Overview
No Questions Completed
No Reading or Writing Questions Answered 
No Math Questions Answered 
Reading

Math  No Calculator

Writing

Math  Calculator

Understanding Your Scores
Your composite score combines section scores in Math and EvidenceBased Reading and Writing. It does not include your essay score.
Your subscores are based on particular question types within each test section. These scores assess skills specific to the Reading test + Writing and Language test, Writing and Language test alone, and Math test alone. There are seven subscores in total. Four will be related to particular questions in the Reading and Writing Test: Words in Context, Command of Evidence, Expression of Ideas, and Standard English Conventions. The other three relate to specific types of questions on the Math Test: Heart of Algebra, Problem Solving and Data Analysis, and Passport to Advanced Math. These scores are on a scale from 1 to 15.
Subscores Breakdown  
Subscore Area  Correct  Incorrect  Omitted  Total  Score (115) 

Expression of Ideas  0  0  19  19  1 
Standard English Conventions  0  0  25  25  1 
Heart of Algebra  0  0  14  14  1 
Problem Solving and Data Analysis  0  0  17  17  1 
Passport to Advanced Math  0  0  16  16  1 
Words in Context  0  0  16  16  1 
Command of Evidence  0  0  18  18  1 
Your crosstest score for the sections below are based on your performance on specific questions across the different tests relating to specific types of content. These scores assess skills shared across the Reading and Writing and Math sections. There are two crosstest scores: Analysis in Science and Analysis in History/Social Studies. For example, your crosstest score in Analysis in Science will be based on your performance on questions relating to science passages on the Reading Test as well as questions using scientific data on the Math Test. These scores are on a scale from 10 to 40.
CrossTest Scores Breakdown  
CrossTest Scores  Correct  Incorrect  Omitted  Total  Score (1040) 

Analysis in History/Social Studies  0  0  30  30  10 
Analysis in Science  0  0  28  28  10 
Suggested Review
Look over any questions you answered incorrectly and try to solve them again. Did you just make some
avoidable errors, or did you get questions wrong because you did not know how to solve them? You can find
detailed answer explanations for these problems online.


Create a study plan and schedule for your PSAT preparation. Make sure you leave enough time to review and
practice each concept you'd like to improve as well as some time to refresh your memory on concepts you're
already familiar with.

Reading & Writing: Section Not Started 
Section  Correct  Incorrect  Omitted  Total  Scaled Score 

Reading  0  0  47  47  8 
Writing  0  0  44  44  8 
Reading Section Breakdown
Subject Area  Correct  Incorrect  Omitted  Total  

Information and Ideas 

0  0  32  32 
Rhetoric 

0  0  12  12 
Synthesis 

0  0  4  4 
Words in Context 

0  0  8  8 
Command of Evidence 

0  0  10  10 
Analysis in History/Social Studies 

0  0  19  19 
Analysis in Science 

0  0  19  19 
Answers  

Question: 
1  2  3  4  5  6  7  8  9  10  11  12  13  14 
Your Answer: 
                           
Correct Answer: 
D  C  A  D  C  A  C  D  D  A  B  A  C  C 
Topic: 
IE  IE  IC, E  RW  IE  IW, W  II  IC, E  II  IT  RV  IC, E  IW  IC, E 
Difficulty: 
2  1  3  3  3  4  3  3  4  2  3  5  3  3 
Question: 
15  16  17  18  19  20  21  22  23  24  25  26  27  28 
Your Answer: 
                           
Correct Answer: 
B  D  D  B  A  C  C  B  D  B  A  B  D  B 
Topic: 
IW, W  IW, W  RP  Q  Q  RV  IA  RW  RV  IC, E  IW, W  RE  IE  IC, E 
Difficulty: 
3  4  4  3  4  2  3  3  3  4  4  5  2  2 
Question: 
29  30  31  32  33  34  35  36  37  38  39  40  41  42 
Your Answer: 
                           
Correct Answer: 
D  A  B  B  D  D  C  A  D  A  B  C  C  D 
Topic: 
IW  RE  IC, E  II  IC, E  RP  IW, W  RP  RW, W  Q  IW, W  II  II  IC, E 
Difficulty: 
3  2  2  4  3  3  4  3  4  3  2  1  3  4 
Question: 
43  44  45  46  47  
Your Answer: 
          
