Form 4 Mathematics imtixaanka qaranka 2021 iyo jawaabihiisa

Part one: Circle the correct letter for the following choices (2 marks each question, 40 marks Total)

1. 1

   The exact value of sin 15° is:

   • A.(sqrt(6) - sqrt(2))/4
   • B.(sqrt(6) + sqrt(2))/4
   • C.(-sqrt(6) - sqrt(2))/4
   • D.(sqrt(6) - sqrt(2))/4

   2 dhibcood
2. 2

   If cos 2θ = 4/5 the value of sin θ in quadrant II equals

   • A.sqrt(10)/5
   • B.sqrt(10)/10
   • C.5/10
   • D.9/5

   2 dhibcood
3. 3

   The imaginary and real parts of the complex number 3 + 9i are respectively:

   • A.3, 9
   • B.9, 3
   • C.3, 9i
   • D.3, -9i

   2 dhibcood
4. 4

   (3 + 2i)(4 - 2i) =

   • A.2 + 16i
   • B.-16 - 2i
   • C.6 - 2i
   • D.16 + 2i

   2 dhibcood
5. 5

   In the national form IV mathematics examination, candidates are asked to solve six out of ten probability questions. How many possible combinations of six questions could you choose?

   • A.115200
   • B.151200
   • C.210
   • D.151210

   2 dhibcood
6. 6

   Grade 12 mathematics contains seven chapters with their lessons 6, 7, 8, 4, 5, 7 and 3; hence the average of the lessons is

   • A.5.71
   • B.280
   • C.7
   • D.40

   2 dhibcood
7. 7

   If the marks of 4 students are 25, 54, 54, 67, the range is:

   • A.45
   • B.48
   • C.30
   • D.42

   2 dhibcood
8. 8

   If a coin is tossed, then the sample space is

   • A.Two heads
   • B.two tails
   • C.head and tail
   • D.one tail

   2 dhibcood
9. 9

   The limit of f(x) = x^2 + 4x - 1 at x = 1 is:

   • A.-4
   • B.4
   • C.2
   • D.-2

   2 dhibcood
10. 10

    lim (x -> 2) 7 is:

    • A.-6
    • B.-7
    • C.7
    • D.4

    2 dhibcood
11. 11

    The derivative of f(x) = 20, is :

    • A.20
    • B.20x
    • C.0
    • D.40x

    2 dhibcood
12. 12

    The differentiation of g(x) = (x + 1)/(x - 4) is:

    • A.x/(x-4)^2
    • B.-5/(x-4)^2
    • C.-4/(x-4)^2
    • D.-1/(x-4)^2

    2 dhibcood
13. 13

    To derive y = 2sinx - 3secx equals:

    • A.4cosx - 6cscx
    • B.cosx - secxtanx
    • C.2 - 3cscx
    • D.2cosx - 3secxtanx

    2 dhibcood
14. 14

    The equation of the tangent line to the graph of f(x) = x^2 - 4x + 6 at x = 1 is

    • A.y = -2x + 5
    • B.y = -5x - 2
    • C.y = -x + 5
    • D.y = -4x + 5

    2 dhibcood
15. 15

    The integrand of ∫ dx is:

    • A.3x + c
    • B.x + c
    • C.3x^2/2
    • D.3 + c

    2 dhibcood
16. 16

    The ∫ (1/x) dx is:

    • A.lnx
    • B.lnx + c
    • C.ln(1/x)
    • D.lnx^-1

    2 dhibcood
17. 17

    The second derivative of f(x) = (3x + 2)^10:

    • A.30(3x + 2)^9
    • B.810(3x + 2)^8
    • C.270(3x + 2)^8
    • D.10(3x + 2)^8

    2 dhibcood
18. 18

    Probability of getting a 5 from throwing a dice is:

    • A.1/4
    • B.2/6
    • C.1/6
    • D.3/4

    2 dhibcood
19. 19

    The set of all possible outcomes of an experiment is called:

    • A.Sample space
    • B.event
    • C.subsets
    • D.element

    2 dhibcood
20. 20

    In how many ways can we arrange the three books (mathematics, physics, and chemistry) on a shelf?

    • A.12 ways
    • B.14 ways
    • C.6 ways
    • D.3 ways

    2 dhibcood

Part two: Structured Questions (60 Marks)

1. 2.1

   Find cos(A + B) having sin A = 4/5 and sin B = 12/13 in the quadrant I

   5 dhibcood
2. 2.2

   Using identities to find exact value of cos 40° cos 50° - sin 40° sin 50°

   6 dhibcood
3. 2.3

   Verify that tan x sin 2x = 2 sin^2 x.

   3 dhibcood
4. 2.4

   Solve the equation x^2 - 4x + 24 = 0.

   3 dhibcood
5. 2.5

   Find the modulus and argument of 1 - sqrt(3) i

   4 dhibcood
6. 2.6

   Find the Conjugate of -10 - 10i

   5 dhibcood
7. 2.7

   Simplify i^17

   4 dhibcood
8. 2.8

   work out : (1 + 3i) + (6 - 5i)

   4 dhibcood
9. 2.9

   A group of 4 adults and 3 children are to be formed from 8 adults and 5 children. How many possible groups are there.

   5 dhibcood
10. 2.10

    A bag contains 8 black balls and 4 white balls. If two balls are drawn from the bag, one at a time, find the probability of drawing a black ball followed by a white ball without replacement

    5 dhibcood
11. 2.11

    Given the following set of values relating to grade 12 mathematics chapters, and lessons 6, 7, 8, 4, 5, 7 and 3. Find the mean, variance and standard deviation

    6 dhibcood
12. 2.12

    Find the derivative of g(x) = (3x - 1)(2x + 4).

    5 dhibcood
13. 2.13

    Find the area under the curve y = x^2 + 2 between x = 1 and x = 3.

    5 dhibcood

Imtixaanada kale ee hore ee Form 4 Mathematics

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