Adam scores a total of 55 marks.
There are a total of 37 questions.
Every correct answer will earn 3 marks.
Every blank or wrong answer will have 5 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 5 = 5 |
108 - 5 = 103 |
30 |
90 |
7 |
7 x 5 = 35 |
90 - 35 = 55 |
(a)
Total score if Adam answers all the questions correctly
= 37 x 3
= 111
Total score if Adam answers one question wrongly
= 108 - 5
= 103
Big difference in total score
= 111 - 55
= 56
Small difference in total score
= 3 + 5
= 8
Number of questions answered incorrectly
= 56 ÷ 8
= 7
(b)
Number of questions answered correctly
= 37 - 7
= 30
Answer(s): (a) 7; (b) 30