What does Subject I of the National Evaluation in math contain?

Six multiple-choice algebra items worth 5 points each: order of operations, ratios and percentages, sets and intervals, comparing real numbers, one item where you pick the student who calculated correctly, and one true-or-false item. Only the letter of the correct answer is required.

How do I work efficiently on multiple-choice items?

Solve it on scrap paper first, without looking at the choices, then find your result among them. If it is not there, check the order of operations and the signs. The wrong choices come from common mistakes, so a choice that looks familiar is not necessarily the right one.

National Evaluation: 30 Subject I items

Circle the letter of the correct answer. Each item has exactly one correct answer.

Computations with numbers

The result of the calculation $45 - 27:9 \cdot 2$ is:
- a) $4$
- b) $12$
- c) $39$
- d) $42$
The result of the calculation $\frac{3}{4} + \frac{5}{6}$ is:
- a) $\frac{19}{12}$
- b) $\frac{8}{10}$
- c) $\frac{4}{5}$
- d) $\frac{15}{24}$
The result of the calculation $3^{4}:3^{2} + 5^{0}$ is:
- a) $9$
- b) $10$
- c) $15$
- d) $4$
The result of the calculation $\sqrt{2} \cdot \sqrt{18} - \sqrt{3} \cdot \sqrt{12}$ is:
- a) $6$
- b) $12$
- c) $\sqrt{6}$
- d) $0$
The result of the calculation $2,4:0,6 + 1,5 \cdot 4$ is:
- a) $7$
- b) $22$
- c) $10$
- d) $4,6$

Ratios, proportions, percentages

Three kilograms of apples cost $13,50$ lei. Five kilograms of the same apples cost:
- a) $18$ lei
- b) $22,50$ lei
- c) $27$ lei
- d) $15$ lei
A subscription costs $50$ lei. After a price increase of $30\%$, the subscription costs:
- a) $80$ lei
- b) $15$ lei
- c) $65$ lei
- d) $53$ lei
The number $x$ that satisfies the proportion $\frac{x}{12} = \frac{5}{4}$ is:
- a) $15$
- b) $9,6$
- c) $20$
- d) $48$
On a map with the scale $1:50000$, the distance between two villages is $6$ cm. The real distance between the villages is:
- a) $3$ km
- b) $30$ km
- c) $0,3$ km
- d) $300$ km
A car covers a distance in $3$ hours at a speed of $80$ km/h. At a speed of $60$ km/h, the car covers the same distance in:
- a) $2,25$ hours
- b) $3,5$ hours
- c) $5$ hours
- d) $4$ hours

Sets and intervals

The number $\sqrt{10}$ belongs to the interval:
- a) $(2;\ 3)$
- b) $(3;\ 3,1)$
- c) $(3,1;\ 3,2)$
- d) $\lbrack 3,2;\ 4)$
If $A = \{ 2;\ 5;\ 8;\ 11\}$ and $B = \{ 5;\ 6;\ 7;\ 8\}$, then the set $A \smallsetminus B$ is:
- a) $\{ 2;\ 11\}$
- b) $\{ 5;\ 8\}$
- c) $\{ 6;\ 7\}$
- d) $\{ 2;\ 5;\ 6;\ 7;\ 8;\ 11\}$
The number of natural multiples of $6$ less than $40$ is:
- a) $6$
- b) $7$
- c) $5$
- d) $8$
The set $A = \{ x \in {\mathbb{Z}}\ |\ |x| < 3\}$ is equal to:
- a) $\{ 0;\ 1;\ 2\}$
- b) $\{ - 2;\ 2\}$
- c) $\{ - 2;\ - 1;\ 0;\ 1;\ 2\}$
- d) $\{ - 3;\ - 2;\ - 1;\ 0;\ 1;\ 2;\ 3\}$
The set of natural solutions of the inequality $2x - 3 < 5$ is:
- a) $\{ 1;\ 2;\ 3\}$
- b) $\{ 0;\ 1;\ 2;\ 3;\ 4\}$
- c) $\{ 1;\ 2;\ 3;\ 4\}$
- d) $\{ 0;\ 1;\ 2;\ 3\}$

Real numbers: comparing and ordering

Consider the numbers $a = 0\text{,}(3)$, $b = \frac{1}{3}$ and $c = 0,33$. The true relation is:
- a) $a < b < c$
- b) $c < a = b$
- c) $a = b < c$
- d) $c < b < a$
The increasing order of the numbers $a = 3\sqrt{2}$, $b = 2\sqrt{5}$ and $c = 4$ is:
- a) $a < b < c$
- b) $c < b < a$
- c) $c < a < b$
- d) $b < a < c$
The number of natural numbers in the interval $\lbrack\sqrt{5};\ \sqrt{40}\rbrack$ is:
- a) $3$
- b) $5$
- c) $6$
- d) $4$
The smallest of the numbers $- 5$; $| - 3|$; $- | - 6|$; $0$ is:
- a) $- | - 6|$
- b) $- 5$
- c) $0$
- d) $| - 3|$
The absolute value of the number $1 - \sqrt{3}$ is:
- a) $1 - \sqrt{3}$
- b) $1 + \sqrt{3}$
- c) $- 1 - \sqrt{3}$
- d) $\sqrt{3} - 1$