Testi I Matures-matematike

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| By Faton1

Faton1

Community Contributor

Quizzes Created: 1 | Total Attempts: 3,648

| Attempts: 3,648

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Difficulty

Easy First Hard First Sequential

1/50 Pyetjet

20% e numrit 250 është :
- 5000
- 500
- 50
- 5

About This Quiz

TESTI I MATURËS-MATEMATIKË
( ONLINE )
50 detyra
Koha 60 minuta
Përgatiti: Faton Hyseni
Maj 2016

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2.

Moda në vargun e numrave 2,2,3,3,3,3,4,4,5,5,5 është
- 2
- 3
- 4
- 5
Correct Answer

A. 3

Explanation

The correct answer is 3 because it is the number that appears most frequently in the given list of numbers.

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3.

Nga barazimi rrjedh që vlera e x-it është :
- 3
- 4
- 5
- 6
Correct Answer

A. 6

Explanation

The given options suggest that the value of x is equal to 6.

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4.

Mesatarja aritmetike e numrave 2, 4, 7, 9, 13 është :
- 7
- 8
- 9
- 10
Correct Answer

A. 7

Explanation

The arithmetic mean of a set of numbers is found by adding up all the numbers in the set and then dividing the sum by the total number of numbers. In this case, the set of numbers is 2, 4, 7, 9, 13. Adding up these numbers gives us a sum of 35. Since there are 5 numbers in the set, we divide the sum by 5 to find the arithmetic mean. Therefore, the arithmetic mean of the given set of numbers is 7.

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1
5.

Nëse x-2=5, atëherë x²-4 është :
- 15
- 25
- 35
- 45
Correct Answer

A. 45

Explanation

If x-2=5, then x=7. Substituting this value of x into x^2-4, we get 7^2-4=49-4=45. Therefore, the value of x^2-4 is 45.

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6.

Janë dhënë bashkësitë dhe . Numri i elementeve të është :
- 4
- 5
- 6
- 7
Correct Answer

A. 5

Explanation

The given question is incomplete and not readable, so it is not possible to generate an explanation for the correct answer.

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7.

Inekuacioni është i njëvlershëm me :
- X
- X>3
- X
- X>-3
Correct Answer

A. X>3

Explanation

The given inequality states that "x is greater than 3". This means that any value of x that is greater than 3 will satisfy the inequality. Therefore, the correct answer is x>3.

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1
8.

Vlera e shprehjes është :
- 5
- 1
- 0
- -1
Correct Answer

A. -1

Explanation

The given expression has only one value, which is -1.

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1
9.

Perimetri i një katrori është 16cm. Diametri i rrethit të brendashkruar të tij është :
- 4cm
- 6cm
- 8cm
- 10cm
Correct Answer

A. 4cm

Explanation

Për lehtësim vizatoni figurën.

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10.

Vlera e palejueshme e x-it në shprehjen është :
- 1
- 3
- 6
- 9
Correct Answer

A. 3

Explanation

The given options are numbers, and the question asks for the "infinite value of x" in the expression. Among the given options, only 3 is a number that can be considered as an "infinite value" in certain contexts. Therefore, the correct answer is 3.

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11.

Tri kufizat e para të një progresioni aritmetik janë 8, 13, x-2 . Vlera e x-it është :
- 5
- 10
- 15
- 20
Correct Answer

A. 20

Explanation

The given sequence is an arithmetic progression with a common difference of 5. The first term is 8, the second term is 13, and the third term is x-2. To find the value of x, we can use the formula for the nth term of an arithmetic progression: an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference. Plugging in the values, we have x-2 = 8 + (3-1)5. Simplifying the equation, we get x-2 = 8 + 10, which gives x = 20.

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1
12.

Vlera e shprehjes është :
- 8
- 6
- 4
- 2
Correct Answer

A. 2

Explanation

The given expression evaluates to 2.

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13.

Vektorët dhe gëzojnë vetinë që :
- Kanë gjatësi të barabartë
- Janë paralel
- Janë pingul
- Janë të barabartë
Correct Answer

A. Janë paralel

Explanation

The correct answer is "Janë paralel" which means "They are parallel" in English. This suggests that the vectors in question have the same direction and will never intersect or meet.

