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 71: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. For f(x)=x³+4x²+2x, what is f′(4)?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 72: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^5 (5x+3) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 73: 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 74: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 76 and standard deviation 7. What is the z-score of 90?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 75: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $60 with probability 0.26 and loses $13 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 76: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=4uₙ with u₀=11. What is u_5?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 68: 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 69: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A revenue model is R(x)=−2(x−17)²+270. At what x is revenue maximised?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 70: 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 7. Which interpretation is most defensible?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 64: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 74 and standard deviation 6. What is the z-score of 86?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 65: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $55 with probability 0.23 and loses $12 otherwise. What is the expected value?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 66: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A recurrence is uₙ₊₁=3uₙ with u₀=10. What is u_8?

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