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Form 4 Mathematics imtixaanka qaranka 2022 iyo jawaabihiisa

Imtixaanka qaranka Fasalka 4aad ee 2022 ee Form 4 Mathematics, su'aal su'aal. Ku gal adigoo waqti leh sida imtixaanka dhabta ah, kadibna arag jawaabta iyo sharaxa su'aal kasta.

47 su'aalood, 100 dhibcood
120 daqiiqo

Gal imtixaankan

120 daqiiqo, 100 dhibcood. Su'aalaha doorashada waa laguu saxayaa; jawaabaha qoraalka adiga ayaa ku saxaya qodobada sixitaanka.

Akoon bilaash ah ayaa loo baahan yahay si aad u bilowdo, si jawaabahaaga iyo natiijooyinkaaga loo kaydiyo.

Tilmaamaha ardayga

Answer all questions in the ANSWER BOOKLET.

Part one: Circle the letter of the correct answer (50 marks)

1
cosAcosB - sinAsinB is
- A.sin(A + B)
- B.cos(A + B)
- C.cos(A - B)
- D.sinAcosB
2 dhibcood
2
The exact value of cos30° By using half angle formula is
- A.2/sqrt(3)
- B.sqrt(2)/2
- C.1/2
- D.sqrt(3)/2
2 dhibcood
3
The probability of failing exam is P(F) = 0.1, then the probability of passing exam is
- A.0.8
- B.0.9
- C.0.7
- D.0.6
2 dhibcood
4
The number of ways that five textbooks can be arranged on a shelf is
- A.140
- B.120
- C.130
- D.150
2 dhibcood
5
The imaginary part of the complex number z1 = 2 + 3i is
- A.Im(z) = 2
- B.Im(z) = 3i
- C.Im(z) = i
- D.Im(z) = 3
2 dhibcood
6
If z1 = 2 - 5i and z2 = 1 + 4i then the addition of z1 and z2 is
- A.4 - i
- B.3 + i
- C.3 - i
- D.4 + i
2 dhibcood
7
The marks of Maryam of six subjects in standard eight class was 24, 26, 35, 28, 50, 14. The range is
- A.16
- B.36
- C.18
- D.34
2 dhibcood
8
If the variance of a data was 49, then the standard deviation is
- A.49
- B.48
- C.7
- D.6
2 dhibcood
9
The exact value of lim (x -> 0) 18 equals
- A.0
- B.1
- C.180
- D.18
2 dhibcood
10
The exact value of this lim (x -> -infinity) (2 - 1/x) will be:
- A.1
- B.1/2
- C.2
- D.-2
2 dhibcood
11
If a given function of y = 6x^2 - 8x + 1 then dy/dx is
- A.dy/dx = 12x + 8
- B.dy/dx = 12x - 8
- C.dy/dx = 12x^2 + 8
- D.dy/dx = 12x
2 dhibcood
12
The derivative of 40
- A.40x
- B.40x + c
- C.0
- D.-40
2 dhibcood
13
The integration of integral of 2 dx is equal
- A.2x
- B.2
- C.2x + c
- D.2x^2 + c
2 dhibcood
14
The conjugate of 3 + i is
- A.-3
- B.3 - 5i
- C.-3 + i
- D.3 - i
2 dhibcood
15
The number of 2 letter permutation that can be formed from the letters in the word BURCO.
- A.20
- B.7
- C.8
- D.10
2 dhibcood
16
The value of integral from 1 to 2 of 5x^3 dx equals
- A.4/65
- B.-73/4
- C.75/4
- D.4/75
2 dhibcood
17
In how many ways can Amarn, Fardowsa and Zeynab arrange themselves in queue?
- A.4
- B.6
- C.5
- D.8
2 dhibcood
18
The value of sinx + 2 = 3 will be:
- A.180°
- B.270°
- C.90°
- D.45°
2 dhibcood
19
In the recent presidential election of Somalia, five candidates got the following votes in the first round of election: Hassan sheikh Mohamud 52, Farmajo 59, Khaire 47, Deni 65. The mean of their votes is
- A.70
- B.50
- C.55.75
- D.45
2 dhibcood
20
The coordinate of stationary point of the given function y = x^2 - 4x is
- A.(2, -2)
- B.(2, 4)
- C.(-4, 2)
- D.(2, -4)
2 dhibcood
21
Hafsa has five grades from assessments and quizzes. They are all weighted equally. If her grades are 50, 70, 88, 70, and 88, what is her current average grade?
- A.73.2
- B.61.3
- C.91.5
- D.88.4
2 dhibcood
22
If an event is impossible, then its probability will be
- A.1
- B.0
- C.0.1
- D.0.5
2 dhibcood
23
The integration of integral of sinx dx is
- A.cosx + c
- B.-cosx + c
- C.tanx + c
- D.cscx + c
2 dhibcood
24
Mohamed has the following scores of the subject 60, 70, 80, 50, 80, his mode of score is
- A.70
- B.80
- C.60
- D.59
2 dhibcood
25
The exact value of cos40°cos50° - sin40°sin50° is
- A.-1
- B.0
- C.-1
- D.infinity
2 dhibcood

