Math Test Pre-Grade 1 quiz

数検準1級

Practice questions

  1. What is the value of Σ(k=1 to n) k (the sum of the integers from 1 to n)?

    • n²
    • n(n+1)
    • n(n-1)/2
    • n(n+1)/2
  2. In the sequence {aₙ}, a₁ = 2 and aₙ₊₁ = aₙ + 3. What is a₅?

    • 17
    • 20
    • 11
    • 14
  3. What is the value of (1+i)²?

    • 1+2i
    • 1-2i
    • 2i
    • 2
  4. Solve log₂(x+1) = 3.

    • x=5
    • x=9
    • x=3
    • x=7
  5. What is the indefinite integral ∫(1/x)dx? (x > 0)

    • 1/x²+C
    • x·ln x+C
    • ln|x|+C
    • -1/x+C