TExES 902 Number Concepts and Operations

Competency 002 of the Core Subjects EC–6: Mathematics (902). The competencies TEA lists, how they are tested and practice questions with explanations.

40 questions on the real 70-minute clock, with a score by competency group and an explanation for every answer.

Or start the free Number Concepts and Operations drill

What the TEA framework lists

  • Properties of numbers and operations and standard and nonstandard algorithms
  • Rational numbers in different representations, fractions and place value
  • Number theory (factors, multiples, primes) and estimation

Summarized from the TExES Core Subjects EC–6 (391) preparation manual, Section 3: exam framework, Competency 002. The grouping of competencies into drill sets is ours.

Line drawing of base-ten blocks beside fraction circles cut into halves, thirds and quarters

How Number Concepts and Operations is tested

Expect computation with whole numbers, fractions and decimals, place value and rounding, and questions that show a student’s algorithm and ask what error or property it shows. TEA lists the competencies without weights, so our practice test spreads its questions evenly across them.

TExES 902 Number Concepts and Operations practice questions

Answer each question, then open the explanation.

Question 1

Which equation shows the distributive property?

  1. A.6 × (10 + 3) = 6 × 10 + 6 × 3
  2. B.4 + 7 = 7 + 4
  3. C.(2 × 3) × 5 = 2 × (3 × 5)
  4. D.9 + 0 = 9
Show the answer and explanation

Answer: A: 6 × (10 + 3) = 6 × 10 + 6 × 3

The distributive property multiplies a sum by multiplying each addend: a(b + c) = ab + ac. The other equations show the commutative, associative and identity properties.

Question 2

Which number is prime?

  1. A.21
  2. B.27
  3. C.29
  4. D.33
Show the answer and explanation

Answer: C: 29

29 has exactly two factors, 1 and 29. 21 = 3 × 7, 27 = 3 × 9 and 33 = 3 × 11.

Question 3

Which expression is equal to 2/3 ÷ 1/6?

  1. A.2/18
  2. B.1/9
  3. C.1/4
  4. D.4
Show the answer and explanation

Answer: D: 4

Dividing by a fraction is the same as multiplying by its reciprocal: 2/3 × 6/1 = 12/3 = 4. It also makes sense as "how many sixths are in two-thirds?": four.

Question 4

A class needs to estimate 398 × 21. Which estimate is most reasonable?

  1. A.600
  2. B.4,000
  3. C.8,000
  4. D.80,000
Show the answer and explanation

Answer: C: 8,000

Round 398 to 400 and 21 to 20: 400 × 20 = 8,000. The exact product is 8,358.

Take the full test under the real clock

40 questions on the real 70-minute clock, with a score by competency group and an explanation for every answer.

Or start the free Number Concepts and Operations drill

Common questions

How many Number Concepts and Operations questions are on the TExES 902?

TEA lists the competencies of the TExES 902 without weights or question counts. Our 40-question practice test spreads its questions evenly across the competencies, which gives Number Concepts and Operations 7 questions.

What does Number Concepts and Operations cover on the TExES 902?

Properties of numbers and operations and standard and nonstandard algorithms; Rational numbers in different representations, fractions and place value; Number theory (factors, multiples, primes) and estimation.

How should I study Number Concepts and Operations for the TExES 902?

Expect computation with whole numbers, fractions and decimals, place value and rounding, and questions that show a student’s algorithm and ask what error or property it shows. TEA lists the competencies without weights, so our practice test spreads its questions evenly across them.

TExES is a trademark of the Texas Education Agency. Original independent practice questions written to the published TExES exam frameworks; not affiliated with or endorsed by the Texas Education Agency or Pearson.