• 42 questions

TCAP Math Practice Test 3rd Grade

Forty-two grade 3 questions weighted like Tennessee's TCAP blueprint, heaviest on measurement and geometry, each answer worked in steps.

Which sentence describes 5 × 9?

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.

More options

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

The real test: TCAP math, grade 3

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.
Reporting categories
Geometric and Measurement Concepts 35 to 43%, Computation with Whole Numbers 22 to 30%, Fractions 15 to 20%, Number Relationships and Patterns 15 to 20%.
How it is given
On paper. Grade 3 students write every answer in the test booklet itself.
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 3; 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 TNReady practice for grades 3 to 8Next step: grade 4 TCAP practice

All 42 questions

Computation with Whole Numbers 11

  • 36 crayons are put into 4 boxes, the same number in each box. In 36 ÷ 4 = 9, what does the 9 stand for? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.A.2
  • A baker puts 7 muffins on each of 6 trays. How many muffins are there in all? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.A.3
  • A ribbon is 72 inches long. It is cut into pieces that are each 8 inches long. How many pieces are there? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.A.3
  • What is 7 × 60? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NBT.A.3
  • What is 9 × 6? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.C.7
  • What is 375 rounded to the nearest ten? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NBT.A.1
  • What is 648 rounded to the nearest hundred? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NBT.A.1
  • What is 803 − 256? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NBT.A.2
  • What number makes this equation true? ? ÷ 5 = 9 Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.A.4
  • Which is the expanded form of 40,706? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NBT.A.4
  • Which sentence describes 5 × 9? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.A.1
Show all 42 questions (31 more)

Fractions 7

  • A number line that runs from 0 to 1 is split into 6 equal parts. Which fraction names the end of the first part? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NF.A.2a
  • A pizza is cut into 8 equal slices. Maya eats 3 of the slices. What fraction of the pizza does she eat? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NF.A.1
  • All the fractions are parts of the same whole. Which comparison is true? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NF.A.3d
  • How many parts of size 1/5 make the fraction 4/5? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NF.A.1
  • On a number line, a frog starts at 0 and makes 7 jumps. Each jump is 1/4 long. Where does the frog land? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NF.A.2b
  • Which fraction is equal to 2/3? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NF.A.3b
  • Which fraction is equal to the whole number 5? Tennessee Academic Standards for Mathematics, grade 3, standard 3.NF.A.3c

Number Relationships and Patterns 8

  • A class has 28 students. 4 are absent. The rest sit in groups of 6. Which equation finds t, the number of groups? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.D.8
  • A store sells 289 apples on Monday and 412 apples on Tuesday. Round each number to the nearest hundred. About how many apples is that in all? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.D.8
  • Jon buys 3 packs of pencils. Each pack has 8 pencils. He gives 5 pencils away. How many pencils does he have left? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.D.8
  • Look at the row for 4 in a multiplication chart: 4, 8, 12, 16, 20 and so on. What is true of every product in that row? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.D.9
  • Which is another way to find 6 × 9? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.B.5
  • Which multiplication fact helps you solve 54 ÷ 9? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.B.6
  • Which shows a way to find 2 × 5 × 7? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.B.5
  • You know that 7 × 8 = 56. What is 8 × 7? Tennessee Academic Standards for Mathematics, grade 3, standard 3.OA.B.5

