COMPASS TEST PREPARATION North Seattle Community College Who needs to take the test? Students who want to do the Running Start program. Students entering degree, certificate, or college transfer programs at NSCC. Students who need to complete requirements for English and Math. (See Sequence of English Classes and Sequence of Math Classes) Students who want to take classes that list placement test scores as a prerequisite for the class. When you don’t need to test You may not need to take the COMPASS test for English and Math placement. See an advisor if: You have already taken the COMPASS at another school You have already completed a college level English or Math class You have already taken any of the following tests: TOEFL SAT ACT ASSET ACCUPLACER COMPASS Tests PLACEMENT COMPUTER BASED ADAPTIVE • A placement test is not a pass/fail test. • It assesses math or academic English skills to start you at the level that is right for you. • It finds your specific test placement. • The COMPASS tests are computer-based. • Prior computer experience is not required. • There is a tutorial. • The test adapts the next question. • If you get a question right, it gives you a harder one. • If you miss a question, it gives you an easier one. COMPASS Tests Reading • College reading skills for English class placement. • Read essays and answer multiple choice questions. • Readings are from practical readings, humanities, fiction, natural sciences and social sciences. Writing • College writing/editing skills for English class placement. • Correct errors in basic grammar, usages, punctuation and sentence structure. • Answer questions about content, organization and style. Math • College math skills for Math class placement. • Answer multiple choice questions about numerical skills, Prealgebra, Algebra, College Algebra, Geometry, Trigonometry. • You can use the Windows standard or scientific calculator. ESL • Tests non-native speakers ability to understand written and spoken English. (Reading, Grammar/Usage and Listening) • You take this test if you are an international student or if you are an immigrant or refugee and need to qualify for Financial Aid for a professional technical or IBEST program. Check with an advisor. When Should You Test? Don’t wait too long. English and Math classes fill fast. If you are a new or returning student, you should test at least a few weeks before you plan to start classes – earlier is better. If you are in Language Arts, developmental English, ESL, IEP, ABE or Math classes currently, you are still learning new material. Wait until the last month of the quarter to test. About the Testing Center The Testing Center is on the 2nd floor of the College Center building in Room CC 2459C (around the corner from Financial Aid) Call us at: 206-527-7659 See our Testing Web site at: https://northseattle.edu/testing Look for COMPASS study guides. Review the Testing Calendar About the Test AMOUNT OF TIME Tests are untimed. You can pause out of your test at the end of a section, take a short break and come back to finish. The test will save all your work and start where you left off. The entire test you are taking must be finished in that session. SPECIAL ACCOMODATIONS If you need a Testing Accommodation, such as a private room, or a reader or scribe, contact the Disability Services Office before you come to test. Disability Services and the Testing Center will work with you to make an appointment time to take the test. Test Re-take Policy COMPASS MATH • The Math Test is valid for one year. • Take the Math test two times whenever you choose. • After that, you must wait 3 months to test again. COMPASS READING/WRITING • The English Test is valid for two years. • You must wait 3 months to test again. • If you don’t agree with your score, you can take the English Appeal Test. What To Do Before Testing Pay for the COMPASS test at the Cashier (College Center, 2nd Apply to North to get floor). your North Student ID number if you don’t have one (you’ll