Adam scores a total of 97 marks.
There are a total of 40 questions.
Every correct answer will earn 4 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
|
40 |
40 x 4 = 160 |
0 |
0 |
160 - 0 = 160 |
39 |
39 x 4 = 156 |
1 |
1 x 3 = 3 |
156 - 3 = 153 |
31 |
124 |
9 |
9 x 3 = 27 |
124 - 27 = 97 |
(a)
Total score if Adam answers all the questions correctly
= 40 x 4
= 160
Total score if Adam answers one question wrongly
= 156 - 3
= 153
Big difference in total score
= 160 - 97
= 63
Small difference in total score
= 4 + 3
= 7
Number of questions answered incorrectly
= 63 ÷ 7
= 9
(b)
Number of questions answered correctly
= 40 - 9
= 31
Answer(s): (a) 9; (b) 31