MathsFreePrintable

Probability and Data Investigations

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Probability and Data Investigations worksheet preview
Probability and Data Investigations

Probability and Data Investigations

Dice and coins illustration

🎲 Part 1: Probability Vocabulary

1. Match each probability term with its correct meaning:
1. Impossible
2. Unlikely
3. Likely
4. Certain
A. Will definitely happen
B. Cannot happen
C. Probably will happen
D. Probably won't happen
2. Circle the correct probability description for each event:

Rolling a 7 on a six-sided die:

Impossible

Unlikely

Likely

Certain

Getting heads or tails when flipping a coin:

Impossible

Unlikely

Likely

Certain

📊 Part 2: Die Rolling Investigation

3. Before rolling a die 30 times, predict how many times each number will appear:

Number 1: _____ times

Number 2: _____ times

Number 3: _____ times

Number 4: _____ times

Number 5: _____ times

Number 6: _____ times

4. Create a tally chart for your die rolling experiment:
5. Which number appeared most often in your experiment?
6. How did your actual results compare to your predictions?

🪙 Part 3: Coin Toss Experiment

7. If you toss a coin 40 times, how many times do you predict it will land on heads? _____
8. How many times do you predict it will land on tails? _____
9. Record your coin toss results in the table below:
10. Create a bar graph showing your coin toss results:
11. Check all the statements that are true about your coin toss experiment:

I got exactly 20 heads and 20 tails

My results were close to my predictions

The results would be different if I repeated the experiment

Getting heads is just as likely as getting tails

🤔 Part 4: Critical Thinking About Probability

12. Read each statement and circle whether you agree or disagree. Explain your reasoning.

Statement 1: "A coin will always land heads exactly 20 times in 40 tosses."

Agree

Disagree

Explain your reasoning:

Statement 2: "Rolling a 6 on a die is less likely than rolling a 3."

Agree

Disagree

Explain your reasoning:

13. Give three real-world examples where probability and chance are important:

1. ________________________________

2. ________________________________

3. ________________________________

14. What is the difference between what we expect to happen (theoretical probability) and what actually happens (experimental results)?

🎯 Part 5: Design Your Own Investigation

15. Create your own probability investigation question using a spinner, dice, or coins:
16. What are all the possible outcomes for your investigation?
17. Make a prediction about what you think will happen:
18. Draw a diagram or chart to show how you would record your data:

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds