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 95: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $70 with probability 0.32 and loses $15 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 80: 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 8. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 81: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+5x²+3x, what is f′(5)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 82: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^6 (6x+4) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 83: 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 84: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 78 and standard deviation 8. What is the z-score of 94?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 85: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $65 with probability 0.29 and loses $14 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 86: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=2uₙ with u₀=12. What is u_6?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 87: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Find the determinant of [[11,2],[7,7]].

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 77: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Find the determinant of [[10,1],[6,6]].

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 78: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Differentiate 5sin x with respect to x.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 79: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−18)²+280. At what x is revenue maximised?

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