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Free Math Worksheet Grade 6 (Year 7)
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How Likely Is It? The Probability Scale from 0 to 1

About This Resource

A free Grade 6 math worksheet on the probability scale from 0 (impossible) to 1 (certain), with 1/2 as an even chance. Students describe events with impossible, unlikely, even chance, likely and certain, write probabilities as fractions for counters in a bag, dice and spinners, place events on the scale, and explain why probabilities are never bigger than 1. Includes a timed lesson plan, a six-activity worksheet, an editable Word version and answer key.

Overview

Students learn that probability measures how likely something is to happen, on a scale from 0 to 1. An impossible event has a probability of 0, a certain event has a probability of 1, and an even chance is 1/2. When all outcomes are equally likely, the probability of an event is the number of ways it can happen divided by the total number of outcomes. Students use words and fractions to describe events with counters, dice and spinners, place them on the scale, and explain their reasoning.

Resource Details

Subject
Math
Topic
Probability Scale from 0 to 1
Category
Data & Graphs
File Type
PDF
File Size
272.1 KB
Published
09 Nov 2026
Downloads
0
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Grade 6 math (ages 11–12) 45 minutes Probability fractions reasoning mathematical vocabulary

Student Task

  • Draw a long line on the board labeled 0, 1/2 and 1. Read events (the sun will rise tomorrow, it will snow in the classroom) and ask students where they go.
  • Do activities 1 and 2 together, counting the outcomes for each question.
  • Students complete activities 3 to 6 on their own. Answers are in the answer key.

Classroom Use

  • Human probability line: students hold event cards and stand on a rope labeled 0 to 1.
  • Counter bags: groups make bags with given probabilities, such as P(red) = 3/4, and swap to check.
  • Spinner design: students draw spinners where blue is impossible, likely or an even chance.

Differentiation

Support: give a probability line with the five words already written under 0, 1/4, 1/2, 3/4 and 1. Challenge: students write probabilities as decimals and percentages too, and find the probability that an event does not happen.

Answer Key & Assessment

Activities 1 to 5 check probability words and fractions (answer key included). Activity 6 shows whether students can explain why probabilities are between 0 and 1.

Learning Objectives

  • Describe the likelihood of events with words such as impossible, unlikely, even chance, likely and certain.
  • Write the probability of an event as a fraction from 0 to 1 when outcomes are equally likely.
  • Place events on a probability scale and explain the position.

Teacher Tips

Students often think that because there are two outcomes (win or lose), each has a probability of 1/2. Use a bag with 9 blue counters and 1 red counter to show that the outcomes are not equally likely.

What's Included

  • 7-page printable PDF lesson pack: teacher lesson plan with timings, materials and differentiation
  • Key vocabulary list (6 words with meanings and examples)
  • Student worksheet (6 activities)
  • Editable Word version of the worksheet
  • Complete answer key (also as a separate PDF)

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