Correct Answer: 
B  B  D  C  A  
Topic: 
RP  IC, E  II  IW, W  IR, M  
Difficulty: 
3  3  5  2  3 
Reading Questions Breakdown  

Category/Topic  Correct  Incorrect  Omitted  Total  
Information and Ideas 

0  0  32  32 
Direct Information (IE) 

0  0  4  4 
Vocabulary in Context (IW) 

0  0  9  9 
Describing Relationships (IR) 

0  0  1  1 
Implied Information (II) 

0  0  6  6 
Main Ideas (IT) 

0  0  1  1 
Finding Evidence (IC) 

0  0  10  10 
Similar Situation (IA) 

0  0  1  1 
Rhetoric 

0  0  12  12 
Author's Evidence (RE) 

0  0  2  2 
Purpose (RP) 

0  0  4  4 
Word Choice (RW) 

0  0  3  3 
Point of View (RV) 

0  0  3  3 
Synthesis 

0  0  4  4 
Comparing Passages (M) 

0  0  1  1 
Graphics (Q) 

0  0  3  3 
Words in Context 

0  0  8  8 
Words in Context (W)  
Command of Evidence 

0  0  10  10 
Command of Evidence (E)  
Analysis in History/Social Studies 

0  0  19  19 
History and Social Studies (AH)  
Analysis in Science 

0  0  19  19 
Science (AS) 
Writing Section Breakdown
Subject Area  Correct  Incorrect  Omitted  Total  

Expression of Ideas 

0  0  19  19 
Standard English Conventions 

0  0  25  25 
Words in Context 

0  0  8  8 
Command of Evidence 

0  0  8  8 
Analysis in History/Social Studies 

0  0  4  4 
Analysis in Science 

0  0  3  3 
Answers  

Question: 
1  2  3  4  5  6  7  8  9  10  11  12  13  14 
Your Answer: 
                           
Correct Answer: 
A  B  B  D  C  B  A  B  D  D  C  B  A  B 
Topic: 
SP  USV  PE*  DF, E  PW  PW  OT  EP, W  ET, W  ES  UC, E  UPA  SB  SP 
Difficulty: 
2  1  1  2  1  2  2  2  3  2  3  2  2  3 
Question: 
15  16  17  18  19  20  21  22  23  24  25  26  27  28 
Your Answer: 
                           
Correct Answer: 
B  D  C  D  C  A  C  A  C  D  D  A  B  C 
Topic: 
EP, W  UD  PW  EC  UC, E  OL  DQ, E  EC, W  SP  DF, E  UL  UC, E  UL  USV 
Difficulty: 
3  3  4  2  4  4  5  2  4  4  2  4  3  2 
Question: 
29  30  31  32  33  34  35  36  37  38  39  40  41  42 
Your Answer: 
                           
Correct Answer: 
A  B  C  B  D  B  D  C  B  C  C  A  A  C 
Topic: 
OL  OT  UF, W  SM  ET, W  UF, W  EP, W  SS  EC  UPC  OL  UC, E  UF  UC 
Difficulty: 
4  2  2  4  3  2  3  2  3  2  3  3  2  2 
Question: 
43  44  
Your Answer: 
    
Correct Answer: 
D  B  
Topic: 
OT  DF, E  
Difficulty: 
3  5 
* Question 3 covers topics PE, PW. 
Writing Questions Breakdown  

Category/Topic  Correct  Incorrect  Omitted  Total  
Expression of Ideas 

0  0  19  19 
Transitional Words and Sentences (OT) 

0  0  3  3 
Precise Word Choices (EP) 

0  0  3  3 
Concise Sentences (EC) 

0  0  3  3 
Style and Tone (ET) 

0  0  2  2 
Logical Sentence Order (OL) 

0  0  3  3 
Clear Sentences (ES) 

0  0  1  1 
Relevant Information (DF) 

0  0  3  3 
Graphic Analysis (DQ) 

0  0  1  1 
Standard English Conventions 

0  0  25  25 
Joining Sentences with Conjunctions (SS) 

