FS+ Mathematics Mathayom 3

FS+ Mathematics Mathayom 3

1 | Mathematics Mathayom 3

Chapter 1 Linear Inequalities

Questions

1. Which of the following is true? A -10 > -3 B 0.45 > !"

#""

C - #$ < - %

&

D '( < )

*

2. Which of the following is not a linear inequality? A x ≥ –3 B -2 < 3y C -7 ≤ %

$x

D 3x ≥ %+,

3. Given that 3 – 4x > 19 and x is an integer, the largest value of x is A –2 B –3 C –4 D –5

4. Given that p > 25 and p is a number divisible by 3. Determine the smallest value of p. A 24 B 25 C 26 D 27


5. Which of the following number lines represents the solution for the inequality x + 6 ≥ 9? A

B

C

D

6. Which of the following represents the solution for the linear inequalities –2 ≤ 4 – x < 7? A B

C D


7.

The number line in the diagram above represents the solution for inequality A -2 < x ≤ 0 B -2 ≤ x and 0 ≤ x C -2 ≤ x < 0 D x ≥ 0

8. Given that 3 – 2x ≥ 6, hence A x ≥ - $

%

B x ≤ - $%

C x ≥ - %$

D x ≤ - %$

9. Find the solution for #

%(x – 3) ≥ #

$(2 – 3x).

A x ≥ &#$

B x ≥ #$&

C x ≤ &#$

D x ≤ #$&

10. Given that 4 < -$ – 2 ≤ 9, hence

A 6 < x ≤ 21 B 14 < x ≤ 29 C -9 < x ≤ 17 D 18 < x ≤ 33

11. Solve the inequality 5 – #% x ≥ 7.

A x ≥ –4 B x ≤ – 4 C x ≥ 9 D x ≤ 9


12. Solve the inequality: 6 – 4x ≥ –14 A x ≤ –5 B x ≤ 5 C x ≤ –5 D x ≤ 5

13. Solve the following linear inequality: 3 – *-

% < –7

A x < #'*

B x > #'*

C x < 4 D x > 4

14. Which of the following is true for the inequality +

$ + 4 > 7 – x?

A – +$ > 3

B )$x > 9

C 4x > 9 D 4x < 9

15. The solution for 6 – 2x > 3x + 1 is A x < 7 B x > 5 C x > 1 D x < 1

16. The diagram below represents two simultaneous linear inequalities on a number line.

Which inequality represents the common part of both the inequalities? A –3 < x < 2 B –3 ≤ x < 2 C –3 < x ≤ 2 D –3 ≤ x ≤ 2


17. One possible solution for the system of linear inequalities 3g – 4 < 23 and

4g – 5 ≥ 27 is A g = 8 B g = 9 C g = 10 D g = 11

18. The solution for the simultaneous linear inequality x – 3 ≥ 8 and 10 – 2x > -16 is

A 11 ≤ x < 13 B 11 < x ≤ 13 C -5 ≤ x < 13 D -11 < x < 13

19. Given that x ≥ –3 and x < 4, where x is an integer. The values of x that

satisfy the two inequalities are A –2, –1, 0, 1, 2, 3 B –2, –1, 0, 1, 2, 3, 4 C –3, –2, –1, 0, 1, 2, 3 D –3, –2, –1, 0, 1, 2, 3, 4

20. Given that inequalities 4p ≥ 6 + p and 2q + 1 ≤ 3q. If p and q are integers,

find the minimum value of p + q. A 1 B 2 C 3 D 4


Chapter 2 Fractions

Questions

1. Which of the following is not a rational number? A 29 B -2.35 C 0.68 D √7

2. Which of the following is true? A 2#

$ < 2#

(

B *! < %

&

C 4 )#$

< 3#$#)

D 7 !' < %$

%

3. Which of the following has a value smaller than )

#* ?

A &#'

B %

'

C $#)

D ##

'

4. Which of the following fractions has the largest value?

A %$

B $)

C *(

D '#%

5. Find the value of *#%

+ '(.

