Probability of Picking a Digit of Pi
Written by Adi Ackerman, Head Teacher
"Probability of Picking a Digit of Pi" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.SP.C.6. A 6th grader who is already steady on number theory can use it too, and an older student can use it as a short review.
7th grade math worksheet: find experimental and uniform probabilities for a digit of pi picked at random from 100 digits. Answer key included. Part of our exploring pi number theory collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with What Pi Means, Measure and Compute, which needs string, a ruler and a calculator. Then use the digit pages for data, graphing and probability work.
What students will practice
- Students will write the experimental probability of a digit as its count over 100.
- Students will write the probability of each digit under a uniform model.
- Students will compare the two probabilities and write fractions in simplest form.
Curriculum Links
Common Core State Standards
Statistics and Probability · 7th Grade
Standard: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.
View all 7.SP.C.6 worksheets →Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use this exploring pi worksheet?
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Start with What Pi Means, Measure and Compute, which needs string, a ruler and a calculator. Then use the digit pages for data, graphing and probability work.
What does this worksheet teach?
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Find experimental and uniform probabilities for a digit of pi picked at random from 100 digits. The directions on the page read: Fill in the table for a digit picked at random. Experimental probability is the count over 100. A uniform model gives each digit 0 to 9 the same chance. Write fractions in simplest form. An answer key is included.
Can I use this exploring pi worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade number theory, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What is pi?
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Pi is the ratio of a circle's circumference to its diameter, close to 3.14.
How do students estimate pi?
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They measure C and d for five round objects and divide, then find the mean.
Do these worksheets have answer keys?
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Yes, all 6 have an answer key.
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Worksheet Details
| Grade | 7th Grade |
| Subject | Math |
| Topic | Number Theory |
| Standard | 7.SP.C.6 |
| Pages | 1 page |
| Difficulty | Medium |
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