0  0  1  1 
Punctuating a Sentence (PW) 

0  0  4  4 
Clear Pronouns (UPC) 

0  0  1  1 
Pronoun Agreement (UPA) 

0  0  1  1 
Matching Sentence Structures (SP) 

0  0  3  3 
Appropriate Prepositions (UC) 

0  0  5  5 
Ending a Sentence (PE) 

0  0  1  1 
Where to Put Descriptive Phrases (SM) 

0  0  1  1 
Verb Agreement (USV) 

0  0  2  2 
Confusing Words (UF) 

0  0  3  3 
Making Whole Sentences and Avoiding Runons (SB) 

0  0  1  1 
Making Possessives (UD) 

0  0  1  1 
Comparing Correctly (UL) 

0  0  2  2 
Words in Context 

0  0  8  8 
Words in Context (W)  
Command of Evidence 

0  0  8  8 
Command of Evidence (E)  
Analysis in History/Social Studies 

0  0  4  4 
History and Social Studies (AH)  
Analysis in Science 

0  0  3  3 
Science (AS) 
Math: Section Not Started 
Section  Correct  Incorrect  Omitted  Total  Scaled Score 

NoCalculator  0  0  17  17  
Calculator  0  0  31  31  16 
NoCalculator Section Breakdown
Subject Area  Correct  Incorrect  Omitted  Total  

Heart of Algebra 

0  0  8  8 
Passport to Advanced Math 

0  0  9  9 
Additional Topics in Math 

0  0  1  1 
Analysis in Science 

0  0  3  3 
Answers  

Question: 
1  2  3  4  5  6  7  8  9  10  11  12  13  14 
Your Answer: 
                           
Correct Answer: 
C  B  C  B  C  C  D  A  A  C  C  C  D  6 
Topic: 
H5  P5  H1*  H8  H1  P1  H6  P5  P1  H7  P1  P3  P7  H6 
Difficulty: 
2  1  1  2  2  3  2  3  3  3  3  3  4  4 
Question: 
15  16  17  
Your Answer: 
      
Correct Answer: 
8  16  320  
Topic: 
H6  P14  A7  
Difficulty: 
3  4  5 
* Question 3 covers topics H1, P10. 
Calculator Section Breakdown
Subject Area  Correct  Incorrect  Omitted  Total  

Heart of Algebra 

0  0  6  6 
Problem Solving and Data Analysis 

0  0  17  17 
Passport to Advanced Math 

0  0  7  7 
Additional Topics in Math 

0  0  1  1 
Analysis in History/Social Studies 

0  0  7  7 
Analysis in Science 

0  0  3  3 
Answers  

Question: 
1  2  3  4  5  6  7  8  9  10  11  12  13  14 
Your Answer: 
                           
Correct Answer: 
D  C  A  A  D  D  A  A  C  B  C  C  C  B 
Topic: 
P3  P1  H8  H1  D1  D5  P12  D2  D5  D2  D1  D1  D2  D5 
Difficulty: 
1  2  2  2  2  2  2  3  1  2  3  3  2  1 
Question: 
15  16  17  18  19  20  21  22  23  24  25  26  27  28 
Your Answer: 
                           
Correct Answer: 
B  B  C  C  D  C  C  C  A  A  D  C  D  3 
Topic: 
D2  D2  H7  H1  A6  D9  D2  D9  P5  P7  D7  P6  H7  P6 
Difficulty: 
3  3  3  2  3  4  3  4  4  4  4  4  3  2 
Question: 
29  30  31  
Your Answer: 
      
Correct Answer: 
7  587  293  
Topic: 
H8  D1  D1  
Difficulty: 
3  4  5 
Math Questions Breakdown  

Category/Topic  Correct  Incorrect  Omitted  Total  
Heart of Algebra 

0  0  14  14 
Linear Interpretation (H8) 

0  0  3  3 
One Variable System Using Algebra (H6) 

0  0  3  3 
Two Variable System Using Algebra (H7) 

0  0  3  3 
Linear Equations (H1) 

0  0  4  4 
Systems of Linear Equations (H5) 

0  0  1  1 
Problem Solving and Data Analysis 

0  0  17  17 
Percentages (D2) 

