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 52: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^3 (3x+1) dx.

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 53: 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 54: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 72 and standard deviation 5. What is the z-score of 82?

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ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 55: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $50 with probability 0.2 and loses $11 otherwise. What is the expected value?

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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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