Form 4 Mathematics imtixaanka qaranka 2024/2025 iyo jawaabihiisa
Imtixaanka qaranka Fasalka 4aad ee 2024/2025 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.
- 62 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. Read each question carefully before answering. Write your answers on the exam paper. Time: 2 hours.
Circle the letter of the correct answer (40 marks)
- 11 dhibcood
The imaginary part of the complex number Z = -5 + 6i is:
- A.-5
- B.-6
- C.1
- D.6
- 21 dhibcood
The sum rule for Cos(A+B) =:
- A.CosAsinB+sinAcosB
- B.CosAcosB+SinAsinB
- C.CosAcosB-SinAsinB
- D.CosAsinB+CosBsinA
- 31 dhibcood
The number of population in a village was 2400. If it decreased by 15% then the new number of the population will be:
- A.4020
- B.2760
- C.2040
- D.4200
- 41 dhibcood
If set A = {a, b, d, f} and set B = {b, c, e, f} then A ∩ B is:
- A.{b, f}
- B.{b, d, f}
- C.{d, f}
- D.{a, d, f}
- 51 dhibcood
If two dice are thrown once, the probability of getting two 6s is:
- A.2/6
- B.1/36
- C.2/36
- D.1/6
- 61 dhibcood
The value of the limit: lim (x→3) 5 =:
- A.3
- B.5
- C.8
- D.15
- 71 dhibcood
The sum of the two complex numbers of (-3 + i) and (2 + 5i) is:
- A.-1 + 6i
- B.-1 - 6i
- C.-1 + 4i
- D.5 + 6i
- 81 dhibcood
Evaluate ∫(4x^3 - 3)dx is:
- A.x^4/4 - 3x + c
- B.x^4 + 3x + c
- C.4x^4/4 + c
- D.x^4 - 3x + c
- 91 dhibcood
The first term of arithmetic progression is denoted by:
- A.D
- B.r
- C.n
- D.a
- 101 dhibcood
Quadratic equations can be solved by:
- A.factorization
- B.Elimination
- C.comparison
- D.addition
- 111 dhibcood
The derivative of a the function x = y^2 with respect to y is:
- A.2x
- B.2y
- C.0
- D.2x + 2y
- 121 dhibcood
The lines are without:
- A.Length
- B.plane
- C.width
- D.point
- 131 dhibcood
The number 3 is a factor for:
- A.20
- B.48
- C.16
- D.all
- 141 dhibcood
The mean of 5 numbers is 14, four of the numbers are 4, 8, 12 and 22. The 5th number is
- A.11.5
- B.24
- C.42
- D.9.2
- 151 dhibcood
The mode of the data: w, e, m, l, e, w, r, n, l, m, n, l is:
- A.W
- B.n
- C.l
- D.m
- 161 dhibcood
The simplification of sqrt(48) is:
- A.2sqrt(12)
- B.8sqrt(6)
- C.3sqrt(16)
- D.4sqrt(3)
- 171 dhibcood
The length of the perpendicular line OM in the circle below is (OB = 5 and MB = 3):
- A.5
- B.8
- C.3
- D.4
- 181 dhibcood
The gradient of the line segment joining the two points: A(6,-5) and B(3,1) is:
- A.-2
- B.1.3
- C.0.75
- D.2
- 191 dhibcood
The number of ways 3 committee students be selected from a class of 20 students is
- A.1140
- B.6480
- C.6840
- D.1410
- 201 dhibcood
3π/2 in degrees is:
- A.45°
- B.270°
- C.0°
- D.90°
- 211 dhibcood
The type of the triangle at the right is:
- A.Right angled triangle
- B.Isosceles triangle
- C.Obtuse triangle
- D.Equilateral triangle
- 221 dhibcood
The common ratio of the geometric progression of 3, -6, 12, ... is:
- A.3
- B.-2
- C.-9
- D.2
- 231 dhibcood
If a die is rolled once, the probability of getting a even number is:
- A.1/4
- B.1/2
- C.1/3
- D.1/6
- 241 dhibcood
The expansion of (a - b)^2 =:
- A.a^2 + 2ab + b^2
- B.a^2 - b^2
- C.a^2 - 2ab + b^2
- D.a^2 + b^2
- 251 dhibcood
The equation y = 4ax^2 is an equation of:
- A.Circle
- B.ellipse
- C.hyperbola
- D.parabola
- 261 dhibcood
The term which divides the data into ten equal parts is called:
- A.Median
- B.percentile
- C.quartile
- D.decile
- 271 dhibcood
The straight line joining any two points on the circumference of a circle is called:
- A.diameter
- B.radius
- C.chord
- D.center
- 281 dhibcood
If sinx = 3/5 and cosx = 4/5, then cos2x =:
- A.7/25
- B.24/25
- C.25/24
- D.-7/25
- 291 dhibcood
