Ratio And Rates

1.

A unit rate is the rate for _____ unit of a given quantity.

Correct Answer
one
1
single
a single
only one
only 1

2.

All rates are ratios.

A.

True
B.

False

Correct Answer
A. True

3.

There are five boys and eight girls in Mr. Genious's math class. Put a checkmark next to the ratio that compares the number of boys to the number of girls in the class.

A.

8:5
B.

5 to 13
C.

5/8
D.

8/13
E.

5 + 8 = 13
F.

(5 to 8)/13

Correct Answer(s)
A. 8:5
C. 5/8

Explanation
You are comparing the number of boys (5) to the number of girls (8). Ratios can be expressed in the following formats: a to b, a/b (where b is not equal to 0), and a:b.

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4.

The table below shows how many pies each baker makes. Use the table to answer the following question: Which baker can make the most pies in 2 weeks?

A.

Jan
B.

Gil
C.

Rigby
D.

Kat

Correct Answer
C. Rigby

Explanation
A. Jan makes 10 pies per 5 days (or 2 pies/day). At the end of 2 weeks, Jan can make 2 x 14 (days) = 28 pies.
B. Gil makes 4 pies every 2 days (or 2 pies/day). This is the same rate as Jan so Gil can make 28 pies at the end of 2 weeks.
C. Rigby makes 12 pies (a dozen = 12 units) in 4 days (or 12/4 = 3 pies/day). At the end of 2 weeks, Rigby can make 3 x 14 (days) = 42 pies.
D. Kat makes 1 pie every 24 hours (or 1 pie/day). A the end of 2 weeks, Kat can make 1 x 14 (days) = 14 pies.
Rigby is the clear winner!

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5.

The image below shows two similar triangles. Which of the following statements about the side lengths of the two triangles are true? image taken from http://www.clarku.edu/~djoyce/trig/similar1.gif

A.

The lengths of the corresponding sides are always proportional.
B.

The lengths of the corresponding sides are always equal.
C.

The lengths of the corresponding sides are sometimes proportional.
D.

None of the above statements are true.

Correct Answer
A. The lengths of the corresponding sides are always proportional.

6.

Watch the video below. Supposed you are driving at the rate (in mph) mentioned in the video. Estimate the distance you can travel in 30 minutes.

A.

25 miles
B.

30 miles
C.

35 miles
D.

40 miles

Correct Answer
B. 30 miles