Mathematics

Q. What is the value of sin(45°)? (2016)
  • A. 1/√2
  • B. 1/2
  • C. √3/2
  • D. 1
Q. What is the value of tan(0°)? (2018)
  • A. 0
  • B. 1
  • C. undefined
  • D.
Q. What is the value of tan(90°)? (2022)
  • A. 0
  • B. 1
  • C. undefined
  • D.
Q. What is the value of the 3rd term in the expansion of (3x - 4)^5? (2020)
  • A. -240
  • B. 240
  • C. -180
  • D. 180
Q. What is the value of the 5th term in the expansion of (3x - 2)^6? (2023)
  • A. -540
  • B. 540
  • C. 720
  • D. 360
Q. What is the value of the coefficient of x^4 in the expansion of (x - 2)^6? (2023)
  • A. -15
  • B. -60
  • C. -90
  • D. -120
Q. What is the value of the coefficient of x^5 in the expansion of (x + 1/2)^8?
  • A. 56
  • B. 112
  • C. 128
  • D. 64
Q. What is the value of the coefficient of x^5 in the expansion of (x + 2)^7?
  • A. 21
  • B. 42
  • C. 56
  • D. 70
Q. What is the value of the determinant of the matrix B = [[2, 3], [5, 7]]? (2020)
  • A. 1
  • B. 4
  • C. 11
  • D. 14
Q. What is the value of the determinant of the matrix B = [[5, 1], [2, 3]]? (2022)
  • A. 10
  • B. 15
  • C. 7
  • D. 5
Q. What is the value of the discriminant for the equation 3x² + 6x + 2 = 0? (2020)
  • A. 0
  • B. 4
  • C. 12
  • D. 6
Q. What is the value of the discriminant for the equation x² - 2x + 1 = 0? (2022)
  • A. 0
  • B. 1
  • C. 2
  • D. 4
Q. What is the value of the term containing x^5 in the expansion of (x + 1/2)^8? (2020)
  • A. 8
  • B. 56
  • C. 112
  • D. 128
Q. What is the value of the term containing x^5 in the expansion of (x + 2)^8? (2020)
  • A. 112
  • B. 128
  • C. 256
  • D. 64
Q. What is the value of x where f(x) = x^3 - 3x has a local maximum? (2022)
  • A. -1
  • B. 0
  • C. 1
  • D. 2
Q. What is the value of \( |D| \) for the matrix \( D = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} \)? (2023)
  • A. 1
  • B. 0
  • C. -1
  • D. 2
Q. What is the value of \( |H| \) for \( H = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \)? (2021)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. What is the vertex of the parabola represented by the equation y = x² - 4x + 3? (2022)
  • A. (2, -1)
  • B. (2, 1)
  • C. (1, 2)
  • D. (3, 0)
Q. What is the vertex of the parabola represented by the equation y = x² - 6x + 8? (2023)
  • A. (3, -1)
  • B. (3, -5)
  • C. (2, -4)
  • D. (2, -2)
Q. What is the volume of a cube with side length 3 units? (2023)
  • A. 9
  • B. 27
  • C. 81
  • D. 6
Q. What is the volume of a cube with side length 4 units? (2020)
  • A. 16
  • B. 64
  • C. 32
  • D. 48
Q. What is the volume of a cylinder with radius 2 and height 5? (2023)
  • A. 20π
  • B. 10π
  • C. 15π
  • D. 25π
Q. What is the volume of a cylinder with radius 3 units and height 5 units? (2021)
  • A. 45π
  • B. 30π
  • C. 15π
  • D.
Q. What is the volume of a sphere with radius 5 units? (2021)
  • A. 500/3π
  • B. 125/3π
  • C. 100/3π
  • D. 200/3π
Q. What is the x-intercept of the line 5x - 2y + 10 = 0?
  • A. -2
  • B. 2
  • C. 0
  • D. 5
Q. What is the x-intercept of the line 6x - 2y = 12?
  • A. 2
  • B. 3
  • C. 4
  • D. 6
Q. What is the y-intercept of the line 2x - 3y + 6 = 0? (2023)
  • A. 2
  • B. 3
  • C. -2
  • D. -3
Q. What is the y-intercept of the line 3x - 2y = 6? (2020) 2020
  • A. 3
  • B. 2
  • C. 0
  • D. 1
Q. What is the y-intercept of the line 3x - 4y = 12? (2023)
  • A. 3
  • B. 4
  • C. 0
  • D. 12
Q. What is the y-intercept of the line 4x + 5y - 20 = 0?
  • A. 4
  • B. 5
  • C. 20
  • D. 0
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