• 42 questions

TNReady Practice Test 5th Grade Math

Fifth grade math for Tennessee's state test: fractions, decimals, volume and the coordinate grid, each answer shown step by step.

What is the value of 36 ÷ (4 + 2) × 3?

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, 110 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 5

Time limit
110 minutes
Subparts
Three: 50 minutes with no calculator, then two of 30 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. Items are multiple choice or multiple select.
Categories
Geometric and Measurement Concepts 27 to 35% of items, Fractions 25 to 33%, Computation and Expressions 20 to 25%, Number Relationships and Patterns 15 to 20%.
How it is given
On paper: a test booklet and a separate answer document.
Calculator
A four-function calculator on Subparts 2 and 3. Calculators with fraction functions are not allowed.

Checked October 9, 2026 against the TCAP Assessment Blueprint, Math, Grade 5; the TCAP Mathematics Grades 3-5 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 5 science: a full TCAP practice testReading, science and math for grades 3 to 8

All 42 questions

Computation with Whole Numbers and Decimals; Evaluating Expressions 9

  • A school orders 138 boxes of pencils. Each box holds 144 pencils. How many pencils is that? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.B.5
  • A shop packs 950 stickers into packs of 32. How many full packs can it make, and how many stickers are left over? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.B.6
  • Mia buys 3 notebooks that cost $2.45 each. She pays with a $10 bill. How much change does she get? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.B.7
  • What is 324 × 56? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.B.5
  • What is 1,872 ÷ 24? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.B.6
  • What is the value of 5 × [20 − (3 + 9)]? Tennessee Academic Standards for Mathematics, grade 5, standard 5.OA.A.1
  • What is the value of 36 ÷ (4 + 2) × 3? Tennessee Academic Standards for Mathematics, grade 5, standard 5.OA.A.1
  • Which expression means "subtract 6 from 15, then multiply by 4"? Tennessee Academic Standards for Mathematics, grade 5, standard 5.OA.A.2
  • Without calculating, how does the value of 5 × (2,468 + 319) compare with the value of 2,468 + 319? Tennessee Academic Standards for Mathematics, grade 5, standard 5.OA.A.2
Show all 42 questions (33 more)

Fractions 12

  • A 26-foot ribbon is cut into 4 pieces of equal length. How long is each piece? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.B.3
  • A baker has 8 cups of sugar. Each batch of cookies uses 1/3 cup. How many batches can the baker make? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.B.7
  • A hiker walks 1 3/4 miles before lunch and 2 5/8 miles after lunch. How far does the hiker walk in all? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.A.2
  • A jug holds 1/2 gallon of juice. Four children share it equally. How much juice does each child get? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.B.7
  • A rectangular garden bed is 2/3 yard long and 3/8 yard wide. What is its area? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.B.4
  • A student says that 1/2 + 4/9 = 5/11. How can you tell the answer is wrong without adding? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.A.2
  • Four pizzas are shared equally among 5 friends. How much pizza does each friend get? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.B.3
  • One batch of bread uses 3 1/2 cups of flour. How much flour is needed for 1 1/2 batches? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.B.6
  • What is 3/5 + 3/4? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.A.1
  • What is 5 1/2 − 2 2/3? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.A.1
  • What is the product of 3/4 and 8/9? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.B.4
  • Without multiplying, which statement about 7/8 × 24 is true? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NF.B.5

Number Relationships and Patterns 8

  • In the number 5.55, how does the value of the 5 in the tenths place compare with the value of the 5 in the hundredths place? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.A.1
  • Pattern A starts at 0 and follows the rule "add 5". Pattern B starts at 0 and follows the rule "add 20". How does each term of Pattern B compare with the matching term of Pattern A? Tennessee Academic Standards for Mathematics, grade 5, standard 5.OA.B.3
  • What is 6.15 × 10²? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.A.2
  • What is 23.847 rounded to the nearest hundredth? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.A.4
  • What is 382.5 ÷ 100? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.A.2
  • Which comparison of two decimals is true? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.A.3
  • Which shows 6.058 in expanded notation? Tennessee Academic Standards for Mathematics, grade 5, standard 5.NBT.A.3
  • The x-values follow the rule "add 2" and the y-values follow the rule "add 6". Both start at 0. Which ordered pair is made from the 4th term of each pattern? Tennessee Academic Standards for Mathematics, grade 5, standard 5.OA.B.3