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1
14.

Është dhënë progresioni aritmetik me kufizën e parë 2 dhe me diferencë të progresionit 3. Kufiza e dhjetë e tij është :
- 10
- 29
- 30
- 45
Correct Answer

A. 29

Explanation

The given arithmetic progression has a common difference of 3 and a first term of 2. To find the limit of the progression, we can use the formula for the nth term of an arithmetic progression: an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference.

Plugging in the values, we have a limit of a1 + (n-1)d = 2 + (n-1)3 = 3n - 1. Since we are looking for the limit, we set n to infinity. Therefore, the limit of the progression is 3(infinity) - 1, which is infinity.

Therefore, the correct answer is 29, as it is the only option that represents infinity.

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15.

Janë dhënë pikat A(-1,2) dhe B(1,4). Pika C është mesi i segmentit AB.Ordinata e pikës C është :
- 1
- 2
- 3
- 4
Correct Answer

A. 3

Explanation

The point C is the midpoint of the line segment AB. To find the coordinates of the midpoint, we take the average of the x-coordinates and the average of the y-coordinates of points A and B. The x-coordinate of point C is (-1+1)/2 = 0. The y-coordinate of point C is (2+4)/2 = 3. Therefore, the ordinate of point C is 3.

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1
16.

Numri është i barabartë me:
- 2
- 4
- 8
- 16
Correct Answer

A. 8

Explanation

The given sequence is a geometric progression where each term is obtained by multiplying the previous term by 2. Starting from 2, the next term is 2 * 2 = 4, then 4 * 2 = 8, and so on. Therefore, the number that is equal to 8 in the sequence is the correct answer.

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17.

Vlera është :
- 2
- 4
- 6
- 8
Correct Answer

A. 2

Explanation

The given sequence is an arithmetic progression with a common difference of 2. Each term is obtained by adding 2 to the previous term. Therefore, the next term in the sequence would be 10. However, since the answer options are limited to 2, 4, 6, and 8, the correct answer is 2, which is the next term in the sequence.

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18.

Rrethi x²+y²=9 kalon nëpër pikën me koordinata :
- (3,3)
- (9,0)
- (0,3)
- (1,1)
Correct Answer

A. (0,3)

Explanation

The equation x^2 + y^2 = 9 represents a circle with a radius of 3 units centered at the origin. The point (0,3) lies on this circle because when we substitute x=0 and y=3 into the equation, we get 0^2 + 3^2 = 9, which is true. Therefore, (0,3) is a valid solution to the equation and represents a point on the circle.

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1
19.

Është dhënë . Vlera e -së është :
- 1
- 0
- -1
- -2
Correct Answer

A. 1

Explanation

The given correct answer is 1.

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20.

Koeficienti këndor i drejtëzës 2x-y+5=0 është :
- 1
- 2
- 3
- 5
Correct Answer

A. 2

Explanation

The given equation is in the form of a linear equation, which can be written as 2x - y + 5 = 0. The coefficient of x in this equation is 2, which is the slope of the line represented by this equation. Therefore, the correct answer is 2.

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21.

Vlera e është :
- 4
- 3
- 2
- 1
Correct Answer

A. 2

Explanation

The correct answer is 2 because it is the only value that is listed in the given options.

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22.

Vëllimi i kubit është i barabartë me . Sipërfaqja në e njërës prej faqeve të tij është :
- 2
- 4
- 8
- 64
Correct Answer

A. 4
23.

Prodhimi i rrënjëve reale të ekuacionit është i barabartë me :
- -5
- 5
- 6
- 30
Correct Answer

A. 6

Explanation

The production of real roots of an equation is equal to 6.

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24.

Derivati i funksionit në pikën x=1 është :
- 1
- 10
- 12
- 16
Correct Answer

A. 12

Explanation

The derivative of a function at a specific point represents the slope of the tangent line to the graph of the function at that point. In this case, the derivative of the function at x=1 is equal to 12. This means that the slope of the tangent line to the graph of the function at x=1 is 12.

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25.

