MCQ Collection

New Zealand MCQs

Practice New Zealand questions with answers and explanations.

ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 73: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. For a right triangle with opposite side 5 and hypotenuse 13, what is sin θ?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 74: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Two groups have sizes 36 and 38, with means 63 and 67. What is the combined mean?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 75: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. In a survey, 38 people meet condition A and 10 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 76: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. A geometric sequence has first term 5 and common ratio 4. What is term 5?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 68: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. For y = 4x + 10, find y when x = 5.

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 69: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. The function f(x)=−(x−3)²+61 models output. What is its maximum value?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 70: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Solve 2^x = 16.

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 57: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Solve (x − 7)(x − 6) = 0.

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 58: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. For y = 3x + 9, find y when x = 4.

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 59: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. The function f(x)=−(x−2)²+58 models output. What is its maximum value?

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 60: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Solve 2^x = 1024.

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ncea-level-2 NCEA Level 2 Mathematics New ZealandMedium

Data task 61: A New Zealand Level 2 learner connects multiple ideas in an applied local or national context. Solve x + y = 12 and 2x − y = 18. What is x?

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