MCQ Collection

New Zealand MCQs

Practice New Zealand questions with answers and explanations.

nz-scholarship Scholarship Mathematics New ZealandHard

Data task 52: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Evaluate ∫₀^3 (3x+1) dx.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 53: 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 54: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A normal model has mean 72 and standard deviation 5. What is the z-score of 82?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 36: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A recurrence is uₙ₊₁=3uₙ with u₀=7. What is u_5?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 37: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Find the determinant of [[6,1],[7,8]].

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 38: 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 39: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A revenue model is R(x)=−2(x−14)²+240. At what x is revenue maximised?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 40: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A study reports a 95% confidence interval from sample 4. Which interpretation is most defensible?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 41: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. For f(x)=x³+1x²+3x, what is f′(1)?

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 42: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Evaluate ∫₀^2 (2x+6) dx.

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nz-scholarship Scholarship Mathematics New ZealandHard

Data task 43: 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 28: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Differentiate 5sin x with respect to x.

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