Adam scores a total of 46 marks.
There are a total of 100 questions.
Every correct answer will earn 2 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 |
100 |
100 x 2 = 200 |
0 |
200 |
99 |
99 x 2 = 198 |
1 |
198 |
23 |
23 x 2 = 46 |
77 |
46 |
(a)
Total score if Adam answers all the questions correctly
= 100 x 2
= 200
Total score if Adam answers one question wrongly
= 99 x 2
= 198
Big difference in marks deducted
= 200 - 46
= 154
Small difference in marks deducted
= 200 - 198
= 2
Number of questions answered incorrectly
= 154 ÷ 2
= 77
(b)
Number of questions answered correctly
= 100 - 77
= 23
Answer(s): (a) 77; (b) 23