MCQ Collection

NCEA Level 2 Mathematics MCQs

Practice NCEA Level 2 Mathematics questions with answers and explanations.

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Data task 93: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. For a right triangle with opposite side 7 and hypotenuse 25, what is sin θ?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 94: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Two groups have sizes 40 and 40, with means 65 and 69. What is the combined mean?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 95: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. In a survey, 40 people meet condition A and 12 meet both A and B. What is P(B|A)?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 80: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Solve 2^x = 32.

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 81: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Solve x + y = 16 and 2x − y = 20. What is x?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 82: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. An investment of $725 grows at 6% compound interest for 2 years. What is its value?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 83: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. For a right triangle with opposite side 16 and hypotenuse 34, what is sin θ?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 84: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Two groups have sizes 38 and 39, with means 64 and 68. What is the combined mean?

Choose an option to check your answer.

ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 85: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. In a survey, 39 people meet condition A and 11 meet both A and B. What is P(B|A)?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 77: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Solve (x − 2)(x − 10) = 0.

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 78: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. For y = 5x + 3, find y when x = 6.

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 79: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. The function f(x)=−(x−4)²+64 models output. What is its maximum value?

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