Find the relationship in a data table and graph

Answer Key - Grade 11 Science Worksheet - Building Confidence

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

1. 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?

   34 m
2. 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?

   29 m
3. 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. 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. 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. 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. 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. 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)
   2	200
   4	100
   5	80
   8	50
   10	40

10. 9.

    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. 10.

    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