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Form 4 Mathematics imtixaanka qaranka 2018 iyo jawaabihiisa

Imtixaanka qaranka Fasalka 4aad ee 2018 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.

45 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

This paper consists of 12 printed pages. There are 2 sections: PART 1: 20 Multiple Choice Questions (40 marks), PART 2: 12 Structured Questions (60 marks). Answer all questions in the spaces provided. No extra paper is allowed.

PART 1: 20 MULTIPLE CHOICE QUESTIONS

Answer all questions. Circle the correct answer only (40marks)

1
Cos (A+B) is equal to
- A.CosACosB - SinASinB
- B.CosACosB+SinASinB
- C.SinACosB+CosASinB
- D.SinACosB- CosASinB
2 dhibcood
2
If Cos θ = 5/13, then Sin θ =
- A.5/12
- B.12/5
- C.13/12
- D.5/13
2 dhibcood
3
Sin 135° is equal to
- A.1/2
- B.sqrt(2)/2
- C.-sqrt(2)/2
- D.-sqrt(3)/2
2 dhibcood
4
Sec β is equal to
- A.1/Cos β
- B.1/Sin β
- C.1/Cosec β
- D.1/Tan β
2 dhibcood
5
(2+ i) + (3- i) is equal to
- A.6
- B.5+2 i
- C.5
- D.6 - i^2
2 dhibcood
6
3/(2+3i) is equal to
- A.3/(2+3i)
- B.6/13 + 9i/13
- C.6+9i
- D.6/13 - (9/13)i
2 dhibcood
7
(1/2 + i)(-1/2 - i) is equal to
- A.1/4 - i^2
- B.1/4 + i^2
- C.(1/4)i^2
- D.i^2 + 1/4
2 dhibcood
8
Using the diagram shown above, find the equation of the line.
- A.y = 3x + 2
- B.y = x - 2
- C.y = (1/3)x + 2
- D.y = (1/4)x + 5
2 dhibcood
9
C_2^3 is equal to
- A.3
- B.3i
- C.8
- D.10
2 dhibcood
10
The median of the following set of data is: 33, 30, 31, 32, 38, 37, 35, 39, 36.
- A.34
- B.31
- C.33
- D.35
2 dhibcood
11
Simplify sqrt(1 - cos^2 θ)/cos θ
- A.cos θ/sin θ
- B.sin θ/cos θ
- C.csc θ/sin θ
- D.sec θ/csc θ
2 dhibcood
12
The mean of four numbers is 12 and the mean of three number is 13 what is the fourth number?
- A.9
- B.18
- C.16
- D.24
2 dhibcood
13
The derivative of y = 3x^2 is
- A.6x^2
- B.5x
- C.6x
- D.3x
2 dhibcood
14
If f(x) = (2x+3)/6, then f(2) is
- A.1
- B.2/5
- C.6/7
- D.7/6
2 dhibcood
15
If y = 3x^2 + 3x - 6, then dy/dx =
- A.6x - 6
- B.6x + 3
- C.x^3 + 3x
- D.6x + 3x - 6
2 dhibcood
16
integral of (2x^2 + 4x + 5) dx is
- A.2x^3 + 4x^2 + 5x
- B.4x+4
- C.(2/3)x^3 + 2x^2 + 5x + c
- D.2x^2 + 4x + 5
2 dhibcood
17
The derivative of 1/x^2 is
- A.-2/x^3
- B.2/x^3
- C.2x^3
- D.6x^2
2 dhibcood
18
The truth of the statement is if 3+5=8 then 8+14=16
- A.F
- B.T
- C.TT
- D.TF
2 dhibcood
19
Evaluate lim (x - 1) as x -> -1
- A.1
- B.-1
- C.0
- D.-2
2 dhibcood
20
In a single throw of two dice, the probability of getting a total of 9 is :
- A.1/6
- B.1/9
- C.1/36
- D.1/12
2 dhibcood

Part 2: Answer ALL Questions (60 marks)

