Adam scores a total of 42 marks.
There are a total of 70 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 |
70 |
70 x 3 = 210 |
0 |
210 |
69 |
69 x 3 = 207 |
1 |
207 |
14 |
14 x 3 = 42 |
56 |
42 |
(a)
Total score if Adam answers all the questions correctly
= 70 x 3
= 210
Total score if Adam answers one question wrongly
= 69 x 3
= 207
Big difference in marks deducted
= 210 - 42
= 168
Small difference in marks deducted
= 210 - 207
= 3
Number of questions answered incorrectly
= 168 ÷ 3
= 56
(b)
Number of questions answered correctly
= 70 - 56
= 14
Answer(s): (a) 56; (b) 14