Home Questions Geometry Geometry Questions & Answers For 6th Grade Students
Geometry Questions & Answers For 6th Grade Students
Geometry questions and answers suitable for 6th Grade students. The questions are Common Core aligned and follow the framework as set out. Available to see visually online. To utilise the PDF version please click the ‘Download PDF’ option.
Completely free to use and download. For more comprehensive end of 6th Grade question booklets please see our end of year test booklets.
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A rectangle has a length of 10 units and a width of 6 units. Decompose the rectangle into two congruent right triangles by drawing a diagonal. What is the area of one triangle in square units?
a) 16 square units
Correct Answers : c)
A trapezoid has a height of 8 inches, a shorter base of 5 inches, and a longer base of 12 inches. What is the area of the rectangle and the combined area of the two triangles in square inches? a) Rectangle: 40 in², Triangles: 32 in²
Correct Answers : c)
A rectangular polygon can be decomposed into several triangles and a rectangle, as shown in the diagram. Calculate the area of Triangle A, Rectangle B, and Triangle C in square units. a) Triangle A: 35 in², Rectangle B: 80 in², Triangle C: 14.75 in²
Correct Answers : b)
A rectangular prism has a length of 4 units, a width of 3 units, and a height of 2 units. How many 1/2 unit cubes will be needed to completely fill the prism?
a) 118 ½ unit cubes
Correct Answers : d)
Sarah is packing small gift boxes into a larger rectangular shipping box. The shipping box has a length of 3/4 foot, a width of 1/2 foot, and a height of 5/6 foot. What is the volume of the shipping box in cubic feet?
a) 1/3 cubic foot b) 1/4 cubic foot c) 5/16 cubic foot d) 5/8 cubic foot
Correct Answers : c)
You are given the following coordinates on a coordinate plane: A(2, 3), B(6, 2), C(6, 8), and D(2, 7). Connect the coordinates in the order A → B → C → D. Which of the following figures best represents the polygon formed by connecting these coordinates?
a) A square b) A rectangle c) A triangle d) A trapezoid
Correct Answers : d)
Julie is building a rectangular garden in her backyard. She places a wooden post at points A(3, 2), B(3, 5), C(7, 5), and D(7, 2) to form a rectangular fence. What is the length of one side of the fence, specifically side AD, in feet?
a) 2 feet b) 8 feet c) 10 feet d) 12 feet
Correct Answers : c)
Anna is designing a triangular roof for her treehouse. She places three wooden beams at points P(1, 3), Q(5, 3), and R(5, 7) to form a triangular roof structure. What is the perimeter of the triangular roof in feet?
a) ≈10.66 feet b) ≈11.66 feet c) ≈12.66 feet d) ≈13.66 feet
Correct Answers : d)
Sarah has a rectangular prism-shaped gift box. She wants to wrap the gift box with wrapping paper. Which of the following nets can she use to find the surface area of the gift box? a) Figure A
Correct Answers : a)
John is building a model of a triangular pyramid with a square base. Based on this illustration, what is the surface area of his triangular pyramid model? a) 16 square units
Correct Answers : c)
