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math revision term 3 grade 9 y2023 exam1

Total questions: 109

Worksheet time: 3hrs 1mins

Name
Class
Date
1.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
2.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
3.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
4.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
5.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
6.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
7.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
8.
Find the missing side
a)
37
b)
17.66
c)
6
d)
312
9.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
10.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
11.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
12.
The pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
13.

What is the value of "x" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

14.

What is the value of "y" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

15.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

16.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

17.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

18.

Consider angle B in the diagram below.

What is the length of "opposite side" to angle B?

a)

6

b)

8

c)

10

d)

not possible to determine

19.

Consider angle B in the diagram below.

What is the length of "adjacent side" to angle <B?

a)

6

b)

8

c)

10

d)

not possible to determine

20.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

21.

How would you find "x" in the diagram?

a)

Multiply 15 by 2.

b)

Divide 15 by 2.

c)

Multiply 15 by √3.

d)

Divide 15 by √3.

22.

Which inverse trig function would you use to find the measure of Angle A?

a)

inverse sine

b)

inverse cosine

c)

inverse tangent

d)

It is not possible to determine m<A

23.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

a)

True

b)

False

24.

Which expression is correct for "y"?

a)

y = tan–1(31/23)

b)

y = sin–1(31/23)

c)

y = cos–1(31/23)

25.

Which is the best strategy to use for finding the length of the missing side?

a)

sine

b)

cosine

c)

tangent

d)

Pythagorean Theorem

26.

How would you find the value of the angle denoted by "?"

a)

Apply the inverse sine

b)

Apply the inverse cosine

c)

Apply the inverse tangent

d)

Apply the Pythagorean Theorem

27.

Which trig ratio or function should you use to find the value of "h"?

a)

sine

b)

cosine

c)

tangent

d)

an inverse trig function

28.

Which trig ratio or formula should you use to find "b"?

a)

sin(25)

b)

cos(25)

c)

tan(25)

d)

Pythagorean Theorem

29.

Which trig ratio or formula should you use to find "c"?

a)

sin(25)

b)

cos(25)

c)

tan(25)

d)

Pythagorean Theorem

30.

How would you find "x" in this Special Right Triangle?

a)

Divide 10 by 2.

b)

Multiply 10 by 2.

c)

Multiply 10 by √3

d)

Divide 10 by √3

31.

What is the most efficient way to find "x"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem

32.

What is the most efficient way to find "y"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem

33.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Congruent

c)

Transformation

d)

Similar

34.

How is triangle ABC being translated to triangle A'B'C'?

a)

3 up , 8 left

b)

9 down , 4 right

c)

8 down , 4 right

d)

2 up , 3 left

35.

How would you translate point P to P'?

a)

Translate 2 units to the right and 8 units down

b)

Translate 3 units down and 2 units to the right

c)

Translate 8 units to the right and 2 units down

d)

Translate 4 units down and 4 units to the left

36.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-4, -5)

c)

(4, 4)

d)

(-1, 5)

37.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 8 units to the right and 5 units down

b)

Translated 5 units to the right and 8 units down

c)

Translated 5 units to the right and 5 units down

d)

Translated 6 units to the right and 5 units down

38.

Identify the transformation vector from ABC to A'B'C'.

a)
b)
c)
d)
39.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

right 2, down 9

b)

left 2, up 9

c)

left 2, down 5

d)

left 3, down 5

40.

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

41.

a)

2 left, 6 down

b)

2 right, 6 down

c)

2 left, 6 up

d)

2 right, 6 up

42.

How would you describe the translation of the green shape to the red shape?

a)

3 right, 1 up

b)

3 up

c)

3 right, 4 up

d)

6 up

43.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

44.

Find K' if the figure is reflected across the x-axis

a)

(4, 1)

b)

(-4, 1)

c)

(4, -1)

d)

(1,4)

45.

Which answer shows a reflection across the x-axis?

a)

a

b)

b

c)

c

d)

d

46.

Identify the transformation from ABC to A'B'C'.

a)

90o clockwise rotation

b)

90o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

47.

If the dotted figure is the image, the original figure was reflected over the......

a)

x-axis

b)

y-axis

48.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(-3, -2)

c)

(3, 2)

d)

(3, -2)

49.

Flipping a figures is a ...

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

50.

Is the picture being reflected in the y-axis or x-axis?

a)

x-axis

b)

y-axis

51.

What is a reflection?

a)

When you turn an object around a point.

b)

When you slide an object form one place to another.

c)

When you flip or mirror an object across a line.

d)

When you resize an object.

52.

Which graph shows the pre-image reflected over y-axis?

a)
b)
c)
d)
53.

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(3,-1)

b)

(-1,3)

c)

(-3,1)

d)

(-1,-3)

54.

How many degrees was the figure rotated?

a)

180 degrees clockwise

b)

90 degrees counter clockwise

c)

180 degrees counter clockwise

d)

90 degrees clockwise

55.

What is the angle of the clockwise rotation?

a)

180°

b)

270°

c)

90°

d)

45°

56.

Which of the following shows rotation?

a)
b)
c)
d)
57.
a)

J'(–3, –4), K'(–6, –4), L'(–4, –3), M '(–1, –3)

b)

J'(–4, –3), K'(–4, –6), L'(–3, –4), M '(–3, –1)

c)

J'(–4, 3), K'(–4, 6), L'(–3, 4), M '(–3, 1)

d)

J'(4, –3), K'(4, –6), L'(3, –4), M '(3, –1)

58.

a)

T'(–3, 4), V'(–5, 5), W'(–5, 2), X'(–3, 1)

b)

T'(3, 4), V'(5, 5), W'(5, 2), X '(3, 1)

c)

T'(4, –3), V'(5, –5), W'(2, –5), X'(1, –3)

d)

T'(–3, –4), V'(–5, –5), W'(–5, –2), X '(–3, –1)

59.

