MCQ Collection

New Zealand MCQs

Practice New Zealand questions with answers and explanations.

nz-scholarship Scholarship Mathematics New ZealandHard

Data task 79: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A revenue model is R(x)=−2(x−18)²+280. At what x is revenue maximised?

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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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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 81: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. For f(x)=x³+5x²+3x, what is f′(5)?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 82: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Evaluate ∫₀^6 (6x+4) dx.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 83: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. What is the modulus of the complex number 5+12i?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 84: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A normal model has mean 78 and standard deviation 8. What is the z-score of 94?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 85: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A decision yields $65 with probability 0.29 and loses $14 otherwise. What is the expected value?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 71: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. For f(x)=x³+4x²+2x, what is f′(4)?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 72: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Evaluate ∫₀^5 (5x+3) dx.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 73: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. What is the modulus of the complex number 3+4i?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 74: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A normal model has mean 76 and standard deviation 7. What is the z-score of 90?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 75: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A decision yields $60 with probability 0.26 and loses $13 otherwise. What is the expected value?

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