Content category III of the Elementary Education: Mathematics Subtest (5003): about 15 of the 50 questions (30%). The topics ETS lists, how they are tested and practice questions with explanations.
50 questions on the real 65-minute clock, weighted like the ETS test, with a score by content category and an explanation for every answer.
Or start the free Geometry and Measurement, Data, Statistics, and Probability drillFrom the ETS Elementary Education: Mathematics Subtest (5003) Study Companion, content category III.
A mixed category: properties of shapes and angles, perimeter, area and volume, units and conversions, the coordinate plane, mean, median, mode and range, reading tables and graphs, and simple probability. Work each problem with the on-screen calculator only when it saves time.
Answer each question, then open the explanation.
Question 1
A pitcher contains 2.5 US quarts of juice. How many US cups of juice does it contain? Enter your answer as a whole number.
Numeric entry: answer in cups.
Answer: 10 cups
One US quart equals 4 US cups. Therefore 2.5 quarts equals 2.5 × 4 = 10 cups; multiplying by 2 would give the number of pints.
Question 2
The data set is 5, 7, 9, 11, 13. The value 13 is replaced by 23. How do the mean and median change?
Answer: C: The mean increases by 2, and the median stays the same.
The total increases by 10 across five values, so the mean increases by 10 ÷ 5 = 2. The middle value remains 9, so the median is unchanged; the mean does not increase by the full change to one value.
Question 3
A rectangular garden is 7.5 meters long and 2.4 meters wide. What is its area? Enter the number of square meters as a whole number.
Numeric entry: answer in square meters.
Answer: 18 square meters
The area is length times width: 7.5 × 2.4 = 18 square meters. Adding the side lengths or finding twice their sum would not give area.
Question 4
A pencil’s ends align with the 2.3-centimeter and 8.1-centimeter marks on a ruler. What is the pencil’s length, in centimeters?
Answer: A: 5.8
The length is the difference between the endpoint readings: 8.1 − 2.3 = 5.8 centimeters. Reading 8.1 alone incorrectly assumes the pencil begins at zero.
Take the full test under the real clock
50 questions on the real 65-minute clock, weighted like the ETS test, with a score by content category and an explanation for every answer.
Or start the free Geometry and Measurement, Data, Statistics, and Probability drillETS lists about 15 of the 50 questions in Geometry and Measurement, Data, Statistics, and Probability, about 30% of the test.
Classifying one-, two- and three-dimensional figures; Perimeter, area, surface area and volume; The coordinate plane and graphing ordered pairs; Solving problems involving measurement; Basic statistical concepts; Representing and interpreting data in various forms; Interpreting the probability of events.
A mixed category: properties of shapes and angles, perimeter, area and volume, units and conversions, the coordinate plane, mean, median, mode and range, reading tables and graphs, and simple probability. Work each problem with the on-screen calculator only when it saves time.
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