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40 multiple-choice questions and 14 flashcards on Arithmetic Reasoning, about 13% of the ASVAB bank. Every one carries a written rationale.
Arithmetic Reasoning is one of 11 chapters in CoStudy's ASVAB bank, and it holds 40 of the bank's 300 multiple-choice questions — roughly 13% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.
Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.
5 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.
A meal costs $46.00 before tip. If a 15 percent tip is added, what is the total?
Answer: B — $52.90
B) Right — 15 percent of 46 is $6.90, and 46 plus 6.90 is $52.90. A) $49.45 uses a 7.5 percent tip, halving the rate. C) $53.90 adds a flat $7.90 rather than 15 percent. D) $55.20 uses a 20 percent tip.
Two vehicles leave the same point at the same time and drive in opposite directions, one at 55 miles per hour and one at 65 miles per hour. After how long are they 240 miles apart?
Answer: B — 2 hours
B) Right — they separate at 55 plus 65, or 120 miles per hour, and 240 divided by 120 is 2 hours. A) 1.5 uses a separation rate of 160, adding an extra vehicle's speed. C) 2.4 divides 240 by 100, a rounded combined speed. D) 4 divides 240 by 60, using an average of the two speeds instead of their sum.
A recipe uses 2 cups of flour to make 12 cookies. How much flour is needed for 30 cookies?
Answer: A — 5 cups
2 cups / 12 = x / 30 → x = 60/12 = 5 cups. B) Underestimate. A) Correct ratio. C) Used 1:6 ratio. D) Doubled twice.
A car travels 180 miles in 3 hours. Average speed?
Answer: C — 60 mph
Speed = distance / time = 180/3 = 60 mph. A) Got 30; possibly divided incorrectly. B) Closer to 135/3. C) Correct. D) Closer to 270/3.
A truck covers 270 miles in 4 hours 30 minutes. What is its average speed?
Answer: B — 60 miles per hour
B) Right — 4 hours 30 minutes is 4.5 hours, and 270 divided by 4.5 equals 60. A) 54 comes from dividing by 5 hours, reading the 30 minutes as a full extra hour. C) 67.5 comes from dividing by 4 and discarding the half hour entirely. D) 75 comes from dividing by 3.6, a misplaced decimal in the division.
4 cards from the 14 in this chapter.
AR question style?
Word problems — translate English into math operations. Time/rate, percentage, ratio, average.
Average = ?
Sum of values ÷ number of values.
If a shirt costs $40 and is marked down 25%, sale price?
$30. (40 - 10.)
What is the standard setup for a combined-work problem?
Add the individual rates: 1/a + 1/b = 1/t. • If one worker takes 6 hours and another 3 hours, 1/6 + 1/3 = 1/2, so together they finish in 2 hours.
These are a sample. The full Arithmetic Reasoning chapter runs 54 items with per-chapter progress tracking, on the web and in the iOS app.