Adam scores a total of 32 marks.
There are a total of 30 questions.
Every correct answer will earn 4 marks.
Every wrong answer will earn 0 marks.
How many questions are (a) incorrectly answered and (b) correctly answered?
Number of correct answers |
Marks earned |
Number of incorrect answers |
Total marks |
30 |
30 x 4 = 120 |
0 |
120 |
29 |
29 x 4 = 116 |
1 |
116 |
8 |
8 x 4 = 32 |
22 |
32 |
(a)
Total score if Adam answers all the questions correctly
= 30 x 4
= 120
Total score if Adam answers one question wrongly
= 29 x 4
= 116
Big difference in marks deducted
= 120 - 32
= 88
Small difference in marks deducted
= 120 - 116
= 4
Number of questions answered incorrectly
= 88 ÷ 4
= 22
(b)
Number of questions answered correctly
= 30 - 22
= 8
Answer(s): (a) 22; (b) 8