Geometric and Measurement Concepts 13

  • A cooler holds 2 gallons of water. One gallon is 4 quarts and one quart is 4 cups. How many cups does the cooler hold? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.A.1
  • A fish tank is 24 inches long, 10 inches wide and 14 inches high. What is its volume? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.C.5
  • A line plot of pencil lengths has 3 marks above 4 1/2 inches, 2 marks above 5 inches and 1 mark above 5 1/2 inches. What is the total length of the six pencils? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.B.2
  • A line plot shows the water in six beakers: 1/4, 1/4, 1/2, 1/2, 1/2 and 1 cup. If all the water is shared equally among the six beakers, how much is in each? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.B.2
  • A planter is made of two rectangular prisms that do not overlap. One is 4 feet by 3 feet by 2 feet. The other is 5 feet by 3 feet by 2 feet. What is the total volume? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.C.5
  • A solid is built from unit cubes with no gaps. It has 3 layers, and each layer has 2 rows of 5 cubes. What is the volume of the solid? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.C.4
  • A trail is 4.8 kilometers long. One kilometer is 1,000 meters. How many meters long is the trail? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.A.1
  • The base of a rectangular prism has an area of 28 square centimeters. The prism is 9 centimeters tall. What is its volume? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.C.5
  • On a town map, each grid unit is 1 block. The library is at (2, 3) and the park is at (2, 8). How far apart are they? Tennessee Academic Standards for Mathematics, grade 5, standard 5.G.A.2
  • One movie lasts 2 hours 15 minutes. Another lasts 105 minutes. How many minutes longer is the first movie? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.A.1
  • Point P is at (4, 7) on a coordinate grid. Point Q is 3 units to the right of P and 2 units down. What are the coordinates of Q? Tennessee Academic Standards for Mathematics, grade 5, standard 5.G.A.1
  • What does a volume of 1 cubic centimeter describe? Tennessee Academic Standards for Mathematics, grade 5, standard 5.MD.C.3
  • Which sentence about four-sided shapes is always true? Tennessee Academic Standards for Mathematics, grade 5, standard 5.G.B.3

How this list was compiled: Outline: the TCAP Assessment Blueprint, Math, Grade 5, of the Tennessee Department of Education, https://www.tn.gov/content/dam/tn/education/blueprints/Math_Blueprints_Grade_5.pdf, linked from Blueprints for 2026-27, https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html, and the TCAP Mathematics Grades 3-5 Assessment Overview (June 2026), https://www.tn.gov/content/dam/tn/education/testing/overviews/Grades_3-5_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 the grade 5 math test of TCAP, Tennessee's state test, also known as TNReady. All 42 questions were written for this site, and none comes from a real test. Not affiliated with the Tennessee Department of Education.

Read the full guide

What a TCAP practice test for 5th grade math has to cover

The state blueprint sorts grade 5 into four reporting categories, and the questions here keep its shares. Geometric and Measurement Concepts is the largest: unit conversions, line plots, volume and the coordinate grid. Fractions comes next: adding and subtracting unlike fractions, multiplying, and dividing with unit fractions. Computation covers order of operations, multi-digit multiplication, long division and decimals. Number Relationships and Patterns covers place value, powers of ten, rounding and number patterns.

How each answer is checked

Under every answer are the steps and the grade 5 standard it practices, such as 5.NF.B.4. Wrong choices come from common slips, like adding the numerators and the denominators.

  • Subpart 1 of the real test allows no calculator. Work the computation and fraction questions by hand.

Questions and answers

Is TNReady the same as TCAP?

TCAP, the Tennessee Comprehensive Assessment Program, is the name on the state's blueprint for this test. TNReady is a name the state has also used, and it still appears in the web addresses of its testing documents.

How many questions are on the 5th grade TCAP math test?

Between 43 and 53, in three subparts. Of those, 37 to 42 count toward the score and the rest are field test items. This page has 42.

How long is the 5th grade TNReady math test?

110 minutes in all. Subpart 1 is 50 minutes with no calculator, and Subparts 2 and 3 are 30 minutes each with one.

Is the 5th grade TCAP math test on paper or online?

On paper. The state's overview says grades 4 and 5 use a paper test booklet and a separate answer document.

Are these real TNReady math questions?

No. The state's own math page is linked in the box under the questions.

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