Adam scores a total of 81 marks.
There are a total of 37 questions.
Every correct answer will earn 3 marks.
Every blank or wrong answer will have 2 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
|
37 |
37 x 3 = 111 |
0 |
0 |
111 - 0 = 111 |
36 |
36 x 3 = 108 |
1 |
1 x 2 = 2 |
108 - 2 = 106 |
31 |
93 |
6 |
6 x 2 = 12 |
93 - 12 = 81 |
(a)
Total score if Adam answers all the questions correctly
= 37 x 3
= 111
Total score if Adam answers one question wrongly
= 108 - 2
= 106
Big difference in total score
= 111 - 81
= 30
Small difference in total score
= 3 + 2
= 5
Number of questions answered incorrectly
= 30 ÷ 5
= 6
(b)
Number of questions answered correctly
= 37 - 6
= 31
Answer(s): (a) 6; (b) 31