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10th grade Half-life: how much is left worksheet

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Half-life: how much is left

Grade 10 Science Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. A wooden object has 25% of the carbon-14 found in living wood. Using a half-life of 5,730 years, about how old is it, Ari?

  2. A wooden object has 12.5% of the carbon-14 found in living wood. Using a half-life of 5,730 years, about how old is it, Bo?

  3. Ancient scrolls found near Qumran give 10.8 counts per minute per gram of carbon; living carbon gives 13.6. About how old are they, Jun?

    • About 19,000 years
    • About 5,730 years
    • About 1,900 years
  4. A tracer's count falls from 80 to 10 per minute in 24 hours. What is its half-life, Kira?

    • 12 hours
    • 3 hours
    • 8 hours
  5. Hospitals make technetium-99m (6.01 h) on site from molybdenum-99 (66 h). Why, Luz?

    • It decays too fast to ship far
    • It lasts too long to store
    • Molybdenum-99 is stable
  6. Milo says nothing is left after two half-lives, since two halves make a whole. Agree or disagree?

    • Agree: half-lives add to 100%
    • Agree: two halves make the whole
    • Disagree: a quarter is left
  7. Pia says each nucleus waits exactly one half-life and then decays. Agree or disagree?

    • Disagree: it describes a large group
    • Agree: they decay together
    • Agree: each one has a timer
  8. Which has more left after one day: technetium-99m (6.01 hours) or iodine-131 (8.02 days), Ren?

    • Technetium-99m
    • Iodine-131
    • They have the same left
  9. Fluorine-18, used in PET scans, has a half-life of 110 minutes. What fraction is left after 220 minutes, Tala?

    • 0
    • 1/4
    • 1/2
  10. Which isotope has the longest half-life, Zee?

    • Fluorine-18
    • Iodine-131
    • Carbon-14
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10th grade Half-life: how much is left worksheet – printable
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About this worksheet

Half-life: how much is left. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can say a half-life is the time for half of a sample to decay, and that (1/2)ⁿ remains after n half-lives.
  • I can find the amount left, the half-life from data, and the time to reach a fraction.
  • I can date once-living things with carbon-14 (5,730 years) and say its limits.
  • I can say why short half-lives suit medical tracers.

Standard: supports HS-ESS1-5, HS-ESS1-6

Words to know

half-life: Time for half of a radioactive sample to decay

decay: A nucleus changing and giving off radiation

carbon-14 dating: Finding age from the carbon-14 left in once-living material

tracer: A small amount of a radioactive isotope followed by a detector

activity: Decays per minute, measured by counts

Common mistakes

Your child treated decay as losing the same amount each time. Each half-life halves what is left, so the amount shrinks by (1/2)ⁿ.

Questions parents ask

What is the most common mistake with half-life: how much is left?

Your child treated decay as losing the same amount each time. Each half-life halves what is left, so the amount shrinks by (1/2)ⁿ.

Are these 10th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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