Adam scores a total of 36 marks.
There are a total of 70 questions.
Every correct answer will earn 4 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 4 = 280 |
0 |
280 |
69 |
69 x 4 = 276 |
1 |
276 |
9 |
9 x 4 = 36 |
61 |
36 |
(a)
Total score if Adam answers all the questions correctly
= 70 x 4
= 280
Total score if Adam answers one question wrongly
= 69 x 4
= 276
Big difference in marks deducted
= 280 - 36
= 244
Small difference in marks deducted
= 280 - 276
= 4
Number of questions answered incorrectly
= 244 ÷ 4
= 61
(b)
Number of questions answered correctly
= 70 - 61
= 9
Answer(s): (a) 61; (b) 9