Adam scores a total of 82 marks.
There are a total of 34 questions.
Every correct answer will earn 5 marks.
Every blank or wrong answer will have 3 marks deducted.
How many questions are (a) incorrectly answered and (b) correctly answered?
Number of correct answers |
Marks earned
|
Number of incorrect answers |
Marks deducted
|
Total score
|
34 |
34 x 5 = 170 |
0 |
0 |
170 - 0 = 170 |
33 |
33 x 5 = 165 |
1 |
1 x 3 = 3 |
165 - 3 = 162 |
23 |
115 |
11 |
11 x 3 = 33 |
115 - 33 = 82 |
(a)
Total score if Adam answers all the questions correctly
= 34 x 5
= 170
Total score if Adam answers one question wrongly
= 165 - 3
= 162
Big difference in total score
= 170 - 82
= 88
Small difference in total score
= 5 + 3
= 8
Number of questions answered incorrectly
= 88 ÷ 8
= 11
(b)
Number of questions answered correctly
= 34 - 11
= 23
Answer(s): (a) 11; (b) 23