Adam scores a total of 36 marks.
There are a total of 100 questions.
Every correct answer will earn 3 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 |
100 |
100 x 3 = 300 |
0 |
300 |
99 |
99 x 3 = 297 |
1 |
297 |
12 |
12 x 3 = 36 |
88 |
36 |
(a)
Total score if Adam answers all the questions correctly
= 100 x 3
= 300
Total score if Adam answers one question wrongly
= 99 x 3
= 297
Big difference in marks deducted
= 300 - 36
= 264
Small difference in marks deducted
= 300 - 297
= 3
Number of questions answered incorrectly
= 264 ÷ 3
= 88
(b)
Number of questions answered correctly
= 100 - 88
= 12
Answer(s): (a) 88; (b) 12