# Testi I Matures-matematike

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TESTI I MATURËS-MATEMATIKË( ONLINE )50 detyraKoha 60 minutaPërgatiti: Faton HyseniMaj 2016

• 1.

### Janë dhënë bashkësitë  Prerja e tyre është bashkësia :

• A.

(-5,6]

• B.

(1,2]

• C.

[1,2]

• D.

(2,6]

B. (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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• 2.

### Janë dhënë bashkësitë   dhe  . Numri i elementeve të   është :

• A.

4

• B.

5

• C.

6

• D.

7

B. 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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• 3.

### Nga barazimi  rrjedh që vlera e x-it është :

• A.

3

• B.

4

• C.

5

• D.

6

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

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• 4.

### Nëse x-2=5, atëherë x2-4 është :

• A.

15

• B.

25

• C.

35

• D.

45

D. 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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• 5.

### 20% e numrit 250 është :

• A.

5000

• B.

500

• C.

50

• D.

5

C. 50
Explanation
20% of a number can be found by multiplying the number by 0.2. In this case, 20% of 250 is 250 * 0.2 = 50. Therefore, the correct answer is 50.

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• 6.

### Vlera e shprehjes  është :

• A.

8

• B.

6

• C.

4

• D.

2

D. 2
Explanation
The given expression evaluates to 2.

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• 7.

### Numri  është i barabartë me:

• A.

2

• B.

4

• C.

8

• D.

16

C. 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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• 8.

### Vlera e shprehjes  është :

• A.

5

• B.

1

• C.

0

• D.

-1

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

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• 9.

B.
• 10.

### Nëse . Atëherë  është :

• A.

0

• B.

4

• C.

8

• D.

-16

D. -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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• 11.

### Inekuacioni  është i njëvlershëm me :

• A.

X

• B.

X>3

• C.

X

• D.

X>-3

B. 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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• 12.

• A.

-4

• B.

-3

• C.

2

• D.

3

D. 3
• 13.

C.
• 14.

### Vlera e palejueshme e x-it në shprehjen  është :

• A.

1

• B.

3

• C.

6

• D.

9

B. 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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• 15.

### Prodhimi i rrënjëve reale të ekuacionit  është i barabartë me :

• A.

-5

• B.

5

• C.

6

• D.

30

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

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• 16.

### Ekuacioni  ka dy rrënjë reale të barabarta. Vlera e m është :

• A.

1

• B.

2

• C.

3

• D.

4

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

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• 17.

### Vlera e shprehjes  është :

• A.

-1

• B.

0

• C.

1

• D.

2

B. 0
Explanation
The given expression evaluates to 0.

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• 18.

### Vlera  është :

• A.

2

• B.

4

• C.

6

• D.

8

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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• 19.

### Është dhënë . Vlera e -së është :

• A.

1

• B.

0

• C.

-1

• D.

-2

A. 1
Explanation
The given correct answer is 1.

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• 20.

A.
• 21.

### Është dhënë progresioni aritmetik me kufizën e parë 2 dhe me diferencë të progresionit 3. Kufiza e dhjetë e tij është :

• A.

10

• B.

29

• C.

30

• D.

45

B. 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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• 22.

### Tri kufizat e para të një progresioni aritmetik janë 8, 13, x-2 . Vlera e x-it është :

• A.

5

• B.

10

• C.

15

• D.

20

D. 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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• 23.

### Mesatarja aritmetike e numrave 2, 4, 7, 9, 13 është :

• A.

7

• B.

8

• C.

9

• D.

10

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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• 24.

### Moda në vargun e numrave 2,2,3,3,3,3,4,4,5,5,5 është

• A.

2

• B.

3

• C.

4

• D.

5

B. 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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• 25.

### Koeficienti këndor i drejtëzës 2x-y+5=0 është :

• A.

1

• B.

2

• C.

3

• D.

5

B. 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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• 26.

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

• A.

-3

• B.

0

• C.

2

• D.

3

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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• 27.

### Pikat A(1,0), B(2,0) dhe C(3, 0) janë pikat e një :

• A.

