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AQA A-Level Mathematics Pure mathematics overview quiz quiz

12questions. Pick an answer and you'll see why right away.

  1. What is the derivative of y=x5y = x^5?

  2. What is x2dx\int x^2\,dx?

  3. Which method of proof finds a single example where a statement fails?

  4. Using the chain rule, what is the derivative of y=sin(3x)y = \sin(3x)?

  5. What is the value of loga(xk)\log_a(x^k) by the laws of logarithms?

  6. For a sector of radius rr and angle θ\theta in radians, what is the arc length?

  7. Solving sinx=12\sin x = \frac{1}{2} for 0x2π0 \le x \le 2\pi, what are the solutions?

  8. What is the magnitude of the vector 3i+4j3\mathbf{i} + 4\mathbf{j}?

  9. The Newton-Raphson method can fail when which quantity is zero or near zero?

  10. How do you classify a stationary point where the second derivative is positive?

  11. Which proof technique assumes the statement is false and derives an impossibility?

  12. Using the trapezium rule with two strips of width 11 and ordinates 00, 11, 44, what is the estimate?