Shapes: Perimeter and Area
Shapes: Surface Area and Volume
2-D Composite Shapes
3-D Composite Shapes
Bonus Questions (not geometry)
100
A square has an area of 81cm2. What is the length of one of its sides?
9cm
100
A cube has a side length of 6m. What is its volume? (HINT: A cube's faces are all squares)
V = 216m3
100
Find the area of the shaded region (do NOT include the white region):
132m2
14x14 minus 8x8
100
The image shows the top of a wood block with a thickness (or height) of 4cm. What is the volume of the whole block?
192cm3
Break into two rectangular prisms, find volume of each (V = lwh), and add
100
Evaluate the following:
|-2| x 7 - (2+3)2
-11
200
A circle has a diameter of 42ft. Find its circumference.
(I will accept a decimal or a number in terms of pi.)
42πft
or
131.88ft
200
A cardboard box in the shape of a rectangular prism has the following dimensions:
l = 10in, w = 6in, h = 7in
How many square inches of cardboard were required to make this box?
SA = 344in2
200
Find the perimeter of the following shape:
22ft
200
A hotel swimming pool with a depth of 2m is shown from above. How many cubic meters of water can the pool hold?
108m3
Break into two rectangular prisms, find volume of each (V = lwh), and add
200
What is the greatest common factor of 36 and 48?
12
300
Find the area of a trapezoid with bases of 14m and 10m, and a height of 7m.
84m2
300
A soccer ball has a radius of 11cm. What is the volume of the ball? Round your answer to the nearest whole number.
5,572 cm3
300
Find the area of the shaded region:
92ft2
Area of the rectangle minus the area of the triangle
300
Find the surface area of the following solid:
8,000mm2
300
A bag of marbles contains 7 black marbles and 4 red marbles. When pulling one marble from the bag, what is the probability it will be a black marble?
7/11
400
A rectangle has a length of 7cm and an area of 42cm2. Find its perimeter.
P = 26cm
400
A cone has a radius (r) of 3in, and a slant height (s) of 12in. What is the surface area of the cone? (Let π = 3.14)
141.3in2
400
Find the total area of the following shape:
2,220in2
50 x 30 + 10 x 50 + 22 x 10
400
An ice cream cone is topped with strawberry ice cream in a perfect semi-sphere (half of a sphere). What is the surface area of the whole treat? The numbers shown are in cm. (Let π = 3.14)
HINT: 10cm is the slant height (s)
178.98cm2
Surface area of a cone plus half the surface area of a sphere
400
Solve for y:
3(y - 7) + 2y - 4 = 25
y = 10
500
The radius of a circle is 0.25x + 7. Write an expression to represent its diameter.
0.5x + 14
Explanation: d=2r, so d = 2(0.25x + 7). Distributive property gives us the answer.
500
A cylinder has a radius of 5in, and a volume of 706.5in3 (let π = 3.14).
What is the height of the cylinder?
h = 9in
500
Find the area of the shaded region (let π = 3.14)
54.88m2
Area of the rectangle minus the area of the half circle
500
A cylindrical smoke stack rests on top of a factory building, represented by the picture below. Find the combined volume of the building and the smoke stack. (Let π = 3.14)
6,042.6m3
Calculate volume of the rectangular prism and add the volume of the cylinder; cylinder's radius is 3m, diameter is 6m
500
Veronica scored a 75 and a 71 on her first two exams. To raise her mean score to an 80, what grade does she need to earn on her third test?
94