Practice Measurement in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Measurement is the process of assigning numerical values to attributes of objects or events according to a defined rule or scale.
To measure is to quantify—turning 'how much' or 'how many' into a number.
Showing a random 20 of 50 problems.
Example 1
hardA reaction time test is repeated 9 times by one student, giving SD s. What is the standard error of the mean of these 9 trials?
Example 2
challengeA cube's side is measured as cm with cm uncertainty. Roughly, is the relative uncertainty in the side , and why does volume amplify it?
Example 3
easyA pitcher holds liters of water. How many milliliters is this?
Example 4
mediumA track meet timer is consistently s slow because of a calibration drift. Is this random or systematic error, and does averaging many race times remove it?
Example 5
easyConvert centimeters to meters.
Example 6
mediumWhy must units accompany a measured value like '5'?
Example 7
easyA scale displays a child's mass as kg with kg uncertainty. Give the range of plausible true masses.
Example 8
mediumA jug has L of water; you pour out mL. How much remains, in liters?
Example 9
easyTo measure how heavy an object is, which attribute and unit are appropriate?
Example 10
easyIs a measured value ever perfectly exact?
Example 11
mediumA lab averages 10 repeated mass readings to report a single value. What measurement benefit does averaging provide?
Example 12
mediumA student adds cm and m and reports . What unit error did they make, and what is the correct sum in meters?
Example 13
hardA protractor reads angles to the nearest . You measure an angle as . What is the range of true angles, and what is the relative uncertainty?
Example 14
mediumThree students measure a table's length: cm. The true length is cm. Describe the measurements' precision and accuracy.
Example 15
mediumAdd m and cm, giving the result in meters.
Example 16
easyA measurement is recorded as cm with the note 'plus or minus cm.' What does the represent?
Example 17
easyA scale reads kg, kg, kg for the same object. The true mass is kg. Is the scale precise or accurate?
Example 18
easyConvert grams to kilograms.
Example 19
hardA thermometer reads the boiling point of water as 99.2°C at sea level (true value: 100°C). If 10 repeated readings give mean 99.2°C with SD=0.3°C, identify the type(s) of error and suggest how to address each.
Example 20
mediumA speedometer is checked against GPS five times, reading consistently mph below the true speed each time. Is the issue random or systematic?