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(-3, 1)

c)

(3, -1)

d)

(3, 1)

60.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

61.

The image A'B'C' is a rotation of ABC.

a)

True

b)

False

62.

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

63.

What is the area of the parallelogram above?

a)

13 cm2

b)

28.5 cm2

c)

45.6 cm2

d)

40 cm2

64.
a)

16 in2

b)

64 in2

c)

12 in2

d)

32 in2

65.

What is the area?

a)

28 units2

b)

35 units2

c)

14 units2

d)

35 units2

66.

What is the area of the parallelogram?

a)

63 cm2

b)

72 cm2

c)

56 cm2

d)

32 cm2

67.

Find the area of the parallelogram.

a)

13 units2

b)

10 units2

c)

12 units2

d)

6 units2

68.

Find the area:

a)

13 in2

b)

20 in2

c)

26 in2

d)

40 in2

69.

What is the area of this parallelogram?

a)

24 cm2

b)

48 cm2

c)

96 cm2

d)

64 cm2

70.

What is he area of this parallelogram?

a)

90 in2

b)

150 in2

c)

135 in2

d)

145 in2

71.

What is the area of this parallelogram?

a)

56 cm2

b)

32 cm2

c)

28 cm2

d)

64 cm2

72.
Find the area of the figure.
a)
10 cm2
b)
24 cm2
c)
12 cm2
d)
20 cm2
73.

Find the area.

a)

25 in2

b)

70 in2

c)

80 in2

d)

56 in2

74.

Find the area.

a)

60 ft2

b)

55 ft2

c)

16 ft2

d)

28 ft2

75.

What is the area of this polygon?

a)

21 m2

b)

42 m2

c)

13 m2

d)

25 m2

76.

What is the area of this polygon?

a)

36 mm2

b)

18 mm2

c)

26 mm2

d)

45 mm2

77.
Find the area:
a)
2 in2
b)
15 in2
c)
25 in2
d)
50 in2
78.

find the area

a)

19.5 m2

b)

78 m2

c)

39 m2

d)

27 m2

79.

What is the area of this trapezoid?

a)

320 square centimeters

b)

416 square centimeters

c)

448 square centimeters

d)

560 square centimeters

80.
What is the area of this trapezoid?
a)
16cm 2
b)
24cm2
c)
16 cm
d)
13cm 2
81.
Determine the area of the trapezoid.
a)
160 cm2
b)
304 cm2
c)
80 cm2
d)
152 cm2
82.

What is the area of this kite?

a)

320 square centimeters

b)

160 square centimeters

c)

36 square centimeters

d)

6336 square centimeters

83.

How do I label AREA?

a)

no labeling needed

b)

square units

c)

units

d)

cubed units

84.

Find the area of the kite in square feet.

a)

34

b)

68

c)

17

d)

18.5

85.

Find the area of the trapezoid in square yards.

a)

59.5

b)

119

c)

71.5

d)

40

86.

Find the area of the trapezoid in square meters.

a)

116.25

b)

58.125

c)

232.5

d)

742.5

87.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
88.
Find the area of the figure:
a)
30 ft2
b)
60 ft2
c)
16 ft2
d)
36 ft2
89.
What is the area?
a)
28 square units
b)
35 square units
c)
20 square units
d)
16 square units
90.
What is the area?
a)
56 square cm
b)
28 square cm
c)
32 square cm
d)
19 square cm
91.
If the area for this parallelogram is 21 square units, what is the height?
a)
4
b)
14
c)
7
d)
3
92.

Find the area of the kite in square centimeters.

a)

24

b)

48

c)

12

d)

67.5

93.

which segment above represents the diameter

a)

BC

b)

AC

c)

BD

d)

LM

94.

which segment above represents the radius

a)

AC

b)

AB

c)

LM

95.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

10

96.

what is the formula for finding area of a circle

a)

C = π r2

b)

A = π r2

c)

A = π r2 / 2

d)

C = 2 π r

97.

What part of the circle is present?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

98.

What part of the circle is present?

a)

diameter

b)

radius

c)

chord

d)

secant

99.
The perimeter of a circle is usually called the...
a)
radius
b)
diameter
c)
circumference
d)
area
100.
The only 2 dimensional measurement of a circle is the...
a)
radius
b)
diameter
c)
circumference
d)
area
101.
If a circle has a diameter of 16 ft. then which statement is true?
a)
The radius is 8 ft. 
b)
 The diameter is 8 ft
c)
The radius is 32 ft.
d)
The diameter is 32 ft.
102.
What is the area of this circle?
a)
62.59
b)
113.1
c)
19.81
d)
28.27
103.

The top of a pickle jar has an opening with a radius of 8 centimeters. What is the circumference of the opening of the pickle jar to the nearest hundredth of a centimeter?

Use 3.14 for 𝜋.

a)

12.56 cm

b)

25.12 cm

c)

50.24 cm

d)

200.96 cm

104.
When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.
a)
40
b)
35
c)
55
d)
69
105.
a)

minor arc

b)

major arc

c)

semicircle

d)

half circle

106.
a)

minor arc

b)

major arc

c)

semicircle

d)

half circle

107.

Find the length of the arc to 2 decimal places.

a)

9.42cm

b)

150.80cm

c)

4.71cm

d)

18.85cm

108.

What is the area of the shaded region? Round to the nearest hundredth.

a)

4.71

b)

339.29

c)

9.42

d)

113.10

109.

Given circle P, the white arc has an angle measure = 130°, and PT = 18 cm.
Solve for area of the shaded sector.

a)

20.42 cm2

b)

650.31 cm2

c)

367.57 cm2

d)

36.13 cm2

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