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WorksheetsYear 9 revision Trig, Pythagoras, TSA and volume
Total questions: 90
Worksheet time: 3hrs 0mins
Name
Class
Date
1.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
2.
The ratio in a right triangle of adjacent to hypotenuse is _____
a)
sine
b)
cosine
c)
tangent
d)
inverse cosine
3.
Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
4.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
5.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
6.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
7.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
8.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
9.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
10.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?
against a building 5 feet away. What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building. What is the angle of elevation?
11.
Solve for x.
a)
10
b)
11.3
c)
12.0
d)
15.0
12.
Solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
13.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
14.
Solve for x.
a)
30°
b)
45°
c)
60°
d)
90°
15.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
16.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
17.
Identify the hypotenuse.
a)
x
b)
z
c)
w
18.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
19.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
20.
solve for c
a)
7
b)
9
c)
4
d)
13
21.
To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?
a)
35
b)
22
c)
58
d)
75
22.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
23.
Find x.
a)
35
b)
20
c)
8
d)
12
24.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
25.
Find the volume.
a)
24 cubic units
b)
28 cubic units
c)
12 cubic units
d)
20 cubic units
26.
Find the volume.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
27.
Which label would NOT be appropriate for volume?
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
28.
A cereal box is 12cm tall. The area of the base is 7cm. What is the volume?
a)
84 cm2
b)
84 cm3
c)
83 cm
d)
84
29.
length=2
width=2
height=3
width=2
height=3
a)
Volume=12 cubic units
b)
Volume=7 cubic units
c)
Volume=223 cubic units
d)
Volume=18 cubic units
30.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
31.
A cube has a length of 3 inches. Find the volume.
a)
9 inches3
b)
12 inches3
c)
27 inches3
d)
18 inches3
32.
Find the volume. The units are measured in centimeters.
a)
36 cm3
b)
36 cm2
c)
63 cm2
d)
63 cm3
33.
Each side of this ice cube measures 2 inches. What is the volume of the ice cube?
a)
6 cubic inches
b)
8 cubic inches
c)
12 cubic inches
d)
8 square inches
34.
What is the volume of the rectangular prism when it is fully packed if there are no gaps or overlaps in the unit cubes?
a)
15 cubic inches
b)
60 cubic inches
c)
30 cubic inches
d)
10 cubic inches
35.
Find the volume.
a)
26 inches3
b)
26 feet3
c)
26 units
d)
26 cubic units
36.
What is the volume?
a)
72 cubic units
b)
27 cubic units
c)
1.5 cubic units
d)
272 cubic units
37.
Find the volume.
a)
25 ft3
b)
126 ft2
c)
126 cubic feet
d)
11 cubic feet
38.
How many cubes with a side length of 1/2 unit would fit inside the prism?
a)
110 cubes
b)
20 cubes
c)
88 cubes
d)
880 cubes
39.
What is the area of the rectangle?
a)
15 square cm
b)
15 cm
c)
8 square cm
d)
16 cm
40.
What is the total area of the pink model?
a)
3
b)
4
c)
7
d)
12
41.
Maura drew a square. Each side measures 6 cm. What is the area of the square?
a)
24 sq cm
b)
36 sq cm
c)
42 sq cm
d)
48 sq cm
42.
1. In order to find the area of a figure you must
a)
add up all the sides.
b)
multiply length times width.
c)
count each square unit inside the figure.
d)
multiply length times width or count each square unit inside the figure.
43.
4. What is the area of the shaded portion?
a)
10 square units
b)
13 square units
c)
30 square units
d)
20 square units
44.
3. A rectangle made using 1 inch tiles is shown. What is the area of the actual rectangle?
a)
8 square inches
b)
15 square inches
c)
25 square inches
d)
10 square inches
45.
How do you find the area of a rectangle?
a)
Length + Length + Length + Length
b)
Length + Width
c)
Length x Width
d)
Width x Width
46.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
47.
What is the greatest number of units that will fit in the rectangle?
a)
30 units
b)
14 units
c)
21 units
d)
10 units
48.
a)
40 in2
b)
40
c)
40 in
d)
4 in2
49.
Find the area of the triangle pictured.
a)
22.5 cm2
b)
45 cm2
c)
15.75 cm2
d)
31.5 cm2
50.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
51.
