• 52 questions

PARCC Practice Test Grade 6 Math

Sixth grade math in the four parts of the PARCC blueprint: ratios, negative numbers, expressions, reasoning and modeling.

A fruit bowl holds 8 apples and 12 oranges and nothing else. What is the ratio of apples to all the fruit, in simplest form?

Pick an answer, then press Check answer. Then you see Correct or Not quite, with the reason. Keys: A to D pick, Enter checks.

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Unofficial practice questions, not affiliated with New Meridian, CCSSO or any state that has given PARCC tests. Bank checked October 12, 2026.

The real test: PARCC math, grade 6

Task types
Type I tasks test concepts, skills and procedures and are machine scored. Type II tasks test mathematical reasoning. Type III tasks test modeling and applicatio
Scored tasks, full form
31 Type I, 4 Type II and 3 Type III: 38 in all. Field-test items that do not count are added.
Scored tasks, short form
23 Type I, 3 Type II and 3 Type III: 29 in all, worth 52 points.
Points by sub-claim
Major content 20, additional and supporting content 10, reasoning 10, modeling 12 (short form).
Units and calculator
Three units, 80 minutes each on the full form and 60 on the short form. Full form: unit 1 non-calculator, units 2 and 3 calculator. Short form: unit 1 has a non
Scores
Five performance levels on a scale of 650 to 850. In grade 6 mathematics Level 4 runs from 750 to 787 and Level 5 from 788 to 850.

Checked October 12, 2026 against New Meridian's mathematics blueprints, unit structures and grade 6 evidence statement tables, and the PARCC score ranges printed by the District of Columbia's state education office. Rules change, so confirm with the agency itself before your test.

The published math test design

Next step Next grade: PARCC math, grade 7More 6th grade math

All 52 questions

Major content 20

  • 27 is 60% of what number? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.RP.3c-2
  • A 12-ounce bag of trail mix costs $3. What is the unit rate in ounces per dollar? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.RP.2
  • A city records elevation in feet, with sea level as 0. A valley floor is 35 feet below sea level. Which number shows its elevation? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.NS.5
  • A class has 80 students and 35% of them walk to school. How many students walk? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.RP.3c-1
  • A fish swims at an elevation less than −15 meters, where the water surface is 0. Which is true? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.NS.7d
Show all 52 questions (47 more)

Major content, continued

  • A fruit bowl holds 8 apples and 12 oranges and nothing else. What is the ratio of apples to all the fruit, in simplest form? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.RP.1
  • A hose adds 8 gallons of water to an empty pool each minute. Which equation gives the gallons, g, in the pool after t minutes? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.EE.9
  • A rope 4 1/2 meters long is cut into pieces that are each 3/8 meter long. How many pieces are there? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.NS.1-2
  • A table of equivalent ratios pairs 2 cups of juice with 5 cups of water, and 6 cups of juice with 15 cups of water. How many cups of water go with 14 cups of juice? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.RP.3a
  • A train travels 225 miles in 3 hours at a constant speed. How far does it travel in 5 hours at that speed? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.RP.3b
  • Five tickets cost $42.50, and each ticket costs the same amount. Which equation and solution give the price, p, of one ticket? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.EE.7
  • On a horizontal number line, which number is halfway between −2 and −1? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.NS.6c-1
  • Point P is at (−3, 5) on a coordinate plane. It is reflected across the x-axis. Where is its image? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.NS.6b-2
  • The statement −9 < −4 is true. What does it say about the two numbers on a horizontal number line? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.NS.7a
  • There are 3 feet in 1 yard. A ribbon is 7.5 yards long. How many feet long is the ribbon? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.RP.3d
  • What is the distance between the points (−6, 2) and (3, 2) on a coordinate plane? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.NS.8
  • What is the value of (0.3)²? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.EE.1-2
  • What is the value of 2x³ + 7 when x = 3? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.EE.2c-1
  • Which expression is equivalent to 6a + 4 − 2a? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.EE.4
  • Which expression means "subtract 9 from the product of 5 and k"? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim A, major content, evidence statement 6.EE.2a

Additional and supporting content 10

  • A right rectangular prism is 4 1/2 inches long, 2 inches wide and 2 1/2 inches tall. What is its volume? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.G.2-2
  • A right triangle has legs of 9 inches and 14 inches. What is its area? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.G.1
  • The net of a rectangular prism is made of two 3 cm by 4 cm rectangles, two 3 cm by 6 cm rectangles and two 4 cm by 6 cm rectangles. What is the surface area of the prism? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.G.4
  • Seven students read 2, 3, 3, 5, 6, 8 and 15 books over the summer. What is the median number of books? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.SP.5
  • What is 4.6 × 3.25? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.NS.3-3
  • What is 19.44 ÷ 0.36? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.NS.3-4
  • What is 38.47 + 6.905? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.NS.3-1
  • What is 8,265 ÷ 29? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.NS.2
  • What is the greatest common factor of 48 and 84? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.NS.4-1
  • Which expression shows 42 + 70 as the greatest common factor of the two numbers times a sum? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim B, additional and supporting content, evidence statement 6.NS.4-2