Parabole

• B.

Rrethi

• C.

Drejtëze

• D.

Hiperbole

B. 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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• 28.

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

• A.

1

• B.

2

• C.

3

• D.

4

C. 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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• 29.

### Syprina e rrethit me perimetër  është :

D.
Explanation
The explanation for the correct answer is not available.

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• 30.

### Perimetri i një katrori është 16cm. Diametri i rrethit të brendashkruar të tij është :

• A.

4cm

• B.

6cm

• C.

8cm

• D.

10cm

A. 4cm
Explanation
Për lehtësim vizatoni figurën.

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• 31.

### Vektorët  dhe  gëzojnë vetinë që :

• A.

Kanë gjatësi të barabartë

• B.

Janë paralel

• C.

Janë pingul

• D.

Janë të barabartë

B. 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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• 32.

• A.

4

• B.

3

• C.

2

• D.

1

C. 2
• 33.

• A.

2

• B.

4

• C.

8

• D.

64

B. 4
• 34.

### Është dhënë koni i drejtë rrethor me lartësi 6cm dhe përftuese 10cm. Rrezja e bazës së konit është :

• A.

2cm

• B.

4cm

• C.

6cm

• D.

8cm

D. 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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• 35.

• A.

81

• B.

90

• C.

100

• D.

110

A. 81
• 36.

### Numri i grupeve treshe që mund të formohen me pesë libra të ndryshëm është:

• A.

3

• B.

5

• C.

10

• D.

20

C. 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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• 37.

• A.

0

• B.

0.5

• C.

0.9

• D.

1.1

D. 1.1
• 38.

### Dy zare hedhen njëkohësisht. Sa është probabiliteti i ngjarjes që shuma e numrave të rënë të  jetë jo më shumë se 4 ?

• A.

1/2

• B.

1/3

• C.

1/6

• D.

1/9

C. 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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• 39.

### Vlera e  është :

• A.

4

• B.

3

• C.

2

• D.

1

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

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• 40.

### Vlera e  është :

• A.

1/3

• B.

1/4

• C.

1/6

• D.

1/9

C. 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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• 41.

### Derivati i funksionit  në pikën x=1 është :

• A.

1

• B.

10

• C.

12

• D.

16

C. 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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• 42.

### Vlera e x-it për tëcilën ka maksimum funksioni  është :

• A.

1

• B.

2

• C.

3

• D.

4

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

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• 43.

### Derivati i funksionit y=sin2x  në pikën x është :

• A.

2sinx

• B.

2cosx

• C.

2cos2x

• D.

2sinxcosx

D. 2sinxcosx
Explanation
The derivative of the function y = sin2x can be found using the chain rule. First, we differentiate the outer function sin2x with respect to the inner function 2x, which gives us cos(2x). Then, we multiply this by the derivative of the inner function 2x with respect to x, which is 2. Therefore, the derivative of y = sin2x is 2cos(2x). The correct answer is 2cos(2x).

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• 44.

### Rrethi x2+y2 =9 kalon nëpër pikën me koordinata :

• A.

(3,3)

• B.

(9,0)

• C.

(0,3)

• D.

(1,1)

C. (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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• 45.

### Qendra e rrethit  është pika me koordinata :

• A.

(0,0)

• B.

(5,0)

• C.

(0,5)

• D.

(5,4)

B. (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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• 46.

### Ekuacioni 9x2+4y2=36 në planin koordinativ paraqet :

• A.

Parabolë

• B.

Elipsë

• C.

Rreth

• D.

Hiperbolë

B. 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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• 47.

### është i barabartë me :

• A.

1/2

• B.

-1/2

• C.

1

• D.

2

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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• 48.

### Integrali i caktuar  është :

• A.

0

• B.

1

• C.

2

• D.

E

B. 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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• 49.

### Numri i2009 është :

• A.

1

• B.

-1

• C.

I

• D.

-i

C. 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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• 50.

• A.

1

• B.

-1

• C.

I

• D.

-i