Adam scores a total of 66 marks.
There are a total of 27 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
|
27 |
27 x 4 = 108 |
0 |
0 |
108 - 0 = 108 |
26 |
26 x 4 = 104 |
1 |
1 x 3 = 3 |
104 - 3 = 101 |
21 |
84 |
6 |
6 x 3 = 18 |
84 - 18 = 66 |
(a)
Total score if Adam answers all the questions correctly
= 27 x 4
= 108
Total score if Adam answers one question wrongly
= 104 - 3
= 101
Big difference in total score
= 108 - 66
= 42
Small difference in total score
= 4 + 3
= 7
Number of questions answered incorrectly
= 42 ÷ 7
= 6
(b)
Number of questions answered correctly
= 27 - 6
= 21
Answer(s): (a) 6; (b) 21