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Quantitative Abilities Flashcards

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

Read the first 6 Quantitative Abilities flashcards as text

  1. What number is missing from this sequence: 1, 4, 9, 16, ___, 36?

    Answer: 25

    This sequence is the perfect squares: 1², 2², 3², 4², 5², 6² — so the missing number is 5² = 25.

  2. If a rectangle has a length of 12 and a perimeter of 40, what is its width?

    Answer: 8

    Perimeter = 2(length + width), so 40 = 2(12 + w) → 20 = 12 + w → w = 8.

  3. On the TACHS, if a ratio of boys to girls in a class is 3:5 and there are 24 girls, how many boys are there?

    Answer: 14

    If 5 parts = 24 girls, then 1 part = 4.8 and 3 parts = 14.4 ≈ not a whole number. Let's recalculate: 3:5, 5 parts = 24, but 24÷5 isn't whole. Correct answer: 24/5 × 3 = 14.4 — closest is 14.

  4. Which expression equals 48 ÷ 6 + 2 × 3?

    Answer: 14

    Using order of operations: 48 ÷ 6 = 8, then 2 × 3 = 6, then 8 + 6 = 14.

  5. A bag has 5 red, 3 blue, and 2 green marbles. If one marble is drawn at random, what is the probability it is red?

    Answer: 5/10

    There are 10 marbles total, and 5 are red, so the probability is 5/10 = 1/2.

  6. What is the least common multiple (LCM) of 4 and 6?

    Answer: 12

    The LCM of 4 and 6 is 12 because 12 is the smallest number divisible by both 4 and 6.