Adam scores a total of 144 marks.
There are a total of 40 questions.
Every correct answer will earn 5 marks.
Every blank or wrong answer will have 3 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
|
40 |
40 x 5 = 200 |
0 |
0 |
200 - 0 = 200 |
39 |
39 x 5 = 195 |
1 |
1 x 3 = 3 |
195 - 3 = 192 |
33 |
165 |
7 |
7 x 3 = 21 |
165 - 21 = 144 |
(a)
Total score if Adam answers all the questions correctly
= 40 x 5
= 200
Total score if Adam answers one question wrongly
= 195 - 3
= 192
Big difference in total score
= 200 - 144
= 56
Small difference in total score
= 5 + 3
= 8
Number of questions answered incorrectly
= 56 ÷ 8
= 7
(b)
Number of questions answered correctly
= 40 - 7
= 33
Answer(s): (a) 7; (b) 33