MCQ Collection

New Zealand MCQs

Practice New Zealand questions with answers and explanations.

nz-scholarship Scholarship Mathematics New ZealandHard

Data task 20: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A study reports a 95% confidence interval from sample 2. Which interpretation is most defensible?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 21: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. For f(x)=x³+4x²+5x, what is f′(4)?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 22: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Evaluate ∫₀^5 (5x+4) dx.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 23: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. What is the modulus of the complex number 7+24i?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 24: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A normal model has mean 66 and standard deviation 7. What is the z-score of 80?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 25: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A decision yields $35 with probability 0.29 and loses $8 otherwise. What is the expected value?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 26: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A recurrence is uₙ₊₁=2uₙ with u₀=6. What is u_8?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 12: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Evaluate ∫₀^4 (4x+3) dx.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 13: 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 14: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A normal model has mean 64 and standard deviation 6. What is the z-score of 76?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 15: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A decision yields $30 with probability 0.26 and loses $7 otherwise. What is the expected value?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 6: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A recurrence is uₙ₊₁=3uₙ with u₀=4. What is u_6?

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