Adam scores a total of 62 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 |
21 |
84 |
11 |
11 x 2 = 22 |
84 - 22 = 62 |
(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 - 62
= 66
Small difference in total score
= 4 + 2
= 6
Number of questions answered incorrectly
= 66 ÷ 6
= 11
(b)
Number of questions answered correctly
= 32 - 11
= 21
Answer(s): (a) 11; (b) 21