Equivalent Ratios
Compare Ratios
Rates and Unit Rates
Customary Conversions
Metric Conversions
Metric and Customary Conversions
100
Create three ratios that are equivalent to 3:9.
Possible correct ratios:
1:3
6:18
9:27
12:36
15:45
100
A fruit stand has:
Box A: 6 apples and 3 oranges
Box B: 7 apples and 4 oranges
Which box has more apples compared to oranges?
✅ Box A has more apples compared to oranges
100
Which pay is equivalent to a rate of $18 per hour?
$54 for 3 hours
$90 for 6 hours
$144 for 9 hours
$72 for 5 hours
$54 ÷ 3 = 18 ✅
$90 ÷ 6 = 15
$144 ÷ 9 = 16
$72 ÷ 5 = 14.4
100
Complete the conversion.
6 lb = ____ oz
6 × 16 = 96 oz
100
Complete the conversion.
75 g = ____ mg
75,000 mg
100
Find the equivalent measure.
9 in. ≈ ____ cm
= 22.9 cm
200
The table shows the relationship between Liam’s earnings and the hours he worked.
What is the missing value?
Rate = $8 per hour
12 hours × 8 = 96
Answer: 96
200
At an amusement park, 30 riders ride the bumper cars every 20 minutes and 45 riders ride the pirate ship every 30 minutes.
Which ride will have more riders each hour and how many more?
Bumper cars:
30 riders every 20 min
In 60 min → 30 × 3 = 90 riders
Pirate ship:
45 riders every 30 min
In 60 min → 45 × 2 = 90 riders
Answer:
Neither ride; 0 more riders (They are equal.)
200
Find the value of m.
m = ______
5 seconds → 150 MB
Rate = 30 MB per second
2 seconds → 2 × 30 = 60
m = 60
200
Complete the conversion.
3.5 T = ____ lb
3.5 × 2,000 = 7,000 lb
200
Complete the conversion.
3,250 mL = ____ L
3.25 L
200
Find the equivalent measure.
12 gal ≈ ____ L
≈ 45.5 L
300
Find the number of boxes needed, x, for 60 granola bars.
x = ______
15 bars → 3 boxes
60 bars → x
60 ÷ 15 = 4
3 × 4 = 12
x = 12
300
A cashier is expected to complete 20 transactions every hour. In the past 15 minutes, she completed 4 transactions.
Assume she continues at the same rate. Will she meet her goal?
____ ; the cashier will complete ____ transactions in 1 hour.
4 transactions in 15 minutes
In 60 minutes: 4 × 4 = 16
Answer:
No; 16 transactions
300
Find the unit rate.
96 people
8 days
_____ people per day
96 ÷ 8 = 12 people per day
300
Complete the conversion.
54 ft = ____ yd
54 ÷ 3 = 18 yd
300
Complete the conversion.
4,800 dg = ____ g
480 g
300
Find the equivalent measure.
25 km ≈ ____ mi
≈ 15.5 mi
400
A teacher orders 7 notebooks for every 21 students.
If there are 63 students in the grade, how many notebooks are needed to keep the ratio the same?
7:21 = 21:63
21
400
Select the correct symbol to compare the rates.
29 miles in 25 minutes ____ 40 miles in 35 minutes
<,>,=
30 ÷ 25 = 1.16
40 ÷ 35 = 1.14
Answer: >
400
Determine which is the better buy.
4 pounds of pellets for $6.40
6 pounds of pellets for $9.90
The unit price for 4 pounds for $6.40 is $____ per pound.
The unit price for 6 pounds for $9.90 is $____ per pound.
_____ is the better buy.
4 lb for $6.40
6.40 ÷ 4 = $1.60 per pound
6 lb for $9.90
9.90 ÷ 6 = $1.65 per pound
Answer:
4 pounds for $6.40 is the better buy
400
Complete the conversion.
32 pt = ____ qt
32 ÷ 2 = 16 qt
400
Complete the conversion.
9,500 m = ____ km
9.5 km
400
Find the equivalent measure.
18 qt ≈ ____ L
1 qt ≈ ____ L
≈ 17.1 L
500
A smoothie recipe uses 2 cups of yogurt for every 5 cups of fruit.
You want to make a larger batch using 15 cups of fruit.
How many cups of yogurt will you need?
2:5 = 6:15
6
500
Two middle school basketball teams are practicing free throws.
Team A made 18 shots out of 24 attempts.
Team B made 25 shots out of 35 attempts.
Which team has the better free-throw success rate?
Team A:
18 out of 24
Simplify:
18 ÷ 6 = 3
24 ÷ 6 = 4
21/28
Team B:
25 out of 35
Simplify:
25 ÷ 5 = 5
35 ÷ 5 = 7
20/28
500
A school is preparing gift bags for a party.
Box A contains 12 red candies and 8 blue candies.
Box B contains 18 red candies and 15 blue candies.
Which box has a higher ratio of red candies to blue candies?
Find the ratio of red to blue candies in each box:
Box A: 12:8=3:2 (divide both numbers by 4)
Box B: 18:15=6:5(divide both numbers by 3)
Compare 3:2 and 6:5
Box A: 3÷2=1.5
Box B: 6÷5=1.2
✅ Box A has a higher ratio of red candies to blue candies.
500
A chef is making fruit punch for a party. Each pitcher holds 2 quarts of punch. The chef has 4 gallons of punch.
How many full pitchers can the chef fill using all the punch?
(Hint: 1 gallon = 4 quarts)
Convert gallons to quarts:
4 gallons×4 quarts per gallon=16 quarts
Divide total quarts by quarts per pitcher:
16÷2=8
✅ The chef can fill 8 full pitchers
500
A gardener is planting a row of flowers. Each flower needs to be spaced 50 centimeters apart. The row is 2 meters long.
How many flowers can the gardener plant in the row?
(Hint: 1 meter = 100 centimeters)
Convert the row length to centimeters:
2 meters×100=200 centimeters
Divide the total length by the spacing per flower:
200÷50=4
✅ The gardener can plant 4 flowers in the row.
500
A bakery receives a shipment of flour that weighs 5,500 pounds. The baker wants to know the weight in kilograms.
How many kilograms of flour did the bakery receive?
(Hint: 1 kilogram ≈ 2.2 pounds)
Convert pounds to kilograms, divide by 2.2:
5,500÷2.2=2,500 kilograms
✅ The bakery received 2,500 kilograms of flour.