Math Practice Problems - Proportions 2

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Proportions 2 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=8, Mode=parallel

Find the value of 'n'.

Complexity=10, Mode=trapezoid

Find the value of 'n'.

Complexity=20

Find the value of 'n'.

Answers

Complexity=5, Mode=triangle

Find the value of 'n'.

Problem

Correct Answer

Your Answer

n =

Solution
The two triangles are similar because all their angles are the same but their side lengths are different. This means their corresponding sides are proportional.

Use corresponding sides to create a proportion.

11
n = 10
20 = 8
16

Solve the proportion for n.
11 × 16 = 8 × n
n = 22

Problem

Correct Answer

Your Answer

n =

Solution
The two triangles are similar because all their angles are the same but their side lengths are different. This means their corresponding sides are proportional.

Use corresponding sides to create a proportion.

8
72 = 11
99 = n
72

Solve the proportion for n.
n × 99 = 11 × 72
n = 8

Complexity=8, Mode=parallel

Find the value of 'n'.

Problem

Correct Answer

Your Answer

n =

Solution
The two triangles are similar because all their angles are the same but their side lengths are different. This means their corresponding sides are proportional.

Use corresponding sides to create a proportion.

n
33 = 7
21 = 8
24

Solve the proportion for n.
n × 24 = 8 × 33
n = 11

Problem

Correct Answer

Your Answer

n =

Solution
The two triangles are similar because all their angles are the same but their side lengths are different. This means their corresponding sides are proportional.

Use corresponding sides to create a proportion.

9
90 = 8
80 = n
60

Solve the proportion for n.
n × 80 = 8 × 60
n = 6

Complexity=10, Mode=trapezoid

Find the value of 'n'.

Problem

Correct Answer

Your Answer

n =

Solution
The two trapezoids are similar because all their angles are the same but their side lengths are different. This means their corresponding sides are proportional.

Use corresponding sides to create a proportion.

6
48 = 6
48 = 7
n = 10
80

Solve the proportion for n.
7 × 48 = 6 × n
n = 56

Problem

Correct Answer

Your Answer

n =

Solution
The two trapezoids are similar because all their angles are the same but their side lengths are different. This means their corresponding sides are proportional.

Use corresponding sides to create a proportion.

10
40 = 5
20 = 11
44 = n
40

Solve the proportion for n.
n × 20 = 5 × 40
n = 10

Complexity=20

Find the value of 'n'.

Problem

Correct Answer

Your Answer

n =

Solution
The two triangles are similar because all their angles are the same but their side lengths are different. This means their corresponding sides are proportional.

Use corresponding sides to create a proportion.

5
30 = 6
n = 6
36

Solve the proportion for n.
6 × 30 = 5 × n
n = 36

Problem

Correct Answer

Your Answer

n =

Solution
The two triangles are similar because all their angles are the same but their side lengths are different. This means their corresponding sides are proportional.

Use corresponding sides to create a proportion.

9
63 = n
42 = 9
63 = 10
70

Solve the proportion for n.
n × 70 = 10 × 42
n = 6

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