Adam scores a total of 32 marks.
There are a total of 20 questions.
Every correct answer will earn 2 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 |
20 |
20 x 2 = 40 |
0 |
40 |
19 |
19 x 2 = 38 |
1 |
38 |
16 |
16 x 2 = 32 |
4 |
32 |
(a)
Total score if Adam answers all the questions correctly
= 20 x 2
= 40
Total score if Adam answers one question wrongly
= 19 x 2
= 38
Big difference in marks deducted
= 40 - 32
= 8
Small difference in marks deducted
= 40 - 38
= 2
Number of questions answered incorrectly
= 8 ÷ 2
= 4
(b)
Number of questions answered correctly
= 20 - 4
= 16
Answer(s): (a) 4; (b) 16