Rates & Unit Rates
Fractions, Decimals & Percentages
Ratios & Tables
Percent of a Number / Discount Problems
100
A car travels 120 miles in 3 hours.
What is the unit rate in miles per hour?
40 miles per hour.
Work: 120 ÷ 3 = 40
100
Which value is equivalent to 1/4?
A. 0.25
B. 0.4
C. 4%
D. 40%
A. 0.25 (1/4 = 0.25).
100
A drink mix uses 2 cups of water for every 1 cup of syrup.
What is a possible pair (water, syrup)?
A. (4, 2)
B. (2, 3)
C. (6, 1)
D. (1, 4)
A. (4, 2) — (4 cups water, 2 cups syrup) is a multiple of (2, 1).
100
What is 10% of 50?
A. 10
B. 5
C. 50
D. 0.5
B. 5. (10% of 50 = 5)
200
A cyclist rides 18 miles in 45 minutes.
How many miles does the cyclist ride per minute?
0.4 miles per minute.
Work: 18 ÷ 45 = 0.4
200
Write the fraction 12 / 50 as a percentage.
24%. Work: (12 / 50) × 100 = 24%.
200
A video game is 30% off. If the original price is $40, what is the discount amount?
$12. Work: 0.30 × $40 = $12.
300
A pump fills 84 gallons in 7 minutes.
Which rate is equivalent to the pump’s filling rate?
A. 12 gallons/min
B. 7 gallons/min
C. 10 gallons/min
D. 8 gallons/min
A. 12 gallons/min
Work: 84 ÷ 7 = 12
300
Which two values are equivalent to 2/5?
Options: 40% • 0.5 • 0.4 • 50%
0.4 and 40% (both equivalent to 2/5).
300
A painter mixes 5 cups of white paint for every 2 cups of blue paint.
Which ordered pair shows an equivalent ratio?
Options:
(15, 6) • (10, 3) • (20, 10) • (5, 5)
(15, 6).
Work: multiply (5, 2) by 3 → (15, 6).
300
A jacket is on sale for 25% off its original price of $60.
What is the amount of the discount?
A. $10
B. $12
C. $15
D. $20
C. $15. Work: 0.25 × $60 = $15.
400
A baker decorates 42 cupcakes in 14 minutes.
At this rate, how long will it take to decorate 210 cupcakes?
A. 50 min
B. 60 min
C. 70 min
D. 90 min
C. 70 min.
Work: Rate = 42 ÷ 14 = 3 cupcakes / min →
210 ÷ 3 =70.
400
In a class, 5 / 8 of the students bring their lunch.
Which percentage is equivalent to 5 / 8?
A. 62.5%
B. 58%
C. 60%
D. 80%
A. 62.5%.
Work: 5 / 8 = 0.625 = 62.5%.
400
For every 3 notebooks, a teacher buys 7 pencils.
If she buys 21 pencils, how many notebooks does she buy?
9 notebooks.
Work: 7 pencils ↔ 3 notebooks. For 21 pencils (3 × 7), notebooks = 3 × 3 = 9.
400
A tablet costs $125. It is discounted 40%.
What is the sale price?
A. $75
B. $65
C. $85
D. $90
A. $75. Work: 100% - 40% = 60%
0.60 x 125 = 75
500
A runner completes 1,250 meters in 250 seconds.
Which rate is equivalent to the runner’s speed?
A. 4 meters/sec
B. 5 meters/sec
C. 6 meters/sec
D. 3 meters/sec
B. 5 meters/sec.
Work: 1250 ÷ 250 = 5.
500
A model shows 21 shaded squares out of 30 squares total.
What percentage of the model is shaded?
A. 60%
B. 70%
C. 72%
D. 63%
B. 70%. Work: 21 / 30 = 0.7 = 70%.
500
A store increases the price of a backpack by 15%.
The original price is $80.
What is the new price?
A. $90
B. $92
C. $95
D. $98
B. $92. Work: Increase = 0.15 × 80 = $120. New price = 80 + 12 = $92