• 42 questions

6th Grade Math TCAP Practice Test

Grade 6 math in the four reporting categories of Tennessee's TCAP blueprint, with the worked steps under every answer.

A rope 3/4 meter long is cut into pieces that are each 1/12 meter long. How many pieces are there?

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

Print covers the next 42 questions. Share this set copies a link to the same questions in the same order.

Exam mode: 42 questions, 115 minutes.

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Unofficial practice questions, not affiliated with the Tennessee Department of Education. Bank checked October 9, 2026.

The real test: TCAP math, grade 6

Time limit
115 minutes
Subparts
Three, taken online: 40 minutes without a calculator, then 35 minutes and 40 minutes with one.
Items
43 to 53 in all. 37 to 42 of them count, and the others are field-test items.
Points
One for each item. There is no partial credit.
Largest category
Number Relationships, 30 to 40% of items.
Other categories
Expressions and Equations 30 to 35%, Geometry and Data 15 to 20%, Ratios and Rates 12 to 18%.
Calculator
Four-function or scientific on Subparts 2 and 3; functions such as linear graphing are not allowed.

Checked October 9, 2026 against the TCAP Assessment Blueprint, Math, Grade 6; the TCAP Mathematics Grades 6-8 Assessment Overview (June 2026); and the Math TCAP Calculator Guidance for Grades 3-EOC. Rules change, so confirm with the agency itself before your test.

The state's TCAP math page

Next step Grade 6 science: a full TCAP practice testNext step: grade 7 math practice

All 42 questions

Number Relationships 15

  • A baker has 5/6 pound of dough. One loaf takes 2/3 pound. How many loaves can the dough make, counting a part of a loaf? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.A.1
  • A florist has 56 roses and 98 tulips. She makes identical bunches and uses every flower. What is the greatest number of bunches she can make? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.B.4
  • A red light blinks every 9 seconds and a blue light blinks every 12 seconds. They blink together now. After how many seconds do they next blink together? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.B.4
  • A rope 3/4 meter long is cut into pieces that are each 1/12 meter long. How many pieces are there? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.A.1
  • A scuba diver is 35 feet below sea level. Which number shows the diver's elevation, and what does 0 stand for? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.C.5
  • Mara buys 3 notebooks at $2.85 each and pays with a $10 bill. How much change does she get? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.B.3
Show all 42 questions (36 more)

Number Relationships, continued

  • One account has a balance of −$45 and another has a balance of −$30. Which statement is true? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.C.7c
  • The opposite of a number n is 14. What do you get when you take the opposite of n twice? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.C.6a
  • The point (−6, 2) is reflected across the y-axis. What are the coordinates of the new point? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.C.6b
  • What is 6.4 × 0.45? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.B.3
  • What is 9.36 ÷ 0.4? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.B.3
  • What is 7,912 ÷ 23? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.B.2
  • What is the distance between the points (−3, 5) and (6, 5) on a coordinate plane? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.C.8
  • Which expression writes 36 + 60 as the greatest common factor of the two numbers times a sum of two whole numbers that share no common factor? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.B.4
  • Which list puts −3.5, −5, −1/4 and 2 in order from least to greatest? Tennessee Academic Standards for Mathematics, grade 6, standard 6.NS.C.7a

Expressions and Equations 13

  • A rectangle is 6 units wide and (2x + 7) units long. Which expression gives its area? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.A.3
  • A ride is open to anyone who is at least 48 inches tall. Which inequality shows the heights h, in inches, of people who may ride? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.B.8
  • A table pairs x = 2, 4 and 6 with y = 7, 14 and 21. Which equation relates y to x? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.C.9b
  • In the expression 6x + 9, which number is the coefficient? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.A.2b
  • Kai earns $12 for each lawn he mows. Which equation gives his earnings e for m lawns, and which variable is the dependent variable? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.C.9a
  • The surface area of a cube is A = 6s², where s is the length of an edge. What is A when s = 5? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.A.2c
  • Tickets cost $9 each, and an order has one $4 service fee. Which expression gives the cost of an order of t tickets? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.B.6
  • What is the solution of (2/3)x = 12? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.B.7
  • What is the solution of x + 3.6 = 10.1? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.B.7
  • What is the value of 4² + 3³? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.A.1
  • Which expression is equivalent to 7y + 2y + 4? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.A.4
  • Which expression means "twice the sum of a number n and 6"? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.A.2a
  • Which number from the set {3, 4, 5, 6} makes the equation 3x + 2 = 17 true? Tennessee Academic Standards for Mathematics, grade 6, standard 6.EE.B.5

