ECZ 2020 · O-Level Paper 1 — Variation

It is given that y varies directly as the cube root of x and inversely as the square of z, and y = 2 when x = 8 and z = 4. Find the values of z when y = 12 and x = 27.

  • A. z = 2 only
  • B. z = ±4
  • C. z = ±16
  • D. z = ±2

Verified working — step 1

Find k from the given values first, then solve for z, which sits squared in the denominator.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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