Adam scores a total of 80 marks.
There are a total of 34 questions.
Every correct answer will earn 5 marks.
Every blank or wrong answer will have 4 marks deducted.
How many questions are (a) incorrectly answered and (b) correctly answered?
Number of correct answers |
Marks earned
|
Number of incorrect answers |
Marks deducted
|
Total score
|
34 |
34 x 5 = 170 |
0 |
0 |
170 - 0 = 170 |
33 |
33 x 5 = 165 |
1 |
1 x 4 = 4 |
165 - 4 = 161 |
24 |
120 |
10 |
10 x 4 = 40 |
120 - 40 = 80 |
(a)
Total score if Adam answers all the questions correctly
= 34 x 5
= 170
Total score if Adam answers one question wrongly
= 165 - 4
= 161
Big difference in total score
= 170 - 80
= 90
Small difference in total score
= 5 + 4
= 9
Number of questions answered incorrectly
= 90 ÷ 9
= 10
(b)
Number of questions answered correctly
= 34 - 10
= 24
Answer(s): (a) 10; (b) 24