Grade 7 Short Answer Problems by Strand
Number Sense
2008 Spring Release, Mathematics - Grade 7
Question 8: Short-Answer
Reporting Category: Number Sense and Operations
Standard: 7.N.9 - Select and use appropriate operations—addition, subtraction, multiplication, division, and positive integer exponents—to solve problems with rational numbers (including negatives). This standard is intentionally the same as standard 8.N.12.
The total cost for 80 students on a class trip to stay at a motel for 1 night was $1600. What was the cost, in dollars, for 1 student to stay at the motel for 1 night?
2007 Spring Release, Mathematics - Grade 7
Question 19: Short-Answer
Reporting Category: Number Sense and Operations
Standard: 7.N.9 - Select and use appropriate operations—addition, subtraction, multiplication, division, and positive integer exponents—to solve problems with rational numbers (including negatives). This standard is intentionally the same as standard 8.N.12.
All of the sweaters in a store are on sale for 10% less than the regular price. What is the sale price of a sweater with a regular price of $38?
2006 Spring Release, Mathematics - Grade 7
Question 8: Short-Answer
Reporting Category: Number Sense and Operations
Standard: 7.N.5 - Apply the rules of positive integer exponents to the solution of problems. Extend the Order of Operations to include positive integer exponents.
What is the value of the expression below?
(7 − 4)2
Patterns Relations and Algebra
2009 Spring Release, Mathematics - Grade 7
Question 4: Short-Answer
Reporting Category: Patterns, Relations, and Algebra
Standard: 7.P.2 - Evaluate simple algebraic expressions for given variable values, e.g., 3a2 - b for a = 3 and b = 7. This standard is intentionally the same as standard 8.P.2.
What is the value of the expression below, when n = 3?
2.5n + 6
2008 Spring Release, Mathematics - Grade 7
Question 20: Short-Answer
Reporting Category: Patterns, Relations, and Algebra
Standard: 7.P.4 - Solve linear equations using tables, graphs, models, and algebraic methods.
Friday’s basketball game was attended by 160 AdamsMiddle School students, which was of the total student population. This relationship is represented in the equation below, where p stands for the total student population.
p = 160
What is the total student population of AdamsMiddle School?
2007 Spring Release, Mathematics - Grade 7
Question 8: Short-Answer
Reporting Category: Patterns, Relations, and Algebra
Standard: 7.P.5 - Identify, describe, and analyze linear relationships between two variables. Compare positive rate of change, e.g., y = 3x + 1, to negative rate of change, e.g., y = -3x + 1.
Total Cost of Tickets
Number ofTickets
(t) / Total Cost in
Dollars
(c)
1 / 5
2 / 10
3 / 15
4 / 20
Write an equation that represents the relationship between t and c for the data shown in the table.
2007 Spring Release, Mathematics - Grade 7
Question 20: Short-Answer
Reporting Category: Patterns, Relations, and Algebra
Standard: 7.P.4 - Solve linear equations using tables, graphs, models, and algebraic methods.
What value of x makes the equation below true?
5x – 1 = 19
2006 Spring Release, Mathematics - Grade 7
Question 7: Short-Answer
Reporting Category: Patterns, Relations, and Algebra
Standard: 7.P.1 - Extend, represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic expressions. Include arithmetic and geometric progressions, e.g., compounding. This standard is intentionally the same as standard 8.P.1.
Each step in the pattern below is made up of congruent small squares.
If the pattern continues by adding a row of 6 congruent small squares for each additional step, what is the total number of congruent small squares in Step 6 of this pattern?
2006 Spring Release, Mathematics - Grade 7
Question 21: Short-Answer
Reporting Category: Patterns, Relations, and Algebra
Standard: 7.P.4 - Solve linear equations using tables, graphs, models, and algebraic methods.
What value of y makes the equation below true?
= 24
Geometry
2010 Spring Release, Mathematics - Grade 7
Question 15: Short-Answer
Reporting Category: Geometry
Standard: 7.G.2 - Classify figures in terms of congruence and similarity, and apply these relationships to the solution of problems. This standard is intentionally the same as standard 8.G.2.
Quadrilateral ABCD is congruent to quadrilateral GHEF, as shown in the diagrams below.
Which side of quadrilateral GHEF must be congruent to ?
2010 Spring Release, Mathematics - Grade 7
Question 16: Short-Answer
Reporting Category: Geometry
Standard: 7.G.4 - Graph points and identify coordinates of points on the Cartesian coordinate plane (all four quadrants).
