Adam scores a total of 120 marks.
There are a total of 33 questions.
Every correct answer will earn 5 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
|
33 |
33 x 5 = 165 |
0 |
0 |
165 - 0 = 165 |
32 |
32 x 5 = 160 |
1 |
1 x 4 = 4 |
160 - 4 = 156 |
28 |
140 |
5 |
5 x 4 = 20 |
140 - 20 = 120 |
(a)
Total score if Adam answers all the questions correctly
= 33 x 5
= 165
Total score if Adam answers one question wrongly
= 160 - 4
= 156
Big difference in total score
= 165 - 120
= 45
Small difference in total score
= 5 + 4
= 9
Number of questions answered incorrectly
= 45 ÷ 9
= 5
(b)
Number of questions answered correctly
= 33 - 5
= 28
Answer(s): (a) 5; (b) 28