2022 Released Items: Grade 6

• 81

• 121

• 243

• 327

A family traveled by car to visit a relative.

• The family traveled 114 miles on the route they used going to the relative’s home.

• The family used a different route returning from the relative’s home and traveled 156 miles.

• The car used a total of 12 gallons of gas.

On average, how many miles did the family travel for each gallon of gas the car used?

• 16.4

• 19

• 22.5

• 26

Jamal and Lucy each build model airplanes.

• Jamal had 10 model airplanes. After building some model airplanes last month, he had 18 model airplanes.

• Lucy also had some model airplanes. Last month, she built 12 model airplanes.

After that, she had 20 model airplanes.

Which statement describes the ratio of the number of model airplanes Jamal built last month to the number of model airplanes Lucy built last month?

• For every model airplane Jamal built, Lucy built 5 model airplanes.

• For every 2 model airplanes Jamal built, Lucy built 3 model airplanes.

• For every 2 model airplanes Jamal built, Lucy built 5 model airplanes.

• For every 7 model airplanes Jamal built, Lucy built 3 model airplanes

Mike buys 4 packs of baseball cards for a total of $8. Each pack contains 10 baseball cards. How much does Mike pay for each baseball card?

• $0.05

• $0.20

• $3.20

• $5.00

Mr. Li’s yard is in the shape of a square. Each side has a length of 40 feet. Mr. Li uses 20% of the area of the yard for a garden. What is the area, in square feet, of the garden in Mr. Li’s yard?

• 64

• 80

• 320

• 800

Which statement explains why −2x + 4y = 7 is not an expression?

• An expression cannot have an equals sign

• An expression cannot have an operation symbol.

• An expression cannot have any negative numbers.

• An expression cannot have more than one variable.

Which expression is equivalent to 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7?

• 2² × 3⁴ × 7²

• 2³ × 3⁴ × 7²

• 3² × 4³ × 2⁷

• 8³ × 81⁴ × 49²

Lynda builds a wooden box in the shape of a rectangular prism. The box has no cover. The box is 12 inches long, x inches wide, and 24 inches high. The expression below can be used to determine the surface area, in square inches, of the box.

48x + 12x + 2 • 288

What is the coefficient of the term in the expression that represents the area of the bottom of the box?

• 2

• 12

• 48

• 288

An inequality is shown below.

x < 20

Which equation has a solution that satisfies the inequality?

• 3/4x = 12

• x = 3³ – 7

• 21.2 = x – 12 1/ 2

• x = 2.2 • 6 + 2³

A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 2/3 of the whole pizza. Which equation represents a way to find the total number of slices that were in the whole pizza?

• 2/3 • x = 4

• 4 • x = 2/3

• 2/3 + x = 4

• x = 4 • 2/3