Math Test Pre-Grade 1: step up

数検準1級

Practice questions

  1. Which expression writes cos(2θ) using only sin²θ?

    • 1-sin²θ
    • 1-2sin²θ
    • sin²θ-1
    • 2sin²θ-1
  2. What is the value of log₁₀100?

    • 1
    • 3
    • 10
    • 2
  3. Differentiate f(x) = x²·eˣ.

    • (2x+1)eˣ
    • (2x+x²)eˣ
    • 2x·eˣ
    • x²eˣ
  4. Solve cosx = 0 for 0 ≦ x < 2π.

    • x=0, π
    • x=π/2 only
    • x=π/4, 3π/4
    • x=π/2, 3π/2
  5. What is the value of ∫₀^(π/2) cosθ dθ?

    • -1
    • 2
    • 1
    • 0