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OCR A-Level Maths A Pure advanced overview quiz quiz

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

  1. Which rule should you use to find the third side of a triangle given two sides and the angle between them?

  2. What is the exact value of sin60\sin 60^\circ?

  3. A sector has radius 1010 cm and angle 0.60.6 radians. What is its area?

  4. For small θ\theta in radians, which approximation is correct?

  5. Which is a correct form of the double angle identity for cos2A\cos 2A?

  6. Writing asinθ+bcosθ=Rsin(θ+α)a\sin\theta + b\cos\theta = R\sin(\theta + \alpha), what is RR?

  7. What is the value of log101000\log_{10} 1000?

  8. Solving 5x=405^x = 40, what is xx to three significant figures?

  9. For an inverse function f1f^{-1} to exist over the whole domain, the function ff must be:

  10. If f(x)=x2f(x) = x^2 and g(x)=x+1g(x) = x + 1, what is fg(x)fg(x)?

  11. In the decomposition of 1(x1)2\frac{1}{(x - 1)^2}, which terms are needed?

  12. Points AA and BB have position vectors i+2j\mathbf{i} + 2\mathbf{j} and 4i+6j4\mathbf{i} + 6\mathbf{j}. What is AB|\overrightarrow{AB}|?