Adam scores a total of 35 marks.
There are a total of 70 questions.
Every correct answer will earn 5 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 5 = 350 |
0 |
350 |
69 |
69 x 5 = 345 |
1 |
345 |
7 |
7 x 5 = 35 |
63 |
35 |
(a)
Total score if Adam answers all the questions correctly
= 70 x 5
= 350
Total score if Adam answers one question wrongly
= 69 x 5
= 345
Big difference in marks deducted
= 350 - 35
= 315
Small difference in marks deducted
= 350 - 345
= 5
Number of questions answered incorrectly
= 315 ÷ 5
= 63
(b)
Number of questions answered correctly
= 70 - 63
= 7
Answer(s): (a) 63; (b) 7