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 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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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 44: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 70 and standard deviation 4. What is the z-score of 78?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 32: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^6 (6x+5) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 33: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. What is the modulus of the complex number 3+4i?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 34: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 68 and standard deviation 8. What is the z-score of 84?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 35: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $40 with probability 0.32 and loses $9 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 27: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Find the determinant of [[5,4],[6,7]].

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 28: 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 29: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−13)²+230. At what x is revenue maximised?

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