Adam scores a total of 54 marks.
There are a total of 24 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
|
24 |
24 x 4 = 96 |
0 |
0 |
96 - 0 = 96 |
23 |
23 x 4 = 92 |
1 |
1 x 3 = 3 |
92 - 3 = 89 |
18 |
72 |
6 |
6 x 3 = 18 |
72 - 18 = 54 |
(a)
Total score if Adam answers all the questions correctly
= 24 x 4
= 96
Total score if Adam answers one question wrongly
= 92 - 3
= 89
Big difference in total score
= 96 - 54
= 42
Small difference in total score
= 4 + 3
= 7
Number of questions answered incorrectly
= 42 ÷ 7
= 6
(b)
Number of questions answered correctly
= 24 - 6
= 18
Answer(s): (a) 6; (b) 18