0  0  6  6 
Investigating Graphs (D5) 

0  0  3  3 
Data Shape, Center, Spread (D9) 

0  0  2  2 
Ratios, Rates, Proportions, Scales (D1) 

0  0  5  5 
TwoWay Tables (D7) 

0  0  1  1 
Passport to Advanced Math 

0  0  16  16 
Isolate and Identify a Quantity (P14) 

0  0  1  1 
Solving Radicals and Rationals (P7) 

0  0  2  2 
Interpreting Nonlinear Expressions (P10) 

0  0  1  1 
Quadratic or Exponential Modelling (P1) 

0  0  4  4 
Nonlinear Relationships in Algebra (P12) 

0  0  1  1 
Solving Quadratic Equations (P5) 

0  0  3  3 
Polynomial Arithmetic (P6) 

0  0  2  2 
Rational Exponent Expressions (P3) 

0  0  2  2 
Additional Topics in Math 

0  0  2  2 
Congruence and Similarity Theorems (A6) 

0  0  1  1 
Trigonometric Ratios, Theorems (A7) 

0  0  1  1 
Analysis in History/Social Studies 

0  0  7  7 
History and Social Studies (AH)  
Analysis in Science 

0  0  6  6 
Science (AS) 
Question Topics
The following tables list the types of questions that appear in every section of the test.
Reading Section  

Code  Description  Example 
IA  Similar Situation: Identify a situation that is similar to one described in the passage  Which of the following situations is most analogous to the role of sharks presented in lines 3136? 
IC  Finding Evidence: Find lines in the passage that support your answer to a previous question  Which choice provides the best evidence for the answer to the previous question? 
IE  Direct Information: Find information stated directly in the passage  According to the passage, which of the following claims is true about American scrap metal? 
II  Implied Information: Find information stated indirectly in the passage.  It can be reasonably inferred from the passage that the narrator ... 
IR  Describing Relationships: Determine how two people or items discussed in a passage interact with one another  Based on the passage, which choice best describes the relationship between novice and expert writers? 
IS  Summarizing: Identify a summary for a part of the passage  Which of the following provides the most reasonable summary of the passage? 
IT  Main Ideas: Identify the main ideas in a passage  The passage primarily focuses on which of the following characteristics of atomic warfare? 
IW  Vocabulary in Context: Choose an appropriate synonym for a word or phrase used in the passage  As used in line 74, “intact” most nearly means ... 
M  Comparing Passages: Compare or contrast information from two passages in a passage pair  Both Passage 1 and Passage 2 include... 
Q  Graphics: Find information in a graphic or how it relates to a passage  The passage and table most strongly support which of the following conclusions? 
RC  Finding Arguments: Identify arguments and counterarguments made in a passage  In this speech, Roosevelt does which of the following to promote his administration? 
RE  Author's Evidence: Identify what evidence the author uses to support arguments  The author of Passage 1 supports his assertion that, despite some errors, genome sequencing is already accurate enough to be used by ... 
RO  Overall Structure: Identify the overall structure of an entire passage  Which of the following best describes the passage? 
RP  Purpose: Identify what a portion of a passage is trying to accomplish  The last two lines (7677) primarily serve to ... 
RPW  Internal Structure: Determine how one part of the passage relates to the rest of the passage  The first paragraph introduces the passage by ... 
RR  Author's Reasoning: Asses the reasoning used to make arguments in a passage  In lines 6265, what is the most likely reason that the author describes why females may be more at risk during changes in community structure? 
Reading Section (Continued)  

Code  Description  Example 
RV  Point of View: Determine the author's point of view  The stance the author takes in the passage is best described as that of ... 
RW  Word Choice: Determine how certain words influence the meaning of the text  The main rhetorical effect of lines 1723 is to ... 
Code  Description  
E  Command of Evidence: Questions that require you to consider the use of evidence in the passage, including adding, revising, or reordering pieces of evidence. Main Idea, Support, Relevant Information, and Graphic Analysis questions will most commonly be counted towards Command of Evidence.  
W  Words in Context: Questions that require you to interpret or revise challenging vocabulary words in the context of the passage. Precise Word Choice questions always contribute to your Words in Context score, but so can many other question types if the question requires you to interpret a difficult word or use a common word in a challenging way.  
AH  History and Social Studies: All Expression of Ideas questions on Social Studies/History passages will contribute to your Social Studies/History score.  
AS  Science: All Expression of Ideas questions on Science passages will contribute to your Science score. 
Writing and Language Section  

