NEW
Font size
S
M
L
XL
WorksheetsSimilar Shapes
Total questions: 50
Worksheet time: 2hrs 4mins
Name
Class
Date
1.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
2.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
3.
Triangle ABC and XYZ are similar, ABC is the copy and XYZ is the original shape. What is the scale factor or multiplier used to make the the smaller one larger?
a)
2
b)
½
c)
⅖
d)
5/2
4.
Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.
a)
20
b)
25
c)
100
d)
40
5.
Find missing side
a)
5
b)
7
c)
9
d)
11
6.
Find the length of x
a)
x = 1
b)
x = 2
c)
x = 7
d)
x = 1/7
7.
If the similarity ratio between two shapes is 3/5, then what is the ratio between the two shapes area?
a)
3/5
b)
5/3
c)
9/25
d)
25/9
8.
Find the area of this similar shape.
a)
50
b)
60
c)
48
d)
303.75
9.
Find the area of this similar shape.
a)
321
b)
384
c)
482
d)
379
10.
Find the volume of the similar shape.
a)
165.93
b)
1880.25
c)
1770
d)
1890
11.
How do you find the volume of this similar shape.
a)
19
b)
29.22
c)
27
d)
35
12.
How do you find the volume of this similar shape.
a)
19
b)
29.22
c)
27
d)
35
13.
Solve for X.
a)
36
b)
27
c)
45
d)
56
14.
Find the length of the missing side.
a)
7
b)
4
c)
6
d)
8
15.
What are the missing sides of the triangle?
a)
11 and 12
b)
13 and 11
c)
11 and 14
d)
13 and 12
16.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
17.
Are these figures similar?
a)
yes
b)
no
c)
i don't know
d)
not enough information
18.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
19.
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
20.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
21.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
22.
Evaluate x.
a)
35
b)
20
c)
8
d)
12
23.
The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.
a)
5.2 m
b)
5.3 m
c)
5.7 m
d)
5.8 m
24.
Does an 8, 15, 16 triangle have a Right Angle?
a)
Yes
b)
no
25.
Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?
a)
yes
b)
no
26.
If you add side a and b together... does it equal c?
a)
No Way
b)
Yes
c)
Maybe
27.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
28.
Use Pythagoras' Theorem to find c in this triangle:
a)
5.29
b)
10
c)
28
d)
100
29.
Find C
a)
13
b)
18
c)
19
d)
20
30.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
31.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
32.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
33.
Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?
a)
$827.52
b)
$831.10
c)
$839.45
d)
$846.80
34.
Ann puts $300 in a bank account earning 4% interest. How much will she earn in interest in 1 year?
a)
4
b)
8
c)
12
d)
16
35.
Change 6.75% to a decimal.
a)
67.5
b)
.675
c)
675
d)
.0675
36.
Write the decimal as a percent.
0.37
0.37
a)
37%
b)
3.7%
c)
.37%
37.
Josh ordered a pizza, he ate 3/4 of the pizza.
How much percentage of the pizza did he leave uneaten?
How much percentage of the pizza did he leave uneaten?
a)
1/4
b)
25%
c)
50%
d)
2/4
38.
What is 50% of £5?
a)
2.50
b)
£2.50
c)
£250
d)
£250.00
39.
Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
40.
What is 2/3 x 2/3
a)
4/9
b)
2/3
c)
4/3
d)
4/6
41.
1/2 x 3/4 (simplify if needed)
a)
3/8
b)
3/4
c)
4/6
d)
3/2
42.
6/11 x 5/6 (simplify if needed)
a)
15/33
b)
30/66
c)
11/17
d)
5/11
43.
18/45 simplifies to...
a)
6/15
b)
5/8
c)
2/5
d)
1/4
44.
45/55 simplifies to...
a)
9/11
b)
7/11
c)
4.5
d)
4/5
45.
3/7 x 7/3 (simplify if needed)
a)
21/3
b)
21/21
c)
7/21
d)
1
46.
Find the product.
a)
2/14
b)
1/49
c)
2/7
d)
1/14
47.
Find the product.
a)
9/24
b)
9/28
c)
6/32
d)
1/28
48.
Multiply 2/6 x 3/5
a)
1/5
b)
1 / 1
c)
1 / 6
d)
0
49.
1/2 x 4/5=
a)
4/5
b)
5/2
c)
2/5
d)
5/8
50.
3/8 x 2/3 =
a)
1/4
b)
9/16
c)
3/4
d)
1/6
Reset