A $*

B #%

C 1##%"

D 1 '%)


6. 1%$ + 2%

* =

A 3 )#*

B 3 '#*

C 4 ##*

D 4 )

#*

7. #% + 1#

$ + 2$

) =

A 3 *#%

B 4 #

#%

C 4 *#%

D 4 '

#%

8. 3$) - 2)

* =

A '#"

B #'

%"

C &#"

D #&

%"

9. $

) x 1%

& =

A #$$!

B #&$!

C '

#%

D ###%

10. 1*& x 2#

) =

A 2#%

B 2$)

C 3#%

D 3$)


11. !%*

÷ (#*

=

A %*

B &%"

C ##

%"

D #$%"

12. 2%* ÷ 1#

$ =

A 1%*

B 1$*

C 1)*

D 2#*

13. *

! - $

* + #

$ =

A #$$"

B (

#*

C #'$"

D #&

$"

14. $( + %

& x #(

* =

A '(

B 1 #)"

C 1 '

)"

D 2 ##"

15. 3#! x $

( - $

) =

A $#!

B *#!

C '

#!

D &#!


16. 2#! ÷ (1#

) + #

$) =

A 1 '#%

B 1##

#*

C 1 '#&

D 2$*

17. 1%$ ÷ 2*

! x 1#

) =

A #&$)

B %#

$)

C %*$)

D %'

$)

18. %& ÷ 1#

$ + $

* x #"

%# =

A #&)%

B %$

!$

C #!#(&

D %'

%(

19. Somsak had 270 oranges. He sold *

& of the oranges. Then he gave 36 of the

remaining oranges to his sister. Calculate the number of oranges he has left. A 84 B 114 C 120 D 150

20. There are 320 workers in a factory. *( of them are males. )

* of the male

workers are foreigners. How many male foreign workers in the factory? A 96 B 120 C 160 D 200


Chapter 3 Systems of Linear Equations

Questions

1. Given that 6v + w = 5 and 3v – w = –23, calculate the value of v. A 17 B 9 C 2 D –2

2. It is given that 4x = –28 and 3y + 7x = –31. Find the value of y. A –7 B –6 C 6 D 8

3. Given that 7x – 2y = –11 and 4x + 3y = 2. Calculate the value of y. A –2 B –1 C 1 D 2

4. Given that x + y = 9 and 3y = 6, then x = A 6 B 7 C 8 D 9

5. Given that x + y = 7 and x – y = 11, find the values of x and y. A x = -9, y = -2 B x = -2, y = 9 C x = 2, y = -9 D x = 9, y = -2


6. Given that x = 2y and 4x – 3y = 10, find the values of x and y. A x = 2, y = 3 B x = 2, y = 4 C x = 4, y = 2 D x = 4, y = 6

7. If x + 2y = 5, x + y = -2, then y = A 2 B 3 C 7 D 8

8. Given that 3m – 4n = -5 and 2m – 7n = 1, then m = A -3 B -2 C 2 D 3

9. Somsri solves the simultaneous equations 3x + 2y = 8 and 2x – 3y = 14 using the following method. 9x + 6y = 24 - 6y = 28 Which of the following terms should be filled in the box? A -6x B 4x C 6x D 12x

10. By using the elimination method to solve simultaneous equations in two

variables, a student made the coefficients of x the same for the equations 4x – 2y = 3 and 3x – y = 2. This is what he obtained.

12x – 6y = 9 12x – y = 8

Which term is written wrongly?


