# Geometry/ Algebra questions

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Math | Graded Assignment | Unit Test, Part 2 | Two-Dimensional Geometry
Name:
Date:
Unit Test, Part 2: Two-Dimensional Geometry
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 5 points)
1. Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail
on the second map is 6 cm.
(a) 1 cm on the first map represents 2 km on the actual trail. What is the scale factor from the map to the
actual trail? What is the length of the actual trail?
(b) A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. What is the
scale factor from the first map to the second map? What are the side lengths of the landmark on the
Copying or distributing without K12s written consent is prohibited.
Page 1 of 3
Math | Graded Assignment | Unit Test, Part 2 | Two-Dimensional Geometry
(Score for Question 2: ___ of 5 points)
2. Draw a right triangle with side lengths of 3, 4, and 5 units.
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Page 2 of 3
Math | Graded Assignment | Unit Test, Part 2 | Two-Dimensional Geometry
(Score for Question 3: ___ of 5 points)
3. At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a
radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
(a) Write and simplify an expression for the exact area of the sidewalk.
(b) Find the approximate area of the sidewalk. Use 3.14 to approximate p.
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Page 3 of 3
Math | Graded Assignment | Unit Test, Part 2 | Three-Dimensional Geometry
Name:
Date:
Unit Test, Part 2: Three-Dimensional Geometry
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. You have a solid cube of dough. Consider the cross sections that are formed when you slice into the cube as
described. Draw each slice and describe the resulting cross section.
(a) A slice through the center, parallel to a side.
(b) A slice that cuts through the left top edge and the right bottom edge.
(c) A slice that cuts across a corner through three sides of the cube.
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Math | Graded Assignment | Unit Test, Part 2 | Three-Dimensional Geometry
(Score for Question 2: ___ of 4 points)
2. A contractor is building a set of stairs out of concrete. Each stair is exactly the same length, width, and height.
(a) Which solid figures can the stairs be broken into? What are the dimensions of each solid figure?
(b) How much concrete will be needed to form the stairs?
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Page 2 of 3
Math | Graded Assignment | Unit Test, Part 2 | Three-Dimensional Geometry
(Score for Question 3: ___ of 5 points)
3. Leo made a container to store his camping gear. The container is in the shape of a rectangular prism. The
container has material covering all six sides.
(a) What is the capacity of the container?
(b) How much material was used to make the container?
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Math | Graded Assignment | Interim Test, Part 2 | Interim 3
Name:
Date:
Interim Test, Part 2: Interim 3
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Total score: ____ of 9 points
(Score for Question 1: ___ of 3 points)
1. Olaf has 250 files saved on an external hard drive. Of those files, 12% are photos.
(a) Write a percent equation to find the number of files that are photos.
(b) How many photos does Olaf have saved on his external hard drive?
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Page 1 of 3
Math | Graded Assignment | Interim Test, Part 2 | Interim 3
(Score for Question 2: ___ of 3 points)
2. Quan plans to spend less than \$80 for buying groceries. He plans to spend \$68.25 on food and spend the
rest on juice. Each juice carton costs \$3. He is curious how many juice cartons he can purchase before he
runs out of money.
(a) Use x to represent the number of juice cartons Quan can purchase and write an inequality that can be
used to solve for x.
(b) Solve the inequality. Use the solution to determine the number of juice cartons Quan can purchase.
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Page 2 of 3
Math | Graded Assignment | Interim Test, Part 2 | Interim 3
(Score for Question 3: ___ of 3 points)
3. Consider this figure of a hexagon.
(a) How is the hexagon represented by simpler polygons, and what are the dimensions of each of these
simpler polygons?
(b) Find the area of the complex polygon.
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Math | Graded Assignment | Unit Test, Part 2 | Statistics
Name:
Date:
Unit Test, Part 2: Statistics
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 2 points)
1. In a poll of students at the basketball championship, 82% of the students say that basketball is better than
football.
(a) Explain why it is not a valid conclusion to say that basketball is more popular than football at the
school.
(b) Suggest a better method of determining which sport is more popular.
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Math | Graded Assignment | Unit Test, Part 2 | Statistics
(Score for Question 2: ___ of 6 points)
2. Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months.
City A: {4, 3.5, 5, 5.5, 4, 2}
City B: {5, 6, 3.5, 5.5, 4, 6}
(a) What is the mean monthly rainfall amount for each city?
(b) What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth.
(c) What is the median for each city?
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Page 2 of 3
Math | Graded Assignment | Unit Test, Part 2 | Statistics
(Score for Question 3: ___ of 7 points)
3. A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there
randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds.
howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}
(a) Calculate the mean and MAD for each type of monkey.
(b) Calculate the means-to-MAD ratio for the two types of monkeys.
(c) What inference can be made about the weight of both types of monkeys? Explain.
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