MCQ Collection

ncea-level-3 MCQs

Practice ncea-level-3 questions with answers and explanations.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 60: 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 6. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 61: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+3x²+5x, what is f′(3)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 62: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^4 (4x+2) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 63: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. What is the modulus of the complex number 7+24i?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 48: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Differentiate 2sin x with respect to x.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 49: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−15)²+250. At what x is revenue maximised?

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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?

Choose an option to check your answer.

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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