0.5 is bigger than 0.25. Which is the biggest of these decimal numbers?

• $0.12 \rightarrow 1$
• $0.3 \rightarrow 3$
• $0.125 \rightarrow 1$
• $0.09 \rightarrow 0$
• $0.087 \rightarrow 0$

The largest digit in the tenths place is 3, which corresponds to 0.3.

6. Class one has a total number of 123 pupils. If there are 19 more boys than girls. How many girls are there in the class?
A) 71 B) 19 C) 52 D) 80 E) 68

Let $B$ be the number of boys and $G$ be the number of girls.

Total pupils: $B + G = 123$
Boys are 19 more than girls: $B = G + 19$

$(G + 19) + G = 123$
$2G + 19 = 123$
$2G = 123 - 19$
$2G = 104$
$G = \frac{104}{2}$
$G = 52$

7. A father gave half of his money to his son. And one sixth to his daughter how much is the father left with if he had 180000frs?
A) $5000$frs B) $60000$frs C) $85000$frs D) $120000$frs E) $87500$frs

Money to son $= \frac{1}{2} \times 180000 \text{ FRS} = 90000 \text{ FRS}$.

Money to daughter $= \frac{1}{6} \times 180000 \text{ FRS} = 30000 \text{ FRS}$.

Total given away $= 90000 \text{ FRS} + 30000 \text{ FRS} = 120000 \text{ FRS}$.

Money left $= 180000 \text{ FRS} - 120000 \text{ FRS} = 60000 \text{ FRS}$.

8. $\frac{1}{2}$ of $40 = 20$, what is $\frac{3}{6}$ of 30?
A) 45 B) 54 C) 15 D) 40 E) 60

$\frac{3}{6} = \frac{1}{2}$.

$\frac{1}{2} \times 30 = 15$.

9. 38.9454 brought to 3 decimal places is 38.945. What is 25.59467 brought to 3 decimal places?
A) 25.50 B) 25.546 C) 25.495 D) 25.49 E) 25.595

The number is 25.59467. The fourth decimal place is 6.

Since the fourth decimal place (6) is 5 or greater, round up the third decimal place. The third decimal place is 4, so it rounds up to 5.

25.59467 rounded to 3 decimal places is 25.595.

10. If I add 4 to a number and square it, the answer is 121; what is the number?
A) 12 B) 20 C) 7 D) 8 E) 14

Translate the problem into an algebraic equation: $(x + 4)^2 = 121$.

$\sqrt{(x + 4)^2} = \sqrt{121}$
$x + 4 = \pm 11$

Case 1: $x + 4 = 11$
$x = 11 - 4$
$x = 7$

Case 2: $x + 4 = -11$
$x = -11 - 4$
$x = -15$

Since 7 is an option and $-15$ is not, the number is 7.