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CCEA A-Level Mathematics AS 1 Pure Mathematics overview quiz quiz

17questions. Pick an answer and you'll see why right away.

  1. What does am/na^{m/n} equal?

  2. Simplify 50\sqrt{50}.

  3. The discriminant of a quadratic is zero. How many real roots does it have?

  4. By the factor theorem, (x−2)(x - 2) is a factor of p(x)p(x) if:

  5. Two lines are perpendicular. What is the product of their gradients?

  6. The equation (x−4)2+(y+1)2=9(x - 4)^2 + (y + 1)^2 = 9 is a circle. What is its centre?

  7. In the expansion of (a+b)4(a + b)^4, the coefficients are:

  8. What is the period of the graph y=cos⁡θy = \cos\theta?

  9. Which rule finds the third side of a triangle given two sides and the included angle?

  10. Solve 3x=813^x = 81.

  11. Which law of logarithms is correct?

  12. Differentiate y=x5y = x^5.

  13. At a maximum stationary point, the second derivative is:

  14. What must you add to an indefinite integral?

  15. Evaluate ∫132x dx\int_1^3 2x\,dx.

  16. The position vectors of A and B are a\mathbf{a} and b\mathbf{b}. What is AB→\overrightarrow{AB}?

  17. What is the magnitude of the vector 5i−12j5\mathbf{i} - 12\mathbf{j}?