Factors & Multiples
Find the greatest common factor.
8,14
GCF = 2
A class has 8 boys and 16 girls. What is the ratio of boys to girls, in simplest form?
1:2
Write the following rate as a unit rate.
44 points in 4 quarters
11 points/1 quarter
Determine if the pair of rates is equivalent. Explain your reasoning.
$3 for 6 bagles
$9 for 24 bagels
No.
$0.50/1 bagel does not equal $0.38/ 1 bagel
Reasoning may be different but you should have PROOF they are not equal.
If 45 crackers will serve 15 students, how many crackers are needed for 30 students?
90 crackers
Find the least common multiple.
5, 6
LCM = 30
Divide 33 trading cards into two groups so that the ratio is 4 to 7.
How many are in the 1st group?
How many are in the 2nd group?
12 in the 1st group; 21 in the 2nd group
Write the following rate as a unit rate.
162 sodas in 9 cases
18 sodas/1 case
Determine if the pair of rates is equivalent. Explain your reasoning.
3 hours worked for $12
9 hours worked for $36
Yes.
9/36 = 9/36
**Reasoning may be different but needs to PROVE that they are the same.
Faith takes 4 breaths per 10 seconds at yoga. At this rate, how many breaths will Faith take in 2 minutes of yoga?
48 breaths
Find the greatest common factor.
21, 35, 49
GCF = 7
PetSmart has 36 puppies and 12 kittens available to adopt. What is the ratio of kittens to puppies, in simplest form?
HINT: Note the order. KITTENS to PUPPIES
1:3
Tom's dad bought a 8-pack of fruit punch Capri Suns at Target for $4. Find the unit rate for Capri Suns.
$0.50 for 1 Capri Sun
Mike can do 75 push-ups in 3 minutes. Elena can do 130 push-ups in 5 minutes. Are these rates equivalent?
No.
Mike: 25/ 1 min.
Elena: 26/ 1 min.
For a contest, 4 out of 65 people who visit Best Buy will recieve a free Wonder DVD. If 455 people were to visit Best Buy, how many Wonder DVDs would they give away?
28 DVDs
Find the least common multiple.
6, 12, 15
LCM = 60
Last month, Oliver ate 9 bananas, 5 apples, 4 oranges, and 7 peaches. Find the ratio of apples to the total number of fruit, in simplest form.
1:5
Sarah decorated 72 cookies in 36 minutes. How many cookies did she decorate per minute?
2 cookies per minute
Determine if the pair of rates is equivalent. Explain your reasoning.
16 out of 28 students own pets
240 out of 560 students own pets
No.
16:28 does not equal 240:560.
**Reasoning will be different. Make sure you have PROOF they are not equal.
If one out of every 12 students at school shares a locker, how many students share a locker in a school of 456 students?
38 students
Find the greatest common factor.
24, 40, 56
GCF = 8
Divide 28 cartons of milk into two groups so the ratio is 3 to 4.
How many are in the first group?
How many are in the second group?
12 in the 1st group; 16 in the 2nd group
An adult blinks about 450 times in 30 minutes. A 12 year old blinks about 150 times in 15 minutes. How many more times does an adult blink in 60 minutes than a 12 year old?
300 blinks
Rylee saved $35 in 5 weeks. Meghan saved $56 in 56 days. Are the rates at which each girl saves equivalent? Explain.
Yes.
$35/5 wk = $7/1 wk
$56/56 days = $7/1 wk
The ratio of red flowers to yellow flowers at the Six Flags enterence is 5 to 7. If there are 392 yellow flowers at the enterance, how many red flowers are there?
HINT: (Think of this like the 2 group problems with boxes)
Red: 5 boxes
Yellow: 7 boxes (THESE 7 BOXES = 292 YELLOW FLOWERS)
Figure out what each box is worth to solve for the number of red flowers.
280 red flowers
Explanation:
Each box would have had to equal 56
Red: 56 x 5 = 280
Yellow: 56 x 7 = 392