Math Test Pre-Grade 1: 5-question challenge

Practice questions

1. What is the indefinite integral of ∫(2x+1)dx?

   • x²+x+C
   • 2x²+x+C
   • x²+C
   • x²+2x+C

2. What is ∫₀² x² dx?

   • 2
   • 8/3
   • 4/3
   • 4

3. Solve sinx = 1/2 for 0 ≦ x < 2π.

   • x=π/6, 5π/6
   • x=π/4, 3π/4
   • x=π/3, 2π/3
   • x=π/6, π/3

4. Differentiate f(x) = sinx/x².

   • (cosx·x² - 2x sinx)/x⁴
   • cosx/x - 2sinx/x²
   • (cosx + 2sinx)/x³
   • (x cosx - 2sinx)/x³

5. From sin²x + cos²x = 1, if sin²x = 3/4, what is the value of cosx?

   • ±√3/2
   • ±√2/2
   • ±1/2
   • ±1/4