Adam scores a total of 74 marks.
There are a total of 40 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
|
40 |
40 x 5 = 200 |
0 |
0 |
200 - 0 = 200 |
39 |
39 x 5 = 195 |
1 |
1 x 4 = 4 |
195 - 4 = 191 |
26 |
130 |
14 |
14 x 4 = 56 |
130 - 56 = 74 |
(a)
Total score if Adam answers all the questions correctly
= 40 x 5
= 200
Total score if Adam answers one question wrongly
= 195 - 4
= 191
Big difference in total score
= 200 - 74
= 126
Small difference in total score
= 5 + 4
= 9
Number of questions answered incorrectly
= 126 ÷ 9
= 14
(b)
Number of questions answered correctly
= 40 - 14
= 26
Answer(s): (a) 14; (b) 26