IB E-assessment: Number and Abstract Reasoning
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Questions and Answers

What is the result of the expression $(5x^3 - 2x)^2$?

  • $25x^6 - 20x^4 + 4x^2$ (correct)
  • $25x^6 - 20x^4 + 4$
  • $25x^6 - 20x^4 - 4x$
  • $25x^6 - 20x^4 + 4x^3

In a right-angled triangle with hypotenuse 13 cm and one side 12 cm, what is the sine of the angle opposite to the 12 cm side?

  • 5/13
  • 12/5
  • 4/5
  • 12/13 (correct)

Find the smallest positive integer that satisfies the inequality $2x + 1 \leqslant 3(4 - x)$.

  • 2
  • 1
  • 4 (correct)
  • 3

Which of the following is the equation of a parabola with a vertex at (3, -2) and a directrix $x = 2$?

<p>$(x - 3)^2 = -16(y + 2)$ (D)</p> Signup and view all the answers

What is the median of the data set: 3, 5, 9, 11, 13, 17, 27?

<p>11 (A)</p> Signup and view all the answers

Which of the following is a correct simplification of $\sqrt[3]{64x^6}$?

<p>$4x^2$ (A)</p> Signup and view all the answers

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