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WJEC AS Unit 1 Pure Mathematics A overview quiz quiz

15questions. Pick an answer and you'll see why right away.

  1. To disprove the statement 'for all integers n, n squared plus n plus 1 is prime', what is sufficient?

  2. What does the discriminant b squared minus 4ac tell you when it equals zero?

  3. When the expression 12 over (root 3 plus 1) is rationalised, what should you multiply numerator and denominator by?

  4. Two lines have gradients m1 and m2. Which condition means they are perpendicular?

  5. A circle has equation (x minus 3) squared plus (y plus 2) squared equals 25. What is its radius?

  6. In the binomial expansion of (a plus b) to the power n, what is the general term?

  7. Solving sin theta equals minus one half for 0 to 360 degrees, in which quadrants do the solutions lie?

  8. Which rule is correct for two sides and the included angle of a triangle?

  9. To solve 2 to the power x equals 20, what is the correct first step?

  10. Which is the correct law of logarithms?

  11. Differentiating y equals x to the power n by the power rule gives what?

  12. At a stationary point the second derivative is negative. What does this indicate?

  13. Why must an indefinite integral include a constant of integration?

  14. Points A and B have position vectors a and b. What is the displacement vector AB?

  15. A point P divides AB in the ratio 1 to 3. What fraction of the way along AB is P from A?