A 8 B 9 C –y D -6y

11. Given that 3p + 2q = 1 and 2p – q = -11, calculate the value of p + q.

A -4 B -2 C 2 D 3

12. Given 2y – x = -5 and 3y + 2x = 3, calculate the value of x – y.

A -4 B -2 C 2 D 4

13. Given 2x + y = 8 and x – y = 10, then x + y =

A 2 B 6 C 8 D 14

14. Given that 2x + 3y = 19 and y = x – 2, find the value of x. A 2 B 4 C 5 D 7

15. Given that 4x + 3y = 7 and 3x + 4y = 0, the value of y is A -1 B -3 C 3 D 6


16. Given 7p + 3q = -1 and p – 3q = 5, the value of p is A #

)

B #%

C 2 D 4

17. Given 3m – n = 3 and 2m – 3n = -5, then n = A -3 B -2 C 2 D 3

18. Solve the simultaneous linear equations 3v + 4w = 6 and 3w = 7 – v. A w = 3, v = -2 B w = -3, v = 2 C w = -3, v = 2 D w = -3, v = 2

19. Two straight lines y – x = 2 and 3x + y = 10 intersect at the point P(x, y).

Solve the two simultaneous linear equations to find the coordinates of the point P. A (1, 4) B (2, 3) C (2, 4) D (4, 3)

20. Solve the simultaneous linear equations 3x + 2y = 4 and 5x + 2y = 8. A x = 2, y = -1 B x = 2, y = 1 C x = 4, y = -1 D x = $

%, y = 1


Chapter 4 Quadratic Functions

Questions

1. Which of the following is not a quadratic function? A f(x) = x2 + 2x – 3 B f(x) = 3x2 - 4x + 1 C f(x) = 4x – 2 D f(x) = x(x - 5)

2. Which graph of the following quadratic functions opens downward? A f(x) = x2 + 4x – 3 B f(x) = 5x2 + 3 C f(x) = -3x2 - 4x + 2 D f(x) = 10 + 2x + 2x2

3. Which of the following has no real roots? A f(x) = 8x2 + 2x - 2 B f(x) = -5x2 + 2x - 1 C f(x) = -3x2 - 4x + 2 D f(x) = -x2 + 5x – 3

4. Given that f(x) = 6x2 + 4x + h + 2 has one root only, find the value of h.

A 4 B - 8 C - )

$

D - $)

5. Given that f(x) = 3x2 - 6x + q + 4 has two different roots, find the range of

values of q. A q < -1 B q < -2 C q < 1 D q < 2


6. Find the vertex of f(x) = x2 + 4x – 9. A (-1, -3) B (-1, -13) C (-2, 3) D (-2, -13)

7. What is the minimum value of f(x) = 4x2 + 8x – 16? A (1, -5) B (-1, 5) C (-1, -5) D (-5, -1)

8. What is the minimum value of f(x) = x2 - 6x + 2? A (3, -5) B (3, -7) C (-3, -7) D (-7, -3)

9. What is the maximum value of f(x) = 1 – 4x - x2? A (-2, -5) B (-2, 5) C (5, -2) D (-5, 2)

10. Find the y-intercept of f(x) = 2x2 + 5x + 4. A (0, 4) B (0, -4) C (4, 0) D (-4, 0)


11. Find the y-intercept of f(x) = 10x2 + 8x - 12. A (0, 12) B (0, -12) C (-12, 0) D (-6, 0)

12. The diagram below is drawn on a Cartesian plane.

One of the values of x when f(x) = 1 is

A 4 B 3 C 2 D 0

13. Given a function f(x) = –2x2 + 3x – 5, calculate the value of f(x) when x = –2. A –19 B –3 C 9 D 19

14. Given a function f(x) = 2x2 + x – 3, calculate the value of f(x) when x = –1. A – 6 B – 4 C –2 D 0


Chapter 5 Factorization of Polynomials

Questions

1. Factor the following polynomial. y2 - 49

A (y + 7)(y + 7) B (y – 7)(y + 7) C (y – 7)(y - 7) D (y – 49)(y + 1)