need it to test). Bring the receipt, your SID number and a photo ID to the testing center during placement testing hours. Take a copy of your test scores to register for classes or work with an advisor. COMPASS Math Review Multiple-choice questions to test: Basic math Pre-algebra (1) Algebra (2) College Algebra (3) Geometry Trigonometry Choose which of 3 levels to start based on what you have learned previously Math Tutorial Sample Read the question. Do the math. Choose an answer from the choices. Can I use a calculator? The Answer is YES. You are not allowed to use your own calculator. Switch between the standard and the scientific calculators from Windows. There is a link built into the test. Windows Accessories Standard Calculator The standard calculator is a good choice pre-algebra and algebra COMPASS questions. If you know that you can do math at a higher level, you may want to familiarize yourself with the scientific calculator. This calculator does not follow the order of operations. Windows Accessories Scientific Calculator The scientific calculator is a good choice for questions about college algebra, geometry and trigonometry. It’s too complicated for simpler math. Use the standard calculator for pre-algebra and algebra questions. Math Concepts for Pre-Algebra Basic operations with integers Order of operations Signed numbers and absolute value Basic operations with fractions Basic operations with Decimals Factorization Exponents, square roots and scientific notation Ratios, Proportions and Percents Mean, median and mode Order of Operations Please (Parentheses) Excuse (Exponents) My (Multiplication) Dear (Division) Aunt (Addition) Sally (Subtraction) SOLVE: 1st Parentheses 2nd Exponents 3rd Multiplication 4th Division 5th Addition 6th Subtraction 43 + 9 * 52 - 6 ( 3 + 4) /2 = 43 + 9 * 52 - 6 ( 3 + 4) /2 = 43 + 9 * 52 - 6 ( 7) /2 43 + 9 * 52 - 6 ( 7) /2 = 64 + 9 * 25 - 6 ( 7)/2 64 + 9 * 25 - 6 ( 7)/2 = 64 + 225 - 42/2 64 + 225 - 42/2 = 64 + 225 - 21 64 + 225 - 21 = 289 - 21 289 - 21 =268 Signed Numbers -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Positive Numbers are more than zero. Negative Numbers are less than zero. The absolute value of a number is its distance from zero. |3| = 3 or | -3 | = 3 Addition (+) and Subtraction (-) -2 + -3 = -5 -2 + 3 = 1 (Treat the negative like subtraction) 4 - -2 = 6 (Change two negatives to a positive) Multiplication (*) and Division (/) A positive number multiplied or divided by negative number = a negative number An even number of negative numbers * or / = a positive number An odd number of negative numbers * or / = a negative number Scientific Notation Simplify a number like 235,000,000,000 Put a decimal after the 1st # and remove the zeros (2.35). This is called the coefficient. Count the # of places after the decimal (1011). This is called the base. Write in scientific notation (coefficient * base) 2.35 * 1011 2.35E+11 2.35 X 10^11 YOUR TURN: Simplify 12,852,000,000,000 1.2852 * 1013 Factorization and Prime Numbers Factorizations lists all the factors of a product Factors are #s that divide evenly into a number Product is the base number Find the factors of 100 A number can be divided: By 2 if it’s even By 3 if the sum of digits can be divided by 3 48 = 4 + 8 = 12 (can be divided by 3) 92 = 9 + 2 = 11 (can’t be divided by 3) By 5 if the last number is 5 or 0 By10 if the last number is 0 Prime numbers only have two factors: 1 and itself. Example: Only 1 and 19 can be divided by 19 50 25 5 2 2 5 Factors of 100 = 2, 2, 5, 5 = 2252 Fractions: Adding and Subtracting Adding and Subtracting Fractions with the same bottom number (denominator) is simple: 3 1 4 5 2 Examples: + 5 1 2 + 5 = 5 - 7 7 = 3 7 If the denominators are different, you will have to convert them to the Lowest Common Denominator (LCD) 1 3 2*3=6 = Use 6 as the LCD 1 *3 + 2 *3 3 6 + 3 4 - 2 5 1 *2 3 *5 3 *2 4 *5 2 6 = 5 6 4 * 5 = 20 Use 20 as the LCD = - 2 *4 5 *4 15 20 8 20 = 7 20 Fractions and Mixed Numbers You may need to reduce a fraction to simplify. Divide the numerator (top) and denominator (bottom) by the same number. Try to divide by 2, 3, 5 or 10 first. 