Question: A multiple-choice exam has 40 short questions in Section A, each scoring 2 marks, and 4 long questions in Section B, each scoring 5 marks.

A multiple-choice exam has 40 short questions in Section A, each scoring 2 marks, and 4 long questions in Section B, each scoring 5 marks. Each answer is either right and scores full marks, or wrong and scores nothing.

(i) Calculate the mark for a student who gets 30 answers correct in Section A and 3 answers correct in Section B.

(ii) Explain in words how you would calculate the total mark for a student who gets a answers (worth 2 marks each) correct in Section A, and b answers (worth 5 marks each) correct in Section B. Hence write down a formula for the total mark T if a student gets a answers correct in Section A and b answers correct in Section B.

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