Free Printable WorksheetMathGrade 7Math Curriculum7.136

7.136 Theoretical probability of simple events Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.136 Theoretical probability of simple events. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.136 Theoretical probability of simple events - In multiple-choice items, students select the correct theoretical probability of an event and choose an equivalent probability form. (FL MA.7.DP.2.3; CCSS 7.SP.C.6; TX 7.6(I); VA 7.PS.1.a)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 7

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 7.136 Theoretical probability of simple events skill assessments:

Problem 1Difficulty: Mastery

A point is chosen at random on the number line segment from −5 to 7. What is the probability the point lies between −2 and 4? Choose the answer that shows the probability as a simplified fraction and as a percent.

A1/3 = 33 1/3%

B1/4 = 25%

C2/3 = 66 2/3%

D1/2 = 50%

Solution & Explanation:There are 12 equally likely outcomes (or equal-size parts). 6 outcomes (or parts) are favorable, so P = 6/12 = 1/2. Multiply by 100 to convert to a percent: 50%.

Problem 2Difficulty: Mastery

A random integer from 1 to 300 is chosen. What is the probability the integer is divisible by 3, 4, and 5? Choose the answer that shows the probability as a simplified fraction and as a percent.

A59/60 = 98 1/3%

B1/30 = 3 1/3%

C1/60 = 1 2/3%

D1/59 = 1 41/59%

Solution & Explanation:There are 300 equally likely outcomes (or equal-size parts). 5 outcomes (or parts) are favorable, so P = 5/300 = 1/60. Multiply by 100 to convert to a percent: 1 2/3%.

Problem 3Difficulty: Mastery

A random integer from 1 to 64 is chosen. What is the probability the integer is a power of 2? (Include 1 as 2⁰.) Choose the answer that shows the probability as a simplified fraction and as a percent.

A57/64 = 89.0625%

B7/64 = 10.9375%

C3/32 = 9.375%

D1/8 = 12.5%

Solution & Explanation:There are 64 equally likely outcomes (or equal-size parts). 7 outcomes (or parts) are favorable, so P = 7/64 = 7/64. Multiply by 100 to convert to a percent: 10.9375%.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.136 (Practice and review Grade 7 math skill 7.136: Theoretical Probability of Simple Events.).