2. Factorize 81x2 – 9. A (9x – 3)(9x + 3) B (9x – 3)(9x - 3) C (9x – 9)(9x + 1) D 9(9x2 – 1)

3. Factorize 4x4 – 1. A (2x2 – 1)(2x2 - 1) B (2x2 – 1)(2x2 + 1) C (2x4 – 1)(2x2 + 1) D (4x2 – 1)(x2 + 1)

4. Factorize 121 – 36p6. A (11 – 6p3)(11 + 6p3) B (11 – 6p4)(11 - 6p2) C (11 – 36p3)(11 + p3) D (121 – 36p3)(1 + p3)

5. Which of the following are perfect square trinomials? I y2 – 4y + 4 II 4y2 + 16y + 8 III 16y2 – 48y + 36


A I and II only B I and III only C II and III only D I, II and III

6. Factorize 64y2 + 64y + 16. A (8y - 4)(8y - 4) B (8y + 4)(8y + 4) C (64y + 4)(y + 4) D 16(4y + 1)(y + 1)

7. Factorize 25x4 – 20x3 + 4x2. A (5x2 – 2x) (5x2 + 2x) B (5x2 – 2x) (5x2 - 2x) C (5x2 - 2) (5x2 + 2) D (5x4 – 2x) (5 - 2x)

8. Factorize p3 – 27. A (p – 3)( p2 + 3p + 32) B (p – 3)( p2 - 6p - 32) C (p – 3)( p2 + 6p + 32) D (p – 9)( p2 + 3p + 32)

9. Factorize 64x3 + 1.

A (4x + 1)(4x2 - 4x + 1) B (4x + 1)(16x2 + x + 1) C (4x + 1)(16x2 - 4x + 1) D (8x + 1)(8x2 - 4x + 1)

10. Factorize –q3 – 216.

A –(q + 6)(q2 + 6q + 36) B –(q + 6)(q2 + 6q + 108) C (q - 6)(q2 - q - 36) D (q + 6)(q2 - 6q - 36)


11. Find all the factors of 9y. A 1, 3, 9, y, 3y B 1, 3, 9, y, 3y, 9y C 1, 3, 9, y, 3y D 3, 9, y, 3y, 9y

12. Find all the factors of 4x2. A 1, 2, 4, x, 2x, 4x, x2, 4x2 B 1, 2, 4, x, 4x, x2, 2x2, 4x2 C 1, 2, 4, x, 2x, 4x, x2, 2x2, 4x2 D 1, 2, 4, x, 2x, 3x, 4x, x2, 2x2, 4x2

13. Find the common factors of 5x and 25x2. A 1, 5, x, 5x B 1, 5, x, 25x C 1, 5, x, 5x, 25x D 5, x, 5x

14. Find the highest common factor of 6x and 8x2. A 2 B x C 2x D 4x

15. Find the highest common factor of 2x3 and 12x2.

A x B 2x C 2x2 D 4x2

16. Factorize 3x4 - 6x2.

A x2(3x2 – 3) B 3x2(x2 – 2) C 3x(x3 – 2x) D 3x2(x – 2)(x + 2)


17. Factorize 2x6 + 4x4 – 8x3. A x3(2x3 - 4x – 8) B 2x3(x2 + 2x – 4) C 2x3(x3 + 2x – 4) D 2x3(x3 + 4x + 4)

18. Factorize 4x3 + 4x2 – 2x – 2 using grouping. A (2x2 – 1)(2x + 1) B (2x2 – 1)(2x + 2) C (4x2 – 1)(x + 1) D (4x2 + 1)(2x + 2)


Chapter 6 Surface Areas and Volumes of Pyramids, Cones and Spheres

Questions

1. The diagram below shows a right pyramid with square base RSTU. Given VR = VS = VT = VU = 13 cm, find the surface area, in cm2, of the pyramid.

A 240 B 340 C 360 D 400

2.

In the diagram above, ABCD is a square and V is vertically above the center of the square. Find the surface area of the pyramid, in cm2. A 256 B 320 C 336 D 576


3. The diagram below shows a square pyramid. The total surface area of the pyramid is 384 cm2.

What is the length of the slant? A 8 cm B 9 cm C 10 cm D 12 cm

4. The diagram below shows a cone. What is the surface area of the cone?

A 62!

