A first grader measures a desk as 9 paper clips long. A classmate measures the same desk with longer craft sticks and gets 3. What do the Grade 1 standards ask students to do with the two results?19 Texas Administrative Code §111.3, Texas Essential Knowledge and Skills for Mathematics, Grade 1 (Legal Information Institute copy), (b)(7)(C). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 001
A kindergarten teacher flashes a card of four dots for one second and asks, "How many?" There is no time to count. Which skill from the Kindergarten standards is being practiced?19 Texas Administrative Code §111.2, Texas Essential Knowledge and Skills for Mathematics, Kindergarten (Legal Information Institute copy), (b)(2)(D). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 001
A school is choosing intervention materials for second graders who struggle in mathematics. According to the IES guide on Response to Intervention in mathematics, what should the materials treat in depth?Institute of Education Sciences practice guide "Assisting Students Struggling with Mathematics: Response to Intervention (RtI) for Elementary and Middle Schools" (2009), recommendation 2. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 001
Show all 50 questions (47 more)
Mathematics instruction, continued
A second grader insists that 1/8 of a sandwich is more than 1/4 of the same sandwich "because 8 is more than 4." Which idea do the Grade 2 standards ask students to explain?19 Texas Administrative Code §111.4, Texas Essential Knowledge and Skills for Mathematics, Grade 2 (Legal Information Institute copy), (b)(3)(B). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 001
A student writes 52 − 27 = 35, 81 − 46 = 45 and 63 − 38 = 35. Which error pattern do the three answers share?19 Texas Administrative Code §111.4, Texas Essential Knowledge and Skills for Mathematics, Grade 2 (Legal Information Institute copy), (b)(4)(B). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 001
An interventionist ends each session with a short timed round on facts the students already understand. According to the IES guide on elementary mathematics intervention, what are regular timed activities for?Institute of Education Sciences practice guide "Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades" (2021), recommendation 6. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 001
During centers, a prekindergarten teacher notes which children count six objects correctly and which skip objects, then forms the next day's small groups from the notes. Which recommendation of the IES guide on teaching math to young children does this follow?Institute of Education Sciences practice guide "Teaching Math to Young Children" (2013), recommendation 3. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 001
In an intervention group, a teacher has students say "numerator" and "denominator" in place of "top number" and "bottom number" and use the words when they explain their work. Which recommendation of the IES guide on elementary mathematics intervention is this?Institute of Education Sciences practice guide "Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades" (2021), recommendation 2. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 001
Number concepts and operations 11
A checking account is overdrawn by $7. The owner deposits $12 and then pays a $9 bill from the account. What is the balance?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(3)(D). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
A class T-shirt can be ordered in 5 colors, 3 sizes and with short or long sleeves. How many different shirts can be ordered?Preparation manual for TExES Core Subjects EC–6 (391), Section 3, exam framework, Subject Exam II, Mathematics (902), Number Concepts and Operations. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
A librarian has 96 bookmarks and 120 stickers and wants to make identical prize packs with none left over. What is the greatest number of packs she can make?Preparation manual for TExES Core Subjects EC–6 (391), Section 3, exam framework, Subject Exam II, Mathematics (902), Number Concepts and Operations. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
A notebook costs $2.35. What do 14 notebooks cost?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(3)(E). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
A stadium counted 48,617 visitors. What is that number rounded to the nearest thousand?19 Texas Administrative Code §111.6, Texas Essential Knowledge and Skills for Mathematics, Grade 4 (Legal Information Institute copy), (b)(2)(D). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
An art teacher cuts 9 pounds of clay into pieces that weigh 1/6 pound each. How many pieces does she get?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(3)(L). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
How many times as large is the value of the 6 in 3,645 as the value of the 6 in 3,465?19 Texas Administrative Code §111.6, Texas Essential Knowledge and Skills for Mathematics, Grade 4 (Legal Information Institute copy), (b)(2)(A). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
One piece of ribbon is 2 5/6 yards long and another is 1 3/4 yards long. How long are the two pieces together?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(3)(H). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
Which expression is the prime factorization of 252?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(7)(A). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
Which list orders 0.305, 0.35, 0.053 and 0.5 from least to greatest?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(2)(B). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
Which number is divisible by both 3 and 4?Preparation manual for TExES Core Subjects EC–6 (391), Section 3, exam framework, Subject Exam II, Mathematics (902), Number Concepts and Operations. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 002
