1. Which measurement represents an overestimation of precision?
2. The instrument shown can measure to a precision of:
3. A lab group measures the length of a metal rod using a metric ruler. The ruler shows millimeter marks (smallest division \= 1 mm). The rod's left end is aligned at 0.0 cm and the right end falls between 12.3 cm and 12.4 cm, about halfway.
Based on the measuring instrument shown, the measurement should be recorded to the nearest:
4. A student times a reaction three times using two different stopwatches. Stopwatch X shows time to the nearest 0.1 s; Stopwatch Y shows time to the nearest 0.01 s. The data table lists the recorded times.
Which measurement set shows the greatest precision?
5. A sample’s mass is measured on a digital balance that displays <u>12.340 g</u>. Based on this display, the measurement should be recorded to the nearest:
6. Two instruments are available to measure a solution’s volume: (1) a beaker with marks every $10,\mathrm{mL}$ and (2) a graduated cylinder with marks every $1,\mathrm{mL}$. A student follows the usual rule of recording one estimated digit beyond the smallest marked division.
Which measurement shows the greatest precision?
7. A student measures the time for a cart to travel a fixed distance using two timing methods. Method 1 uses a handheld stopwatch readable to 0.01 s; Method 2 uses a phone video analyzed frame-by-frame at 30 frames/s (time step $\approx 0.033$ s). The student records one trial from each method.
Which recorded time is most consistent with appropriate precision for the method used?
8. A student measures the diameter of a wire using a micrometer. The sleeve scale reads $2.5,\mathrm{mm}$, and the thimble aligns at $0.23,\mathrm{mm}$. The micrometer’s smallest marked increment on the thimble is $0.01,\mathrm{mm}$, and the student records one estimated digit beyond that increment.
Which recorded diameter is most appropriate?
9. A student times a reaction using two different stopwatches.
Which measurement shows the greatest precision?
10. Which measurement shows the greatest precision?
11. A student measures the mass of a sample on two balances.
Which measurement shows the greatest precision?
12. A student measures the time for a pendulum to complete one period using a phone app. The app reports 1.467 s.
The instrument shown can measure to a precision of:
13. Two thermometers are used to measure the same water bath.
Which instrument provides the more precise temperature measurement?
14. A student measures the same mass five times on a digital balance.
Which statement about measurement precision is supported by the data?
15. A student measures the pH of a solution using two devices.
Which measurement shows the greatest precision?
16. The caliper shown measures to the nearest:
17. In the data table, which measurement is the most precise?
18. Which measurement shows the least precision in the data set?
19. Which measurement has the least uncertainty?
20. The balance shown measures mass to the nearest:
21. The precision of the caliper is:
22. Which measurement shows the greatest precision in the data table?
23. For the vernier caliper shown, the measurement should be recorded to the nearest:
24. The precision of the stopwatch is:
25. For the given thermometer, the temperature should be recorded to the nearest:
26. A beaker has coarse volume markings every 50 mL. A student reports the volume as 237.6 mL after pouring water into the beaker. Which statement best evaluates this reported measurement based on the instrument’s precision?
27. Four instruments are used to measure the same time interval. Which measurement shows the greatest precision (smallest increment implied by the recorded value)?
28. A student measures 10.0 mL of a solution using a 10 mL graduated cylinder with 0.2 mL markings. The meniscus is shown at 9.8 mL.
Which value is recorded with appropriate precision?
29. A student records repeated measurements of the same object’s length using the same instrument.
The instrument used most likely has a smallest marked division of:
30. Which statement about the precision of the digital clock is correct?
31. Two instruments are available to measure the diameter of a small bead: (1) a metric ruler with smallest divisions of 1 mm, and (2) a vernier caliper with a vernier scale that allows readings to 0.02 mm.
Which measurement shows the greatest precision (i.e., finest resolution) consistent with the instrument used?
32. A student records temperature using the glass thermometer shown. The smallest marked division is 1 $^{\circ}$C, and the liquid column ends slightly above 22 $^{\circ}$C, about 0.3 of the way to 23 $^{\circ}$C.
Based on the measuring instrument shown, the temperature should be recorded as:
33. The digital thermometer reads 36.58 °C. The precision of the thermometer is:
34. A spring scale is used to measure force. The scale has major labels every $1,\mathrm{N}$ and minor tick marks every $0.2,\mathrm{N}$. The pointer rests between $3.4,\mathrm{N}$ and $3.6,\mathrm{N}$, approximately at $3.5,\mathrm{N}$. Based on the measuring instrument shown, the measurement should be recorded to the nearest:
35. A student uses a stopwatch to time a reaction. Stopwatch A shows time to the nearest $0.1\,\mathrm{s}$, while Stopwatch B shows time to the nearest $0.01\,\mathrm{s}$. The student records one time from each stopwatch for the same event:
Stopwatch A: $12.3\,\mathrm{s}$
Stopwatch B: $12.34\,\mathrm{s}$
Which statement correctly compares the precision of the two measurements?
Caption (34 words): Two stopwatches are described by their display resolution. One shows tenths of a second and the other shows hundredths. Precision depends on the smallest increment displayed (and recorded), not on whether the value is closer to a “true” time.
36. A student measures the mass of a chemical sample five times using the same balance. The balance reads to the nearest 0.01 g. The results are shown in the table.
Which statement about measurement precision is best supported by the data?
37. Based on the measuring instrument shown, the measurement should be recorded to the nearest:
38. Based on the data table, which measurement is the most precise?
39. For the scale shown, the mass should be recorded to the nearest:
40. Which statement about the ruler's precision is correct?
41. A spring scale is used to measure force. The scale is marked every 1 N with no smaller subdivisions. The pointer is between 7 N and 8 N, closer to 7.6 N.
Based on the measuring instrument shown, the measurement should be recorded to the nearest:
42. A student measures the temperature of a water bath using the thermometer shown. The thermometer has numbered marks every $10,^{\circ}\mathrm{C}$ and smaller tick marks every $1,^{\circ}\mathrm{C}$. The liquid column ends between $23,^{\circ}\mathrm{C}$ and $24,^{\circ}\mathrm{C}$, closer 
to $24,^{\circ}\mathrm{C}$ (about 0.7 of the way from 23 to 24). Based on the instrument’s precision (record one estimated digit beyond the smallest marked division), the temperature should be recorded as:
43. A student measures the same length using two different tools.
Tool 1: a meterstick with smallest division 1 mm.
Tool 2: a tape measure with smallest division 1 cm.
Which statement about measurement precision is supported by the instrument information?
44. Which statement about measurement precision is supported by the data?
45. The digital balance reads 7.890 g. The precision of the balance is: