Discount
A T-shirt originally costs $20. It is on sale for 25% off. What is the sale price?
$15
The ratio of cats to dogs at a shelter is 3 to 2. If there are 12 cats, how many dogs are there?
8 dogs
What is 20% of 50?
Solution:
0.20×50=100.20 × 50 = 100.20×50=10
✅ Answer: 10
A car travels at 60 miles per hour for 2 hours. How far does it go?
Distance = Speed × Time
60×2=12060 × 2 = 12060×2=120
✅ Answer: 120 miles
A rectangle has length 8 ft and width 5 ft. What is its area?
Solution: Area = length × width = 8×5=40(square feet).
Answer: 40 ft²
A pair of shoes originally costs $80, but a store is offering 40% off. What is the amount saved?
$32
A recipe calls for a ratio of 2 cups of sugar to 5 cups of flour. If you have 15 cups of flour, how much sugar do you need?
6 cups of sugar
A shirt costs $40. It’s increased in price by 10%. What’s the new price?
Find 10% of 40 → 0.10×40=40.10 × 40 = 40.10×40=4
Add to the original price → 40+4=4440 + 4 = 4440+4=44
✅ Answer: $44
A train travels 180 miles in 3 hours. What is its average speed?
Speed = Distance ÷ Time
180÷3=60180 ÷ 3 = 60180÷3=60
✅ Answer: 60 mph
A right triangle has legs of 6 in and 8 in. Find the hypotenuse.
Use a²+ b²= c²
6²+ 8²= c²→ 36+64=c² → 100=c²
Take square root: c =sqrt{100} =10 in.
Answer: 10 in
A laptop that originally costs $600 is on sale for 20% off. During checkout, a 10% coupon is applied to the sale price. What is the final price?
$432
The ratio of men to women in a class is 4 : 5. If there are 36 students total, how many are men?
Total parts = 4+5=94 + 5 = 94+5=9
Each part = 36÷9=436 ÷ 9 = 436÷9=4
Men = 4×4=164 × 4 = 164×4=16
Answer: 16 men
A student answered 45 out of 60 questions correctly. What percentage did they get correct?
Solution:
45/60=0.75
0.75×100=75%
✅ Answer: 75%
A runner jogs at 6 miles per hour. How long will it take to run 9 miles?
Time = Distance ÷ Speed
9÷6=1.59 ÷ 6 = 1.59÷6=1.5 hours
Convert 0.5 hours → 30 minutes
= 1 hour 30 minutes
✅ Answer: 1 hour 30 minutes
A triangle has base 14 in and height 5 in. What is its area?
Area = 1/2×base×height=1/2×14×5=7×5=35in².
Answer: 35 in²
A jacket is regularly priced at $150. It goes on sale for 30% off, and there’s a sales tax of 8% applied after the discount. What is the total price after tax?
$113.40
A bag contains red, blue, and green marbles in the ratio 2 : 3 : 5. If there are 50 marbles total, how many are blue?
Total parts = 2+3+5=102 + 3 + 5 = 102+3+5=10
Each part = 50÷10=550 ÷ 10 = 550÷10=5
Blue marbles = 3×5=153 × 5 = 153×5=15
✅ Answer: 15 blue marbles
An item originally costs $80, but it’s on sale for $60. What is the percent decrease in price?
Change = 80−60=2080 - 60 = 2080−60=20
Percent decrease = 20/80×100=25%
✅ Answer: 25% decrease
A car travels 90 miles in 1.5 hours. What is its average speed?
Speed = Distance ÷ Time
90÷1.5=6090 ÷ 1.5 = 6090÷1.5=60
✅ Answer: 60 mph
A box measures 8 cm × 5 cm × 4 cm. What is its volume?
Volume = l×w×h=8×5×4=160
✅ Answer: 160 cm³
A store sells a bike with a list price of $500. The store first marks it up by 10%, then offers a 25% discount on the new price. What is the final price?
$412.50
A car’s gas to oil mixture must be in a ratio of 25:1. If you have 3 gallons of oil, how many gallons of gas are needed?
Cross multiply:
x=25×3=75x = 25 × 3 = 75x=25×3=75
✅ Answer: 75 gallons of gas
A store increases the price of an item from $80 to $92. What is the percent increase?
Percent increase = (92 − 80) ÷ 80 = 12 ÷ 80 = 0.15 = 15%.
A plane flies 300 miles with the wind in 2 hours, and 300 miles against the wind in 3 hours. What is the plane’s speed in still air?
Let p= plane’s speed, w=wind speed.
With wind: p+w=300÷2=150
Against wind: p−w=300÷3=100
Add equations:
2p=250→p=125
✅ Answer: 125 mph
A rectangle is 12 m long and 7 m wide. What is its perimeter?
Perimeter = 2(l+w)=2(12+7)=2(19)=38
✅ Answer: 38 m