• 42 questions

TNReady 7th Grade Math Practice Test

Grade 7 math in the four categories of Tennessee's TCAP blueprint, with the steps under every answer.

A hiker stands in a valley at an elevation of −120 feet and then climbs 120 feet. What is the hiker's new elevation?

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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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 7

Time limit
115 minutes
Subparts
Three, taken online: 40 minutes with no calculator, then 35 and 40 minutes with one.
Items
43 to 53 in all. 37 to 42 of them count; the rest are field test items.
Points
One point for each item, with no partial credit.
Largest category
Geometry and Data, 25 to 38% of items.
Other categories
Expressions and Equations 25 to 30%, Proportional Reasoning 17 to 25%, Number Relationships 17 to 23%.
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 7; 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 7 science: a full TCAP practice testNext step: grade 8 math practice

All 42 questions

Number Relationships 8

  • A diver goes down from the surface at a steady rate and reaches −42 feet after 3.5 minutes. What is the change in the diver's elevation each minute? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.NS.A.3
  • A hiker stands in a valley at an elevation of −120 feet and then climbs 120 feet. What is the hiker's new elevation? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.NS.A.1a
  • At 6 a.m. the temperature was −8°F. It rose 15 degrees by noon and then fell 11 degrees by evening. What was the evening temperature? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.NS.A.1
  • What is (−2.5)(−4)(−3)? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.NS.A.2a
  • What is the distance between −7.5 and 4 on a number line? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.NS.A.1b
  • What is −5/6 + 1/3? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.NS.A.1c
  • Which expression is equal to −(12/5)? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.NS.A.2b
  • Which fraction has a decimal form that repeats and does not end? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.NS.A.2d
Show all 42 questions (34 more)

Expressions and Equations 12

  • A gym charges a $25 sign-up fee plus $18 a month. Ari has paid $169 in all. For how many months has Ari paid? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.B.4a
  • A piece 3 3/4 feet long is cut from a board 10.5 feet long. The rest is cut into 3 equal pieces. How long is each of those pieces? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.B.3
  • A sales tax of 7% is added to a price of p dollars. Which expression gives the total cost? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.A.2
  • Dana earns $12.50 an hour and works 6.5 hours. She spends 1/5 of what she earned on lunch and bus fare. How much does she have left? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.B.3
  • Luis has $60 to rent a kayak. The rental costs $15 plus $6 for each hour. Which inequality shows the number of hours h he can pay for? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.B.4b
  • Solve for x: (2/3)x + 4 = 10 Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.B.4a
  • Solve for x: 4(x − 2.5) = 18 Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.B.4a
  • What is the solution of −3x + 5 < 17? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.B.4b
  • Which expression is 12x − 30 in factored form? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.A.1
  • Which expression is equivalent to (1/2)(6x + 10) − 2x? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.A.1
  • Which expression is equivalent to (5x − 3) − (2x − 8)? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.A.1
  • Which expression is equivalent to −2(3x − 7)? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.EE.A.1

Proportional Reasoning 9

  • A club grew from 80 members to 100 members. What was the percent increase? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.RP.A.3
  • A graph shows that pay is proportional to hours worked. The line passes through (0, 0) and (1, 14). What does the point (1, 14) mean? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.RP.A.2d
  • A jacket with a regular price of $64 is marked down 25%. What is the sale price? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.RP.A.3
  • A savings account holds $600 and pays 4% simple interest each year. How much interest does it earn in 3 years? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.RP.A.3
  • A snail moves 2/3 foot in 1/6 minute. At that rate, what is its speed in feet per minute? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.RP.A.1
  • A student measures a table as 47 centimeters wide. Its actual width is 50 centimeters. What is the percent error of the measurement? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.RP.A.3
  • In a table, y is proportional to x. When x is 6, 8 and 12, y is 15, 20 and 30. What is the constant of proportionality? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.RP.A.2b
  • Nine pounds of apples cost $13.50. The cost c is proportional to the number of pounds p. Which equation shows the relationship? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.RP.A.2c
  • Which set of (x, y) pairs shows a proportional relationship? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.RP.A.2a