Code  Description  Example 
DF  Relevant Information: Asks about whether information contributes to the main  Which of the following changes would most improve the focus of the passage? 
DP  Main Idea: Asks about adding, revising, or deleting a main idea statement in the passage  Which choice most effectively conveys the main topic of the paragraph? 
DQ  Graphic Analysis: Asks about information presented in charts and graphs  Which of the following choices completes the sentence with accurate information from the graphic? 
DS  Supporting Evidence: Asks about changing, inserting, or deleting supporting evidence for an idea  Which of the following sentences, inserted here, most effectively supports the claim made in the previous sentence? 
EC  Concise Sentences: Asks you to pick an option that eliminates empty phrases and repetitive words but not key information  Perhaps most impressively, alRazi conducted one of history’s earliest clinical trials to study how effective the practice of bloodletting was as a cure for disease. 
EP  Precise Word Choices: Asks you to choose the vocabulary word that makes the most sense in context  In the Middle East, aesthetic ideals from Cynicism influenced early Christians, leading some to give up their possessions to live in poverty in the desert. 
ES  Clear Sentences: Asks for you to pick effective order and arrangement of words, and use a variety of sentence structures for specific goals  Which choice best combines the sentences at the underlined portion? 
ET  Style and Tone: Asks for you to pick the option that maintains the same style and tone as the rest of the passage  This education helps them learn a lot of stuff about biology and chemistry so that they can understand the human body and the effects that various nutrients can have on overall health. 
OL  Logical Sentence Order: Asks about reordering sentences or paragraphs to make the passage more logical  To make this paragraph most logical, sentence 4 should be placed... 
OT  Transitional Words and Sentences: Asks about the best transitional words and phrases to connect sentences and paragraphs  However, ancient Greek philosophers held a great diversity of opinions, founding many schools of thought that have shaped the development of culture in the West and beyond. 
Writing and Language Section (Continued)  

Code  Description  Example 
PC  Extra Clauses: Asks you to correct problems with various types of nonessential clauses that provide extra information in a sentence  The Persian mathematician alKhwarizmi who worked in the 9th century CE developed new methods for solving linear and quadratic equations. 
PE  Ending a Sentence: Asks you to select the correct punctuation to end a sentence while conveying its intended meaning  Spending on recreation and luxuries isn’t necessarily waste; things that make us happy have value because they make us happy. However, we must ask ourselves an important question: “What is a reasonable level of spending on these budget items!” 
PL  Punctuating a List: Asks you to correctly punctuate a list of items  One of the foremost applications of this technology is the creation of plants that are resistant to certain pests, diseases, and herbicides. 
PP  Making Possessives: Asks you to correctly create the possessive form of a noun or pronoun, and avoid placing apostraphes or the letter 's' incorrectly on nonpossessive forms.  Cars are often singled out in conversations about carbon dioxide, but the largest source’s of carbon dioxide emissions in the U.S. are actually power plants. 
PU  Unnecessary Punctuation: Asks for you to remove unnecessary punctuation  The Stoics, unlike the Epicureans, believed that a divine will they called the logos influenced all events. 
PW  Punctuating a Sentence: Asks you to correct various errors of punctuation that occur between clauses or items within a sentence  Cities are filled with lights: streetlights, headlights, neon signs, LED screens with flashing ads, spotlights shining against landmark buildings, and countless glowing windows and screens, all drowning out the relatively dim twinkle of the stars, which are all but invisible in city skies 
SB  Making Whole Sentences and Avoiding Runons: Asks for you to correct runon sentences and sentence fragments by joining or dividing sentences and clauses, or changing the way they're joined or divided.  Typically, scientists modify plants by creating a ring of DNA called a plasmid, which holds the desired genes, then they insert this plasmid into plant cells. 
SM  Where to Put Descriptive Phrases: Asks for you to place descriptive phrases next to the things they’re supposed to describe  Teaching classes on dietetics to university students, new dietitians are also trained by them. 
SN  Matching Nouns: Asks you to recognize errors in the person  "I" vs. "you" or "him"  and number  "they" vs. "he"  of a pronoun  Nora Roberts is one of the most prolific living Writers; they began writing in 1979, publishing over 200 romance novels to date. 
SP  Matching Sentence Structures: Asks for you to make sure that different parts of a sentence or paragraph have the same structure when they need to  For instance, GM crops could outcompete wild plants, give rise to toxinresistant pests, or disrupting an ecosystem’s food chain by damaging insect populations. 
SS  Joining Sentences with Conjunctions: Asks for you to correct errors with subordinating and coordinating conjunctions, and the kinds of clauses the make  Although the Fuji apple shares its name with the wellknown Mt. Fuji, but it is actually named after Fujisaki, the town where researchers developed the hybrid. 
SV  Matching Verbs: Asks for you to make sure that verbs maintain the same form or an appropriate form throughout a sentence or paragraph  Using their wide range of knowledge and skills, these professionals ensure that their clients and patients eat nutritious foods and living lifestyles that will help them be fit and healthy. 
Writing and Language Section (Continued)  

