AEA 267
Name ________________________________
2014 6th Grade Math Bee
Geometry
I-3
Score
School _______________________________
Student Number___________________
Information you may need:
A = lw
1
A = bh
2
V = lwh
1
V= Bh
3
P = 2w + 2l
V = Bh
1 mile =
5280 feet
1. The area of this sign in the shape of a regular hexagon is 96.3 in2. What is
the total area of the two shaded regions?
1. ________________
in2
2. David needs to purchase an air purifier for rectangular office space and
needs to determine the volume of the air inside. Below is a sketch of the
office space. How many cubic feet of air is in the entire office? (Round your
answer as a mixed number.)
2. ________________
feet3
9
2
ft
3
24
1
ft
4
15 ft
3. Abby is making a decoration. When folded, the decoration is a triangular
pyramid made of four congruent equilateral triangles. What is the surface
area of Abby’s decoration?
3. ________________
in2
4. Isabella bought a pyramid-shaped crystal. Its rectangular base measures 9
cm by 8 cm and has a total surface area of 276 cm2. What is the slant
height of the crystal?
4. ________________
cm
5. A rectangular rug has an area of 28 ft2 and a length of 7 feet. What is the
width?
5. ________________
feet
6. Find the area of the quadrilateral.
6. ________________
units2
7.
A fish tank measuring 20 cm x 20 cm x 16 cm is filled
will be the volume of the water in the tank?
3
of the way, what
4
7. ________________
cm2
8. Two similar rectangles are shown. The ratio comparing the lengths of
their sides is 1:2. What is the ratio that compares their perimeters? (Write
your answer in the form provided.)
8.
9. If the points on the coordinate plane below are the 3 vertices of a
rectangle, what are the coordinates of the 4th vertex?
9. ________________
10. Mr. Vance is making a bedside stand for his son. The stand is a right
rectangular prism with the dimensions of the figure below. Mr. Vance
needs to figure out how much paint to buy. Assuming Mr. Vance paints all
the faces and it takes 1 oz of paint for every 20 square inches, how many
ounces of paint does Mr. Vance need?
______ : ______
10. ________________
ounces