15 stands. How many stands do 8 cans cover?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
At one middle school the ratio of students who take the train to students who bike is 3:5. Which statement must be true?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.RP.A.1; NJSLA-A Mathematics Blueprint, grade 6, reporting category Ratios and Proportional Relationships
The Number System 12
A cook has 9 cups of clam chowder. How many bowls of 3/4 cup can be filled?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.A.1; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
A crab trap rests 20 feet below the surface of a bay and a lighthouse lamp shines 35 feet above the surface. With the surface as 0, which pair of integers gives their positions?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.C.5; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
A deli sells sliced turkey for $9.60 a pound. What does 0.75 pound cost?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.B.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
Hot dog rolls come in packs of 8 and hot dogs in packs of 12. What is the smallest number of rolls that can be bought so that there is exactly one hot dog for each roll?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.B.4; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
On a coordinate map of a shore town the ferry dock is at (−6, 2) and the lighthouse is at (5, 2). Each unit is 1 mile. How many miles apart are they?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.C.8; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
One blue crab weighs 20.3 ounces and a smaller one weighs 7.85 ounces. How many ounces heavier is the first crab?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.B.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
One winter morning it is −8°F in Newton and −3°F in Cape May. Which statement is true?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.C.7; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
The points (3, −5) and (−3, −5) are plotted on a coordinate plane. How are the two points related?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.C.6; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
What is 7/8 ÷ 3/16?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.A.1; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
What is 4,347 ÷ 27?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.B.2; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
Which expression is equal to 27 + 63?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.B.4; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
Which number is the same as −(−12)?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.NS.C.6; NJSLA-A Mathematics Blueprint, grade 6, reporting category The Number System
Expressions and Equations 12
A bay ferry burns 14 gallons of fuel each hour. Which equation gives the gallons g it burns in h hours?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.C.9; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
A bridge sign says a truck must weigh less than 15 tons to cross. Which inequality shows the weights w, in tons, of trucks that may cross?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.B.8; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
A cyclist has ridden 3.6 miles of a 10-mile shore path. The equation x + 3.6 = 10 gives x, the miles left. What is x?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.B.7; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
A rain barrel that is 3/4 full holds 12 gallons. The equation (3/4)x = 12 gives x, the gallons it holds when full. What is x?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.B.7; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
The area of a mural, in square feet, is 9(2x + 7). Which expression is equivalent to it?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
The cost in dollars of renting a beach umbrella for h hours is C = 12 + 4h. What is C when h = 2.5?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.A.2; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
Each toll on a highway costs $1.75. Which expression gives the cost, in dollars, of n tolls?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.B.6; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
Jae says that 2(x + 3) and 2x + 6 are equivalent expressions. What must be true if he is right?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.A.4; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
What is the value of 4³ − 6 × 5?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.A.1; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
Which expression is equivalent to 20m + 35n?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
Which expression means "the quotient of k and 5, increased by 9"?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.A.2; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
Which number from the set {6, 7, 8, 9} makes 4x + 3 > 38 true?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.EE.B.5; NJSLA-A Mathematics Blueprint, grade 6, reporting category Expressions and Equations
Geometry and Statistics and Probability 11
A dot plot shows the number of pets in 12 homes: 2 dots above 0, 5 dots above 1, 3 dots above 2 and 2 dots above 4. How many of the homes have 2 or more pets?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.SP.B.4; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
A garden plot is a trapezoid with parallel sides of 9 meters and 15 meters and a height of 6 meters. What is its area?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.G.A.1; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
A paper model of a pyramid unfolds into a net: one square with sides of 8 centimeters and four triangles, each with a base of 8 centimeters and a height of 7 centimeters. What is the surface area of the pyramid?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.G.A.4; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
A planter box is a right rectangular prism 4 1/2 feet long, 1 1/2 feet wide and 2 feet deep. How much soil fills it?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.G.A.2; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
A playground is drawn as a rectangle with corners at (−4, 6), (3, 6), (3, −2) and (−4, −2). How long is its longer side?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.G.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
A triangular pennant is 18 inches along its base and 13 inches high. How many square inches of cloth is it?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.G.A.1; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
The data 2, 4, 7, 9, 11, 14, 18 are in order. What is the interquartile range?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.SP.B.5; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
Dev wants to write a statistical question about his town's beach. Which question should he pick?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.SP.A.1; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
The heights of five waves, in feet, are 4, 7, 5, 9 and 10. What is the mean height?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.SP.B.5; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
The median of a data set is 14 and its interquartile range is 6. Which of the two is a measure of center?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.SP.A.3; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
Seven houses on one street sold for $310, $315, $320, $320, $330, $340 and $980 thousand. Which measure best describes a typical price?New Jersey Student Learning Standards for Mathematics (2023), grade 6, standard 6.SP.B.5; NJSLA-A Mathematics Blueprint, grade 6, reporting category Geometry and Statistics and Probability
How this list was compiled: Outline: NJSLA-A Mathematics Blueprints, Grade 6 (New Jersey Department of Education), https://www.nj.gov/education/assessment/adaptive/mathblueprints.shtml, read 2026-10-12. Each question names the standard it practices in the 2023 New Jersey Student Learning Standards for Mathematics, Grade 6, https://www.nj.gov/education/standards/math/2023/6.shtml, read 2026-10-12. Every answer is 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 NJSLA test, a practice test of the state, a released item or another practice test.
How it works
This NJSLA grade 6 practice test is unofficial and covers mathematics only: 46 questions of our own, written to New Jersey's 2023 standards, none taken from a state item. Not affiliated with the New Jersey Department of Education.
Read the full guide
What an NJSLA practice test for math in grade 6 covers
New Jersey's blueprint gives the grade 6 test 46 items and this page stays inside its count for each of four reporting categories. The Number System has 12 questions: dividing fractions, decimals, common factors, negative numbers and the coordinate plane. Expressions and Equations has 12: exponents, equivalent expressions, one-step equations and inequalities. Ratios and Proportional Relationships has 11: unit rates, percents and converting units. Geometry and Statistics and Probability has 11: area, volume, nets, and the center and spread of data.
The standard under each answer
Each answer shows its steps and its New Jersey standard, such as 6.RP.A.3.
For the statistics questions, know the mean, the median, the interquartile range and what makes a question statistical.
Questions and answers
How many questions are on the NJSLA grade 6 math test?
46 items, by New Jersey's blueprint. The test is adaptive, so three categories have a least and a most, such as 11 to 14 items on The Number System. Geometry with statistics and probability is set at 11.
How long is the NJSLA math test in grade 6?
150 minutes. The state's testing times page lists two mathematics sessions of 75 minutes each.
Is there an NJSLA grade 6 practice test from the state?
Yes, free and online, on its assessments portal: choose Practice Tests, then a guest session and the grade. The state says its main purpose is getting used to the testing tools. The box under the questions links to the portal.
Does this NJSLA grade 6 practice test cover English language arts?
No, mathematics only. Sixth graders also take NJSLA English language arts, which the state's testing times page splits into reading, 150 minutes, and writing, 90 minutes. NJSLA science is given in grades 5, 8 and 11, not grade 6.