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 56: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=2uₙ with u₀=9. What is u_7?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 45: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $45 with probability 0.35 and loses $10 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 46: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=4uₙ with u₀=8. What is u_6?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 47: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Find the determinant of [[7,2],[3,9]].

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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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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 37: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Find the determinant of [[6,1],[7,8]].

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 38: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Differentiate 6sin x with respect to x.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 39: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−14)²+240. At what x is revenue maximised?

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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?

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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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