There were a total of 84 questions in a school Science test. 6 marks were awarded for each correct answer and 2 marks were deducted for each incorrect answer or incomplete answer. Fiona could not complete all the questions in time and left the last 14 questions blank. She scored 224 marks. How many more correct answers than wrong or incomplete answers did she answer?
Correct answers
|
Marks awarded
(x6) |
Wrong or
incomplete answers |
Marks deducted
(x2) |
Difference
|
| 70 |
420 |
14 |
28 |
392 |
| 69 |
414 |
15 |
30 |
384 |
Number of questions completed
= 84 - 14
= 70
Big difference
= 392 - 224
= 168
Small Difference
= 392 - 384
= 8
Number of wrong answers
= 168 ÷ 8
= 21
Number of wrong and incomplete answers
= 21 + 14
= 35
Number of correct answers
= 84 - 35
= 49
Number of more correct answers than wrong or incomplete answers
= 49 - 35
= 14
Answer(s): 14
