Number Theory
Using the divisibility rules, list the numbers that 72 is divisible by
1,2,3,4,6,8,9
Order from least to greatest:
−3, 5, −1, 2
-3<-1<2<5
A recipe uses 3/4 cup of sugar for one batch of cookies. You have 3 cups of sugar.
How many batches can you make?
4 batches
A car travels 24.6 miles on 1.2 gallons of gas.
What is the unit rate?
20.5 mpg
A shirt costs $40 and is on sale for 25% off.
What is the sale price?
$30
Find the greatest common factor (GCF).
18 and 24
6
The opposite of 9
-9
15.6 ÷ 0.3
52
Simplify the ratio.
8 : 12
2 : 3
Find 15% of 200
30
Find the least common multiple (LCM).
6 and 8
24
|−7| x |5|
35
3.75 + 6.48 − 2.9
7.33
Which is the better buy?
8 bottles of water for $4.80 OR 12 bottles for $7.80
8 bottles
18 is 30% of what number
60
18−3×4+6
12
A scuba diver is at −18 feet. He ascends 25 feet onto the shore. What is his current altitude?
7 ft above sea level
Everett wants to run 7 1/2 miles today. He was only able to run 3/5 of it. How far did he run?
4 1/2 miles
To make a fruit punch the ratio of cups of juice to cups of water is 6 to 2. How much water should I add to 30 cups of juice?
10 cups of water
A student answered 18 out of 24 questions correctly.
What percent of the questions did the student answer correctl
75%
What is the value of 5 cubed?
125
Compare using <, >, or =:
−6 ___ −2
<
5 1/3 - 2 7/8
2 11/24
Write an equation for this table:
x y
1 5
2 10
3 15
y = 5x
30 students brought lunch from home. This number is 40% of the grade. How many students are in the grade?
75