Reasoning 10

  • A club has d dollars after w weeks, where d = 15w. Ana says that after 6 weeks the club has $21. Which statement corrects her? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.8.2
  • A strip 2 units long is marked off in pieces that are each 2/3 unit long, and exactly 3 pieces fit. Which equation does the diagram show? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.3
  • Ben says −2.5 is greater than −2 because 2.5 is greater than 2. Which statement corrects him? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.4
  • Is x + x + 2 equivalent to 2(x + 1) for every value of x? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.7
  • Kai says 3(x + 4) is the same as 3x + 4. Which statement explains his mistake? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.1.1
  • Points A(−3, 2) and B(−3, −6) are on a coordinate plane. Tia says they are 4 units apart because 6 − 2 = 4. How far apart are they? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.5
  • Raj says a box that is 3 cm by 4 cm by 5 cm has a volume of 12 cubic centimeters, because 3 + 4 + 5 = 12. Which statement corrects him? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.9
  • Six pens cost $9. To find the cost of 10 pens, a student writes "9 ÷ 6 = 1.5 × 10 = 15". The answer, $15, is right. What is wrong with the work? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.8.1
  • To solve 4x = 34, Mia divides both sides by 4 and gets x = 8.5. Which reason justifies her step? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.6
  • Zoe says 6 ÷ 3/4 = 8. Which multiplication shows that she is right? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim C, reasoning, evidence statement 6.C.2

Modeling 12

  • A baker has 7 1/2 pounds of flour. She uses 2 3/4 pounds for bread and 1 5/8 pounds for rolls. How much flour is left? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.2
  • A bus ticket costs $2.85, and about 190 riders buy a ticket each day. Which is the best estimate of the ticket money collected in 5 days? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.3
  • A class of 30 students voted on a trip. 40% chose the zoo, and the rest chose the museum. How many more students chose the museum than the zoo? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.1
  • A jar holds about 48 marbles in each layer and is about 11 layers deep. Each marble weighs about 5 grams. Which is the best estimate of the weight of all the marbles? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.3
  • A point starts at (2, 3) on a coordinate grid. It moves 4 units right and 2 units up, and then 3 units left. Where is it now? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.2
  • A store sells 3 pounds of apples for $5.40. Maya buys 5 pounds at that rate and pays with a $20 bill. How much change does she get? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.1
  • An aquarium is a rectangular prism 30 inches long, 12 inches wide and 16 inches tall. It is filled to 4 inches below the top. What volume of water is in it? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.2
  • Four friends share the cost of 3 pizzas equally. Each pizza costs $13.80. How much does each friend pay? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.2
  • Jo runs at a constant rate of 6 miles per hour. She has already run 4 miles. How many more minutes will she take to reach 10 miles? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.1
  • On a coordinate map, the corners of a park are at (−2, 1), (4, 1), (4, 5) and (−2, 5). Each unit stands for 10 meters. What is the perimeter of the park? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.1
  • One batch of pancakes needs 3/4 cup of milk. Dan has 6 cups of milk and sets aside 1 1/2 cups for drinking. How many batches can he make with the rest? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.1
  • The ratio of red tiles to blue tiles in a pattern is 2:3, and the pattern has 45 tiles in all. A new pattern uses twice as many red tiles and the same blue tiles. How many tiles are in the new pattern? Grade 6 Mathematics Evidence Statement Tables (PARCC test design, New Meridian), sub-claim D, modeling, evidence statement 6.D.1

How this list was compiled: Outline: the Grade 6 Mathematics Evidence Statement Tables of the PARCC test design, https://resources.newmeridiancorp.org/wp-content/uploads/2019/07/Grade-6-Math-Evidence-Statements_with-ABO-subclaim-points_a11y.pdf, with the short-form Mathematics High Level Blueprint, https://resources.newmeridiancorp.org/wp-content/uploads/2019/07/NMC-Math-ABO-High-Level-Blueprint.pdf, both published by New Meridian, read 2026-10-12. Each question names the sub-claim and the evidence statement it practices. Every calculation is worked out again from the numbers in the question. Licence: Own work. Questions, answer choices and explanations were written for this site from the published evidence statements. Nothing is copied or reworded from a PARCC test, a released item, a practice test, an example in the evidence tables or another practice test.

How it works

Sixth grade math practice that follows the published PARCC evidence statements, with one question for each of the 52 points on the short-form blueprint. Unofficial and our own: this site is not affiliated with New Meridian, CCSSO or any state that has given PARCC tests.

Read the full guide

What the grade 6 blueprint weighs

The short-form blueprint gives grade 6 mathematics 52 points in four parts. Major content, 20: ratios, unit rates and percents, dividing fractions, negative numbers, the coordinate plane, expressions and one-step equations. Additional and supporting content, 10: long division, decimal arithmetic, common factors, area, volume, nets and statistics. Reasoning, 10: explaining a method or finding the flaw in one. Modeling, 12: multi-step problems and reasoned estimates.

Is the PARCC test still given in 6th grade?

The District of Columbia gave PARCC tests from 2015 to 2023 and now gives DC CAPE, which it says measures the same knowledge and skills. New Meridian still publishes the test design that these questions follow.

  • The evidence tables mark long division and decimal arithmetic non-calculator. Work those questions on paper.
  • Grade 6 equations stay in two forms, x + p = q and px = q. Practice writing the equation before solving it.

Questions and answers

How many questions are on the 6th grade PARCC math test?

The full-form blueprint lists 38 scored tasks: 31 Type I, 4 Type II and 3 Type III. The short form lists 29: 23, 3 and 3, worth 52 points. Field-test items that do not count are added to both.

How long is the PARCC math test in 6th grade?

It has three units. Each unit lasts 80 minutes on the full form and 60 minutes on the short form.

Can you use a calculator on the 6th grade PARCC math test?

On part of it. On the full form, unit 1 is non-calculator and units 2 and 3 are calculator units. On the short form, unit 1 has a non-calculator section and a calculator section.

What is a good PARCC math score in 6th grade?

The design sets performance levels, not a pass mark. On the 650 to 850 scale, the District of Columbia's education office prints Level 4 for grade 6 mathematics as 750 to 787 and Level 5 as 788 to 850.

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