中一MATH

2010-07-15 6:00 am
In a test,there are 25 questions. 4 marks are given for each correct answer while 1 mark is for each wrong answer or if no answer is given. If a student gets 75
marks ,how many correct answers does he get?

回答 (5)

2010-07-15 8:33 pm
對不起!可能我的英文水平不好,題目不是說:就算答錯或沒有答題,都會給予一分嗎?

請各位指教
2010-07-15 5:47 pm
If the student get all correct answers, he will get 100.

However, he only get 75 marks, means he lost 25 marks.

If he get a wrong answer / no answer is given. He actually lost 5marks but not 1 mark.

Now, he lost 25marks, so he does not answer/ answers wrong 25/5=5 questions. Finally, he answers 20 questions correctly.
參考: myself
2010-07-15 5:35 pm
意見001:
題目不是說no answer 0分,是說no answer 扣1分,不信的話你可以看看題目哪裏有0這個數字出現?
2010-07-15 6:14 am
請容許我用中文回答。題目是否說答錯1題或不答會扣1分?

假設這個學生全部的答案都是對的,那麼他/她就會得到100分,但他/她現在只是得75分,少了25分,而他/她答錯1題或不答1題,不但得不到4分,還會扣1分,即少了5分,現在共少了25分,所以他/她答錯了或不答25/5=5(題),即他/她答對了20題。

補充:這是一雞兔同籠問題,可用聯立二元一次方程組解題,或用以上般簡單的分析就能求得答案。

~~希望可以幫到你~~

2010-07-15 19:27:51 補充:
我想不是003你的英文能力不好,而是題目錯了。
因為如果是不答或答錯都給1分的話,答案就不是整數了。
2010-07-15 6:08 am
Let x be the numbers of correct answers:
4x-1(25-x)=75
4x-25+x....=75
5x.............=100
x...............=20

2010-07-14 22:24:34 補充:
Correct=+4
Wrong=-1
no answer =0


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