' cm2

B 176 cm2 C 352 cm2 D 452)

' cm2

5. The diagram below shows a cone.

Find the curved surface area of the cone. A 188.52 cm2 B 204.23 cm2 C 314.2 cm2 D 377.04 cm2


6. The diagram below shows a cone with base radius 10 cm.

If the total surface area of the cone is 1068.28 cm2, find the value of x. [Use π = 3.142] A 18 B 20 C 22 D 24

7. The diagram below shows a solid with conical ends. Find the total surface area, in cm2, of the solid. [Use π = %%

']

A 220 B 330 C 440 D 550

8. The diagram below shows a sphere.

What is the surface area of the sphere?


A 125*' cm2

B 157#' cm2

C 628)' cm2

D 1257#' cm2

9. Find the surface area of a sphere with a radius of 14 cm.

A 352 cm2 B 1132 cm2 C 2464 cm2 D 9856 cm2

10.

In the diagram above, the base of the right pyramid is a square of side 9 cm. The height of the pyramid is 12 cm. Calculate the volume of the pyramid, in cm3. A 324 B 344 C 364 D 384

11. The volume of a pyramid is 448 cm3 and has a rectangular base of 8 cm by 12 cm. Find the height, in cm, of the pyramid. A 14 B 16 C 18 D 26


12. The diagram below shows a right pyramid with a rectangular base.

Find the height, in cm, of the pyramid if the volume of the pyramid is 72 cm3. A 7 B 8 C 9 D 10

13.

Calculate the height, in cm, of the pyramid above if its volume is 140 cm3. A 7 B 9 C 14 D 20

14. Calculate the height, in cm, of a right pyramid with a volume of 80 cm3 and a base area of 20 cm2. A 6 B 8 C 10 D 12


15. The diagram below shows a right cone.

The volume, in cm3, of the cone is A 12𝜋 B 15𝜋 C 18𝜋 D 25𝜋

16. The diagram below shows a sphere.

Calculate the volume of the sphere. A 28%

' cm3

B 37*' cm3

C 103%' cm3

D 113#' cm3

17. The diagram below shows a hemisphere.

Calculate the volume of the hemisphere. A 102%

$ cm3

B 179%$ cm3

C 718%$ cm3

D 1437#$ cm3


18. Calculate the volume, in cm3, of a sphere, given that its radius is 10.5 cm.

[Use π = %%'

] A 4751 B 4781 C 4821 D 4851

19. Calculate the radius of a sphere, in cm, given that its volume is 905#

' cm3.

[Use π = %%'

] A 4 B 5 C 6 D 9

20. The diagram below shows a composite solid consisting of a cone and a

hemisphere. The diameter of the hemisphere is 6 cm.

Calculate the volume of the solid, in cm3. A 28𝜋 B 30𝜋 C 32𝜋 D 36𝜋


Chapter 7 Similarity

Questions

1. The diagram below shows tree M is the scale drawing of tree L.

State the scale of the drawing. A 1 : *

%

B 2 : 5 C 1 : 100 D 1 : 250

2.

In the diagram above, which of the figures shown is a scale drawing of figure X with a scale of 1 : #

% ?


3.

In the diagram above, S is the scale drawing of R. What is the scale used? A #

% : 1

B 1 : #%

C 1 : 1 D 1 : 2

4. The diagram below is drawn on a grid of equal squares.

Which of the polygons are the scale drawings for P? A I and II B I and III C II and IV D III and IV

5. The scale of a building plan is 1 : 120. Find the actual length of a bedroom, in m, if it is represented by a length of 8 cm. A 9.6 B 7.6 C 3.5 D 1.5


6. A map has a scale of 1 : 20,000. If the length of two points at a river mouth on the map is 10.5 cm, find the actual length, in km. A 2.1 B 21 C 210 D 2100

7. The figures in the diagram below are drawn on a grid of equal squares.

Which of the shapes, A, B, C or D, is a scale drawing of the shape V?