Part two: Match Column A with Column B (10 marks)

M1
Match with Column B: The integral of integral of (3/x) dx is Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood
M2
Match with Column B: A box contains 3 math papers, 2 physics, and 4 chemistry papers. The probability of getting math paper is Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood
M3
Match with Column B: The modulus of 8 + 6i is Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood
M4
Match with Column B: The value of [cos(pi/4) + i sin(pi/4)]^2 is Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood
M5
Match with Column B: The exact value of lim (x -> 0) sinx/x equals Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood
M6
Match with Column B: The order of this matrix A = [3 2 1; 0 4 5] (first row 3 2 1, second row 0 4 5) is Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood
M7
Match with Column B: If a given function of y = 6x^2 - 8x + 1 then dy/dx is Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood
M8
Match with Column B: The number of ways can 5 textbooks arranged on a shelf is Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood
M9
Match with Column B: (1/2)sin(2A) Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood
M10
Match with Column B: The value of integral of dx is Column B choices: 10; i; 3ln x + c; 2 x 3; 120; 1/3; 1; sinAcosA; x + c; dy/dx = 12x - 8.
1 dhibcood

Part three: Structure Questions (40 Marks)

Q1.1
Question one: Analytic trigonometry. Use identities to identify the exact value of cos(-105°)
3 dhibcood
Q1.2
Question one: Analytic trigonometry. Express sin 3x in terms of sin x
3 dhibcood
Q1.3
Question one: Analytic trigonometry. Simplify the expression (1 - cos5x)/(sin 5x)
3 dhibcood
Q1.4
Question one: Analytic trigonometry. Find the values of tan2θ if the cosθ = 3/5 and sinθ < 0.
3 dhibcood
Q2.1
Question two: Statistics. The following are marks of mathematic students, describe the range. 29, 54, 54, 64, 74.
4 dhibcood
Q2.2
Question two: Statistics. Determine the mean, variance and standard deviation of the temperature reading below: 15°C, 16°C, 17°C, 18°C, 19°C, 20°C, 22°C, 24°C
4 dhibcood
Q3.1a
Questions three: Complex Numbers. Simplify each of the following: a) i^3
2 dhibcood
Q3.1b
Questions three: Complex Numbers. Simplify each of the following: b) i^7
2 dhibcood
Q3.2
Questions three: Complex Numbers. Add the following complex numbers z1 = 7 + 5i and z2 = -1 + 0i
3 dhibcood
Q3.3
Questions three: Complex Numbers. Write (1 + 3i)/(4 - i) in terms of a + bi
3 dhibcood
Q4.1
Question four: Probability. If you were to roll the die one time what is the probability of it landing on a 2? (A picture of an ordinary six sided die is shown.)
5 dhibcood
Q4.2
Question four: Probability. In a class, there are 12 boys and 16 girls. One of them is called out using student registration number, what is the probability that the one called is a girl?
5 dhibcood

Imtixaanka waxaa diyaarisay Federal Ministry of Education, Culture and Higher Education (MoECHE), Somalia. Waxaa lagu wadaagay bilaash si ardaydu ugu diyaargaroobaan. Jawaabaha iyo sharaxyada waxaa qoray macallimiinta Sheerxirfad.

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