[
  {
    "text": "Simplify $\\sqrt{12} + \\sqrt{27}$.",
    "section": "Algebra",
    "options": ["$5\\sqrt{3}$", "$6\\sqrt{3}$", "$39$", "$\\sqrt{39}$"],
    "correctAnswer": 1
  },
  {
    "text": "If $2^{x} = 64$, what is the value of $2^{x-3}$?",
    "section": "Algebra",
    "options": ["$4$", "$8$", "$16$", "$32$"],
    "correctAnswer": 2
  },
  {
    "text": "What is the value of $\\frac{3}{4} + \\frac{5}{6}$?",
    "section": "Arithmetic",
    "options": ["$\\frac{19}{12}$", "$\\frac{8}{10}$", "$\\frac{15}{24}$", "$\\frac{4}{3}$"],
    "correctAnswer": 1
  },
  {
    "text": "Evaluate $\\int_{0}^{2} 3x^2 \\, dx$.",
    "section": "Calculus",
    "options": ["$4$", "$6$", "$8$", "$12$"],
    "correctAnswer": 3
  },
  {
    "text": "A circle has radius $r = 5$. What is its area, in terms of $\\pi$?",
    "section": "Geometry",
    "options": ["$10\\pi$", "$25\\pi$", "$50\\pi$", "$100\\pi$"],
    "correctAnswer": 2
  }
]