MCQ Collection

New Zealand MCQs

Practice New Zealand questions with answers and explanations.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 50: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A study reports a 95% confidence interval from sample 5. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 51: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+2x²+4x, what is f′(2)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 52: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^3 (3x+1) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 53: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. What is the modulus of the complex number 8+15i?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 54: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 72 and standard deviation 5. What is the z-score of 82?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 55: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $50 with probability 0.2 and loses $11 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 40: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A study reports a 95% confidence interval from sample 4. Which interpretation is most defensible?

Choose an option to check your answer.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 41: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+1x²+3x, what is f′(1)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 42: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^2 (2x+6) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 43: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. What is the modulus of the complex number 5+12i?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 44: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 70 and standard deviation 4. What is the z-score of 78?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 36: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=3uₙ with u₀=7. What is u_5?

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