PencilGo

Grade 11 · Science · Physics

11th grade Find the relationship in a data table and graph worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

Find the relationship in a data table and graph

Grade 11 Science Worksheet - Building Confidence

NameDate

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

  1. A cart moves in a straight line at a steady speed. It is at 10 m at 2 s and 22 m at 6 s. Where is it at 10 s, Ari?

  2. A cart moves in a straight line at a steady speed. It is at 11 m at 2 s and 19 m at 6 s. Where is it at 11 s, Esme?

  3. Which statement about the graph is correct, Jun?

    • Position is proportional to time squared, since the line starts above zero
    • Position is directly proportional to time, since the points form a line
    • Position rises 2 m each second but is not proportional to time
    • Position is inversely proportional to time, since the graph is not a curve

  4. Which relationship does the graph show between pumps and the time to empty the tank, Kira?

    • Time is inversely proportional to pumps: pumps × time is always 12
    • Time is proportional to the pumps squared, since the graph bends
    • Time is directly proportional to the pumps, since both numbers are positive
    • Time falls 6 h per extra pump, so the graph is a straight line

  5. Which relationship does the graph show between time and distance, Luz?

    • Distance is inversely proportional to time, since the graph bends
    • Distance is directly proportional to time, since it keeps rising
    • Distance is proportional to time squared; distance ÷ time² is 2
    • Distance is proportional to time cubed, since the graph curves up steeply

  6. A line of position (m) against time (s) crosses the position axis at 4 m. What does that intercept tell Milo?

    • The cart started 4 m from the origin at time zero
    • The cart's speed is 4 m/s at the start of the run
    • The cart travels 4 m during each second of its motion
    • The cart reaches the 4 m mark after 4 seconds

  7. Noah plots the mass of a beaker plus liquid (g) against the liquid volume (cm³). The line crosses the mass axis at 52 g. What is that?

    • The mass of liquid plus beaker at the largest volume used
    • The empty beaker's mass, since no liquid is present at 0 cm³
    • The liquid's density, since density is mass per volume
    • The mass of one cm³ of the liquid, since the line starts there

  8. Distance (km) up against time (h) across has slope 60. Pia swaps the axes, with time up. What is the new slope?

    • 1/60 km per h, the speed with its unit changed
    • −60 h per km, since the axes were swapped
    • 60 h per km, the same number with new units
    • 1/60 h per km, the time needed for each km

  9. Read this first

    Gas in a syringe at a fixed temperature (example data)

    volume (L)pressure (kPa)
    2200
    4100
    580
    850
    1040

  10. Using the table, what pressure would the gas have at 20 L, Tala?

    • 10 kPa, since pressure halves again from 40 kPa
    • 30 kPa, since it falls 10 kPa for each step in the table
    • 20 kPa, since pressure × volume stays 400
    • 80 kPa, since doubling the volume doubles the pressure

  11. One reading in the table looks like a recording error. Which one, and why, Zee?

    • The 4 N reading, 10.0 cm, because the others give about 2 cm per N
    • The 5 N reading, 10.1 cm, because it nearly matches the 4 N reading
    • No single reading, because real measurements scatter a little
    • The 1 N reading, 2.0 cm, because it is the smallest in the table
PencilGopencilgo.com

11th grade Find the relationship in a data table and graph worksheet – printable
Print: 123456

About this worksheet

Find the relationship in a data table and graph. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find a slope from two points, and say what it means and what its units are (velocity, density, acceleration, stretch per newton).
  • I can name direct, inverse and square relationships from a graph's shape and from what ×2 does in a table.
  • I can straighten a curve by plotting against t², 1/v or √L.
  • I can predict from inverse, square and square-root patterns: a cart's time, a dropped ball's distance, a pendulum's period.

Standard: practices (no PE)

Words to know

slope: Change up ÷ change across: rise over run

directly proportional: ×2 one quantity gives ×2 the other; a line through zero

inversely proportional: ×2 one quantity gives ÷2 the other

proportional to the square: ×2 one quantity gives ×4 the other

linearize: Change what you plot so the graph becomes a straight line

Common mistakes

Your child assumed the line goes through zero. A line with a starting value is not proportional, so the start has to be added back.

Your child used the slope alone. A rate gives the change; the position also needs the starting value or a point on the line.

Your child scaled the reading in proportion to the distance. First find how the data change when the input changes by a factor, then use that exponent.

Questions parents ask

What is the most common mistake with find the relationship in a data table and graph?

Your child assumed the line goes through zero. A line with a starting value is not proportional, so the start has to be added back.

Are these 11th 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.

More physics

See all Physics

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records

Ready for easier practice?

Print a sheet, scan it when it’s done, and PencilGo picks the next one.

Create a free account