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Grade 5 Making It Even Worksheets

Work out how many counters must change colour before two outcomes are equally likely.

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 5 probability skills, see all probability worksheets.

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Probability Β· Grade 5

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

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Grade 5 Β· 3 pages Β· A4

Probability Practice

Grade 5 β€’ Making It Even β€’ Swap in a bag
Name:Date:

Write how many counters must be swapped.

  1. 1) A bag holds 16 black counters and 26 green counters. How many green counters must be swapped for black ones so that the two colours are equally likely?
    Answer:
  1. 2) A bag holds 19 purple counters and 25 black counters. How many black counters must be swapped for purple ones so that the two colours are equally likely?
    Answer:
  1. 3) A bag holds 13 green counters and 21 purple counters. How many purple counters must be swapped for green ones so that the two colours are equally likely?
    Answer:
  1. 4) A bag holds 10 black counters and 20 brown counters. How many brown counters must be swapped for black ones so that the two colours are equally likely?
    Answer:
  1. 5) A bag holds 20 pink counters and 22 blue counters. How many blue counters must be swapped for pink ones so that the two colours are equally likely?
    Answer:
  1. 6) A bag holds 9 pink counters and 23 purple counters. How many purple counters must be swapped for pink ones so that the two colours are equally likely?
    Answer:
  1. 7) A bag holds 11 blue counters and 29 black counters. How many black counters must be swapped for blue ones so that the two colours are equally likely?
    Answer:
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Page 1 of 3

Write how many counters must be swapped. (continued)

  1. 8) A bag holds 18 red counters and 26 purple counters. How many purple counters must be swapped for red ones so that the two colours are equally likely?
    Answer:
  1. 9) A bag holds 8 brown counters and 12 blue counters. How many blue counters must be swapped for brown ones so that the two colours are equally likely?
    Answer:
  1. 10) A bag holds 8 blue counters and 30 green counters. How many green counters must be swapped for blue ones so that the two colours are equally likely?
    Answer:
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Page 2 of 3

Answer Key

  1. 1. 5
  2. 2. 3
  3. 3. 4
  4. 4. 5
  1. 5. 1
  2. 6. 7
  3. 7. 9
  4. 8. 4
  1. 9. 2
  2. 10. 11
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Page 3 of 3

What each level generates

Grade 5 making it even β€” the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Repaint a spinner
  2. Level 2Swap in a bag
  3. Level 3A colour to leave alone

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 5 probability skills

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

Frequently asked questions

β–ΈHow should probabilities be written on these sheets?

As a fraction in its simplest form. Where an outcome cannot happen the answer is 0, and where it must happen the answer is 1, rather than 0/8 or 8/8. The instruction line on each sheet says so.

β–ΈWhy does the question not tell you how many counters there are altogether?

Because finding the whole is part of the question. The parts are given and the child adds them to get the total, then writes the part over that total. If the total were printed, the question would just be simplifying a fraction.

β–ΈIs probability a Grade 5 topic?

In the Australian and Ontario curricula, yes β€” Ontario names fractions for probability at Grade 5 specifically. US Common Core has no probability standard at this grade and introduces the topic at Grade 7, so under Common Core this is early work rather than required work.

β–ΈWhat does the second sub-skill ask?

How many counters or spinner sections have to change colour before two outcomes are equally likely. It is not simply the difference between the two amounts: changing one counter from blue to red moves both totals at once, so the answer is half the gap.

β–ΈCan I control how many questions are on the page?

Yes. Use the question-count stepper before printing, and press Shuffle for a fresh set at the same level.