Adam scores a total of 50 marks.
There are a total of 50 questions.
Every correct answer will earn 5 marks.
Every wrong answer will earn 0 marks.
How many questions are (a) incorrectly answered and (b) correctly answered?
Number of correct answers |
Marks earned |
Number of incorrect answers |
Total marks |
50 |
50 x 5 = 250 |
0 |
250 |
49 |
49 x 5 = 245 |
1 |
245 |
10 |
10 x 5 = 50 |
40 |
50 |
(a)
Total score if Adam answers all the questions correctly
= 50 x 5
= 250
Total score if Adam answers one question wrongly
= 49 x 5
= 245
Big difference in marks deducted
= 250 - 50
= 200
Small difference in marks deducted
= 250 - 245
= 5
Number of questions answered incorrectly
= 200 ÷ 5
= 40
(b)
Number of questions answered correctly
= 50 - 40
= 10
Answer(s): (a) 40; (b) 10