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 7 m at 1 s and 16 m at 4 s. Where is it at 9 s, Bo?

   31 m
3. 3.

   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
4. 4.

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

   • Time falls 6 h per extra pump, so the graph is a straight line
   • Time is proportional to the pumps squared, since the graph bends
   • Time is inversely proportional to pumps: pumps × time is always 12
   • Time is directly proportional to the pumps, since both numbers are positive
5. 5.

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

   • Distance is directly proportional to time, since it keeps rising
   • Distance is proportional to time cubed, since the graph curves up steeply
   • Distance is inversely proportional to time, since the graph bends
   • Distance is proportional to time squared; distance ÷ time² is 2
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 travels 4 m during each second of its motion
   • The cart started 4 m from the origin at time zero
   • The cart reaches the 4 m mark after 4 seconds
   • The cart's speed is 4 m/s at the start of the run
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 liquid's density, since density is mass per volume
   • The mass of one cm³ of the liquid, since the line starts there
   • The mass of liquid plus beaker at the largest volume used
   • The empty beaker's mass, since no liquid is present at 0 cm³
8. 8.

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

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

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?

    • 30 kPa, since it falls 10 kPa for each step in the table
    • 10 kPa, since pressure halves again from 40 kPa
    • 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 1 N reading, 2.0 cm, because it is the smallest in the table
    • 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