MCQ Collection

New Zealand MCQs

Practice New Zealand questions with answers and explanations.

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?

Choose an option to check your answer.

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?

Choose an option to check your answer.

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?

Choose an option to check your answer.

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?

Choose an option to check your answer.

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]].

Choose an option to check your answer.

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.

Choose an option to check your answer.

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?

Choose an option to check your answer.

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?

Choose an option to check your answer.

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)?

Choose an option to check your answer.

nz-scholarship Scholarship Mathematics New ZealandHard

Data task 76: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. A recurrence is uₙ₊₁=4uₙ with u₀=11. What is u_5?

Choose an option to check your answer.

nz-scholarship Scholarship Mathematics New ZealandHard

Data task 77: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Find the determinant of [[10,1],[6,6]].

Choose an option to check your answer.

nz-scholarship Scholarship Mathematics New ZealandHard

Data task 78: A New Zealand Scholarship candidate must demonstrate synthesis, independence and insight rather than routine recall. Differentiate 5sin x with respect to x.

Choose an option to check your answer.