Adam scores a total of 74 marks.
There are a total of 32 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
|
32 |
32 x 4 = 128 |
0 |
0 |
128 - 0 = 128 |
31 |
31 x 4 = 124 |
1 |
1 x 2 = 2 |
124 - 2 = 122 |
23 |
92 |
9 |
9 x 2 = 18 |
92 - 18 = 74 |
(a)
Total score if Adam answers all the questions correctly
= 32 x 4
= 128
Total score if Adam answers one question wrongly
= 124 - 2
= 122
Big difference in total score
= 128 - 74
= 54
Small difference in total score
= 4 + 2
= 6
Number of questions answered incorrectly
= 54 ÷ 6
= 9
(b)
Number of questions answered correctly
= 32 - 9
= 23
Answer(s): (a) 9; (b) 23