Code  Description  Example 
UC  Appropriate Prepositions: Asks you to select the correct preposition or idiom to convey the intended meaning of a sentence  Had they not preserved ancient knowledge and elaborated on it with their own findings, scientific and technological development might be centuries behind where it is today. 
UD  Making Possessives: Asks for you to select a word to show possession that agrees with the form of the word that identifies the owner  While Japanese consumers strongly prefer Japanese apples to American apples, its most popular variety—the Fuji apple—is actually a hybrid of two American varieties. 
UF  Confusing Words: Asks you to select the correct choice from a pair of frequently confused words, like “their” and “they’re,” and usually to correct a small second error  The Ouroboros is an ancient symbol, which depicts a snake eating its own tail. 
UL  Comparing Correctly: Asks you to correct sentences in which unlike objects are compared  While the amount in the U.S. Federal budget for defense is consistently greater than education, adding in state and local spending reveals a greater overall expenditure on education than defense. 
UN  Noun Agreement: Asks for you to identify cases in which a noun should be plural or singular, and is the opposite  There are hundreds of pieces of space debris orbiting Earth, and any one of them could be dangerous projectiles. 
UPA  Pronoun Agreement: Asks for you to select the pronoun that agrees with the noun to which it refers  Even though there is a clear scientific consensus that food derived from GM crops is safe for human consumption, much of the general public fears that it might pose unknown health risks. 
UPC  Clear Pronouns: Asks you to substitute the correct noun for a pronoun when the pronoun is potentially unclear  Darwin and Wallace both independently arrived at similar theories, but today he is chiefly remembered as the author of theory of Evolution by Natural Selection. Wallace is remembered chiefly as a defender of Darwin’s work. 
USV  Verb Agreement: Asks for you to select the verb that agrees with the form of the subject, the noun that is ‘doing’ the action of the verb  The history of science as it is taught to most Western students are tragically incomplete. 
Code  Description  
E  Command of Evidence: Questions that require you to consider the use of evidence in the passage, including adding, revising, or reordering pieces of evidence. Main Idea, Support, Relevant Information, and Graphic Analysis questions will most commonly be counted towards Command of Evidence.  
W  Words in Context: Questions that require you to interpret or revise challenging vocabulary words in the context of the passage. Precise Word Choice questions always contribute to your Words in Context score, but so can many other question types if the question requires you to interpret a difficult word or use a common word in a challenging way.  
AH  History and Social Studies: All Expression of Ideas questions on Social Studies/History passages will contribute to your Social Studies/History score.  
AS  Science: All Expression of Ideas questions on Science passages will contribute to your Science score. 
Math Section  