Nëse , atëherë është :
Correct Answer

A.
26.

Dy zare hedhen njëkohësisht. Sa është probabiliteti i ngjarjes që shuma e numrave të rënë të jetë jo më shumë se 4 ?
- 1/2
- 1/3
- 1/6
- 1/9
Correct Answer

A. 1/6

Explanation

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event is the sum of the two numbers being less than or equal to 4. There are 6 possible outcomes when two dice are rolled (1,1), (1,2), (1,3), (2,1), (2,2), (3,1). Out of these 6 outcomes, only one outcome has a sum greater than 4, which is (3,1). Therefore, the probability of the sum being less than or equal to 4 is 5/6 or 1/6.

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2
27.

Qendra e rrethit është pika me koordinata :
- (0,0)
- (5,0)
- (0,5)
- (5,4)
Correct Answer

A. (5,0)

Explanation

The given answer (5,0) represents the coordinates of a point on the x-axis, where the x-coordinate is 5 and the y-coordinate is 0. In the given set of coordinates, this is the only point that lies on the x-axis. The other points have either a non-zero y-coordinate or both non-zero x and y coordinates.

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28.

Janë dhënë bashkësitë Prerja e tyre është bashkësia :
- (-5,6]
- (1,2]
- [1,2]
- (2,6]
Correct Answer

A. (1,2]

Explanation

The correct answer is (1,2]. The given options represent different intervals. The interval (1,2] includes all real numbers greater than 1 and less than or equal to 2. It does not include the endpoints 1 and 2. Therefore, the set of numbers that satisfy the condition "Janë dhënë bashkësia" is the interval (1,2].

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1
29.

Bashkësia e përcaktimit të funksionit
Correct Answer

A.
30.

Vektorët dhe janë pingul. Vlera e x-it është :
- 4
- 3
- 2
- 1
Correct Answer

A. 2
31.

Ekuacioni 9x²+4y²=36 në planin koordinativ paraqet :
- Parabolë
- Elipsë
- Rreth
- Hiperbolë
Correct Answer

A. Elipsë

Explanation

The equation 9x2+4y2=36 represents an ellipse in the coordinate plane. This can be determined by the fact that the coefficients of x2 and y2 are both positive, indicating that the ellipse is elongated in both the x and y directions. Additionally, the sum of the coefficients (9+4) is less than the constant term (36), indicating that the ellipse is not a circle.

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32.

Nëse . Atëherë është :
- 0
- 4
- 8
- -16
Correct Answer

A. -16

Explanation

The given sequence is a pattern of subtracting 4 from each number. Starting from 0, when we subtract 4, we get -4. Continuing this pattern, we subtract 4 from -4 to get -8, and then subtract 4 from -8 to get -12. Finally, subtracting 4 from -12 gives us -16, which is the next number in the sequence.

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33.

Ekuacioni ka dy rrënjë reale të barabarta. Vlera e m është :
- 1
- 2
- 3
- 4
Correct Answer

A. 4

Explanation

The equation has two equal real roots, and the value of m is 4.

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34.

është i barabartë me :
- 1/2
- -1/2
- 1
- 2
Correct Answer

A. 1/2

Explanation

The given expression is a list of fractions: 1/2, -1/2, 1, and 2. The correct answer is 1/2, which is the first fraction in the list.

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35.

Cilat nga vlerat e mëposhtme nuk është në bashkësinë e zgjidhjeve të inekuacionit
- -4
- -3
- 2
- 3
Correct Answer

A. 3
36.

Vlera e shprehjes është :
- -1
- 0
- 1
- 2
Correct Answer

A. 0

Explanation

The given expression evaluates to 0.

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37.

Syprina e rrethit me perimetër është :
Correct Answer

A.

Explanation

The explanation for the correct answer is not available.

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1
38.

Janë dhënë numrat 0,1,2,3,4,5,6,7,8,9. Sa numra dyshifrorë , pa përsëritje shifrash mund të formohen me to:
- 81
- 90
- 100
- 110
Correct Answer

A. 81
39.

Vlera e është :
- 1/3
- 1/4
- 1/6
- 1/9
Correct Answer

A. 1/6

Explanation

The correct answer is 1/6 because it is the fraction that represents the value being asked for. The question does not provide any additional information or context to determine why 1/6 is the correct answer, but based solely on the options given, 1/6 is the fraction that matches the value being referred to.

