Content category I of the Core Academic Skills for Educators: Mathematics (5733): about 20 of the 56 questions (36%). The topics ETS lists, how they are tested and practice questions with explanations.
56 questions on the real 90-minute clock, weighted like the ETS test, with a score by content category and an explanation for every answer.
Or start the free Number and Quantity drillFrom the ETS Core Academic Skills for Educators: Mathematics (5733) Study Companion, content category I.
Arithmetic in context: fractions, decimals and percents, ratios and proportions, rates, unit conversions with the factor given, and properties of whole numbers. Most questions are short word problems. Set up the proportion or equation before reaching for the calculator.
Answer each question, then open the explanation.
Question 1
A warehouse packs 18 kilograms of rice into bags containing 3/8 kilogram each. How many bags can it fill? Enter your answer as a whole number.
Numeric entry: answer in bags.
Answer: 48 bags
Divide the total mass by the mass per bag: 18 ÷ (3/8) = 48 bags. Multiplying by 3/8 finds a fraction of the rice rather than the number of bags.
Question 2
Which table describes a proportional relationship between x and y?
Answer: E: x: 1, 2, 3; y: 4, 8, 12
A proportional relationship has a constant ratio y/x. Only the table with y-values 4, 8, and 12 has the same ratio, 4, for every pair.
Question 3
Which numeral represents six and forty-three thousandths?
Answer: C: 6.043
Forty-three thousandths is 0.043, so the number is 6.043. Writing 6.43 makes the fractional part ten times as large.
Question 4
A household spends 30% of its monthly budget on housing. Utilities account for 15% of the housing amount. What percent of the total budget is spent on these utilities?
Answer: B: 4.5
Utilities represent 0.15 of the 0.30 used for housing, so they represent 0.045 of the full budget. That is 4.5%, not the sum of the two percentages.
Take the full test under the real clock
56 questions on the real 90-minute clock, weighted like the ETS test, with a score by content category and an explanation for every answer.
Or start the free Number and Quantity drillETS lists about 20 of the 56 questions in Number and Quantity, about 36% of the test.
Problems with integers, decimals and fractions; Ratios and proportions; Percent; Constant rates (miles per hour, gallons per mile, cubic feet per minute); Place value, naming decimal numbers and ordering numbers; Properties of whole numbers (factors, multiples, even and odd numbers, primes); Counterexamples using basic arithmetic; Real-life problems: identifying the relevant numbers and operations, including rounding; Units, unit conversion and measurement.
Arithmetic in context: fractions, decimals and percents, ratios and proportions, rates, unit conversions with the factor given, and properties of whole numbers. Most questions are short word problems. Set up the proportion or equation before reaching for the calculator.
Praxis is a registered trademark of ETS. Original independent practice questions written to the published ETS Study Companions; not affiliated with or endorsed by ETS.