SMK (P) Treacher Methodist, Taiping

Set 1,  Use on March of the year

 

Mathematics   Paper 1                        Form 5                                     1 hour 15 minutes

 

Instruction : This paper consists of  40 questions. Answer all questions. Mark your

answers with 2B pencil on the anwser sheet provided.

You may use a non-programmable scientific calculator.

 

 

1.




 

Express 72 ´ 18 ´ 102 in standard form.
A
  1.3 ´ 106
B  1.3 ´ 105
C  1.3 ´ 104
D  0.14 ´ 105
 

 

2.




 

 ______ quadrilaterals have four equal sides.

To make the above statement true, the blank can be filled by

A  All
B  Some
C  Any
D  No
 

 

3.




 

Round off 0.69119 correct to one significant figure.
A
  0.7
B  0.0007
C  700
D  70
 

 

4.


In the diagram above, AB and CD are two vertical poles on the horizontal ground. The angle of depression of C from A is 19.65°. The height of A is 13 m and that of C is 8 m. Calculate the horizontal distance of BD.
A  16 m
B  14 m
C  13 m
D  12 m
 

 

5.





 

Express 9(x2 + 5) =

x2

 in the form of ax2 + bx + c = 0.

8

A  71x2 - 360 = 0
B  71x2 + 360 = 0
C  71x2 + 360x - 1 = 0
D  71x2 - 360x + 1 = 0
 

 

6.




 


In the diagram, ABC is a tangent to the circle. Given that BE = DE and ÐABD = 146°, find ÐBFE.
A
  109°
B  75°
C  107°
D  105°
 

 

7.




 

Identify the type of function for the following graph.

A  Linear function
B  Quadratic function
C  Cubic function
D  Reciprocal function
 

 

8.


The diagram shows a pyramid with a horizontal base JKL. Vertex N is vertically above point M. The angle between the line NK and the base JKL is
A  ÐNMK
B  ÐMKN
C  ÐMNL
D  ÐNKL
 

 

9.




 

(5k - 4m)(2k + 5m) =
A
  10k2 + 17km - 20m2
B  10k2 - 17km + 20m2
C  10k2 - 17km - 20m2
D  17k2 + 10km - 20m2
 

 

10.


The diagram shows a cuboid with a horizontal base JKLM. The angle between the plane PQK and the plane PQJM is
A  ÐJQK
B  ÐKJQ
C  ÐPQK
D  ÐKPM
 

 

11.

 

 

Which of the following graphs represents y = 18 – 5x3?

A

B

C

D

 

 

 

 

12.




 

Given that the universal set x = { letters of English alphabet },
A = { letters in the word 'newspaper' },
B = { vowels } and
C = { a, e, m, n },
find n(A È B È C)'.
A
  16
B  15
C  14
D  13
 

 

13.

Given that sin y = 0.1392 and 0° £ y £ 360°, the possible values of y are
A  8° and 98°
B  98° and 278°
C  8° and 172°
D  8° and 188°
 

 

14.




 

Given that the universal set x = { x : x is an odd number and x < 30 },
set P = { x : x is a prime number },
set Q = { x : x is divisible by 3 } and
set R = { 15, 19, 21, 23, 27 },
find n(P Ç R).
A
  3
B  2
C  1
D  0
 

 

15.




 

Find the value of 2115 - 415 and write your answer in base ten.
A  34
B  36
C  35
D  33
 

 

16.




 

The following graph shows that y = 3x + 5. Please describe the shaded region.

A  y = 3x + 5
B  y > 3x + 5
C  y < 3x + 5
D  y 3x + 5
 

 

17.




 


Given that the equation of a straight line is 2y = 4x + 6.
The value of h is
A
  4
B  2
C  -4
D  3
 

 

18.

The vertical and horizontal distances of a car from an airborne helicopter is 590 m and 710 m respectively. The angle of depression of the car from the helicopter is
A  39.73°
B  40.92°
C  38.09°
D  36.8°
 

 

19.

6 cos 90° + 2 cos 180° + 4 cos 60° =
A  0
B  -1
C  0
D  -1
 

 

20.




 

Fruit

Apple

Orange

Watermelon

Frequency

9

x

30

The table above shows the number of fruits in a supermarket. If a fruit is selected at

random, the probability that it is a watermelon is

3

. Find the value of x.

4

A  2
B  0
C  40
D  1
 

 

 

21.