A B C D

8. The distance between two towns on a map is 10 cm. If the scale used is

1 : 50,000, what is the actual distance, in km, of the two towns? A 5 B 50 C 500 D 5000

9. A group of students were assigned to draw a tower to a scale of 1 : 100. The height of the tower is 421 m. What is the height, in cm, of the tower on the scale drawing? A 4.21 B 42.1 C 421 D 4210


10. The diagram below shows the areas of two hexagons, X and Y.

If X is the scale drawing of Y, find the scale used. A 16 : 1 B 4 : 1 C 1 : 16 D 1 : 4

11. The design of a trophy on a scaled drawing of 1 : 2 has a height of 20 cm.

Calculate the actual height, in cm, of the trophy. A 10 B 20 C 30 D 40

12. The scaled drawing of a signboard has a length of 30 cm. If the actual length

of the signboard is 15 m, what is the scale used? A 1 : 5 B 1 : 15 C 1 : 20 D 1 : 50


13.

In the diagram above, K is the scale drawing of J with a scale of 1 : n. What is the value of n? A 4 B 2 C #

%

D #)

14. The diagram below shows the floor plan of a flat. The shape of each room is

a rectangle. The scale of the plan is 1 : 150.

Calculate the area, in m2, of Bedroom 2. A 3 B 4.5 C 13.5 D 14


15.

Which of the following triangles is similar to the triangle above? A B

C D

16.

Among the triangles P, Q, R and S above, which triangle is similar to the shaded triangle? A P B Q C R D S


17.

Both of the triangles above are similar. Find the value of x. A 3.6 B 5.8 C 6.4 D 8.8

18. The diagram below shows two similar triangles.

Find the value of l. A 6 B 13 C 27 D 35

19.

In the diagram above, ∆ABC and ∆JKL are similar. If BC = 7 cm, JL = 24 cm and JA = AC = CL, calculate the length, in cm, of KL. A 15 B 21 C 24 D 27


Chapter 8 Trigonometric Ratios

Questions

1.

In the diagram above, tan y =

A $(

B *(

C 1#$

D 2%$

2.

In the diagram above, tan x =

A #!

B #)

C #%

D $)


3. The diagram below shows a right-angled triangle.

Given that tan 𝜃 = $

), find the value of x.

A 6 B 8 C 9 D 10

4.

In the diagram above, QRST is a square and PQR is a straight line. Given the area of QRST is 36 cm2. Find tan x.

A #)

B $)

C '#*

D (#*

5.

In the diagram above, tan x = #

%, then tan y =

A %$

B *!

C *&

D '&


6.

In the diagram above, tan 𝜃 = 2, SQ = 12 cm, PR = 10 cm, find ST in cm. A 2 cm B 4 cm C 5 cm D 6 cm

7.

In the diagram above, PQST is a rectangle. If tan y = !

", find the value of tan x.

A #*

B %*

C $*

D $)

8. The diagram below shows right-angled triangle ABC.

Find the value of sin 𝜃.

A *#%

B '#$

C *#$

D #%#$


9. In the diagram above, PQR is a right-angled triangle. Given that sin 30° = #

%,

find the length, in cm. A 12 B 13 C 14 D 16

10. The diagram below shows a right-angled triangle PQR.

Find the value of sin x.

A √%$

B #√%

C √2

D $√%

11.

In the diagram above, PQR and PRS are right-angled triangles. Find the value of sin x.

A #)

B $(

C %$

D *(


12. The diagram below shows a right-angled triangle PQR.

Cos x = A /0

10

B /01/

C 1/10

D 10/0

13. The diagram below shows a right-angled triangle.

Determine the value of cos x. A 0.6 B 0.75 C 1.25 D 1.33

14. The diagram below shows a quadrilateral, PQRS.

Determine cos x.

A *!

B $)

C %$

D #%


15.

In the diagram above, PSR is a straight line and S is the midpoint of PR. Find the value of cos x.