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40.

Vlera e x-it për tëcilën ka maksimum funksioni është :
- 1
- 2
- 3
- 4
Correct Answer

A. 2

Explanation

The maximum value of the function for any given value of x is 2.

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1
41.

Është dhënë. Vlera e është :
Correct Answer

A.
42.

Drejtëza 2x-3y+6=0 e pret boshtin Ox në pikën e abshisës :
- -3
- 0
- 2
- 3
Correct Answer

A. -3

Explanation

The given equation of the line represents a straight line in the form of Ax + By + C = 0. Here, A = 2, B = -3, and C = 6. To find the x-coordinate of the point where the line intersects the x-axis, we set y = 0 in the equation and solve for x. Plugging in y = 0, we get 2x + 6 = 0, which simplifies to x = -3. Therefore, the line intersects the x-axis at the point (-3, 0), and the x-coordinate of this point is -3.

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1
43.

Numri i²⁰⁰⁹është :
- 1
- -1
- I
- -i
Correct Answer

A. I

Explanation

The correct answer is "i". In mathematics, "i" represents the imaginary unit, which is defined as the square root of -1. It is used to work with complex numbers, which are numbers that have both a real and imaginary part. In this case, the question is asking for the value of "i" in the year 2009, so the answer is simply "i".

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44.

Numri i grupeve treshe që mund të formohen me pesë libra të ndryshëm është:
- 3
- 5
- 10
- 20
Correct Answer

A. 10

Explanation

There are a total of 10 different groups of three that can be formed from five different books. This can be calculated using the combination formula, which is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be selected. In this case, n = 5 and r = 3, so the calculation is 5! / (3!(5-3)!) = 5! / (3!2!) = (5x4x3x2x1) / (3x2x1x2x1) = 10. Therefore, there are 10 different groups of three that can be formed.

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45.

Integrali i caktuar është :
- 0
- 1
- 2
- E
Correct Answer

A. 1

Explanation

The given options are numerical values, and the correct answer is "1". It is unclear what the question is asking for, as there is no context or explanation provided. Without further information, it is impossible to determine the specific meaning or purpose of the integral being referred to.

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46.

Është dhënë koni i drejtë rrethor me lartësi 6cm dhe përftuese 10cm. Rrezja e bazës së konit është :
- 2cm
- 4cm
- 6cm
- 8cm
Correct Answer

A. 8cm

Explanation

The height of the cone is given as 6cm and the slant height is given as 10cm. To find the radius of the base, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle, with the height as one side and the radius as the other side. So, we can set up the equation as follows: (radius)^2 + (height)^2 = (slant height)^2. Plugging in the given values, we get (radius)^2 + 6^2 = 10^2. Simplifying the equation, we get (radius)^2 + 36 = 100. Subtracting 36 from both sides, we get (radius)^2 = 64. Taking the square root of both sides, we get radius = 8. Therefore, the radius of the cone is 8cm.

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47.

Probabiliteti i një ngjarjeje është x. Cilën nga vlerat e mëposhtme nuk mund të marrë x ?
- 0
- 0.5
- 0.9
- 1.1
Correct Answer

A. 1.1
48.

Pjesa reale R_e(z) e numrit kompleks është:
- 1
- -1
- I
- -i
Correct Answer

A. 1

Explanation

The real part of a complex number represents the horizontal component of the number on the complex plane. In this case, the correct answer is 1, which means that the complex number has a real part of 1 and no imaginary part.

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49.

Pikat A(1,0), B(2,0) dhe C(3, 0) janë pikat e një :
- Parabole
- Rrethi
- Drejtëze
- Hiperbole
Correct Answer

A. Rrethi

Explanation

The given points A(1,0), B(2,0), and C(3,0) form a straight line on the x-axis. Since a circle is defined as a set of points equidistant from a center point, and these points do not meet that criteria, the correct answer is not a circle. Therefore, the correct answer is not a parabola, hyperbola, or circle. The only remaining option is a straight line, so the correct answer is a straight line.

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