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Grade 7 Counting the Outcomes Worksheets

Count how many different outcomes a coin, a dice, a spinner or numbered cards give together.

Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF β€” no account, no watermark. For the other grade 7 probability skills, see all probability worksheets.

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Probability Β· Grade 7

Grade
Topic
SkillEach skill is a different kind of question, with its own levels.
Level
Questions
10

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Grade 7 Β· 3 pages Β· A4

Probability Practice

Grade 7 β€’ Counting the Outcomes β€’ A spinner and cards
Name:Date:

Write how many different outcomes there are in total.

  1. 1) A spinner with 10 equal sections is spun and a card is taken from cards numbered 1 to 8. How many different outcomes are possible?
    Answer:
  1. 2) A spinner with 6 equal sections is spun and a card is taken from cards numbered 1 to 7. How many different outcomes are possible?
    Answer:
  1. 3) A spinner with 4 equal sections is spun and a card is taken from cards numbered 1 to 9. How many different outcomes are possible?
    Answer:
  1. 4) A spinner with 11 equal sections is spun and a card is taken from cards numbered 1 to 9. How many different outcomes are possible?
    Answer:
  1. 5) A spinner with 6 equal sections is spun and a card is taken from cards numbered 1 to 10. How many different outcomes are possible?
    Answer:
  1. 6) A spinner with 5 equal sections is spun and a card is taken from cards numbered 1 to 6. How many different outcomes are possible?
    Answer:
  1. 7) A spinner with 10 equal sections is spun and a card is taken from cards numbered 1 to 6. How many different outcomes are possible?
    Answer:
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Page 1 of 3

Write how many different outcomes there are in total. (continued)

  1. 8) A spinner with 9 equal sections is spun and a card is taken from cards numbered 1 to 2. How many different outcomes are possible?
    Answer:
  1. 9) A spinner with 11 equal sections is spun and a card is taken from cards numbered 1 to 10. How many different outcomes are possible?
    Answer:
  1. 10) A spinner with 9 equal sections is spun and a card is taken from cards numbered 1 to 3. How many different outcomes are possible?
    Answer:
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Page 2 of 3

Answer Key

  1. 1. 80
  2. 2. 42
  3. 3. 36
  4. 4. 99
  1. 5. 60
  2. 6. 30
  3. 7. 60
  4. 8. 18
  1. 9. 110
  2. 10. 27
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Page 3 of 3

What each level generates

Grade 7 counting the outcomes β€” the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Two objects
  2. Level 2A spinner and cards
  3. Level 3Three objects

Grade levels follow the progression common to most English-language curricula β€” not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence β†’

More Grade 7 probability skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

β–ΈWhich Common Core standards do these sheets cover?

7.SP.C.6 and 7.SP.C.8b. The first is approximating the probability of a chance event from its long-run relative frequency, which is the From a Trial sub-skill. The second is representing the sample space of a compound event, which is Counting the Outcomes.

β–ΈHow do you count the outcomes of two objects together?

Multiply the number of outcomes of each. A coin has two and a dice has six, so together they give twelve. The level-3 questions use three objects, where the same rule applies twice.

β–ΈWhat is experimental probability?

The probability estimated from results that were actually recorded β€” spins, rolls or draws β€” rather than worked out from how the object is built. A spinner that stopped on red 14 times in 40 spins gives an experimental probability of 7/20.

β–ΈHow is this different from the Data Handling relative frequency sheets?

The arithmetic is the same and the situation is not. These questions record a chance process that could have come out differently; the Data Handling ones describe a group of people who have already been counted. That distinction is exactly the one Common Core makes between 7.SP.C and 8.SP.

β–ΈCan I change how many questions are printed?

Yes, with the question-count stepper, and Shuffle gives a completely fresh set at the same level.