Adam scores a total of 36 marks.
There are a total of 30 questions.
Every correct answer will earn 2 marks.
Every wrong answer will earn 0 marks.
How many questions are (a) incorrectly answered and (b) correctly answered?
Number of correct answers |
Marks earned |
Number of incorrect answers |
Total marks |
30 |
30 x 2 = 60 |
0 |
60 |
29 |
29 x 2 = 58 |
1 |
58 |
18 |
18 x 2 = 36 |
12 |
36 |
(a)
Total score if Adam answers all the questions correctly
= 30 x 2
= 60
Total score if Adam answers one question wrongly
= 29 x 2
= 58
Big difference in marks deducted
= 60 - 36
= 24
Small difference in marks deducted
= 60 - 58
= 2
Number of questions answered incorrectly
= 24 ÷ 2
= 12
(b)
Number of questions answered correctly
= 30 - 12
= 18
Answer(s): (a) 12; (b) 18