1.
Rezultatul calculului 25-25:5 este egal cu:
Explanation
The given calculation is 25-25 divided by 5. When we subtract 25 from 25, we get 0. And when we divide 0 by 5, the result is still 0. Therefore, the answer to the calculation is 0.
2.
20% din 25 este egal cu:
Explanation
The question asks for 20% of 25, which can be calculated by multiplying 25 by 20% (or 0.20). The result is 5, so 20% of 25 is equal to 5.
3.
Media geometrică a numerelor 12 și 27 este egală cu:
Explanation
The geometric mean of two numbers is the square root of their product. In this case, the product of 12 and 27 is 324. Taking the square root of 324 gives us 18, which is the geometric mean of the two numbers.
4.
Aria unui pătrat cu perimetrul de 12 cm este egală cu ... cm pătrați:
Explanation
The question is asking for the area of a square with a perimeter of 12 cm. To find the area, we need to divide the perimeter by 4 to find the length of each side of the square. In this case, 12 cm divided by 4 equals 3 cm. Since the length of each side is 3 cm, we can calculate the area by multiplying the length of one side by itself, which gives us 3 cm multiplied by 3 cm equals 9 cm squared. Therefore, the area of the square is 9 cm squared.
5.
Suma lungimilor muchiilor unui tetraedru regulat cu muchia de 8 cm este egală cu ... cm:
Explanation
The question asks for the sum of the lengths of the edges of a regular tetrahedron with an edge length of 8 cm. A regular tetrahedron has 4 equilateral triangles as its faces, so each edge length is the same. Since there are 6 edges in total, the sum of their lengths is 6 times the length of one edge, which is 6 * 8 cm = 48 cm.
6.
Ana are la desen următoarele note: 8, 9 și 10. Media semestrială este egală cu:
Explanation
The given question states that Ana has the following grades: 8, 9, and 10. The question asks for the average semester grade. To find the average, we add up all the grades and divide by the total number of grades. In this case, the sum of the grades is 8 + 9 + 10 = 27. Since there are three grades, we divide 27 by 3, resulting in an average of 9. Therefore, the correct answer is 9.
7.
Desenul din imagine este corect realizat:
Correct Answer
A. Nu
Explanation
The explanation for the given correct answer is not available.
8.
Calculând suma multiplilor de două cifre ai numărului 11 obținem:
Correct Answer
A. 495
Explanation
The correct answer is 495 because when we calculate the sum of the multiples of two digits of the number 11 (which are 11 and 22), we get 33. However, none of the given options have a sum of 33. Therefore, the correct answer must be a typo or an error in the question.
9.
Alex a citit o carte în trei zile. În prima zi a citit o treime din numărul paginilor cărții, a doua zi jumătate din numărul paginilor citite în prima zi, iar în a treia zi restul de 150 pagini. Cartea are un număr de pagini egal cu:
Correct Answer
C. 300
Explanation
The question states that Alex read a book in three days. On the first day, he read one-third of the total number of pages. On the second day, he read half of the number of pages he read on the first day. Finally, on the third day, he read the remaining 150 pages. By adding up the pages read on each day, we can determine the total number of pages in the book. Therefore, the correct answer is 300.
10.
Se consideră funcția f definită pe R cu valori în R, f(x) = 2x - 1. Calculând f(-2)+f(2) obținem:
Correct Answer
B. -2
Explanation
By substituting the values of -2 and 2 into the function f(x) = 2x - 1, we can calculate f(-2) = 2(-2) - 1 = -4 - 1 = -5 and f(2) = 2(2) - 1 = 4 - 1 = 3. Adding these values together, -5 + 3 = -2. Therefore, the correct answer is -2.
11.
Pentru funcția de la exercițiul anterior aria triunghiului determinat de reprezentarea grafică cu sistemul de axe ortogonale xoy este egală cu:
Correct Answer
D. 1/4
Explanation
The area of the triangle determined by the graph with the xoy coordinate system is equal to 1/4.
12.
După simplificare, expresia este egală cu:
Correct Answer
C. (2x-3)/(2x+5)
Explanation
The correct answer is (2x-3)/(2x+5). After simplifying the expression, we can see that the numerator remains the same, i.e., 2x-3, while the denominator changes to 2x+5. So, the correct answer is (2x-3)/(2x+5).
13.
O grădină sub formă de dreptunghi are lungimea de 24 m și lățimea egală cu un sfert din lungime. Perimetrul grădinii este de .... m:
Correct Answer
A. 60
Explanation
The length of the rectangular garden is given as 24 m. The width is stated to be equal to one-fourth of the length, which means the width is 24/4 = 6 m. The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter would be 2 times the length plus 2 times the width, which is (2*24) + (2*6) = 48 + 12 = 60 m. Therefore, the correct answer is 60.
14.
Aria grădinii de la problema anterioară este egală cu ... metri pătrați:
Correct Answer
B. 144
Explanation
The correct answer is 144. This suggests that the area of the garden from the previous problem is equal to 144 square meters.
15.
În grădină se cultiva roșii. De pe fiecare metru pătrat se recoltează 25 kg, care se vând la piață cu 4 lei un kilogram, atunci suma totală încasată este de ... lei:
Correct Answer
C. 14400
Explanation
In the garden, tomatoes are cultivated and 25 kg are harvested from each square meter. These tomatoes are sold at the market for 4 lei per kilogram. To find the total amount earned, we need to multiply the amount of tomatoes harvested per square meter (25 kg) by the price per kilogram (4 lei). Therefore, the total amount earned is 25 kg * 4 lei/kg = 100 lei per square meter. Since the question does not specify the size of the garden, we cannot calculate the exact total amount earned. Therefore, the answer cannot be determined from the given information.
16.
O cutie, sub formă de piramidă patrulateră regulată, este realizată în totalitate din carton. Știind că muchia bazei este de 18 cm și muchia laterală este de 15 cm, calculând aria laterală a cutiei obținem ... cm pătrați:
Correct Answer
A. 432
Explanation
The lateral surface area of a regular quadrilateral pyramid can be calculated using the formula A = (perimeter of base) * (slant height) / 2. In this case, the perimeter of the base is 4 * 18 = 72 cm and the slant height is 15 cm. Plugging these values into the formula, we get A = (72 * 15) / 2 = 1080 / 2 = 540 cm². However, since the question asks for the area in square centimeters, the answer should be rounded to the nearest whole number, which is 540. Therefore, the correct answer is 540, not 432.
17.
Pentru a confecționa 100 de cutii se utilizează ... metri pătrați de carton:
Correct Answer
D. 7,56
Explanation
To make 100 boxes, 7.56 square meters of cardboard are needed.
18.
Valoarea de adevăr a propoziției:În fiecare cutie încap 648 cm cubi de lapte praf.
Correct Answer
A. Adevărat
Explanation
The statement is true because it states that in each box, there is a capacity of 648 cubic centimeters of powdered milk.