← All IAR Flashcard Decks

Math Concepts and Reasoning Flashcards

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

Read the first 7 Math Concepts and Reasoning flashcards as text
  1. A bag has 4 red, 3 blue, and 5 green marbles. What is the probability of drawing a blue marble?

    Answer: 1/4

    There are 12 marbles total and 3 are blue, so 3/12 = 1/4.

  2. Which equation represents a line with a y-intercept of 4?

    Answer: y = 2x + 4

    In slope-intercept form y = mx + b, the b value 4 is the y-intercept.

  3. What is the greatest common factor of 24 and 36?

    Answer: 12

    The largest number dividing both 24 and 36 evenly is 12.

  4. A square has a perimeter of 28 cm. What is the length of one side?

    Answer: 7 cm

    A square has 4 equal sides, so 28 ÷ 4 = 7 cm.

  5. Simplify the ratio 18:24 to its simplest form.

    Answer: 3:4

    Divide both terms by their GCF of 6 to get 3:4.

  6. What is the absolute value of −9?

    Answer: 9

    Absolute value is the distance from zero, so |−9| is 9.

  7. If 3/5 of a class of 30 students are girls, how many girls are there?

    Answer: 18

    3/5 of 30 is (3 × 30)/5 = 90/5 = 18 girls.