Number and Quantity
Number questions test integers, fractions, decimals, ratios, proportions, percents, rates, units, place value, ordering, and quantitative reasoning.
How to study for Praxis Core
Build every answer around evidence, clarity, standard written English, careful setup, units, and reasonableness checks.
Core concepts
Concept 1
Number and quantity questions often require translating a word problem into operations and units.
Exam cue: Write what the question asks for before calculating.
Concept 2
Ratios, proportions, percents, and rates should be solved with consistent units.
Exam cue: Convert units and forms before comparing or operating.
Concept 3
Estimation and reasonableness checks help catch arithmetic and setup errors.
Exam cue: Check whether the answer is reasonable in the context.
Risk pitfalls and guardrails
Mixing fractions, decimals, percents, or units without converting.
Guardrail: Avoid answers that add outside knowledge, overstate claims, change sentence meaning, use weak evidence, mix units, or skip the exact task.
Solving for the wrong quantity.
Guardrail: Avoid answers that add outside knowledge, overstate claims, change sentence meaning, use weak evidence, mix units, or skip the exact task.
Trusting calculator output without checking reasonableness.
Guardrail: Avoid answers that add outside knowledge, overstate claims, change sentence meaning, use weak evidence, mix units, or skip the exact task.
Memory anchors
Unit Consistency
Quantities must use consistent units before comparison or calculation.
Percent
Percent means per hundred and can be converted to decimal or fraction form.
Ratio
A ratio compares two quantities by division.
Proportion
A proportion states that two ratios are equal.
Rate
A rate compares quantities with different units, such as miles per hour.
Place Value
Place value determines the value of each digit in a number.
Fraction Operation
Fraction operations require attention to numerator, denominator, and common denominators.
Decimal Operation
Decimal operations require careful place alignment and interpretation.
Reasonableness
Reasonableness checks whether a result fits the situation.
Unknown Quantity
Define the unknown quantity before setting up an equation or proportion.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
A school ordered 240 notebooks. Three-eighths were distributed to sixth grade. How many notebooks remained?
A recipe for 18 servings uses 4.5 cups of rice. At the same rate, how many cups are needed for 30 servings?
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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