Ratios and Rates 7

  • A bottle holds 2.4 liters. How many milliliters is that? Tennessee Academic Standards for Mathematics, grade 6, standard 6.RP.A.3d
  • A cyclist rides 45 miles in 3 hours at a constant speed. At that speed, how long does a 75-mile ride take? Tennessee Academic Standards for Mathematics, grade 6, standard 6.RP.A.3b
  • A paint mix uses 3 cups of blue for every 5 cups of white. How many cups of white go with 12 cups of blue? Tennessee Academic Standards for Mathematics, grade 6, standard 6.RP.A.3a
  • A parking lot holds 8 trucks and 12 cars. What is the ratio of trucks to all the vehicles in the lot? Tennessee Academic Standards for Mathematics, grade 6, standard 6.RP.A.1
  • A printer prints 96 pages in 8 minutes. What is its unit rate? Tennessee Academic Standards for Mathematics, grade 6, standard 6.RP.A.2
  • A team wins 45% of its 80 games. How many games does it win? Tennessee Academic Standards for Mathematics, grade 6, standard 6.RP.A.3c
  • In one grade, 24 students ride the bus. They are 30% of the grade. How many students are in the grade? Tennessee Academic Standards for Mathematics, grade 6, standard 6.RP.A.3c

Geometry and Data 7

  • A planter box is 4 1/2 feet long, 2 feet wide and 1 1/3 feet high. What is its volume? Tennessee Academic Standards for Mathematics, grade 6, standard 6.G.A.2
  • A rectangle has vertices at (−3, 2), (5, 2), (5, −4) and (−3, −4). What is its perimeter? Tennessee Academic Standards for Mathematics, grade 6, standard 6.G.A.3
  • A student wants to study pets. Which of these is a statistical question? Tennessee Academic Standards for Mathematics, grade 6, standard 6.SP.A.1
  • A triangular sail has a base of 18 feet and a height of 11 feet. What is its area? Tennessee Academic Standards for Mathematics, grade 6, standard 6.G.A.1
  • Five students scored 7, 9, 5, 10 and 9 on a quiz. What is the mean score? Tennessee Academic Standards for Mathematics, grade 6, standard 6.SP.B.5c
  • The high temperatures for a week were 61, 58, 70, 66, 59, 73 and 64 degrees. Which measure tells how much the temperatures vary, and what is its value? Tennessee Academic Standards for Mathematics, grade 6, standard 6.SP.A.3
  • The net of a cube is made of 6 squares, each with sides of 4 inches. What is the surface area of the cube? Tennessee Academic Standards for Mathematics, grade 6, standard 6.G.A.4

How this list was compiled: Outline: the TCAP Assessment Blueprint, Math, Grade 6, of the Tennessee Department of Education, https://www.tn.gov/content/dam/tn/education/blueprints/Math_Blueprints_Grade_6.pdf, linked from Blueprints for 2026-27, https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html, and the TCAP Mathematics Grades 6-8 Assessment Overview (June 2026), https://www.tn.gov/content/dam/tn/education/testing/overviews/Grades_6-8_Math_Assessment_Overview.pdf, both read 2026-10-09. Each question names the standard it practices in the Tennessee Academic Standards for Mathematics, in the copy on the State Board of Education's site, https://www.tn.gov/content/dam/tn/stateboardofeducation/documents/standards/math/TN_Revised_Standards_K-4th_year_math_6-9-2022.pdf, read 2026-10-09. The answers are 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 a TCAP or TNReady test, an item release, a practice test of the state or another practice test.

How it works

Unofficial practice for Tennessee's grade 6 math test, the TCAP that many families still call TNReady. Every question was written for this site from the Tennessee math standards, and none comes from a real test. Not affiliated with the Tennessee Department of Education.

Read the full guide

What a 6th grade TN Ready math practice test has to cover

Tennessee's blueprint splits grade 6 into four reporting categories, and the questions here keep its shares. Number Relationships is the largest: dividing fractions, decimal arithmetic, factors and multiples, and negative numbers. Expressions and Equations is nearly as large: exponents, equivalent expressions, one-step equations and inequalities. Ratios and Rates covers unit rates and percents. Geometry and Data covers area, volume, nets, mean, median and range.

How each answer was checked

The steps sit under every answer with the grade 6 standard, such as 6.NS.B.4. Each answer was worked out a second time. Wrong choices come from real slips, like multiplying when a fraction problem calls for dividing.

  • No calculator is allowed on the first of the three subparts, so work the fraction and decimal questions by hand.

Questions and answers

Is this a TNReady math practice test for 6th grade?

Yes. TNReady is the everyday name; the state's own blueprint calls the test TCAP, the Tennessee Comprehensive Assessment Program. Both names mean the same grade 6 math test, and this practice follows its blueprint.

How many questions are on the 6th grade math TCAP?

43 to 53 items over three subparts. 37 to 42 of them count toward the score, and the others are field-test items. Every item is worth one point. This page has 42 questions.

How long is the 6th grade math TCAP test?

115 minutes: 40 for Subpart 1, 35 for Subpart 2 and 40 for Subpart 3. Students in grades 6 to 8 take the math test online.

Is a calculator allowed on the 6th grade math TCAP?

On two of the three subparts. Subpart 1 is calculator-prohibited. On Subparts 2 and 3 a four-function or scientific calculator is allowed, and a scientific calculator is built into the online test.

Are these released TCAP math questions?

No. The state keeps practice tests and item releases of its own with its assessment resources, linked in the box under the questions.

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