Adam scores a total of 150 marks.
There are a total of 37 questions.
Every correct answer will earn 5 marks.
Every blank or wrong answer will have 2 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
|
37 |
37 x 5 = 185 |
0 |
0 |
185 - 0 = 185 |
36 |
36 x 5 = 180 |
1 |
1 x 2 = 2 |
180 - 2 = 178 |
32 |
160 |
5 |
5 x 2 = 10 |
160 - 10 = 150 |
(a)
Total score if Adam answers all the questions correctly
= 37 x 5
= 185
Total score if Adam answers one question wrongly
= 180 - 2
= 178
Big difference in total score
= 185 - 150
= 35
Small difference in total score
= 5 + 2
= 7
Number of questions answered incorrectly
= 35 ÷ 7
= 5
(b)
Number of questions answered correctly
= 37 - 5
= 32
Answer(s): (a) 5; (b) 32