Adam scores a total of 83 marks.
There are a total of 25 questions.
Every correct answer will earn 5 marks.
Every blank or wrong answer will have 2 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
|
25 |
25 x 5 = 125 |
0 |
0 |
125 - 0 = 125 |
24 |
24 x 5 = 120 |
1 |
1 x 2 = 2 |
120 - 2 = 118 |
19 |
95 |
6 |
6 x 2 = 12 |
95 - 12 = 83 |
(a)
Total score if Adam answers all the questions correctly
= 25 x 5
= 125
Total score if Adam answers one question wrongly
= 120 - 2
= 118
Big difference in total score
= 125 - 83
= 42
Small difference in total score
= 5 + 2
= 7
Number of questions answered incorrectly
= 42 ÷ 7
= 6
(b)
Number of questions answered correctly
= 25 - 6
= 19
Answer(s): (a) 6; (b) 19