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 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?

Choose an option to check your answer.

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?

Choose an option to check your answer.

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)?

Choose an option to check your answer.

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.

Choose an option to check your answer.

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?

Choose an option to check your answer.

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?

Choose an option to check your answer.

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?

Choose an option to check your answer.

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)?

Choose an option to check your answer.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 2: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. Evaluate ∫₀^3 (3x+2) dx.

Choose an option to check your answer.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 3: 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?

Choose an option to check your answer.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 4: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A normal model has mean 62 and standard deviation 5. What is the z-score of 72?

Choose an option to check your answer.

ncea-level-3 NCEA Level 3 Mathematics New ZealandMedium

Data task 5: A New Zealand Level 3 learner evaluates evidence and justifies a conclusion in a complex context. A decision yields $25 with probability 0.23 and loses $6 otherwise. What is the expected value?

Choose an option to check your answer.