Math 7 - Chapters 11 & 12 Test Review
Short Answer
Find the area of each parallelogram. Round to the nearest tenth if necessary. Show your work.
1. base = 19.4 km
height = 20 km
2. base = 18 yd
height = 4.2 yd
Find the area of each figure. Round to the nearest tenth if necessary. Show your work.
3. triangle: base, 7.9 mm; height, 9 mm
4. triangle: base, 4 km; height, 12.8 km
Find the area of each trapezoid. Round to the nearest tenth if necessary. Show your work.
5.
14.6 km
6.3 km
5.4 km
6. trapezoid: bases, 15.1 yd and 10 yd; height, 7.2 yd
Find the area and circumference of each circle. Round to the nearest tenth. Show your work.
7.
6.8 yd
8. radius = 16 yd
Find the area of each figure to the nearest tenth. Show your work.
9.
12 yd
12 yd
10.
7.3 ft
3.4 ft
14 ft
Find the surface area and volume of each rectangular prism. Round to the nearest tenth if necessary. Show
your work.
11.
3.2 mm
8 mm
10 mm
Find the surface area and volume of each cylinder. Round to the nearest tenth. Show your work.
12. diameter = 3.4 km
height = 9 km
Math 7 - Chapters 11 & 12 Test Review
Answer Section
SHORT ANSWER
1. ANS:
388 km2
Sample:
parallelogram: base, 5.4 ft; height, 6 ft
Use the formula A = bh.
A = 5.4(6) = 32.4 ft2
PTS: 1
DIF: Average
STA: MEA.2 | MEA.7
KEY: Area | Parallelograms
2. ANS:
75.6 yd2
Sample:
parallelogram: base, 5.4 ft; height, 6 ft
Use the formula A = bh.
A = 5.4(6) = 32.4 ft2
OBJ: 11-4.1 Find the areas of parallelograms.
TOP: Find the areas of parallelograms.
MSC: 1999 Lesson 1-7
PTS: 1
DIF: Average
STA: MEA.2 | MEA.7
KEY: Area | Parallelograms
3. ANS:
35.6 mm2
Sample:
triangle: base, 6 m; height, 15 m
Use the formula
.
OBJ: 11-4.1 Find the areas of parallelograms.
TOP: Find the areas of parallelograms.
MSC: 1999 Lesson 1-7
PTS: 1
DIF: Average
STA: MEA.2 | MEA.7
KEY: Area | Triangles
4. ANS:
25.6 km2
Sample:
triangle: base, 6 m; height, 15 m
Use the formula
.
OBJ: 11-5.1 Find the areas of triangles.
TOP: Find the areas of triangles.
MSC: 1999 Lesson 10-5
PTS: 1
DIF: Average
STA: MEA.2 | MEA.7
KEY: Area | Triangles
5. ANS:
63 km2
Sample:
OBJ: 11-5.1 Find the areas of triangles.
TOP: Find the areas of triangles.
MSC: 1999 Lesson 10-5
10 ft
5.5 ft
4 ft
Use the formula
.
PTS: 1
DIF: Average
OBJ: 11-5.2 Find the areas of trapezoids.
STA: MEA.2 | MEA.6
TOP: Find the areas of trapezoids.
KEY: Area | Trapezoids
MSC: 1999 Lesson 10-5
6. ANS:
90.4 yd2
Sample:
trapezoid: bases, 14 m and 9 m; height, 5.8 m
Use the formula
.
PTS: 1
DIF: Average
STA: MEA.2 | MEA.6
KEY: Area | Trapezoids
7. ANS:
C = 21.4 yd & A = 36.3 yd2
Sample:
OBJ: 11-5.2 Find the areas of trapezoids.
TOP: Find the areas of trapezoids.
MSC: 1999 Lesson 10-5
4 ft
Use the formula
. The radius is one half the diameter.
PTS: 1
DIF: Average
STA: MEA.2 | MEA.7
KEY: Area | Circles
8. ANS:
C = 100.5 yd & A = 804.2 yd2
Sample:
radius = 10 cm
Use the formula
.
OBJ: 11-6.1 Find the areas of circles.
TOP: Find the areas of circles.
MSC: 1999 Lesson 10-6
PTS: 1
DIF: Average
STA: MEA.2 | MEA.7
KEY: Area | Circles
9. ANS:
200.5 yd2
OBJ: 11-6.1 Find the areas of circles.
TOP: Find the areas of circles.
MSC: 1999 Lesson 10-6
Find the area of the square and the area of the semicircle. The total area will be the sum of these two areas.
Semicircle:
Square:
A = s2
A = 12(12) = 144 yd2
Total area:
A=
PTS: 1
DIF: Average
STA: MEA.2 | MEA.7
KEY: Area | Complex figures
10. ANS:
36.2 ft2
OBJ: 11-7.1 Find the areas of complex figures.
TOP: Find the areas of complex figures.
Break the figure up into a rectangle and a triangle. Then find the areas of each figure.
7.3 ft
3.4 ft
14 ft
Area of rectangle:
A = bh
A = 7.3(3.4)
A = 24.82 ft2
Area of triangle:
Total area:
ft2
PTS: 1
DIF: Average
STA: MEA.2 | MEA.7
KEY: Area | Complex figures
11. ANS:
S.A. = 275.2 mm² & V = 256 mm3
Sample:
OBJ: 11-7.1 Find the areas of complex figures.
TOP: Find the areas of complex figures.
6 mm
5.9 mm
8.1 mm
Use the formula V = Bh.
V = (8.1)(5.9)(6)
V = 286.74 mm3
PTS: 1
DIF: Average
STA: MEA.6 | MEA.8 | MEA.9
KEY: Volume | Prisms
12. ANS:
S.A. = 114.3 km² & V = 81.7 km3
Sample:
radius = 4 cm
height = 10.5 cm
Use the formula V = Bh.
PTS: 1
DIF: Average
STA: MEA.6 | MEA.8 | MEA.9
KEY: Volume | Cylinders
OBJ: 12-2.1 Find the volumes of rectangular prisms.
TOP: Find the volumes of rectangular prisms.
MSC: 1999 Lesson 12-2
OBJ: 12-3.1 Find the volumes of cylinders.
TOP: Find the volumes of cylinders.
MSC: 1999 Lesson 12-3