MCQ Collection

ncea-level-3 MCQs

Practice ncea-level-3 questions with answers and explanations.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 96: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=3uₙ with u₀=13. What is u_7?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 88: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Differentiate 6sin x with respect to x.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 89: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−19)²+290. At what x is revenue maximised?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 90: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A study reports a 95% confidence interval from sample 9. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 91: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+1x²+4x, what is f′(1)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 92: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^2 (2x+5) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 93: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. What is the modulus of the complex number 8+15i?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 94: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 80 and standard deviation 4. What is the z-score of 88?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 95: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $70 with probability 0.32 and loses $15 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 80: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A study reports a 95% confidence interval from sample 8. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 81: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+5x²+3x, what is f′(5)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 82: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^6 (6x+4) dx.

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