MCQ Collection

New Zealand MCQs

Practice New Zealand questions with answers and explanations.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 74: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 76 and standard deviation 7. What is the z-score of 90?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 75: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $60 with probability 0.26 and loses $13 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 76: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=4uₙ with u₀=11. What is u_5?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 71: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+4x²+2x, what is f′(4)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 68: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Differentiate 4sin x with respect to x.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 69: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−17)²+270. At what x is revenue maximised?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 70: 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 7. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 57: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Find the determinant of [[8,3],[4,4]].

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 58: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Differentiate 3sin x with respect to x.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 59: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−16)²+260. At what x is revenue maximised?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 60: 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 6. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 61: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+3x²+5x, what is f′(3)?

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