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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. What is 7/8 − 1/4?

    Answer: 5/8

    Convert 1/4 to 2/8, then 7/8 − 2/8 = 5/8.

  2. A car travels 150 miles in 3 hours. What is its average speed?

    Answer: 50 mph

    Speed equals distance divided by time, so 150 ÷ 3 = 50 miles per hour.

  3. Which number is equivalent to 5 × 10³?

    Answer: 5,000

    10³ equals 1,000, so 5 × 1,000 = 5,000.

  4. What is the next term in the pattern 2, 6, 18, 54, ...?

    Answer: 162

    Each term is multiplied by 3, so 54 × 3 = 162.

  5. If the probability of rain is 0.3, what is the probability it does not rain?

    Answer: 0.7

    Complementary probabilities sum to 1, so 1 − 0.3 = 0.7.

  6. Evaluate the expression 5x − 3 when x = 4.

    Answer: 17

    Substitute 4 for x: 5 × 4 = 20, then 20 − 3 = 17.

  7. What is 35% of 200?

    Answer: 70

    35% equals 0.35, and 0.35 × 200 = 70.