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 26: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=2uₙ with u₀=6. What is u_8?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 6: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=3uₙ with u₀=4. What is u_6?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 7: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Find the determinant of [[3,2],[4,5]].

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 8: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Differentiate 3sin x with respect to x.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 9: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−11)²+210. At what x is revenue maximised?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 10: 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 1. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 11: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+3x²+4x, what is f′(3)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 12: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^4 (4x+3) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 13: 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 14: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 64 and standard deviation 6. What is the z-score of 76?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 15: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $30 with probability 0.26 and loses $7 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 1: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+2x²+3x, what is f′(2)?

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