Standard 7.G.4 is intentionally the same standard as 6.G.4, which is not currently being assessed at grade 6. Standard 7.G.4 will be assessed at grade 7.
Two sides and three vertices of a square are shown on the coordinate plane below.
What are the coordinates of the fourth vertex of the square?
2008 Spring Release, Mathematics - Grade 7
Question 7: Short-Answer
Reporting Category: Geometry
Standard: 7.G.3 - Demonstrate an understanding of the relationships of angles formed by intersecting lines, including parallel lines cut by a transversal. This standard is intentionally the same as standard 8.G.3.
Gina drew the kite shown below.
Name two of the numbered angles that must be congruent to each other.
2008 Spring Release, Mathematics - Grade 7
Question 19: Short-Answer
Reporting Category: Geometry
Standard: 7.G.1 - Analyze, apply, and explain the relationship between the number of sides and the sums of the interior angle measures of polygons.
A right triangle and some of its angle measures are shown below.
What is the value of x?
2007 Spring Release, Mathematics - Grade 7
Question 7: Short-Answer
Reporting Category: Geometry
Standard: 7.G.1 - Analyze, apply, and explain the relationship between the number of sides and the sums of the interior angle measures of polygons.
The figure below is a quadrilateral.
What is the value of x in the quadrilateral?
2007 Spring Release, Mathematics - Grade 7
Question 21: Short-Answer
Reporting Category: Geometry
Standard: 7.G.3 - Demonstrate an understanding of the relationships of angles formed by intersecting lines, including parallel lines cut by a transversal. This standard is intentionally the same as standard 8.G.3.
The figure below shows two intersecting lines.
Based on the given angle measure, what is the value of x?
2006 Spring Release, Mathematics - Grade 7
Question 20: Short-Answer
Reporting Category: Geometry
Standard: 7.G.1 - Analyze, apply, and explain the relationship between the number of sides and the sums of the interior angle measures of polygons.
The stage in the auditorium at WashingtonMiddle School is shaped like a quadrilateral with each of two angles measuring 110°, as shown in the diagram below.
In the drawing, 1 is congruent to 2. What is the degree measure of 1?
Measurement
2010 Spring Release, Mathematics - Grade 7
Question 7: Short-Answer
Reporting Category: Measurement
Standard: 7.M.3 - Demonstrate an understanding of the concepts and apply formulas and procedures for determining measures, including those of area and perimeter/circumference of parallelograms, trapezoids, and circles. Given the formulas, determine the surface area and volume of rectangular prisms and cylinders. Use technology as appropriate.
A rectangular prism and some of its dimensions are shown below.
The volume of the rectangular prism is 40 cubic inches. What is h, the height, in inches, of the rectangular prism?
Data, Statistics and Probability
2009 Spring Release, Mathematics - Grade 7
Question 10: Short-Answer
Reporting Category: Data Analysis, Statistics, and Probability
Standard: 7.D.1 - Select, create, interpret, and utilize the following tabular and graphical representations of data: circle graphs, Venn diagrams, stem-and-leaf plots, tables, and charts.
The Venn diagram below shows the numbers of students in Logan’s class who wore blue jeans, blue shirts, or a combination of both on Spirit Day.
What was the total number of students who wore blue shirts?
2008 Spring Release, Mathematics - Grade 7
Question 21: Short-Answer
Reporting Category: Data Analysis, Statistics, and Probability
Standard: 7.D.2 - Find, describe, and interpret appropriate measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data. Use these notions to compare different sets of data. This standard is intentionally the same as standard 8.D.3.
The table below lists the typical heights, in inches, of five types of herons found in Florida.
Florida Herons
Type / Height(in inches)
black-crowned night-heron / 26
great blue heron / 50
little blue heron / 27
tricolored heron / 26
yellow-crowned night-heron / 26
What is the range, in inches, of the heights of these herons?
2006 Spring Release, Mathematics - Grade 7
Question 19: Short-Answer
Reporting Category: Data Analysis, Statistics, and Probability
Standard: 7.D.2 - Find, describe, and interpret appropriate measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data. Use these notions to compare different sets of data. This standard is intentionally the same as standard 8.D.3.
The list below shows the ages of the students in Mario’s computer class.
15,13,12,14,12,14,15,13,14,16,14What is the range of the ages of the students in the class?