Geometry and Data 13

  • A bike wheel has a diameter of 20 inches. About how far does the wheel roll in one full turn? Use 3.14 for π. Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.G.B.3
  • A circle has a circumference of 16π centimeters. What is its area? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.G.B.3
  • A middle school has 720 students. Which sample is most likely to represent what all of them think about a later start to the school day? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.SP.A.1
  • A right prism has a triangular base. The triangle has a base of 6 centimeters and a height of 4 centimeters, and the prism is 10 centimeters long. What is its volume? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.G.B.5
  • A spinner landed on green 27 times in 90 spins. Based on these results, about how many times would you expect green in 400 spins? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.SP.C.6
  • Class A quiz scores: 6, 7, 7, 8, 9, 9, 10. Class B quiz scores: 4, 5, 5, 6, 7, 7, 8. Which statement do the data support? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.SP.B.3
  • Each letter of the word TENNESSEE is written on its own card, and one card is drawn at random. What is the probability of drawing an E? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.SP.C.7a
  • In a random sample of 40 students at a school, 14 walk to school. The school has 600 students. About how many students at the school would you expect to walk? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.SP.A.2
  • On a floor plan, 1 centimeter stands for 2 meters. A room is 4 centimeters long and 3 centimeters wide on the plan. What is the area of the real room? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.G.A.1
  • Six houses on a street sold for prices close together, and a seventh sold for far more. Which pair of measures best describes the center and spread of the seven prices? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.SP.D.8b
  • Two supplementary angles measure (3x + 10)° and (2x + 20)°. What is the value of x? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.G.B.4
  • Which probability describes an event that is unlikely but not impossible? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.SP.C.5
  • Which three side lengths can form a triangle? Tennessee Academic Standards for Mathematics (current, approved 2021), grade 7, standard 7.G.A.2

How this list was compiled: Outline: the TCAP Assessment Blueprint, Math, Grade 7, of the Tennessee Department of Education, https://www.tn.gov/content/dam/tn/education/blueprints/Math_Blueprints_Grade_7.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 (current standards, approved by the State Board of Education in 2021), 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 the grade 7 math test of TCAP, which many families call TNReady. Every question was written for this site from the Tennessee standards; none comes from a real test. Not affiliated with the Tennessee Department of Education.

Read the full guide

What a seventh grade math practice test for Tennessee has to cover

The state blueprint sorts grade 7 into four reporting categories, and the questions here keep its shares. Geometry and Data is the largest: scale drawings, circles, angles, volume, sampling and probability. Expressions and Equations covers equivalent expressions, two-step equations and inequalities. Proportional Reasoning covers unit rates, constants of proportionality and percents. Number Relationships is arithmetic with negative numbers, fractions and decimals.

Checking an answer

Under each answer are the steps and the grade 7 standard, such as 7.RP.A.3. The arithmetic was done twice. Wrong choices come from common slips, like dividing by the new amount in a percent increase.

  • Subpart 1 of the real test allows no calculator. Try the Number Relationships questions without one.

Questions and answers

Is this a TCAP practice test for 7th grade math?

Yes. The state's blueprint for this test is titled TCAP, the Tennessee Comprehensive Assessment Program. TNReady is a name still in everyday use, and it remains in the web addresses of the state's testing pages.

How many questions are on the 7th grade TNReady math test?

43 to 53 items across three subparts. 37 to 42 of them count, and the rest are field test items. Each item is worth one point, with no partial credit. This page has 42 questions.

How long is the TNReady 7th grade math test?

115 minutes in all: Subpart 1 is 40 minutes, Subpart 2 is 35 and Subpart 3 is 40. Grades 6 to 8 take the test online.

Can you use a calculator on the TNReady 7th grade math test?

On Subparts 2 and 3, yes: a four-function or scientific calculator. Subpart 1 allows none. The state's guidance for grades 6 to 8 bars functions such as linear graphing.

Are these real TNReady math questions?

No. Every question was written for this site, and none is a released item. The state lists practice tests and item releases of its own among its assessment resources.

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