Find the area of a triangle if the base is 3 and the height is 6.
a)
9 cm2
b)
18 cm2
c)
9 cm
d)
18 cm
52.
What is the base of a triangle if A = 40cm2 and h = 10cm.
a)
4
b)
5
c)
8
d)
2
53.
Alex is building a shelf shaped like a triangle. He wants the height to equal 8 and the area to equal 72. What will b equal?
a)
9 cm
b)
9 cm2
c)
18 cm
d)
18 cm2
54.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
55.
Find the area
a)
430 in2
b)
215 in2
c)
41.5 in2
d)
1.5 in2
56.
What is the area?
a)
12 cm2
b)
14
c)
14 cm2
d)
24 cm2
57.
a)
19.8 km2
b)
37.8 km2
c)
18.9 km2
d)
35 km2
58.
what is the area of a circle with the diameter of 10cm ?
a)
66cm
b)
78.5cm
c)
66.5cm
d)
10m
59.
What is the area of this circle?
a)
62.59
b)
113.1
c)
19.81
d)
28.27
60.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
61.
The area of a rectangle is 72 sq units. One side length is 9 units. What is the other side length?
a)
9 units
b)
7 units
c)
10 units
d)
8 units
62.
The area of a Triangle is 37.5 square inches. The base is 14.2 inches. What is the height?
a)
532.5 inches
b)
266.25 inches
c)
2.64 inches
d)
5.28 inches
63.
Is surface area.......
a)
Filling in a 3 dimensional shape
b)
wrapping the outside of a 3 dimensional shape
64.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
65.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
66.
Find the surface area of the rectangular prism with the following dimensions:
length = 9 m
height = 10 m
width = 12 m
length = 9 m
height = 10 m
width = 12 m
a)
630 m squared
b)
636 m squared
c)
710 m squared
d)
1080 m squared
67.
What is surface area?
a)
The measure of the amount of space inside of a solid figure
b)
The sum of all the areas of all the shapes that cover the object
68.
How do you find the AREA of a TRIANGLE?
a)
Length x Width divided by 2
b)
Length x width
c)
1/3 (Length x width)
d)
Base x Height
69.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
70.
Find the total surface area of the triangular prism
a)
92
b)
86
c)
106
d)
112
71.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
72.
What is the total surface area of the triangular prism shown?
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
73.
Find the total surface area of the prism.
a)
1,909,440 in2
b)
876 in2
c)
792 in2
d)
1,872 in2
74.
How many faces does this shape have?
a)
6
b)
3
c)
9
d)
5
75.
Find the area of the parallelogram.
a)
12 units2
b)
10 units2
c)
13 units2
d)
6 units
76.
What 3D solid does this net create?
a)
Rectangular Prism
b)
Rectangular Pyramid
c)
Cube
d)
Square Prism
77.
What shape is the base of this figure?
a)
Rectangle
b)
Triangle
c)
Square
d)
Trapezoid
78.
What 3D figure does this net form?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Pyramid
79.
What shape is the base of this figure?
a)
Triangle
b)
Rectangle
c)
Square
80.
Determine the total surface area of the figure.
a)
96 cm2
b)
84 cm2
c)
144 cm2
81.
Find the total surface area of the figure formed by the net.
a)
40 cm2
b)
48 cm2
c)
52 cm2
d)
62 cm 2
82.
Find the total surface area of the shape below.
a)
258 m2
b)
268 m2
c)
248 m2
d)
280 m2
83.
What is the total surface area of the triangular prism shown?
a)
960 cm2
b)
448 cm2
c)
256 cm2
d)
544 cm2
84.
What is the total surface area of the cylinder to the nearest square inch?
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
85.
What is the area of this circle?
a)
50.24 cm2
b)
50.265 cm2
c)
98.12 cm2
d)
200.96 cm2
86.
Find the lateral surface area of the cylinder.
a)
192π
b)
128π
c)
96π
d)
402π
87.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
88.
Find the length of hypotenuse c
a)
9.1
b)
41
c)
6.2
d)
6.4
89.
Find the surface area
a)
60.4 m2
b)
188.4 m2
c)
94.2 m2
d)
881.9 m2
90.
Find the Total Surface area of the cylinder.
a)
62.8m
b)
477.28 cm2
c)
235.5 cm3
d)
942 cm2
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