Adam scores a total of 73 marks.
There are a total of 36 questions.
Every correct answer will earn 3 marks.
Every blank or wrong answer will have 4 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
|
36 |
36 x 3 = 108 |
0 |
0 |
108 - 0 = 108 |
35 |
35 x 3 = 105 |
1 |
1 x 4 = 4 |
105 - 4 = 101 |
31 |
93 |
5 |
5 x 4 = 20 |
93 - 20 = 73 |
(a)
Total score if Adam answers all the questions correctly
= 36 x 3
= 108
Total score if Adam answers one question wrongly
= 105 - 4
= 101
Big difference in total score
= 108 - 73
= 35
Small difference in total score
= 3 + 4
= 7
Number of questions answered incorrectly
= 35 ÷ 7
= 5
(b)
Number of questions answered correctly
= 36 - 5
= 31
Answer(s): (a) 5; (b) 31