Adam scores a total of 52 marks.
There are a total of 28 questions.
Every correct answer will earn 4 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
|
28 |
28 x 4 = 112 |
0 |
0 |
112 - 0 = 112 |
27 |
27 x 4 = 108 |
1 |
1 x 2 = 2 |
108 - 2 = 106 |
18 |
72 |
10 |
10 x 2 = 20 |
72 - 20 = 52 |
(a)
Total score if Adam answers all the questions correctly
= 28 x 4
= 112
Total score if Adam answers one question wrongly
= 108 - 2
= 106
Big difference in total score
= 112 - 52
= 60
Small difference in total score
= 4 + 2
= 6
Number of questions answered incorrectly
= 60 ÷ 6
= 10
(b)
Number of questions answered correctly
= 28 - 10
= 18
Answer(s): (a) 10; (b) 18