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Mathematics without a Calculator Flashcards

7 cards from real CAEC 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 without a Calculator flashcards as text
  1. Evaluate (−3)² − 2(−4).

    Answer: 17

    (−3)² = 9 and −2(−4) = +8, so 9 + 8 = 17.

  2. What is the slope of the line passing through (2, 3) and (6, 11)?

    Answer: 2

    Slope = (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.

  3. A circle has a diameter of 10 cm. What is its area in terms of π?

    Answer: 25π cm²

    The radius is 5 cm, so the area is π × 5² = 25π cm².

  4. A $80 jacket is discounted 25%, then an extra 10% is taken off the sale price. What is the final price?

    Answer: $54

    $80 × 0.75 = $60, then $60 × 0.90 = $54.

  5. A bag holds 3 red, 5 blue, and 2 green marbles. What is the probability that a randomly drawn marble is NOT blue?

    Answer: 1/2

    5 of the 10 marbles are not blue, so the probability is 5/10 = 1/2.

  6. Which is the factored form of x² − 5x + 6?

    Answer: (x − 2)(x − 3)

    −2 and −3 multiply to 6 and add to −5.

  7. A right triangle has legs of 9 cm and 12 cm. What is the length of the hypotenuse?

    Answer: 15 cm

    9² + 12² = 81 + 144 = 225, and √225 = 15.

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