Lesson 1: Practice Problems

Problem 1

Order from smallest to largest:

Number of pennies in a stack that is 1 ft high
Number of books in a stack that is 1 ft high
Number of dollar bills in a stack that is 1 ft high
Number of slices of bread in a stack that is 1 ft high

Problem 2

Use each of the numbers 4, 40, and 4000 once to make true statements.

The value of $\div 40.01$ is close to 1.
The value of $\div 40.01$ is much less than 1.
The value of $\div 40.01$ is much greater than 1.

Problem 3

Without computing, decide whether the value of each expression is much smaller than 1, close to 1, or much greater than 1.

$100 \div \frac{1}{1000}$
$50 \frac{1}{3} \div 50 \frac{1}{4}$
$4.7 \div 5.2$
$2 \div 7335$
$2, 000, 001 \div 9$
$0.002 \div 2, 000$

Problem 4 From Unit 2 Lesson 24

A rocking horse has a weight limit of 60 pounds.

What percentage of the weight limit is 33 pounds?
What percentage of the weight limit is 114 pounds?
What weight is 95% of the limit?

Problem 5

Compare using $>$ , $=$ , or $<$ .

0.7 0.70
$0.03 + \frac{6}{10}$ $0.30 + \frac{6}{100}$
0.9 0.12

Problem 6

Diego has 90 songs on his playlist. How many songs are there for each genre?

40% rock
10% country
30% hip-hop
The rest is electronica

Problem 7

A garden hose emits 9 quarts of water in 6 seconds. At this rate:

How long will it take the hose to emit 12 quarts?
How much water does the hose emit in 10 seconds?