 

8x(x + 6y) + (5x - y)2 =
A
  33x2 - 38xy + y2
B  38x2 + 33xy + y2
C  33x2 + 38xy + y2
D  38x2 - 33xy - y2
 

 

22.




 

The smallest number after 112 is.
A
  1002
B  1112
C  122
D  1102
 

 

23.

 

Express 155000 in standard form.
A  1.55 × 103
B  1.55 × 105
C  1.55 × 10–3
D  1.55 × 10–5
 

 

24.

 

The table shows the distribution of the scores of a group of pupils in a quiz.

Score

0

1

2

3

4

5

Frequency

2

8

1

2

8

2

The median score of the distribution is
A
  3
B  2.5
C  3.5
D  4
 

 

25.

2 cos 0° + 5 cos 120° + 11 cos 240° =
A  -6
B  -7
C  -5
D  5
 

 

26.

A box contains 17 blue marbles and 19 yellow marbles. Ryan puts another 2 blue marbles and 6 yellow marbles inside the box. A marble is chosen at random from the box. What is the probability that a blue marble is chosen?

A       

17
44

 

B       –

17
36

 

C       

19
44

 

D       

 1 
2


 

 

27.

The gradient of the straight line 6x + 5y = 10 is

A       –

5
6

 

B       –6

 

C       –5

 

D       –

6
5


 

 

28.




 


In the diagram shown, LMNO is a common tangent to the two circles, with centres J and K, touching each other externally. If the radii of the circles are 3 cm and 6 cm respectively, find the length of PK in cm.
A
  6.11
B  7.02
C  9.75
D  8.49
 

 

29.




 

Which of the following compound statements is not true?
A
  12 > 9 or 10 < 5
B  6 kg = 6000 g or 6 g = 600 mg
C  8 is an even number or 2 is an prime number.
D  14 is an odd number or 1 is an even number.
 

 

30.

 

Round off 11350 correct to three significant figures.
A  11450
B  11000
C  113
D  11400
 

 

31.

Weekly wages (RM)

Frequency

300 - 399

8

400 - 499

8

500 - 599

10

600 - 699

x

700 - 799

9

The table given above shows the frequency distribution of the weekly wages, in RM, of some office workers in a company. Given the modal class is 500 - 599, find the maximum value of x.
A
  7
B  9
C  10
D  11
 

 

32.

Outcome

1

2

3

4

5

6

Frequency

87

74

85

72

85

97

 

A dice is rolled 500 times. The result are shown in the table above. The probability of obtaining a number greater than 1 is

A  

 414 
500

 

B  

 413 
500

 

C  

 414 
510

 

D  

 415 
510

 

 

 

33.




 

Radius (cm)

1.8 - 2.3

2.4 - 2.9

 

The table shows the class intervals for the distribution of the radius, in cm, of some marbles. The next class interval in the table is
A
  2.8 - 3.3
B  2.9 - 3.4
C  3.0 - 3.5
D  1.8 - 3.5
 

 

34.




 

Given that 2(5)3 + 52 + 1 = x, find the value of x in base five.
A
  276
B  2103
C  21010
D  2101
 

 

35.


In the diagram above, ST and VU are two vertical poles of heights 7 m and 11 m respectively on the horizontal ground. Calculate the angle of elevation of V from S.
A  18.24°
B  15.95°
C  26.07°
D  12.22°
 

 

36.




 


In the diagram, ABC is a tangent to the circle. Given that BE = DE and ÐABD = 146°, find ÐBFE.
A
  109°
B  107°
C  71°
D  105°
 

 

37.

Determine the y-intercept of the straight line 2x + 4y + 17 = 0.

A       

 17 
  4

 

B       –

 17 
  2

 

C       –

 17 
  4

 

D       –4


 

 

38.




 

 Premise 1 : All prime numbers have two factors only.  
 Premise 2 : _______________________________  
 Conclusion : 19 has two factors only.                           

 

Premise 2 in the above argument is

A  Prime numbers have two factors only.
B  Two factors are prime numbers.
C  19 is a prime number.
D  Prime numbers can be divided by 19.
 

 

39.


The diagram above shows a cube with EFGH as the horizontal base. The angle between the line JG and the base is
A  ÐJGF
B  ÐFGH
C  ÐJEG
D  ÐJGE
 

 

40.




 


In the Venn diagram above, the universal set, x = L È M È N.
Find the value of n(L' È M).
A
  19
B  22
C  15
D  29