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9th grade Find a rock's age from radioactive decay worksheet

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Find a rock's age from radioactive decay

Grade 9 Science Worksheet - Challenge Me

NameDate

Circle the best answer.

  1. Read this first

    Half-lives (USGS)

    ParentDaughterHalf-life
    uranium-238lead-2064.5 billion years
    uranium-235lead-207704 million years
    potassium-40argon-401.25 billion years
    carbon-14nitrogen-145,730 years
  2. Ash below a fossil layer has half its potassium-40 left. Ash above it has half its uranium-235 left. What age range fits the fossil layer, by Esme's math?

    • Between 2.5 billion and 1.4 billion years ago
    • Exactly 977 million years
    • Between 1.25 billion and 704 million years ago
    • Older than 1.25 billion years
  3. Fraction left = (1/2)^n. After how many half-lives does less than 1% of the parent remain, by Kira's math?

    • 4 half-lives
    • 7 half-lives
    • 100 half-lives
    • 2 half-lives
  4. Luz's friend says after two half-lives all of the parent is gone. Which response is best?

    • Agree: half plus half is the whole
    • Disagree: two half-lives leave 1/2
    • Disagree: each half-life halves what is left, leaving 1/4
    • Agree: decay stops after two
  5. Half-lives (USGS)

    ParentDaughterHalf-life
    uranium-238lead-2064.5 billion years
    uranium-235lead-207704 million years
    potassium-40argon-401.25 billion years
    carbon-14nitrogen-145,730 years
  6. Milo's cousin says carbon-14 proves a rock is 4 billion years old. Which response is best (USGS)?

    • Disagree: carbon-14 works only to about 50,000 years
    • Agree: carbon-14 dates any rock
    • Agree: its half-life is billions of years, so it fits old rock
    • Disagree: rocks cannot be dated
  7. Noah's friend says geologists date a sandstone by measuring the age of its sand grains. Which response is best (NPS)?

    • Disagree: sandstone cannot be ordered
    • Agree: the grains date the layer exactly when it was deposited
    • Agree: sandstone holds carbon-14
    • Disagree: grains can be older, so ash or dikes bracket it
  8. On a decay graph, the parent falls from 100% to 50% in 1.25 billion years. When will it reach 12.5%, by Ren's math?

    • About 2.5 billion years
    • About 1.25 billion years, falling at a steady rate
    • About 3.75 billion years
    • About 3.75 million years
  9. Cross-section: ash at 300 million, layer X, ash at 250 million, then later ash at 200 million under layer Y. Fossil layer X lies above ash dated 300 million years and below ash dated 250 million. Fossil layer Y lies above ash dated 200 million years. Which layer is older, by Tala's reading?

    • They are the same age
    • Layer X
    • Layer Y, since it is higher
    • It cannot be told without carbon-14
  10. Half-lives (USGS)

    ParentDaughterHalf-life
    uranium-238lead-2064.5 billion years
    uranium-235lead-207704 million years
    potassium-40argon-401.25 billion years
    carbon-14nitrogen-145,730 years
  11. A charcoal sample has 1/8 of the carbon-14 of living wood. About how old is it, and is carbon-14 the right clock, by Zee's math?

    • About 17 billion years
    • About 17,190 years, and carbon-14 fits
    • About 17,190 years, but carbon-14 cannot reach that
    • About 45,840 years, from 8 half-lives
  12. Dates with error bars shrinking over the years. Why do the numeric ages in a sequence keep getting more precise over time, by Ari's reading (NPS)?

    • Rocks get younger each year
    • Better lab methods and cross-checks between techniques
    • The half-lives keep changing a little as the rocks get older
    • Counting more layers each year
  13. Four plan cards, labeled A to D. Which plan best dates a fossil layer in a cliff of sandstone and shale, by Bo's reading?

    • Use carbon-14 on the sandstone
    • Date the fossil with uranium-238 directly
    • Count the layers above it as years
    • Date ash or lava layers above and below, then bracket it
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9th grade Find a rock's age from radioactive decay worksheet – printable
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About this worksheet

Find a rock's age from radioactive decay. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can turn a fraction left or a parent-to-daughter ratio into half-lives, and half-lives into an age.
  • I can choose the right clock: carbon-14 for once-living material up to about 50,000 years, uranium or potassium for old rock.
  • I can bracket a sedimentary layer between dated ash or dikes and explain why agreeing methods build confidence.

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

Words to know

parent isotope: The radioactive atom that decays

daughter isotope: The stable atom it decays into

half-life: The time for half of the parent to decay

bracketing: Dating layers above and below to fix a layer's age range

radiocarbon: Carbon-14, used for once-living material

Common mistakes

Your child treated decay as steady subtraction. Each half-life halves the parent that is left: 1/2, 1/4, 1/8 (USGS).

Your child picked the wrong clock. Carbon-14 (half-life 5,730 years) dates once-living material up to about 50,000 years; uranium and potassium clocks date rocks millions to billions of years old (USGS).

Your child mixed up the parent-to-daughter ratio with the fraction left. 1:1 means 1/2 left (one half-life); 1:3 means 1/4 left (two); 1:7 means 1/8 left (three).

Questions parents ask

What is the most common mistake with find a rock's age from radioactive decay?

Your child treated decay as steady subtraction. Each half-life halves the parent that is left: 1/2, 1/4, 1/8 (USGS).

Are these 9th 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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