Free Printable IGCSE Math Ch10 Vectors and Polygons

1.

Find angle x

a)

156^o

b)

125^o

c)

170^o

d)

80^o

2.

Find angle x

a)

136^o

b)

226^o

c)

316^o

d)

91^o

3.

Find angle x

a)

215^o

b)

35^o

c)

125^o

d)

85^o

4.

Find angle x

a)

90^o

b)

45^o

c)

135^o

d)

225^o

5.

Find angle x

a)

220^o

b)

130^o

c)

40^o

d)

170^o

6.

Find angle x

a)

252^o

b)

72^o

c)

162^o

d)

171^o

7.

Find angle x

a)

21^o

b)

201^o

c)

111^o

d)

191^o

8.

Find angle x

a)

236^o

b)

56^o

c)

146^o

d)

191^o

9.

Find angle x

a)

127^o

b)

217^o

c)

37^o

d)

63^o

10.

Find angle x

a)

125^o

b)

215^o

c)

35^o

d)

65^o

11.

Find angle x

a)

247^o

b)

67^o

c)

157^o

d)

203^o

12.

Find angle x

a)

247^o

b)

67^o

c)

157^o

d)

203^o

13.

Find the area of the following polygon.

a)

108 u²

b)

1782 u²

c)

445 in²

d)

891 in²

14.

Find the area of the following polygon.

a)

15 in²

b)

240 in²

c)

120 in²

d)

20 in²

15.

Find the area of this regular polygon

a)

81.8 m²

b)

204.4 m²

c)

408.8 m²

d)

40.8 m²

16.

What is the area?

a)

24 cm²

b)

48 cm²

c)

120 cm²

d)

240 cm²

17.

What is the area?

a)

173.832 u²

b)

21.729 u²

c)

43.458 u²

d)

347.664 u²

18.

Find m<OHM

a)

30°

b)

60°

c)

90°

d)

45°

19.

Find the area

a)

96 cm²

b)

48 cm²

c)

36 cm²

d)

48 cm

20.

A line from the center of a regular polygon at right angles to any of its sides.

a)

apothem

b)

radius

c)

permimeter

d)

area

21.

a)

∠W≅∠E, ∠X≅∠D, ∠Z≅∠F, ∠Y≅∠G

b)

∠W≅∠G, ∠X≅∠F, ∠Z≅∠D ∠Y≅∠E

c)

∠W≅∠D, ∠X≅∠E, ∠Z≅∠G, ∠Y≅∠F

d)

∠W≅∠F, ∠X≅∠D, ∠Z≅∠G, ∠Y≅∠E

22.

a)

WZ/DG=XY/EF=YZ/GF=ZW/DG

b)

XY/EF=YZ/DE=ZW/DF=WX/GE

c)

WX/DE=XY/EF=YZ/FG=WZ/DG

23.

a)

No

b)

Yes; ∎ABCD∼∎EFGH

24.

a)

No

b)

Yes; ΔLMN∼ΔTPO

c)

Yes; ΔLMN∼ΔOPT

25.

a)

13.5, 16

b)

18, 16

c)

24, 9

26.

a)

4, 24

b)

9, 12

c)

6, 8

27.

a)

4

b)

5/4

c)

12.8

d)

1.44

28.

a)

1.44

b)

4

c)

4/5

d)

12.8

29.

a)

4

b)

1.44

c)

12.8

d)

5/4

30.

Find the measure of the angle K .

a)

$97\degree$

b)

$17\degree$

c)

$90\degree$

d)

$48\degree$

31.

Find the missing angle .

a)

$95\degree$

b)

$7\degree$

c)

$80\degree$

d)

$39\degree$

32.

The measure of each interior angle of a regular polygon is $162\degree$ .Find the number sides of the polygon.

a)

180

b)

75

c)

40

d)

20

33.

What is the sum of interior angle in a nonagon?

a)

$360\degree$

b)

$1260\degree$

c)

$1080\degree$

d)

$700\degree$

34.

Find the value of X.

a)

100°

b)

110°

c)

150°

d)

168°

35.

Classify this polygon

a)

Regular

b)

Irregular

36.

How many lines of symmetry are there on an equilateral triangle?

a)

0

b)

1

c)

2

d)

3

37.

Regular or irregular polygon?

a)

Regular Polygon

b)

Irregular Polygon

38.

The figure shown is called a _______ because it has 8 side .

a)

Heptagon

b)

Octagon

c)

Pentagon

39.

What is the sum of the internal angles of a pentagon?

a)

180

b)

360

c)

540

d)

720

40.

Find the value of X.

a)

60

b)

120

c)

75

d)

45

41.

Find the value of x

a)

141

b)

150

c)

135

d)

163

42.

How many degrees do the angles of a triangle add up to?

a)

540

b)

90

c)

180

d)

360

43.

