Adam scores a total of 81 marks.
There are a total of 26 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
|
26 |
26 x 5 = 130 |
0 |
0 |
130 - 0 = 130 |
25 |
25 x 5 = 125 |
1 |
1 x 2 = 2 |
125 - 2 = 123 |
19 |
95 |
7 |
7 x 2 = 14 |
95 - 14 = 81 |
(a)
Total score if Adam answers all the questions correctly
= 26 x 5
= 130
Total score if Adam answers one question wrongly
= 125 - 2
= 123
Big difference in total score
= 130 - 81
= 49
Small difference in total score
= 5 + 2
= 7
Number of questions answered incorrectly
= 49 ÷ 7
= 7
(b)
Number of questions answered correctly
= 26 - 7
= 19
Answer(s): (a) 7; (b) 19