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Mathematics Flashcards

7 cards from real EMSAT 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 flashcards as text

  1. If f(x) = 3x² − 2x + 1, what is f(−2)?

    Answer: 17

    f(−2) = 3(4) − 2(−2) + 1 = 12 + 4 + 1 = 17.

  2. The equation of a circle with centre (3, −1) and radius 5 is:

    Answer: (x−3)² + (y+1)² = 25

    Standard form is (x−h)² + (y−k)² = r², giving (x−3)² + (y+1)² = 25.

  3. What is the sum of the infinite geometric series 8 + 4 + 2 + 1 + …?

    Answer: 16

    S = a/(1−r) = 8/(1−0.5) = 8/0.5 = 16.

  4. If log₂(x) = 5, what is x?

    Answer: 32

    log₂(x) = 5 means x = 2⁵ = 32.

  5. A triangle has vertices A(0,0), B(6,0), and C(3,4). What is its area?

    Answer: 12

    Area = ½ × base × height = ½ × 6 × 4 = 12 square units.

  6. Which of the following is equivalent to sin²θ + cos²θ?

    Answer: 1

    The Pythagorean identity states sin²θ + cos²θ = 1 for all θ.

  7. The polynomial p(x) = x³ − 6x² + 11x − 6 has (x−1) as a factor. Which of the following is also a factor?

    Answer: (x−2)

    Factoring fully gives (x−1)(x−2)(x−3), so (x−2) is a factor.

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Sources & references

Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy

  1. emsat.moe.gov.ae — Test delivery, eligibility, time limit, retake fee, retake policy, score release, exam format, exam information · verified Oct 2026
  2. mohesr.gov.ae — Eligibility · verified Oct 2026