B1
Find the area of a triangle whose sides are: a= 5cm, b=3cm, c= 4cm.
3 dhibcood
B2
Show that: 1 + Sin2θ = (Sinθ + Cosθ)^2.
3 dhibcood
B3
Find the exact value of Sin 75°
4 dhibcood
B4
Solve for complex number solutions: 3x^2 + 2x + 5 = 0
3 dhibcood
B5
Find the quotient Z1/Z2 of the complex numbers Z1 = 24(Cos300° + iSin300°) and Z2 = 8(Cos75° + iSin75°)
4 dhibcood
B6
A student sat for Physics and Mathematics papers. Let PM denote "Passing Mathematics" and PP denote "Passing Physics", FM denote "Failing Mathematics" and FP denote "Failing Physics". Let the Mathematics test be the first activity and Physics be the second activity. Draw a tree diagram showing the possible outcomes of the two sets.
3 dhibcood
B7
Evaluate integral from 0 to 1 of (3x^2 + 5) dx
3 dhibcood
B8
Construct the table below: a truth table with columns p, q, p ∧ q, p ∨ q, p ⇒ q
5 dhibcood
B9
Find the area of this triangle (Sin 60° = 0.866). [Two sides 3 cm and 6 cm with the angle 60° between them.]
3 dhibcood
B10
If f(x) = 3x + 1 and g(x) = x^2 - 1, find f(g)(2)
3 dhibcood
B11
A wooden pole was broken by wind. Before it broke, the total height of the pole above the ground was 25 m. After it broke, the top of the pole touched the ground 15 m from the base as shown in the diagram. How tall was the part of the pole that was left standing shown by x?
3 dhibcood
B12
Evaluate integral of ((2x + 1)/x^4) dx
4 dhibcood
B13a
For the grouped data: Number of plants 10-14, frequency 8; 14-18, frequency 10; 18-22, frequency 20; 22-26, frequency 7; 26-30, frequency 5. (Table columns: Number of plants, Frequency, Mid point x, fx, with totals Σf = and Σfx =.) a) State the upper class limit of the first class interval
1 dhibcood
B13b
For the grouped data: Number of plants 10-14, frequency 8; 14-18, frequency 10; 18-22, frequency 20; 22-26, frequency 7; 26-30, frequency 5. (Table columns: Number of plants, Frequency, Mid point x, fx, with totals Σf = and Σfx =.) b) The lower class boundary of the last class interval
1 dhibcood
B13c
For the grouped data: Number of plants 10-14, frequency 8; 14-18, frequency 10; 18-22, frequency 20; 22-26, frequency 7; 26-30, frequency 5. (Table columns: Number of plants, Frequency, Mid point x, fx, with totals Σf = and Σfx =.) c) The class size
1 dhibcood
B13d
For the grouped data: Number of plants 10-14, frequency 8; 14-18, frequency 10; 18-22, frequency 20; 22-26, frequency 7; 26-30, frequency 5. (Table columns: Number of plants, Frequency, Mid point x, fx, with totals Σf = and Σfx =.) d) Complete the table to show the mid-points, fx, Σf = and Σfx =
4 dhibcood
B13e
For the grouped data: Number of plants 10-14, frequency 8; 14-18, frequency 10; 18-22, frequency 20; 22-26, frequency 7; 26-30, frequency 5. (Table columns: Number of plants, Frequency, Mid point x, fx, with totals Σf = and Σfx =.) e) Which is the modal class
1 dhibcood
B13f
For the grouped data: Number of plants 10-14, frequency 8; 14-18, frequency 10; 18-22, frequency 20; 22-26, frequency 7; 26-30, frequency 5. (Table columns: Number of plants, Frequency, Mid point x, fx, with totals Σf = and Σfx =.) f) Calculate the mean
2 dhibcood
B14
Find the limit. lim (x^2 + x - 6)/(x + 3) as x -> -3
3 dhibcood
B15i
For the data: 12, 17, 6, 9, 8, 9, 16, 15, 10. Find: i) The 1st Quartile (lower quartile) - Q1
1 dhibcood
B15ii
For the data: 12, 17, 6, 9, 8, 9, 16, 15, 10. Find: ii) The 2nd quartile (median) - Q2
1 dhibcood
B15iii
For the data: 12, 17, 6, 9, 8, 9, 16, 15, 10. Find: iii) The 3rd Quartile (Upper quartile) - Q3
1 dhibcood
B15iv
For the data: 12, 17, 6, 9, 8, 9, 16, 15, 10. Find: iv) Range
1 dhibcood
B15v
For the data: 12, 17, 6, 9, 8, 9, 16, 15, 10. Find: v) Interquartile range
1 dhibcood
B15vi
For the data: 12, 17, 6, 9, 8, 9, 16, 15, 10. Find: vi) Quartile deviation.
1 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.

Imtixaanada kale ee hore ee Form 4 Mathematics

Dhammaan cutubyada Form 4 Mathematics

Gal imtixaankan

Tilmaamaha ardayga

PART 1: 20 MULTIPLE CHOICE QUESTIONS

Part 2: Answer ALL Questions (60 marks)

Imtixaanada kale ee hore ee Form 4 Mathematics

Waxaan aqbalnaa