Code  Description  Example 
A1  Volume: Solve problems using volume formulas  What is the volume of the cone in the diagram above if the diameter of the base is $16$? 
A2  Right Triangles: Use trigonometric ratios and the Pythagorean theorem  If the perimeter of the above right triangle is $72$, and two of the sides are labeled length $5x$ and $4x$, what is the value of $x$? 
A3  Complex Numbers: Solve problems involving complex numbers  What is the value of $i^8$? 
A4  Degrees and Radians: Convert between degrees and radians and use radians to determine arc lengths; use trigonometric functions of radian measure  What is the arc length of the figure with a side length of $6$ and an angle of $30$ degrees? 
A5  Arcs, Chords, and Sectors: Apply theorems about circles to find arc lengths, angle measures, chord lengths, and areas of sectors  What is the arc length of the figure above? 
A6  Congruence and Similarity Theorems: Use concepts and theorems about congruence and similarity to solve problems about lines, angles, and triangles  What is the value of x in the figure above? 
A7  Trigonometric Ratios, Theorems: Use the relationship between similarity, right triangles, and trigonometric ratios; use the relationship between sine and cosine of complementary angles  In the figure above, what is the value of $\sin(x)$? 
A8  Circle Equations: Create or use an equation in two variables to solve a problem about a circle in the coordinate plane  If a sector of a circle with an angle of $60$° has an area of $24$π, what is the radius of the circle? 
D1  Ratios, Rates, Proportions, Scales: Use ratios, rates, proportional relationships, and scale drawings to solve single and multistep problems  If the ratio of $A$ to $B$ is $2:3$ and the ratio of $A$ to $C$ is $5:6$ what is $CB$? 
D2  Percentages: Solve single and multistep problems involving percentages  $U$ is $75\%$ of $T$. If $V$ is $5\%$ of $U$, what is the value of $V$ in terms of $T$? 
D3  Measurements: Solve single and multistep problems involving measurement quantities, units, and unit conversion  An object measures $3$ cm by $9$ cm by $4$ cm and weighs $54$ grams. If another object made from the same material measures $6$ cm by $2$ cm by $3$ cm, what would be the weight of the second object in terms of the first object? 
Math Section (Continued)  

Code  Description  Example 
D4  Scatterplots: Given a scatterplot, use linear, quadratic, or exponential models to describe how the variables are related  The graph above shows the number of passengers on a train line over $4$ months. If $m$ is the number of months, which of the following functions best represents the graph’s line of best fit? 
D5  Investigating Graphs: Use the relationship between two variables to investigate key features of the graph  The total sales of films are compared to their total budgets in the graph above. What was the budget of the film with the median total ticket sales? 
Math Section (Continued)  

Code  Description  Example 
D6  Linear and Exponential Growth: Compare linear growth with exponential growth  >br>Dungess crab and Horseshoe crab populations are observed and compared by marine researchers. Researchers notice that the Dungess population increases $10\%$ each year, and the Horseshoe population increases by $100$ each year. If the Dungess crab population is represented by the solid line, and the Horseshoe crab population is represented by the dotted line, which of the following graphs best represents Dungess crab and Horseshoe crab populations? 
D7  TwoWay Tables: Use twoway tables to summarize categorical data and relative frequencies, and calculate conditional probability  The chart above shows career preferences for students in a class. If two different students are randomly chosen, what is the probability they both want to enter finance? 
D8  Sample and Population Parameters: Make inferences about population parameters based on sample data  According to the sample data above, what is the total number of students who enrolled in psychology during the period from 2000 to 2002? 
D9  Data Shape, Center, Spread: Use statistics to investigate measures of center of data and analyze shape, center, and spread  >br>The graph above shows the pollination rate of plants in a forested area every two years. Based on the trend line, what is the average annual increase in the pollination rate? 
D10  Evaluating Reports: Evaluate reports to make inferences, justify conclusions, and determine appropriateness of data collection methods  The graph above shows Rebecca’s running speeds during a 2 hour run. What is the total distance, in miles, that Rebecca ran during the first hour of her run? 
Math Section (Continued)  

