Adam scores a total of 32 marks.
There are a total of 40 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 |
40 |
40 x 4 = 160 |
0 |
160 |
39 |
39 x 4 = 156 |
1 |
156 |
8 |
8 x 4 = 32 |
32 |
32 |
(a)
Total score if Adam answers all the questions correctly
= 40 x 4
= 160
Total score if Adam answers one question wrongly
= 39 x 4
= 156
Big difference in marks deducted
= 160 - 32
= 128
Small difference in marks deducted
= 160 - 156
= 4
Number of questions answered incorrectly
= 128 ÷ 4
= 32
(b)
Number of questions answered correctly
= 40 - 32
= 8
Answer(s): (a) 32; (b) 8