Geometric and Measurement Concepts 16

  • A rectangle is 9 centimeters long and 4 centimeters wide. What is its perimeter? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.D.8
  • A rectangle is split into 4 parts that have equal areas. What fraction of the whole rectangle is the area of each part? Tennessee Academic Standards for Mathematics, grade 3, standard 3.G.A.2
  • A room is shaped like an L. It is made of a 4 by 3 rectangle and a 2 by 5 rectangle that do not overlap. The sides are in meters. What is the area of the room? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.C.7d
  • A rug is 8 feet long and 5 feet wide. What is its area? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.C.7b
  • A shape is covered by 12 unit squares with no gaps and no overlaps. What is the area of the shape? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.C.5b
  • A student measures five pencils in inches: 4 1/2, 5, 4 1/2, 5 1/4 and 4 1/2. On a line plot of the lengths, how many X marks go above 4 1/2? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.B.4
  • A triangle has a perimeter of 30 inches. Two of its sides are 8 inches and 12 inches. How long is the third side? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.D.8
  • Ava has 2 quarters, 1 dime and 3 pennies. How much money does she have? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.A.1b
  • In a bar graph, each square stands for 5 votes. The bar for cats is 6 squares tall and the bar for dogs is 9 squares tall. How many more votes did dogs get? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.B.3
  • In a pictograph, each picture of a book stands for 2 books read. Monday has 7 pictures. How many books were read on Monday? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.B.3
  • Soccer practice starts at 4:35 and lasts 40 minutes. What time does it end? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.A.1a
  • Which figure is a polygon? Tennessee Academic Standards for Mathematics, grade 3, standard 3.G.A.3
  • Which is the best estimate for the mass of one large paper clip? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.A.2
  • Which rectangle has the same area as a 3 by 8 rectangle but a different perimeter? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.D.8
  • Which shape is a quadrilateral but is not a rectangle, a rhombus or a square? Tennessee Academic Standards for Mathematics, grade 3, standard 3.G.A.1
  • Which unit is best for measuring the water in a full bathtub? Tennessee Academic Standards for Mathematics, grade 3, standard 3.MD.A.2

How this list was compiled: Outline: the TCAP Assessment Blueprint, Math, Grade 3, of the Tennessee Department of Education, https://www.tn.gov/content/dam/tn/education/blueprints/Math_Blueprints_Grade_3.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

Forty-two unofficial questions for Tennessee's grade 3 TCAP math test, which many families still call TNReady. Each was written for this page from the state's grade 3 standards. This site is not affiliated with the Tennessee Department of Education.

Read the full guide

What third graders are tested on

Measurement and geometry make up the biggest part of the grade 3 blueprint, 35 to 43 percent of items: telling time, counting money, mass and liquid volume, bar graphs and line plots, area, perimeter and sorting shapes. Whole number computation is next at 22 to 30 percent: multiplication and division facts, rounding, and sums and differences within 1,000. Fractions get 15 to 20 percent, and so does the category for multiplication properties, two-step problems and patterns.

Reading the explanations

Each explanation walks through the steps in plain words and is followed by its standard, such as 3.NF.A.3d for comparing fractions. Many wrong choices are what a common slip gives: adding when the problem multiplies, or finding perimeter in place of area.

  • No calculator is allowed on Subpart 1, the longest part, so knowing the multiplication facts by heart saves the most time.

Questions and answers

Is a TNReady practice test for 3rd grade math the same as TCAP practice?

Yes. TCAP, the Tennessee Comprehensive Assessment Program, is the name on the state's blueprint. TNReady is another name many people use, and it is still in the web addresses of the state's testing pages. Both mean the same grade 3 math test.

How many questions does the 3rd grade TCAP math test have?

Between 43 and 53 items, split over three subparts. Only 37 to 42 are scored; the others are field test items mixed in. Every item is worth one point with no partial credit, and all are multiple choice or multiple select.

How long should a TN Ready grade 3 math practice test take?

The real test allows 110 minutes: 50 for Subpart 1 and 30 each for Subparts 2 and 3. Exam mode here gives the same 110 minutes for its 42 questions.

Do 3rd graders get a calculator on TCAP math?

Only on Subparts 2 and 3, and only a four-function one. The state's guidance keeps calculators with fraction functions out of grades 3 to 5, because students are still learning fractions.

Is the grade 3 TCAP math test on paper or on a computer?

On paper. Grade 3 uses a test booklet that students write their answers in directly. Grades 4 and 5 use a booklet with a separate answer document.

More tests

Show 8 more

Browse Civics and Law