Fractions
Conversions and Dimensional Analysis
Word Problems
Scientific Notation
Area and Volume
100

Simplify 8/12

2/3

100

Convert 3 feet 7 inches to inches

43 inches

100

A movie ticket costs $18. How much will 9 tickets cost?

$162

100

 What is 4,000 in scientific notation?

4*10^3

100

The size of a tile used in a bathroom is 12 cm by 15 cm. Find the area of the tile in square cm.

180 cm squared

200

Add 1/5 + 2/7

17/35

200

Convert 2.5 kilograms to deckagrams

250 deckagrams

200

A recipe calls for 3/4 cup of sugar. If you make only 2/3 of the recipe, how much sugar do you need?

1/2 cup

200

What is 7.2*10^4 in standard form?

72,000

200

What is the volume of a cardboard box that measure 6 inches by 2 feet by 13 inches? Give your answer in cubic feet, and round to the nearest hundredth.

1.08 cubic feet

300

Multiply 3/5 * 10/9

2/3

300

A dog weighs 516 ounces. What is its weight in pounds?

Note: 1 pound = 16 ounces

32.25 pounds

300

A car is travelling at a speed of 26 miles per hour. The fastest human running speed ever recorded was 40.76 feet per second. Who is travelling faster?

The human is faster

26 mph = 38.1333 feet per second

300

Saudi Arabia spent $57 billion on their military in 2020. What is this number in scientific notation?

5.7*10^10

300

A puzzle has dimensions 1 foot 2 inches by 1 foot 6 inches. Find the area of the puzzle in square inches.

252 square inches

400

Add 5/6 + 2/9 + 1/3

25/18 or 1 and 7/18

400

Gemma set a new goal to walk 12,000 steps every day. If her step measures about 70 cm, how far does Gemma walk in a day in meters?

8400 m

400

A US banknote (e.g., $20) weighs about 1 gram. What is the weight in kilograms of $200,000 in $20 notes?

10kg

400

The wavelength of the visible color green is 0.00000057 meters. What is this number in Scientific notation?

5.7*10^(-7)

400

A garden box is 6 feet by 8 feet by 8 inches. Find the volume of the garden box in cubic yards. Round your answer to the nearest hundredth

1.19 cubic yards

500

Fatma’s baby drank 1/4, 5/6, 2/3, 1/3, then 1/5 of a bottle of milk today. The capacity of the baby bottle is 8-fluid ounces. How many fluid ounces did the baby consume? Enter your answer as a decimal number. Round your answer to the nearest fluid ounce.

18.27 fluid ounces

500

A medication is prescribed at 5 mg per kilogram of body weight. How many milligrams should a 70 kg person receive?

350 mg

500

Millie has a 2-L bottle of Coke. She fills her 150 mL cup each time she drinks some. How many of her cups can she drink? Round your answer to the nearest hundredth.

13 and 1/3 or 13.33 of Millie’s cup

500

Write 5.5 ×10^(−5) in decimal form

0.000055

500

A microwave oven sold in Guatemala measures 76.2 cm by 53.3 cm by 63.5 cm? (1 square inch = 6.4516 square centimeters).

  • Calculate the volume of the microwave in cubic centimeters.
  • Convert this volume to cubic inches. Round your answer to the nearest hundredth.

257,902.71 cubic centimeters = 15,738.19 cubic inches

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