Code  Description  Example 
H1  Linear Equations: Create, solve, or interpret a linear expression or equation in one variable  If $4n + 8n = 36$, what does n equal in this equation? 
H2  Linear Inequalities: Create, solve, or interpret linear inequalities in one variable  Which of the following represents the solution set to the inequality $2x + 1$ ≥ $9$? 
H3  Linear Modelling: Build a linear function that models a linear relationship between two quantities  Carlos walks at a constant pace of 3 miles per 55 minutes. Build a linear function to model how far he walks in 35 minutes. 
H4  Systems of Linear Inequalities: Create, solve, and interpret systems of linear inequalities in two variables  Solve for the values of $x$ that satisfy both inequalities: $7x$ ≥ $21$ and $2x$ > $10$. 
H5  Systems of Linear Equations: Create, solve, and interpret systems of two linear equations in two variables  If $y = 5n + 6$ and $y = n  2n  4$, for which value of n are the equations above equivalent? 
H6  One Variable System Using Algebra: Algebraically solve linear equations (or inequalities) in one variable  $x + 6 + 2x = 5x$ and $4x + 1 = 13$. What is the value of $x$? 
H7  Two Variable System Using Algebra: Algebraically solve systems of two linear equations in two variables  $x + y = 3$ and $2x  y = 12$. What are the values for x and y? 
H8  Linear Interpretation: Interpret the variables and constants in expressions for linear functions within the context presented  $f(2) = 3$ and $f(6) = 13$. If $f(x)$ is a linear function, what is the value of $x$ if $f(x) = 0$? 
H9  AlgebraicGraphical Connections: Understand connections between algebraic and graphical representations  A linear function is graphed above. What is the value of a at the point ($a, 3$) for this function? 
P1  Quadratic or Exponential Modelling: Create a quadratic or exponential function  The table above gives values of the quadratic function $f$ for selected values of $x$. Which of the following expressions defines $f(x)$? 
P2  Forms of Expressions: Determine the most suitable form of an expression  Which of the following expressions is equal to $2x^2 + 11x + 15$? 
P3  Rational Exponent Expressions: Create equivalent expressions involving rational exponents  Which of the following is equivalent to the expression (($x^2$ – $1$)($x$ – $1$))/($x + 1$)? 
P4  Equivalent Algebraic Expressions: Create an equivalent form of an algebraic expression  Which of the following is equal to $6x^2  11x  7$? 
P5  Solving Quadratic Equations: Solve a quadratic equation  What is the solution for $x$ in the quadratic equation $x^2  4x + 6$? 
Math Section (Continued)  

Code  Description  Example 
P6  Polynomial Arithmetic: Add, subtract, and multiply polynomial expressions  What is the sum of $x^2 + 8x + 3$ and $x^2  7x + 5$? 
P7  Solving Radicals and Rationals: Solve an equation in one variable that contains radicals or contains the variable in the denominator of a fraction  If $x^2 = 0.1$, what is the value of $x^4$? 
P8  LinearQuadratic Systems: Solve a system of one linear equation and one quadratic equation  Solve the following system of equations: $y + 30 = x^2 + 3x$ and $y  5x = 90$. 
P9  Rewriting Rational Expressions: Rewrite simple rational expressions  Rewrite $(2x^3 + 4x^2  6x)/(2x)$. 
P10  Interpreting Nonlinear Expressions: Interpret parts of nonlinear expressions in terms of their context  The function $f(x) = ax^2 + bx + c$ is graphed above. Which of the following must be positive? 
P11  Polynomial Zeros and Factors: Understand the relationship between zeros and factors of polynomials  $x^2 + px + q = 0$, If the only solution for $x$ in the equation above is $5$, what is the value of $p + q?$ 
P12  Nonlinear Relationships in Algebra: Understand a nonlinear relationship between two variables  What are the $x$ and $y$intercepts of $y = 6x^2  19x  36$? 
P13  Function Notation: Use function notation, and interpret statements using function notation  $f(x) = 2x  1$, and $g(x)$ is a linear function that is perpendicular to $f(x)$. If $(0, 4)$ is a point of $g(x)$, at what point do $f(x)$ and $g(x)$ intersect? 
P14  Isolate and Identify a Quantity: Use structure to isolate or identify a quantity of interest  If $m = \frac{5k}{3}$, what is $k$ in terms of $m$? 
Code  Description  
AH  History and Social Studies: All Expression of Ideas questions on Social Studies/History passages will contribute to your Social Studies/History score.  
AS  Science: All Expression of Ideas questions on Science passages will contribute to your Science score. 