Mathematics

Q. If a die is rolled, what is the probability of getting an even number? (2022)
  • A. 1/2
  • B. 1/3
  • C. 1/6
  • D. 2/3
Q. If a rectangle has a length of 12 cm and a width of 4 cm, what is its perimeter? (2019)
  • A. 32 cm
  • B. 28 cm
  • C. 24 cm
  • D. 30 cm
Q. If a student guesses on a multiple-choice test with 4 options per question, what is the probability of guessing correctly?
  • A. 1/4
  • B. 1/2
  • C. 1/3
  • D. 1/5
Q. If a student guesses on a multiple-choice test with 4 options, what is the probability of guessing correctly? (2022)
  • A. 1/4
  • B. 1/2
  • C. 1/3
  • D. 1/5
Q. If a student is selected at random from a group of 20 students, 12 of whom are girls, what is the probability that the student is a girl?
  • A. 3/5
  • B. 2/5
  • C. 1/2
  • D. 1/3
Q. If C = [[0, 1], [1, 0]], what is det(C)? (2022)
  • A. 0
  • B. 1
  • C. -1
  • D. 2
Q. If cos(θ) = 0, what is the value of θ? (2017)
  • A.
  • B. 90°
  • C. 180°
  • D. 270°
Q. If cos(θ) = 0.5, what is the value of θ in degrees? (2017)
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If cos(θ) = 0.5, what is the value of θ? (2020)
  • A.
  • B. 30°
  • C. 60°
  • D. 90°
Q. If cos(θ) = 0.6, what is sin(θ) using Pythagorean identity? (2017)
  • A. 0.4
  • B. 0.5
  • C. 0.6
  • D. 0.8
Q. If cos(θ) = 1/2, what is θ in degrees?
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If E = [[2, 1, 3], [1, 0, 2], [4, 1, 1]], what is det(E)? (2020)
  • A. -1
  • B. 0
  • C. 1
  • D. 2
Q. If E = [[a, b], [c, d]], what is the expression for det(E)? (2023)
  • A. ad - bc
  • B. ab + cd
  • C. ac - bd
  • D. bc - ad
Q. If F = [[1, 2, 3], [0, 1, 4], [5, 6, 0]], what is det(F)? (2021)
  • A. -14
  • B. 14
  • C. 0
  • D. 10
Q. If F = [[2, 0], [0, 3]], what is det(F)? (2020)
  • A. 0
  • B. 6
  • C. 5
  • D. 2
Q. If F = [[2, 1, 3], [1, 0, 2], [0, 1, 1]], what is det(F)? (2023)
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If F = [[2, 1, 3], [1, 0, 2], [3, 1, 1]], find det(F). (2022)
  • A. -4
  • B. 4
  • C. 0
  • D. 8
Q. If F = [[2, 1, 3], [1, 0, 2], [3, 4, 1]], find det(F). (2022)
  • A. -10
  • B. 10
  • C. 0
  • D. 5
Q. If F = [[2, 1], [1, 3]], what is the value of det(F)? (2022)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. If f(x) = x^3 - 3x^2 + 4, find the critical points. (2022)
  • A. 1, 2
  • B. 0, 3
  • C. 2, 4
  • D. 1, 3
Q. If H = [[1, 2, 1], [0, 1, 0], [2, 1, 1]], find det(H). (2021)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If H = [[1, 2], [2, 4]], what is det(H)? (2020)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If H = [[2, 3], [4, 5]], find det(H). (2022)
  • A. -2
  • B. 1
  • C. 2
  • D. 7
Q. If I = [[1, 0, 2], [0, 1, 3], [1, 0, 4]], find det(I). (2021)
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If I = [[1, 0, 2], [0, 1, 3], [1, 1, 0]], find det(I). (2023)
  • A. -1
  • B. 0
  • C. 1
  • D. 2
Q. If I = [[1, 2], [2, 4]], what is det(I)? (2021)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If J = [[1, 1], [1, 1]], what is det(J)? (2019)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If J = [[1, 2, 1], [0, 1, 3], [2, 1, 0]], calculate det(J). (2023)
  • A. -4
  • B. 4
  • C. 0
  • D. 2
Q. If J = [[1, 2], [2, 4]], what is det(J)? (2022)
  • A. 0
  • B. 1
  • C. 2
  • D. 4
Q. If one root of the equation x² - 7x + k = 0 is 3, find k. (2023)
  • A. 10
  • B. 12
  • C. 15
  • D. 9
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