The derivative of a constant number is:
- A.Zero
- B.one
- C.variable
- D.undefined
- 301 dhibcood
Express 81% as a decimal:
- A.81
- B.8100
- C.81/100
- D.0.81
- 311 dhibcood
The exact value of cos15°
- A.(sqrt(2) - sqrt(6))/4
- B.(sqrt(6) - sqrt(2))/4
- C.(sqrt(6) + sqrt(2))/4
- D.(sqrt(6) + sqrt(2))/2
- 321 dhibcood
The intersection of the two sets A and B in the figure at the right is:
- A.{1,3}
- B.{2,4}
- C.{1,3,5}
- D.{1,2,3,4,5}
- 331 dhibcood
The base of the common logarithm is:
- A.10
- B.0
- C.π
- D.e
- 341 dhibcood
The value of: ∫ from 0 to 2 of (3x^2 + 2x)dx is:
- A.16
- B.12
- C.5
- D.4
- 351 dhibcood
The range of the marks 51, 43, 54, 73, 54 is:
- A.54
- B.11
- C.30
- D.55
- 361 dhibcood
A class of 60 students was examined. If 75% of them passed the test, the number of students failed the exam is:
- A.20
- B.45
- C.15
- D.10
- 371 dhibcood
The polar form of the complex number Z = -1 + sqrt(3)i is:
- A.2cis60°
- B.2cis120°
- C.4cis120°
- D.2cis240°
- 381 dhibcood
At the point, for which the gradient is zero is called:
- A.Minimum point
- B.maximum point
- C.stationary point
- D.intersection point
- 391 dhibcood
The simplification of 10!/(3! x 4!) =:
- A.52200
- B.22500
- C.2520
- D.25200
- 401 dhibcood
The limit of a constant function is:
- A.Zero
- B.constant
- C.one
- D.unknown
Part two: structured questions (60 marks)
- 41a3 dhibcood
Verify the following identity. a. (sinx + cosx)^2 = 1 + sin2x
- 41b1 dhibcood
Verify the following identity. b. Cosx tanx = sinx
- 42a2 dhibcood
a. Expand Sin (A+B).
- 42b2 dhibcood
b. Expand Tan (A-B)
- 434 dhibcood
State the real and imaginary parts of the complex number w = (x - 3) + (y - 9)i
- 445 dhibcood
Write [2(cos20° + isin20°)]^3 in the standard form a+bi.
- 454 dhibcood
If two coins are thrown once, list the outcomes of the sample space.
- 46a2 dhibcood
A card is selected at random from an ordinary pack of 52 cards. Find the probability that the card is: a. A king
- 46b2 dhibcood
A card is selected at random from an ordinary pack of 52 cards. Find the probability that the card is: b. A heart
- 474 dhibcood
A bag contains 8 black balls and 5 white ones. If two balls are picked from the bag one at a time, find the probability of getting a white ball and a black ball without replacement.
- 48a3 dhibcood
a. Complete the table below. Class 1-3: frequency 12; class 3-5: frequency 22; class 5-7: frequency 27; class 7-9: frequency 19. Columns: Class, Frequency, Midpoints (x), F.X, with a Total row.
- 48b2 dhibcood
b. Find the mean of the data given in the above table. Class 1-3: frequency 12; class 3-5: frequency 22; class 5-7: frequency 27; class 7-9: frequency 19. Columns: Class, Frequency, Midpoints (x), F.X, with a Total row.
- 494 dhibcood
If set A = {1, 3, 5} and set B = {2, 4, 6}. Determine A ∪ B.
- 502 dhibcood
Find the common difference of the arithmetic progression of 4, 7, 10, ...
- 512 dhibcood
What is the measure of a right angle?
- 52a2 dhibcood
Evaluate: a. lim (x→2) (x^2 - 4x + 1)
- 52b3 dhibcood
Evaluate: b. lim (x→0) ((x^2 - x)/x)
- 53a1 dhibcood
Differentiate with respect to x. a. f(x) = x^5
- 53b3 dhibcood
Differentiate with respect to x. b. f(x) = (x^2 + 1)(2 - x^2)
- 544 dhibcood
Differentiate sinx - cosx with respect to x.
- 55a2 dhibcood
Evaluate the following integrals a. ∫(x^2 + x + 3) dx
- 55b3 dhibcood
Evaluate the following integrals b. Find the area of the region bounded by the curve y = 2x^2, the lines x = 1, x = 4 and the x-axis.
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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