A #%

B $*

C $)

D *(

16. The diagram below shows a triangle ABC and BDC is a straight line.

Given that cos 𝜃 = $

*, find the value of tan x.

A #%

B $)

C *(

D &(

17. In the diagram above, PQRS is formed from two right-angled triangles. Given that sin x = $

), find the

value of cos y.

A #$ C $

)

B %$ D )

*


18. The diagram below shows two right-angled triangles.

Given that cos x = #%

#$, determine sin y.

A #"#$

B )*

C *!

D #%#$


19. In the diagram below, RSTU is a square of 400 cm2.

Given that tan x = #

%, sin y =

A #$

B #%

C $*

D $)

20.

In the diagram above, tan x = $

%. Determine the value of y.

A 30° B 45° C 50° D 60°

21. A ladder of 8 m is leaned against a wall. If the foot of the ladder is 3 m from the wall, find the angle inclined by the ladder to the floor. A 22.02° B 33.99° C 61.08° D 67.98°


Chapter 9 Circles

Questions

1. A straight line PQ is drawn as shown in the diagram below.

The line PQ is a A line segment B chord C tangent D diameter

2.

Find the value of x in the diagram above. A 30° B 45° C 50° D 60°

3.

The minor arc AE = minor arc DE in the diagram above. Determine the value of ∠BED.


A 56° B 59° C 63° D 88°

4.

Calculate the value of x in the diagram above. A 45° B 55° C 66° D 70°

5.

In the diagram above, O is the center of the circle. The value of x is A 135° B 140° C 145° D 150°

6.

In the diagram above, O is the center of the circle. What is the value of x?


A 56° B 62° C 65° D 68°

7.

In the diagram above, O is the center of the circle. ∠BCO = A 12° B 15° C 20° D 26°

8. In the diagram below, JKLM is a circle with center O.

Find the value of t. A 22° B 32° C 45° D 52°

9. In the diagram 12 below, O is the center of the circle.

Find the value of x.


A 25° B 42° C 84° D 109°

10. In the diagram below, PQRS is a cyclic quadrilateral and EQSF is a straight line.

Find the value of x. A 110 B 120 C 130 D 140

11.

The value of ∠ACB in the diagram above is A 42° B 47° C 50° D 69°

12.


In the diagram above, the value of ∠BCD is A 70° B 72° C 80° D 84°

13.

In the diagram above, BD is the diameter of the circle. Find the value of ∠ABC. A 107° B 109° C 118° D 134°

14. The diagram below shows a cyclic quadrilateral TUVW. VWX is a straight line.

The value of h + i is A 73° B 107° C 117° D 127°


15. In the diagram below, MNPQ is a circle with center O and LMN is a straight line.

Calculate the value of x. A 43° B 86° C 93° D 100°

16. In the diagram below, KLMN is a cyclic quadrilateral, QKL and PNMR are straight lines.

Find the value of y – x. A 5 B 20 C 25 D 30

17.

In the diagram above, EFG is a tangent to the circle at point F. What is the value of x?


A 35° B 45° C 50° D 55°

18.

In the diagram above, EFG is a tangent to the circle at point F. The value of x is A 54° B 57° C 60° D 66°

19.

In the diagram above, PQR is a tangent to the circle at point Q. If QT = QS, what is the value of x? A 40° B 60° C 80° D 100°


20. The diagram below shows PQR is a tangent to the circle at point Q. TSR is a

straight line.

What is the value of x? A 60° B 100° C 110° D 140°


Chapter 10 Box Plots

Questions

1. Find the median of 3, 7, 7, 8, 9, 4 and 5. A 4 B 5 C 7 D 8

2. Find the median of the set of data.

26, 37, 40, 32, 37, 36 A 34 B 36.5 C 36 D 37

3. The following shows a set of data. 5, x, 10, 12, 8, 19, 13 If x is the median of the set of data above, the value of x could be A 10 only B 10 and 12 only C 10, 11 and 12 only D 9, 10, 11 and 12 only