What is the name of a four sided polygon?

a)

Triangle

b)

Octagon

c)

Square

d)

Quadrilateral

44.

What is an irregular polygon?

a)

A polygon with no angles the same

b)

A polygon with no sides the same

c)

A polygon that does not have all of its sides or angles equal

d)

A polygon with all sides the same

45.

What is a regular polygon?

a)

A polygon with some sides the same

b)

A polygon with all sides the same

c)

A polygon with some angles the same

d)

A polygon with no sides the same

46.

The name of a polygon with 5 sides is:

a)

Pentagon

b)

Nonagon

c)

Fivetagon

d)

Octagon

47.

Classify this polygon

a)

Regular

b)

Irregular

48.

Classify this polygon

a)

Regular

b)

Irregular

49.

Which of the following are equiangular and equilateral polygons?

a)

Square

b)

Octagon

c)

Rhombus

d)

Polygon

50.

When all the ANGLES of a polygon are equal , it is said to be ___________

a)

regular

b)

equilateral

c)

irregular

d)

equiangular

51.

When all the SIDES of a polygon are equal , it is said to be ___________

a)

regular

b)

equilateral

c)

irregular

d)

equiangular

52.

What is a regular polygon?

a)

A polygon that has 1 set of parallel sides and 1 right angle.

b)

A polygon that has 2 sets of parallel sides and 2 right angles.

c)

A polygon that has 2 right angles and 2 sides congruent.

d)

A polygon in which all sides and all angles are congruent.

53.

Both of these figures are--

a)

Pentagons

b)

Octagons

c)

Nonagons

d)

Quadrilaterals

54.

which shape is not a polygon

a)

b)

c)

d)

55.

The name of a polygon with 5 sides is:

a)

Pentagon

b)

Nonagon

c)

Fivetagon

d)

Octagon

56.

The name of this polygon is

a)

Heptagon

b)

octagon

c)

Hexagon

d)

Nonagon

57.

Which of the following shapes are not polygons?

a)

b)

c)

d)

58.

A polygon is a closed sided figure with _____________.

a)

at least two sides

b)

at least three sides

c)

four or more sides

d)

no sides

59.

Why is a Triangle called Equilateral?

a)

It has two sides that match

b)

It has all 3 sides that match

c)

It has no sides that match

d)

It has four sides that match

60.

Select the two correct ways to classify the triangle in the picture.

a)

isosceles

b)

right

c)

scalene

d)

acute

e)

obtuse

61.

What is this?

a)

ray

b)

line

c)

right angle

d)

obtuse angle

62.

A quadrilateral with four sides of equal length and four right angles is ______

a)

rectangle

b)

square

c)

rhombus

d)

triangle

63.

What is the name of this polygon?

a)

a pentagon

b)

a quadrilateral

c)

an octagon

d)

a triangle

64.

Name this shape.

a)

rhombus

b)

square

c)

trapezoid

d)

pentagon

65.

How many sides does a decagon have?

a)

12

b)

9

c)

7

d)

10

66.

This is a pentagon. Pentagons have...

a)

5 sides and 5 angles

b)

3 sides and 2 angles

c)

2 sides and 3 angles

d)

10 sides all together

67.

What is this shape?

a)

ray

b)

trapezoid

c)

parallelogram

d)

rhombus

68.

How many sides does a Pentagon have?

a)

4

b)

3

c)

5

d)

9

69.

How many sides does a Quadrilateral have?

a)

4

b)

3

c)

6

d)

9

70.

Describe the translation from the shaded shape to shape B.

a)

$\lceil2\rceil$

$\lfloor2\rfloor$

b)

$\lceil5\rceil$

$\lfloor2\rfloor$

c)

$\lceil3\rceil$

$\lfloor2\rfloor$

d)

$\lceil4\rceil$

$\lfloor3\rfloor$

71.

Describe the translation from the shaded shape to shape E.

a)

$\lceil-4\rceil$

$\lfloor-4\rfloor$

b)

$\lceil-1\rceil$

$\lfloor-2\rfloor$

c)

$\lceil4\rceil$

$\lfloor4\rfloor$

d)

$\lceil-4\rceil$

$\lfloor-2\rfloor$

72.

What translation is described by the given vector?

a)

2 left, 6 down

b)

2 right, 6 down

c)

2 left, 6 up

d)

2 right, 6 up

73.

What translation is described by the given vector?

a)

8 left and none up or down

b)

8 up and non left or right

c)

8 down and non left or right

d)

8 right and none up or down

74.

What is the column vector of c

a)

$\lceil3\rceil$
$\lfloor1\rfloor$

b)

$\lceil2\rceil$
$\lfloor-3\rfloor$

c)

$\lceil-3\rceil$
$\lfloor2\rfloor$

d)

$\lceil3\rceil$
$\lfloor-3\rfloor$

75.

