MCQ Collection

New Zealand MCQs

Practice New Zealand questions with answers and explanations.

nz-scholarship Scholarship Mathematics New ZealandHard

Data task 56: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A recurrence is uₙ₊₁=2uₙ with u₀=9. What is u_7?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 57: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Find the determinant of [[8,3],[4,4]].

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 58: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Differentiate 3sin x with respect to x.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 59: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A revenue model is R(x)=−2(x−16)²+260. At what x is revenue maximised?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 44: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A normal model has mean 70 and standard deviation 4. What is the z-score of 78?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 45: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A decision yields $45 with probability 0.35 and loses $10 otherwise. What is the expected value?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 46: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A recurrence is uₙ₊₁=4uₙ with u₀=8. What is u_6?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 47: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Find the determinant of [[7,2],[3,9]].

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 48: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Differentiate 2sin x with respect to x.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 49: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A revenue model is R(x)=−2(x−15)²+250. At what x is revenue maximised?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 50: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A study reports a 95% confidence interval from sample 5. Which interpretation is most defensible?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 51: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. For f(x)=x³+2x²+4x, what is f′(2)?

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