Number, Quantity and Pre-Algebra
Math foundations questions test integers, fractions, decimals, ratios, rates, proportions, percents, units, and basic quantitative reasoning.
How to study for the ACT
Build every answer around the exact section task: revise clearly, calculate with units, read closely, interpret data, and compare scientific explanations.
Core concepts
Concept 1
Number, Quantity and Pre-Algebra questions reward careful use of the passage, sentence, data display, formula, or experiment setup.
Exam cue: Identify the section skill before reading the choices.
Concept 2
The best answer fits the exact ACT task and avoids extra assumptions.
Exam cue: Check context, evidence, units, graph labels, and the wording of the question.
Concept 3
Use elimination against choices that are partly true but not responsive to the question.
Exam cue: Confirm that the answer solves the asked problem rather than a nearby one.
Risk pitfalls and guardrails
Choosing a familiar rule that does not fit the item.
Guardrail: Avoid answers that change meaning, skip units, ignore passage evidence, overstate data, mix up variables, or answer a nearby task.
Ignoring the passage, graph, unit, or sentence context.
Guardrail: Avoid answers that change meaning, skip units, ignore passage evidence, overstate data, mix up variables, or answer a nearby task.
Letting speed override the exact wording of the question.
Guardrail: Avoid answers that change meaning, skip units, ignore passage evidence, overstate data, mix up variables, or answer a nearby task.
Memory anchors
Unit Consistency
Quantities must use consistent units before comparison or calculation.
Ratio
A ratio compares quantities by division.
Rate
A rate compares quantities with different units.
Proportion
A proportion states that two ratios are equal.
Percent
Percent means per hundred.
Percent Change
Percent change is change divided by original amount.
Fraction Operation
Fraction operations require attention to numerator, denominator, and common denominators.
Decimal Place
Decimal place value determines the size of each digit.
Absolute Value
Absolute value is distance from zero.
Reasonableness
Reasonableness checks whether a result fits the situation.
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 12-liter container is 3/4 full. How many liters are in it?
A cyclist travels 42 kilometers in 2.5 hours. What is the average speed, in kilometers per hour?
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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