Adam scores a total of 48 marks.
There are a total of 90 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 |
90 |
90 x 2 = 180 |
0 |
180 |
89 |
89 x 2 = 178 |
1 |
178 |
24 |
24 x 2 = 48 |
66 |
48 |
(a)
Total score if Adam answers all the questions correctly
= 90 x 2
= 180
Total score if Adam answers one question wrongly
= 89 x 2
= 178
Big difference in marks deducted
= 180 - 48
= 132
Small difference in marks deducted
= 180 - 178
= 2
Number of questions answered incorrectly
= 132 ÷ 2
= 66
(b)
Number of questions answered correctly
= 90 - 66
= 24
Answer(s): (a) 66; (b) 24