Practice Test GeeksIAAT - Iowa Algebra Aptitude Test Practice Test
← All IAAT Flashcard Decks

Ratios and Proportional Reasoning Flashcards

7 cards from real IAAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Ratios and Proportional Reasoning flashcards as text

  1. If the ratio of x to y is 5:3 and y = 12, what is the value of x?

    Answer: 20

    If 3 parts = 12, one part = 4, so x = 5 × 4 = 20.

  2. A runner completes 4 laps in 10 minutes. How many laps can the runner complete in 25 minutes at the same rate?

    Answer: 10 laps

    Rate = 4 ÷ 10 = 0.4 laps per minute; 0.4 × 25 = 10 laps.

  3. A batch of paint requires blue and yellow in a 3:1 ratio. To make 40 gallons of this paint, how many gallons of yellow are needed?

    Answer: 10 gallons

    Total parts = 3 + 1 = 4; yellow = (1/4) × 40 = 10 gallons.

  4. Which proportion correctly models this problem: '3 is to 7 as n is to 35'?

    Answer: 3/7 = n/35

    The proportion 3/7 = n/35 keeps the same ratio structure with n corresponding to 3.

  5. If y is directly proportional to x, and y = 18 when x = 3, what is y when x = 7?

    Answer: 42

    Constant k = y/x = 18/3 = 6; when x = 7, y = 6 × 7 = 42.

  6. Two gears are connected. Gear A has 20 teeth and Gear B has 30 teeth. If Gear A makes 9 rotations, how many rotations does Gear B make?

    Answer: 6

    Gear ratio = 20/30 = 2/3; Gear B rotations = 9 × (20/30) = 6.

  7. A class of 30 students has a ratio of 3 boys for every 2 girls. How many boys are in the class?

    Answer: 18

    Total parts = 3 + 2 = 5; boys = (3/5) × 30 = 18.