MCQ Collection

NCEA Level 3 Mathematics MCQs

Practice NCEA Level 3 Mathematics questions with answers and explanations.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 30: 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 3. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 31: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+5x²+2x, what is f′(5)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 16: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=4uₙ with u₀=5. What is u_7?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 17: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Find the determinant of [[4,3],[5,6]].

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 18: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Differentiate 4sin x with respect to x.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 19: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−12)²+220. At what x is revenue maximised?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 20: 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 2. Which interpretation is most defensible?

Choose an option to check your answer.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 21: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+4x²+5x, what is f′(4)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 22: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^5 (5x+4) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 23: 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 24: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 66 and standard deviation 7. What is the z-score of 80?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 25: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $35 with probability 0.29 and loses $8 otherwise. What is the expected value?

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