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NSW Stage 5

Year 10 Practice

The final year before senior study — completing Stage 5 and preparing subject choices for the HSC.

What to focus on in Year 10

  • Sophisticated writing and analysis
  • Advanced algebra and problem solving
  • Science depth and application
  • Senior-study readiness

Free Year 10 sample questions

Year 10-level questions. Try each, then reveal the worked answer.

Mathematical Reasoning · Sample 1

If log₂(x) = 5, what is x?

  • A. 10
  • B. 25
  • C. 32
  • D. 16
Show answer & explanation

Answer: C — 32

log₂(x) = 5 means 2⁵ = x. 2⁵ = 2 × 2 × 2 × 2 × 2 = 32.

Mathematical Reasoning · Sample 2

A circle has equation x² + y² = 25. What is the area enclosed?

  • A. 25π
  • B. 5π
  • C. 10π
  • D. 50π
Show answer & explanation

Answer: A — 25π

x² + y² = r² so r² = 25, r = 5. Area = πr² = π × 25 = 25π.

Reading · Sample 3

In Shakespeare's Hamlet, the protagonist's famous soliloquy "To be or not to be" is not merely about suicide but a philosophical meditation on the nature of suffering and inaction. Hamlet weighs the pain of enduring life's injustices against the unknown "undiscovered country" of death.

What literary technique does the phrase "undiscovered country" employ?

  • A. Simile — comparing death to a journey
  • B. Metaphor — representing death as unknown territory
  • C. Personification — giving death human qualities
  • D. Alliteration — emphasising the sound pattern
Show answer & explanation

Answer: B — Metaphor — representing death as unknown territory

Death is called an "undiscovered country" — a direct comparison without "like" or "as", making it a metaphor. It equates death with unexplored territory to convey unknowability.

Thinking Skills · Sample 4

The function f(x) = x² − 4x + 3. At what value of x does the minimum occur?

  • A. x = 3
  • B. x = 1
  • C. x = 2
  • D. x = −2
Show answer & explanation

Answer: C — x = 2

For f(x) = ax² + bx + c, the vertex x = −b/2a = −(−4)/(2×1) = 4/2 = 2. The minimum is at x = 2.

Practise at Year 10 level

Get a free, scored readiness check, then practise Year 10-level questions with adaptive difficulty and step-by-step coaching hints.

Free readiness checkSee practice plans
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Frequently asked questions

What does Year 10 cover in the NSW curriculum?
Year 10 sits in Stage 5 of the NSW curriculum. Key focus areas include sophisticated writing and analysis, advanced algebra and problem solving, science depth and application.
Does Year 10 sit NAPLAN, OC or the Selective test?
Year 10 does not sit NAPLAN, the OC test or the Selective test. These are sat in specific years — NAPLAN in Years 3, 5, 7 and 9, the OC Placement Test in Year 4, and the Selective Placement Test in Year 6.
How can my child practise for Year 10?
Practise the question types your child will actually face — reading comprehension, mathematical reasoning and thinking skills — at Year 10 level. Start with the free sample questions above, then use adaptive daily practice that adjusts to your child's level.