What is the column vector of g

a)

$\lceil3\rceil$
$\lfloor1\rfloor$

b)

$\lceil0\rceil$
$\lfloor3\rfloor$

c)

$\lceil-3\rceil$
$\lfloor0\rfloor$

d)

$\lceil0\rceil$
$\lfloor-3\rfloor$

76.

What is the column vector of b

a)

\lceil5\rceil

\lfloor1\rfloor

b)

$\lceil1\rceil$
$\lfloor5\rfloor$

c)

$\lceil-5\rceil$
$\lfloor-1\rfloor$

d)

$\lceil5\rceil$
$\lfloor-1\rfloor$

77.

Which statement describes a scalar?

a)

It has magnitude but no direction

b)

It has direction but no magnitude

c)

It has both direction and magnitude

d)

It has constant magnitude but no
direction

78.

An example of scalar magnitude is _____.

a)

velocity

b)

mass

c)

acceleration

d)

force

79.

the weight of a potatoes is 25 kg correct to the nearest kG /write down the smallest possible weight of the of bag /and also in largest

a)

smallest24.5/largest25.5

b)

smallest23.6/largest29.5

c)

smallest24.5/largest25.5kg

d)

kjjnejneqovmqeo

80.

x - y - 1 ≤ 0

a)

b)

c)

d)

81.

a)

(0, 0), (0, 6), (6, 2), (8, 0)

b)

(0, 0), (6, 0), (2, 6), (0, 8)

82.

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y . If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?

a)

x≥0
y≥0
x+y≥6
3x+2y≥15

b)

x≥0
y≥0
x+y≤6
2x+3y≤15

c)

x≥0
y≥0
4000x+y≤6
2x+600y≤15

d)

P=4000x+3000y

83.

It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?

a)

2x + 3y ≤ 18

b)

x + y ≤ 6

c)

x + y ≤ 9

d)

3x + 2y ≤ 18

84.

Which of the following inequalities matches the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

85.

Which of the following inequalities matches the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

86.

How long did it take this object to travel 10 m?

a)

0 s

b)

10 s

c)

15 s

d)

20 s

87.

What is
the Bearing
of A
from B?

a)

45

b)

130

c)

045

d)

135

88.

Solve for the variable.

a)

11

b)

-7.5

c)

35

d)

-2.52

89.

Solve for x.

a)

-6

b)

7

c)

12

d)

-11

90.

Find the missing side.

a)

9.4 km

b)

8.8 km

c)

1.9 km

d)

12.9 km

91.

Solve for x.

a)

4

b)

-6

c)

-4

d)

6

92.

Solve for x.

a)

5

b)

-2

c)

4

d)

12

93.

Solve for x.

a)

3

b)

5

c)

6

d)

8

94.

a)

-P

b)

b - a

c)

-b - a

d)

a - b

95.

a)

-1/2 a - 1/2 b

b)

1/2 a - 1/2 b

c)

1/2 a - b

d)

b - 1/2 a

96.

a)

b - 1/2 a

b)

1/2 a - b

c)

1/2 (a + b)

d)

1/2 (b - a)

97.

a)

-p - r

b)

r - p

c)

p + r

d)

-2p - r

98.

a)

r

b)

p

c)

2p

d)

-p

99.

a)

r - p

b)

-p + 1/2 r

c)

r - 1/2 p

d)

1/2 r + p

100.

a)

1/2 p + 1/2 r

b)

1/2 p - 1/2 r

c)

1/2 r - 1/2 p

d)

p - 1/2 r

101.

a)

p

b)

-p

c)

-1/2 p

d)

-1/4 p

102.

a)

-a - 3b

b)

b + 3a

c)

3a - b

d)

-3a - b

103.

a)

b - c + 3a

b)

3a + b + 3c

c)

3a + b - 3c

d)

b - 2c + 3a

104.

a)

-c - 2a

b)

2c + a

c)

c - 2a

d)

2a - c

105.

a)

-2a - c

b)

c - 2a

c)

c + 2a

d)

-a - 2c

106.

a)

2a - 2b

b)

a - b

c)

2a + 2b

d)

a - 2b

107.

a)

b - a

b)

a + 5b

c)

a + b

d)

a - b

108.

a)

3b + a

b)

-3b + a

c)

3b - a

d)

2a + 2b

109.

a)

a + 4b

b)

b - 2a

c)

-2b - a

d)

a - 2b

110.

a)

2a + b

b)

3a + b

c)

3a - b

d)

a - b

111.

a)

b

b)

a

c)

3a

d)

-b

112.

a)

ab

b)

b + a

c)

3a + b

d)

4a

113.

a)

a

b)

b

c)

2a

d)

-a

IGCSE Math Ch10 Vectors and Polygons

Total questions: 113

Worksheet time: 2hrs 15mins

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