Patterns and algebra 9
A class measures the height of a burning candle every 10 minutes and records it in a table. Which quantity is the dependent quantity?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(6)(A). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 003
A classroom library has 240 books, and 35% of them are nonfiction. How many books are nonfiction?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(5)(B). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 003
A painter uses 2 1/2 quarts of paint to cover 20 square meters of wall. At the same rate, how much paint covers 52 square meters?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(4)(B). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 003
A piano tuner charges a $45 visit fee plus $30 for each half hour of work. Which equation gives the cost C, in dollars, of a job that takes h hours?Preparation manual for TExES Core Subjects EC–6 (391), Section 3, exam framework, Subject Exam II, Mathematics (902), Patterns and Algebra. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 003
A row of squares is built from toothpicks. One square uses 4 toothpicks, two squares side by side use 7 and three use 10. How many toothpicks does a row of 25 squares use?19 Texas Administrative Code §111.6, Texas Essential Knowledge and Skills for Mathematics, Grade 4 (Legal Information Institute copy), (b)(5)(B). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 003
A van holds at most 12 passengers, and 5 seats are already taken. Which inequality describes the number n of passengers who can still board?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(9)(A). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 003
Store A sells 12 pencils for $2.88, and Store B sells 20 of the same pencils for $4.40. Which store has the lower price for one pencil, and what is it?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(4)(D). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 003
What is the value of 4 × [15 − (6 + 3)] + 8 ÷ 2?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(4)(F). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 003
Which equation uses the distributive property to find 7 × 48?19 Texas Administrative Code §111.6, Texas Essential Knowledge and Skills for Mathematics, Grade 4 (Legal Information Institute copy), (b)(4)(D). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 003
Geometry and measurement 10
A cooler holds 5 gallons 3 quarts of punch. How many cups is that?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(7). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
A fifth-grade class builds a hierarchy chart of quadrilaterals. Which statement belongs on the chart because it is always true?Wikipedia, "Rectangle", lead section. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
A garden bed is a trapezoid with parallel sides of 14 meters and 9 meters, 6 meters apart. What is its area?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(8)(D). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
A lesson begins at 10:35 a.m. It has a 25-minute warm-up, a 40-minute activity and a 15-minute wrap-up. When does it end?19 Texas Administrative Code §111.5, Texas Essential Knowledge and Skills for Mathematics, Grade 3 (Legal Information Institute copy), (b)(7)(C). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
A student folds a paper rectangle that is not a square along one diagonal and sees that the corners do not match. How many lines of symmetry does the rectangle have?Wikipedia, "Rectangle", section on symmetry. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
A student has 3 quarters, 4 dimes, 2 nickels and 7 pennies. What is the value of the collection?19 Texas Administrative Code §111.5, Texas Essential Knowledge and Skills for Mathematics, Grade 3 (Legal Information Institute copy), (b)(4)(C). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
A student plots the point (6, 2) in the first quadrant, starting at the origin. Which movement is correct?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(8)(A). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
A teacher hands out strips of card for building triangles. Which set of three strip lengths can be joined end to end to make a triangle?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(8)(A). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
An L-shaped garden plot is made of a 12-meter by 5-meter rectangle joined to a 7-meter by 4-meter rectangle, with no overlap. What is its area?19 Texas Administrative Code §111.5, Texas Essential Knowledge and Skills for Mathematics, Grade 3 (Legal Information Institute copy), (b)(6)(D). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
One layer of unit cubes exactly covers the bottom of a box and holds 24 cubes. The box is filled by 7 such layers. What is the volume of the box?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(6)(B). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 004
Probability and statistics 7
A number cube numbered 1 to 6 is rolled twice. What is the probability that the second roll is greater than the first?19 Texas Administrative Code §111.27, Texas Essential Knowledge and Skills for Mathematics, Grade 7 (Legal Information Institute copy), (b)(6)(A). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 005
A spinner has four equal sections numbered 1 to 4. A student spins it once and tosses a fair coin once. What is the probability of an even number and heads?19 Texas Administrative Code §111.27, Texas Essential Knowledge and Skills for Mathematics, Grade 7 (Legal Information Institute copy), (b)(6)(I). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 005
