Expressions with Exponents Worksheets Grade 6

1. Liam is creating a scale model of his city where 2 centimeters represents 75 meters in real life. If the actual distance between the city hall and the fire station is 450 meters, how many centimeters apart should these two buildings be placed on Liam's model?
2. Liam is creating a scale model of his neighborhood where 1 centimeter represents 15 meters in real life. If the actual distance between the library and the school is 225 meters, how many centimeters apart should these two buildings be placed on Liam's model?
3. Maya is planning a community garden and needs to calculate how much soil to order. The garden area is rectangular, measuring 15.4 meters long by 8.2 meters wide. She needs soil to a depth of 0.3 meters. What volume of soil, in cubic meters, does Maya need to order for the garden?

…and 3 more problems

1. (-3)² × (5 + 15 ÷ 3) - 18 = ?
2. (-3)² + 2 × (15 - 20) ÷ 5 = ?
3. Emma draws a square on a coordinate grid. The corners of the square are at (3, 1), (7, 1), (7, 5), and (3, 5). She then shades a smaller square inside it, where each side of the smaller square is half the length of the larger square's side. What is the area of the shaded smaller square? Write your answer as an expression with an exponent, then evaluate it.

…and 3 more problems

1. Liam is creating a scale model of his city where 2 centimeters represents 75 meters in real life. If the actual distance between the city park and the museum is 450 meters, how many centimeters apart should these two landmarks be placed on Liam's model?
2. (-5)² - 3 × (12 - 15) ÷ 3 = ?
3. Mason is building a square-shaped community garden in his neighborhood park. Each side of the garden will be 12 meters long. To find the total area, Mason calculates the side length squared. However, the park committee also wants a smaller square flower bed inside the garden with a side length of 7 meters. Mason needs to know how much larger the area of the garden is than the area of the flower bed. What is the difference in their areas?

…and 2 more problems