Category 3 Part A Spring Interim Questions 2024

What is the total surface area of the rectangular prism in square centimeters?

• A) 144 cm²

• B) 216 cm²

• C) 108 cm²

• D) 252 cm²

Measurements are shown in centimeters. What are the missing side lengths? Move the correct answer to each box. Not all answers will be used.

• 30 cm

• 6 cm

• 14 cm

• 10 cm

• 42 cm

Four triangles are shown. One side of each triangle lies on a ray. Based on these triangles, which statement about x is true?

• x = 70

• x = 115 - 70

• x = 1/2 (70)

• x = 180 - 115

Pentagon T was dilated with the origin as the center of dilation to create Pentagon Q. Which rule best represents the dilation that was applied to Pentagon T to create Pentagon Q?

• (x, y) → (3x, 3y)

• (x, y) → (3/2x, 3/2y)

• (x, y) → (x + 3, y + 3)

• (x, y) → (x + 2/3, y + 2/3)

What is the distance in units between M and N? Enter your answer in the space provided.

The dimensions of a cylinder in centimeters are shown in the diagram. Which expression can be used to find the volume of the cylinder in cubic centimeters?

• π (7) (8)

• π (3.5) (8)

The paths connecting three buildings on a college campus form a right triangle. The diagram shows the locations of these three buildings and some of the distances between them in feet. Which measurement is closest to the distance between the cafeteria and the science building in feet?

• A) 1,358.3 ft

• B) 584.0 ft

• C) 1,033.8 ft

• D) 915.0 ft

Quadrilateral MNPQ is dilated about the origin according to the rule (x, y) -> (3x, 3y) to create quadrilateral M'N'P'Q'. Which statement is true?

• The perimeter of quadrilateral M'N'P'Q' is 12 times the perimeter of quadrilateral MNPQ.

• The angle measures of quadrilateral M'N'P'Q' are 3 times the corresponding angle measures of quadrilateral MNPQ.

• The area of quadrilateral M'N'P'Q' is 3 times the area of quadrilateral MNPQ.

• The orientation of quadrilateral M'N'P'Q' is the same as the orientation of quadrilateral MNPQ.

Rhombus TUVW was rotated clockwise 90° to create rhombus T'U'V'W'. Which rule describes the transformation that was applied to rhombus TUVW?

• A) (x, y) → (x, -y)

• B) (x, y) → (-y, x)

• C) (x, y) → (-x, y)

• D) (x, y) → (y, -x)

A triangular prism and its dimensions are shown in the diagram. What is the total surface area of the prism in square centimeters?

• A) 540 cm²

• B) 420 cm²

• C) 660 cm²

• D) 600 cm²