Arithmetic Reasoning

Practice all of Arithmetic Reasoning

Questions from every topic, mixed together. The quickest way to see where you stand.

Or practice one topic

Best right after you read that topic’s lesson, to check it stuck. These are the 12 topics in Arithmetic Reasoning, in the order worth learning them.

• Reading a Word ProblemTurning a paragraph into an arithmetic setup, and the habits that prevent answering the wrong question.
• Percent and Percent ChangePercent of, percent off, and increase or decrease measured against the original value.
• Fractions of a QuantityTaking a fraction of an amount, and chaining two of them, where the answer is a quantity rather than a percent.
• Ratio and ProportionParts to a whole, equivalent ratios, and scaling a proportion to a known total.
• Unit Rate and ScalingFinding the cost or quantity of one, then scaling to many. The most common shape on the subtest.
• Rate, Time and DistanceSpeed problems, including two objects moving toward or away from each other.
• Work and Production RatesCombined effort, filling and emptying, and why rates add where times do not.
• Unit ConversionCustomary and metric conversions, and the multi-step chains where people stop one step early.
• Averages and Missing ValuesMean of a set, and working backward from an average to a missing term.
• Money, Cost and ProfitTotal cost with more than one rate, discounts, markup, profit and simple interest.
• Measurement Word ProblemsArea, perimeter and volume asked as a situation rather than as a formula.
• Counting and Probability ProblemsSimple probability and counting arrangements, as they appear in word-problem form.