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Mathematics Proficiency Flashcards

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

Read the first 7 Mathematics Proficiency flashcards as text

  1. A right triangle has legs of length 5 and 12. What is the length of the hypotenuse?

    Answer: 13

    By the Pythagorean theorem: √(5² + 12²) = √(25 + 144) = √169 = 13.

  2. What is the area of a circle with diameter 10 cm? (Use π ≈ 3.14)

    Answer: 78.5 cm²

    Radius = 5 cm; Area = π × 5² = 3.14 × 25 = 78.5 cm².

  3. Two angles of a triangle are 45° and 65°. What is the third angle?

    Answer: 70°

    The angles of a triangle sum to 180°; 180 − 45 − 65 = 70°.

  4. A rectangle has a perimeter of 36 cm and a width of 6 cm. What is its length?

    Answer: 12 cm

    Perimeter = 2(l + w); 36 = 2(l + 6), so l + 6 = 18, giving l = 12 cm.

  5. The volume of a cube with side length 4 cm is:

    Answer: 64 cm³

    Volume of a cube = s³ = 4³ = 64 cm³.

  6. Which of the following sets of side lengths can form a right triangle?

    Answer: 6, 8, 10

    Check: 6² + 8² = 36 + 64 = 100 = 10², confirming the Pythagorean theorem.

  7. If a square has an area of 49 cm², what is its perimeter?

    Answer: 28 cm

    Side = √49 = 7 cm; perimeter = 4 × 7 = 28 cm.