Form 4 Mathematics imtixaanka qaranka 2020 iyo jawaabihiisa
Imtixaanka qaranka Fasalka 4aad ee 2020 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.
- 50 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
Write all answers on the answer booklet. Write legibly in dark blue pen only. Answer all questions as provided in the question paper.
PART A: Multiple Choice Questions (40 marks)
Choose the correct answer and write it in the answer booklet.
- 12 dhibcood
Choose the number when increased by 12, becomes 20.
- A.7
- B.8
- C.12
- D.10
- 22 dhibcood
If a card is picked at random from a pack of playing cards, the probability of getting a king of spades is:
- A.1/13
- B.1/52
- C.1/26
- D.4/13
- 32 dhibcood
The mode of the following set of data: 4, 9, 3, 7, 5, 6, 7, 8, 7 is:
- A.8
- B.5
- C.4
- D.7
- 42 dhibcood
Cos(A+B) is equal to:
- A.cosAcosB + sinAsinB
- B.sinAcosB + cosAsinB
- C.cosAcosB - sinAsinB
- D.sinAcosB - cosAsinB
- 52 dhibcood
The sum of (3 - i) + (2 + 3i) is:
- A.5 + 2i
- B.5 - 2i
- C.6 + 3i
- D.2 + 5i
- 62 dhibcood
The radius of a circle with an equation of: x^2 + y^2 = 25 is:
- A.25
- B.10
- C.5
- D.15
- 72 dhibcood
What is the determinant of a given matrix = [8 3; 4 2]?
- A.20
- B.4
- C.10
- D.-4
- 82 dhibcood
The value of lim x->2 (5x + 4) is equal to _____
- A.14
- B.10
- C.5
- D.11
- 92 dhibcood
The simplest form of (1/25)^(-3/2) is _____
- A.8
- B.27
- C.15
- D.125
- 102 dhibcood
Calculate dy/dx when y = 3x^2 + 5x + 10
- A.6x + 5
- B.6x + 10
- C.3x + 5
- D.6x^2 + 5
- 112 dhibcood
State the simplest form of Cos2x / (Cosx - sinx).
- A.cosx + sinx
- B.cosxsinx
- C.cosx - sinx
- D.sinx
- 122 dhibcood
What is the value of i^25?
- A.i
- B.-i
- C.5
- D.i+1
- 132 dhibcood
State the number of ways in which two books can be selected from a group of 5.
- A.20
- B.-25
- C.15
- D.15
- 142 dhibcood
State the focus of the parabola where the equation in y = -16x^2.
- A.4
- B.-8
- C.16
- D.-4
- 152 dhibcood
How many sides does a polygon have if the sum of its interior angles is 720°?
- A.7 sides
- B.8 sides
- C.6 sides
- D.5 sides
- 162 dhibcood
A box contains 3 red, 4 blue and 3 green beads. The probability of selecting a blue or red bead at random will be:
- A.10/7
- B.5/4
- C.3/11
- D.7/10
- 172 dhibcood
If Sin A = 5/13 and cos B = 4/5, where A and B are in the 2nd quadrant. The value of Sin(A+B) is:
- A.7/60
- B.-16/65
- C.65/33
- D.7/12
- 182 dhibcood
The integration of ∫ dx is
- A.dx
- B.x
- C.Zero
- D.x + c
- 192 dhibcood
If the number of boys is 320 out of 500 students, what will be the percentage of girls in the school.
- A.40%
- B.36%
- C.27%
- D.39%
- 202 dhibcood
The derivative of a constant number f(x) = C, will be
- A.Cx
- B.-2c
- C.Zero
- D.C + 1
PART B: Structured Questions (60 marks)
Answer all of the following questions and write your answer in the answer booklet.
- 21ai1 dhibcood
21. Trigonometry. If sinB = 3/5 and cosB = 4/5 then find: sin2B
- 21aii1 dhibcood
21. Trigonometry. If sinB = 3/5 and cosB = 4/5 then find: cos2B
- 21b3 dhibcood
Write the difference of sin7A - sin3A as a product.
- 21c2 dhibcood
Use half angle identity to find the exact value of tan 15°
- 21d3 dhibcood
Calculate the area of a triangle, two sides of which are 8cm and 11cm and its perimeter is 32cm.
- 22ai2 dhibcood
22. Complex numbers. Perform the following operation: (8 - i) - (4 - i)
- 22aii2 dhibcood
22. Complex numbers. Perform the following operation: (3 + 2i)^2
- 22b3 dhibcood
Use the quadratic Formula to solve x^2 - 2x + 2 = 0
- 22c3 dhibcood
Write the conjugate of 3 + 2i
- 23ai1 dhibcood
23. Probability. Calculate: P(8,3)
- 23aii1 dhibcood
23. Probability. Calculate: C(7,4)
- 23b2 dhibcood
A box contains 3 blue, 7 green and 11 red balls. What is the probability that a ball selected at random will be red?
- 23c2 dhibcood
Find the probability of getting a sum of 7 and 4 of the first and the second throw of two dices.
- 23di1 dhibcood
If a dice is flipped, what is the probability of getting: An even number
- 23dii1 dhibcood
If a dice is flipped, what is the probability of getting: A number less than 5
- 23e2 dhibcood
If the probability of success is 1/4. Find the probability of failure?
- 24a2 dhibcood
24. Statistics. Find the mean of 8, 5, 14, 6, 4, 12.
- 24bi2 dhibcood
If you are given a set of data 12, 17, 6, 9, 8, 9, 16, 15, 10. Calculate the: Lower quartile (Q1)
- 24bii2 dhibcood
If you are given a set of data 12, 17, 6, 9, 8, 9, 16, 15, 10. Calculate the: Upper Quartile
- 24biii1 dhibcood
If you are given a set of data 12, 17, 6, 9, 8, 9, 16, 15, 10. Calculate the: Range
- 24c2 dhibcood
Table: Class 30-39 frequency 3; 40-49: 13; 50-59: 14; 60-69: 6; 70-79: 4. Complete the table below (cumulative frequency column).
- 24ci2 dhibcood
Table: Class 30-39 frequency 3; 40-49: 13; 50-59: 14; 60-69: 6; 70-79: 4. Work out the cumulative frequency and the median.
- 24d2 dhibcood
Calculate the variance of the following data: 7, 15, 12, 17, 20, 14, 9
- 24e2 dhibcood
Find the mean of the following data: 45, 21, 53, 49, 50, 37, 48, 30
- 25a3 dhibcood
25. Calculus. Evaluate the limit of: lim x->3 cuberoot(x^2 - 1)
- 25b2 dhibcood
Find the derivative of the function: y = (2x - 3)/(x + 4)
- 25c3 dhibcood
Calculate the equation of the tangent line to a curve y = x^2 at point P(2, 4)
- 25d3 dhibcood
Evaluate integral from 0 to 2 of (3x^2 + 2x + 1) dx
- 25e2 dhibcood
A mother is three times heavier than her daughter and together they weigh 72kg. Find the weight of each.
- 25f2 dhibcood
Find the gradient of the equation 2x + 3y - 6 = 0.
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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