4. What is the median of the following set of data? 16, 15, 10, 13, 19, 20, 11, 15, 16, 18, 17 A 15 B 15.5 C 16 D 16.5


5. Find the first and third quartiles of the following set of data.

42, 41, 49, 41, 42, 45, 46

First quartile Third quartile A 41 46 B 42 45 C 42 43.5 D 41.5 45.5

6. Find the first and third quartiles of the following set of data.

81, 95, 88, 78, 86, 92, 84, 87

First quartile Third quartile A 81 92 B 82.5 90 C 84 88 D 85 87.5

7. The following shows a set of data.

y, 128, 119, 127, 114, 126, 120

If y is the median, find the first and third quartiles of the set of data. First quartile Third quartile A 116.5 127.5 B 119 127 C 119.5 126.5 D 120 126


115, x, 84, 102, 108, 91, 94, 113, 85, y, 112

x is the median and y is the first quartile of the set of data. Given that y is an integer and y > 88, y could be A 89 B 90 C 90, 91 D 89, 90, 91


9. Find the range and interquartile range of the following set of data.

61, 51, 62, 68, 64, 53, 60, 58, 67

Range Interquartile range A 9 6 B 10 10 C 17 10 D 17 6

10. Find the interquartile range of the following set of data.

201, 199, 215, 204, 197, 208, 200, 184, 185, 214, 207

A 9.5 B 11 C 20 D 31


14, 16, 13, 17, 15, 10, 18

Which of the following box plots can be used to represent the set of data above? A

B

C

D


12. The box plot below shows the masses of some students.

What is the median of the masses? A 12 B 30 C 34 D 42

13. The box plot below shows the scores of 10 students in a test.

What is the interquartile range of the scores? A 15 B 30 C 70 D 75


Chapter 11 Probability

Questions

1. Somsri chooses a ball randomly from a box containing 25 red balls, 36 yellow balls, 18 purple balls and 32 blue balls. Which of the following is not a possible outcome? A Somsri chooses a blue ball. B Somsri chooses a yellow ball. C Somsri chooses a green ball. D Somsri chooses a red ball.

2. Which of the following situations does not have equally likely outcomes? A Playing a card B Tossing a coin C Throwing a matchbox D Throwing a dice

3. Which a dice is tossed, which of the following are the possible outcomes? I Obtaining the number 5 II Obtaining the number 7 III Obtaining the number 2 A I and II only B I and III only C II and III only D I, II and III

4. Jess chooses a number which is a factor of 16 from a set of numbers from 1 to 10. What are the possible outcomes? A 1, 4, 8 B 1, 2, 4, 8 C 1, 2, 4, 8, 16 D 2, 4, 8


5. What is the likelihood of Andy picking a red pen at random from a box filled only with blue pens and black pens? A Impossible B Not likely C Likely D Definitely

6. What is the likelihood of getting a number greater than 8 from the set of numbers from 10 to 20? A Impossible B Not likely C Likely D Definitely

7. Sally is playing cards with her friends. The total number of cards is 52. What is the probability of each possible outcome when Sally picks a card? A #

!

B #%!

C #*%

D 52

8.

Which of the following situations is most likely the one shown on the probability scale above? A The last day of a year is 31 December. B A card number ‘6’ is chosen from the set [2, 6, 8, 10, 15, 20]. C It will rain in Bangkok during rainy season. D Obtaining a ‘tails’ when a coin is tossed.


9. The probability of getting a red apple at random from a bag filled with 18 green apples and 12 red apples is A %

*

B $*

C %$

D #%

10. In a group of 40 students, there are 22 boys. Then, 4 girls leave the group. If a student is chosen at random from the group, what is the probability that the student chosen is a girl? A '

%"

B '#(

C '##

D #$

11. A box contains 11 red marbles, 15 blue marbles and 22 yellow marbles. Jerry puts 5 red marbles and 3 blue marbles into the box. If a marble is chosen at random from the box, what is the probability that a yellow marble is chosen? A #

)

B ##%)

C ##

%(

D %'

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