A square game board is 10 inches on each side, and a 4-inch by 5-inch rectangle on it is shaded. A token lands at a random point on the board. What is the probability that it lands in the shaded part?Preparation manual for TExES Core Subjects EC–6 (391), Section 3, exam framework, Subject Exam II, Mathematics (902), Probability and Statistics. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 005
A stem-and-leaf plot of plant heights in centimeters shows 3 | 1 4 4 9, 4 | 2 6 and 5 | 0 3, where 3 | 1 means 31. What is the median height?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(13)(A). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 005
A student scored 82, 91, 76 and 88 on four tests. What score on a fifth test makes the mean of the five tests 85?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(12)(C). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 005
Heights in a large group follow a normal distribution. About what percent of the heights lie within one standard deviation of the mean?Wikipedia, "68–95–99.7 rule", lead section. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 005
Students vote for a favorite of five fruits, and the class wants to show how many votes each fruit got. Which display fits the data?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(9)(A). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 005
Mathematical processes 5
A family earns $2,150 in a month. It plans to spend $1,240 on rent, $410 on food, $330 on transport and $265 on everything else. By how much do the planned expenses exceed the income?19 Texas Administrative Code §111.7, Texas Essential Knowledge and Skills for Mathematics, Grade 5 (Legal Information Institute copy), (b)(10)(E). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 006
A student conjectures, "Multiplying a number by another number always makes it larger." Which example disproves the conjecture?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(3)(B). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 006
A student needs a quick estimate of 2,387 ÷ 6. Which pair of compatible numbers gives it?19 Texas Administrative Code §111.6, Texas Essential Knowledge and Skills for Mathematics, Grade 4 (Legal Information Institute copy), (b)(4)(G). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 006
Which value is not equal to 3/5?19 Texas Administrative Code §111.26, Texas Essential Knowledge and Skills for Mathematics, Grade 6 (Legal Information Institute copy), (b)(4)(G). Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 006
Written methods such as column addition depend on one feature of the Hindu–Arabic numeral system. Which feature?Wikipedia, "Hindu–Arabic numeral system", lead and history sections. Written to TExES Core Subjects EC–6 (391) Mathematics (902), competency 006
How this list was compiled: Our own questions, written to the six competencies of Subject Exam II, Mathematics (902), in the exam framework of TExES Core Subjects EC–6 (391), Section 3 of the preparation manual on the Texas Educator Certification Examination Program website, https://www.tx.nesinc.com/Content/StudyGuide/TX_SG_obj_391.htm (copyright Texas Education Agency), read 2026-10-12: 40 selected-response questions in 1 hour 10 minutes, with no weights given among the competencies. This bank holds 50: 8 on mathematics instruction, 11 on number, 9 on algebra, 10 on geometry and measurement, 7 on probability and statistics and 5 on mathematical processes. Every number in a question is made up for the question, and each computed answer and each named wrong value was worked out a second time (2026-10-12). Thirty-seven questions rest on a standard of the Texas Essential Knowledge and Skills for Mathematics, Kindergarten to Grade 7, 19 Texas Administrative Code Chapter 111 (Legal Information Institute copies, opened 2026-10-12); five rest on the framework's own wording, four on three practice guides of the Institute of Education Sciences and four on three Wikipedia articles, each named and linked under the question (opened 2026-10-12). Licence: Questions, choices and explanations are original work of this site.
How it works
A free EC-6 math practice test: 50 questions of our own, each worked out. Unofficial, not affiliated with, endorsed by or sponsored by the Texas Education Agency or Pearson.
Read the full guide
Length and timing
The Mathematics subject exam asks 40 selected-response questions in 1 hour 10 minutes. Exam mode does the same with 40 of the 50 questions here.
Six competencies
Mathematics Instruction, Number Concepts and Operations, Patterns and Algebra, Geometry and Measurement, Probability and Statistics, and Mathematical Processes. The framework gives no weights among them; this bank holds 8, 11, 9, 10, 7 and 5.
Worked answers
Each computed answer shows its working, and often the slip behind a wrong choice. Most questions name the Texas standard they practice, from Kindergarten to Grade 7.
Competency 005 reaches past Grade 6: compound probability, geometric probability and the normal curve each have a question here.
Questions and answers
Is this EC-6 math practice test free?
Yes. All 50 questions are free in the browser, with no account. You can print a question sheet, with the answer key on its own page.
Can you retake only the math part of Core Subjects EC-6?
The preparation manual says a candidate who passed every other subject exam may retake a single one. Taken alone, a subject exam costs $58 on the exam's page today.
What score do you need on the EC-6 math subject exam?
A scaled 240 on each subject exam, by the exam's page. The real exam may include questions that do not count, so this page shows a count of right answers and no pass or fail.
Does this math EC-6 practice test use real TExES questions?
No. Every question and every number in it was made up for this page, and each computed answer was worked out a second time. The manual's sample questions were not used.