Percentages
Unit Rate
Speed & Time
Unit Conversion
Challenge Round
100

If there are 20 students in class and 4 are wearing sneakers, this percentage of students are wearing sneakers.

What is 20%?

4/20 *100 = 20%

100

A machine produces 240 widgets in 8 hours. This is the rate of widgets per hour.

What is 30 widgets per hour?

240 div8=30

100

A car travels 60 miles in 2 hours. This is its speed in miles per hour.

What is 30 miles per hour?

100

A hiking trail is 2.5 kilometers long. This is the trail's length in meters.

What is 2,500 meters?

100

The ratio of boys to girls in a class is 3:4. If there are 21 students total, this is the number of girls.

What is 12 girls?

200

Maya completed 40% of her 150-page book. This is the number of pages she read.

What is 60 pages?

40% of 150 = 40/100 × 150 = 0.4 × 150 = 60

200

If 3 apples cost $2.25, this is the cost per apple.

What is $0.75 per apple?

2.25div3

200

A cyclist rides 45 miles in 3 hours. At this constant speed, this is how far she travels in 5 hours.

What is 75 miles?

200

This is how many inches are in 4 yards.

What is 144 inches.

200

Calculate 27% of 67.

What is 18.09?

300

Carlos has saved $45, which represents 60% of the money he needs for a video game. This is the total cost of the game.

What is $75?

If 60% = $45 then 100% = 45/60 *100 = 75

300

Store A sells 5 pounds of rice for $7.50. Store B sells 3 pounds for $4.80. This store has the better unit price.

What is Store A?

7.50div5=$1.50per lb

4.80div3= $1.60 per lb

300

It takes Andre 4 minutes to swim 5 laps. 

This is how many minutes per lap.

This is how many laps per min.


What is 4/5 or 0.8 minutes per lap?


What is 5/4 or 1.25 laps per minute?

300

A football field is 100 yards long. A soccer field is 90 meters long. 1 meter ≈ 3.28 feet,  this field is longer.

What is the football field?

Soccer field: 90 meters = 295.2 feet

Football field: 100 yards =300 feet

300

A mixture uses 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using 35 teaspoons of blue paint, you need this much red paint.

What is 14 teaspoons?


400

A laptop normally costs $800. It goes on sale for 15% off, but then a 6% sales tax is added to the sale price. This is the final amount you pay.

What is $720.80?

15% off means you pay 85% 

Then calculate 6% sales tax and add that to get total

800*0.85=$680 

680 * .06=40.80

680+40.80=720.80

400

A factory produces 480 items in 12 hours. At this rate, this is how many items it produces in 45 hours.

What is 1,800 items?

12 480  =40 items per hour; 40 × 45 = 1 , 800 40×45=1,800 items

400

Maria walks to school at 4 mph and arrives in 15 minutes. After school, she walks home at 3 mph. This is how long it takes her to walk home.

What is 20 minutes?

Work: Distance to school = 4 mph × 15/

4 mph × 15/60 hours = 1 mi

1mi/3mph = 1/3hour = 20 min


400

A recipe serves 6 people and uses 450 grams of flour. To serve 15 people using pounds of flour (1 pound ≈ 454 grams), you need this amount.

What is about 2.5 pounds?

15 ÷ 6 = 2.5 times recipe; 450g × 2.5 = 1,125g; 1125g ÷ 454g/lb ≈ 2.5 lb

400

Calculate 38% of 41.

What is 15.58?

500

A shirt originally costs $80. After a 25% discount, then an additional 10% off the sale price, this is the final price you pay.

What is $54?

80*0.75=60

60*0.9=54

500

Printer A prints 15 pages in 2 minutes. Printer B prints 25 pages in 3 minutes. Working together for 12 minutes, this is the total number of pages they print.

What is 190 pages?

500

Two trains leave stations 240 miles apart at the same time, traveling toward each other. Train A travels at 60 mph and Train B travels at 80 mph. This is how long until they meet.

What is 1.71 hours (or 1 hour 43 minutes)?

Work: Combined speed = 60 + 80 = 140 mph; Time = 240/140=12/7≈1.71 hours

500

A pumpkin that weighs 3.2 kilograms, or a cat that weighs 9 pounds. This item weighs more.

(Note: 1 pound is about 0.45 kilograms.)

What is a cat?

The cat weighs 4.05 kg

9x0.45

500

Alex's running speed is such that he can run 3 miles in 24 minutes. At this same rate, he wants to run for exactly 1 hour. This is how far he will go, expressed as a mixed number.

What is 7½ miles?