Adam scores a total of 32 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 |
8 |
8 x 4 = 32 |
62 |
32 |
(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 - 32
= 248
Small difference in marks deducted
= 280 - 276
= 4
Number of questions answered incorrectly
= 248 ÷ 4
= 62
(b)
Number of questions answered correctly
= 70 - 62
= 8
Answer(s): (a) 62; (b) 8