grade 6 geometry quiz

Hello future math whiz! Ready to ace your geometry exam? This quick guide and practice quiz are designed to give you a solid review of Grade 6 geometry essentials. Let's get started!

Quick Study Guide

• 2D Shapes (Polygons):
  • Triangle: 3 sides, 3 vertices, 3 angles. Types: Equilateral (all sides/angles equal), Isosceles (2 sides/angles equal), Scalene (no sides/angles equal), Right (one $90^{\circ}$ angle), Acute (all angles $< 90^{\circ}$), Obtuse (one angle $> 90^{\circ}$).
  • Quadrilateral: 4 sides, 4 vertices, 4 angles. Examples: Square, Rectangle, Parallelogram, Rhombus, Trapezoid.
  • Perimeter: The total distance around the outside of a 2D shape. Add up all side lengths. For a rectangle with length $L$ and width $W$: $P = 2(L+W)$. For a square with side $S$: $P = 4S$.
  • Area: The amount of surface a 2D shape covers. For a rectangle: $A = L \times W$. For a square: $A = S \times S = S^2$.
• Angles:
  • Acute Angle: An angle less than $90^{\circ}$.
  • Right Angle: An angle exactly $90^{\circ}$ (like the corner of a square).
  • Obtuse Angle: An angle greater than $90^{\circ}$ but less than $180^{\circ}$.
  • Straight Angle: An angle exactly $180^{\circ}$ (a straight line).
• 3D Shapes (Solid Figures):
  • Faces: The flat surfaces of a 3D shape.
  • Edges: The lines where two faces meet.
  • Vertices: The corners where edges meet.
  • Common Shapes: Cube, Rectangular Prism, Triangular Prism, Pyramid, Cylinder, Cone, Sphere.
  • Volume of Rectangular Prism: $V = L \times W \times H$ (Length $\times$ Width $\times$ Height).
• Coordinate Plane:
  • Used to locate points using ordered pairs $(x, y)$.
  • The $x$-axis is horizontal, the $y$-axis is vertical.
  • Origin is $(0,0)$.

Practice Quiz

1. Question 1: A polygon with 4 equal sides and 4 right angles is called a:
   1. Rhombus
   2. Rectangle
   3. Square
   4. Trapezoid
2. Question 2: What is the perimeter of a rectangle with a length of $10$ cm and a width of $6$ cm?
   1. $16$ cm
   2. $32$ cm
   3. $60$ cm
   4. $20$ cm
3. Question 3: A square garden has a side length of $8$ meters. What is its area?
   1. $16$ square meters
   2. $32$ square meters
   3. $64$ square meters
   4. $8$ square meters
4. Question 4: An angle that measures $95^{\circ}$ is classified as an:
   1. Acute angle
   2. Right angle
   3. Obtuse angle
   4. Straight angle
5. Question 5: How many vertices does a cube have?
   1. 4
   2. 6
   3. 8
   4. 12
6. Question 6: A rectangular prism has a length of $5$ inches, a width of $3$ inches, and a height of $4$ inches. What is its volume?
   1. $12$ cubic inches
   2. $20$ cubic inches
   3. $45$ cubic inches
   4. $60$ cubic inches
7. Question 7: Which ordered pair represents the point located $3$ units to the right of the origin and $5$ units up?
   1. $(3, 0)$
   2. $(5, 3)$
   3. $(3, 5)$
   4. $(0, 5)$