Adam scores a total of 44 marks.
There are a total of 40 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 |
40 |
40 x 2 = 80 |
0 |
80 |
39 |
39 x 2 = 78 |
1 |
78 |
22 |
22 x 2 = 44 |
18 |
44 |
(a)
Total score if Adam answers all the questions correctly
= 40 x 2
= 80
Total score if Adam answers one question wrongly
= 39 x 2
= 78
Big difference in marks deducted
= 80 - 44
= 36
Small difference in marks deducted
= 80 - 78
= 2
Number of questions answered incorrectly
= 36 ÷ 2
= 18
(b)
Number of questions answered correctly
= 40 - 18
= 22
Answer(s): (a) 18; (b) 22