Question

Niki is playing a game. Each correct answer gets 1 mark, and for each wrong answer $\frac{1}{2}$ a mark gets reduced. If Niki got 1 answer right, and 9 answers wrong, what would be her total marks?

• A. $-3\frac{1}{2}$
• B. $-6\frac{1}{2}$
• C. $-7\frac{1}{2}$
• D. $-2\frac{1}{2}$

Answer 1

The correct option is A

$-3\frac{1}{2}$

For 1 correct answer, she would get 1 mark. and for 9 wrong answers, she would get $-\frac{1}{2}\times 9$, that is $-4\frac{1}{2}$.

Total marks scored

$=1-4\frac{1}{2}$

$=1-(4+\frac{1}{2})$

$=1-(1+3+\frac{1}{2})$

$=1-1-(3+\frac{1}{2})$

$=0-3\frac{1}{2}$

$=-3\frac{1}{2}$