MCQ Collection

nz-scholarship MCQs

Practice nz-scholarship questions with answers and explanations.

nz-scholarship Scholarship Sciences New ZealandHard

Science task 105: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A weak acid has pKa 4.1 at pH 5.1. What is [A⁻]/[HA]?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 86: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A recurrence is uₙ₊₁=2uₙ with u₀=12. What is u_6?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 87: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Find the determinant of [[11,2],[7,7]].

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 88: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Differentiate 6sin x with respect to x.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 89: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A revenue model is R(x)=−2(x−19)²+290. At what x is revenue maximised?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 90: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A study reports a 95% confidence interval from sample 9. Which interpretation is most defensible?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 91: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. For f(x)=x³+1x²+4x, what is f′(1)?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 92: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Evaluate ∫₀^2 (2x+5) dx.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 93: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. What is the modulus of the complex number 8+15i?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 94: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A normal model has mean 80 and standard deviation 4. What is the z-score of 88?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 95: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A decision yields $70 with probability 0.32 and loses $15 otherwise. What is the expected value?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 80: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A study reports a 95% confidence interval from sample 8. Which interpretation is most defensible?

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