Expressions with Exponents Worksheets Grade 6

1. 5³ + 10² = ?
2. Noah is designing a square-shaped community garden. Each side of the garden will measure 9 meters. He wants to know the total area of the garden in square meters. Write an expression using an exponent to represent the area, then evaluate it.
3. Hana is designing a square mosaic for a school art project. She draws a square on a coordinate grid with corners at (11, 7), (19, 7), (19, 15), and (11, 15). Inside the square, she places a small circular tile at the center with a radius of 2 units. Hana wants to cover the area of the square not covered by the circle with tiny glass beads. What is the area that needs to be covered with beads? (Use π = 3.14)

…and 3 more problems

1. (-3)² × (5 + 15 ÷ 3) - 18 = ?
2. Kaia is designing a square mosaic tile for an art project. She draws a square on a coordinate grid with corners at (10, 12), (19, 12), (19, 21), and (10, 21). Inside the square, she paints a circular pattern with a radius of 3 units. What is the area of the square that is NOT covered by the circle? Use π = 3.14.
3. Sophia is designing a square mosaic for an art project. She draws a large square on a grid, where each side is 7 units long. Inside the square, she places a smaller square at the center. The side length of the smaller square is 2 units. What is the area of the large square that is NOT covered by the smaller square? (Hint: Write an expression using exponents to find both areas, then subtract.)

…and 2 more problems

1. Isabella is helping her school's art club create a large mosaic for the hallway wall. The mosaic will be a perfect square with a side length of 27 inches. She needs to calculate the total area of the mosaic to know how many tiles to buy. Each small tile covers 1 square inch. Write an expression using an exponent to represent the area of the mosaic, then evaluate it to find how many tiles Isabella needs.
2. Emma is designing a square garden in her backyard. She draws the garden on a coordinate grid with corners at (0, 0), (15, 0), (15, 15), and (0, 15). Inside the garden, she places a square flower bed whose side length is 5 units. What is the area of the garden that is NOT covered by the flower bed? (Hint: Write an expression using exponents to find the areas.)
3. Noah is building a square patio using square tiles. The patio has a side length of 9 feet. Each tile is a square with a side length of 1 foot. Noah decides to create a decorative border around the patio by placing a row of special tiles along the outer edge. The rest of the patio will be filled with plain tiles. Write an expression using exponents to represent the number of plain tiles needed, and then evaluate it.