Adam scores a total of 102 marks.
There are a total of 33 questions.
Every correct answer will earn 4 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
|
33 |
33 x 4 = 132 |
0 |
0 |
132 - 0 = 132 |
32 |
32 x 4 = 128 |
1 |
1 x 2 = 2 |
128 - 2 = 126 |
28 |
112 |
5 |
5 x 2 = 10 |
112 - 10 = 102 |
(a)
Total score if Adam answers all the questions correctly
= 33 x 4
= 132
Total score if Adam answers one question wrongly
= 128 - 2
= 126
Big difference in total score
= 132 - 102
= 30
Small difference in total score
= 4 + 2
= 6
Number of questions answered incorrectly
= 30 ÷ 6
= 5
(b)
Number of questions answered correctly
= 33 - 5
= 28
Answer(s): (a) 5; (b) 28