12 /2 14 /2 = 6 100 /5 7 250 /5 = 20 /10 50 /10 = 2 5 You may need to convert a mixed number to a fraction. Multiply whole number by denominator (bottom). Then, add that number to the numerator (top). 2 5 6 = 2 * 6 + 5 = 17 = 17 6 You may need to convert a fraction to mixed number. Divide the numerator (top) by denominator (bottom) to get the whole number. Use the remainder for the numerator (top). 17 6 17 ÷ 6 = 2 with = 2 5 remaining 5 6 Fractions: Multiplying and Dividing To multiply fractions, multiply the numerators and denominators across. Then, simplify. 2 3 2 3 * 5 = 8 10 /2 24 /2 Reduce fraction = 5 12 To divide fractions, switch the numerator (top) and the denominator (bottom) of the 2nd fraction, then multiply across. Then, simplify. ÷ 5 8 = 2 3 * 8 5 = 16 15 16 ÷ 15 = 1 with 1 remaining Convert to mixed number = 1 1 15 Ratios Ratios compare two things to each other. What is the ratio of circles to stars? 4 Write as a fraction 7 Write with “to” Write using a colon 4 circles to 7 stars 4:7 Proportions A proportion is a statement that two ratios are equal Ratios are equal if their cross-products are equal (crossmultiply to check) a b c d a*d=b*c Are these ratios a proportion? 3 5 = = 14 20 3 * 20 = 5 * 14 60 ≠ 70 No, they aren’t proportionate. What value of n will make this a proportion? 2 6 = n 18 2 * 18 = 6 * n 36 = 6n 36/6 = n 6=n Conversions A percent “per 100 parts” can be written as a percent, a decimal or a fraction. 25 25 % is 0.25 or 100 Convert the percents to decimals Convert the percents to fractions and simplify Move the decimal 2 places to the left. 35 % = 3 5 = 0.35 35 % = 35 /5 100 /5 = 7 20 You must convert percent to either decimals or fractions to solve problems Percentages A percent problem has three parts: The Part (a portion of the total) The Whole (the total amount) The Percent (a portion of 100 equal parts) Part What % of 80 is 24? Solve for the Percent = Part ÷ Whole 24 ÷ 80 = 0.3 * 100 = 30% Divided by 30% of 120 is what number? Solve for the Part = Whole * Percent 120 * 0.3 = 36 30% of what number is 24? Solve for the Whole = Part ÷ Percent 24 ÷ .3 = 80 Whole Multiplied by Percent Measures of Central Tendency Mean = an average of a set of numbers • Add the numbers together and divide by the # of numbers (How many?) Median = the middle value of a set of numbers arranged in order • List the data in numerical order • Find the center value (if there are two values, average them) Mode = the most frequent value of a set of numbers • Look for the number that appears most often Find the mean, median and mode for this set of COMPASS algebra scores 84, 70, 65, 35, 84, 55, 35, 84 35 35 55 65 70 84 84 84 Mean = (35 *2) + 55 + 65 + 70 + (3 * 84) /8 = 512 / 8 = 64 Median = 65, 70 = (65 + 70)/2 = 67.5 Mode = 84 Online Resources COMPASS practice tests online (Gainesville State College) Guide to Grammar and Style (Rutgers University) http://www.hostos.cuny.edu/oaa/compass/ Review College Algebra, Geometry and Trigonometry (SOS Math) http://www.act.org/compass/sample/index.html Review Pre-algebra and Algebra (Hostos Community College) http://www.chompchomp.com/menu.htm COMPASS Practice Test printouts with answer keys (pdfs) http://andromeda.rutgers.edu/~jlynch/Writing/ Grammar Review for Writing Test (Grammar Bytes) http://www.gsc.edu/academics/acadenrich/ls/CPE/Pages/default.aspx http://www.sosmath.com/ Hundreds of short math prep videos and exercises (Khan Academy) http://www.khanacademy.org/#browse Must use your Google or Facebook account to sign-in COMPASS Writing Review Read an essay and edit it for errors in punctuation, grammar, sentence structure, strategy, organization and style. Select each line and you are given five multiplechoice options for changing the line. The first option (A) is always identical to the original wording, and thus represents NO CHANGE. Writing Skills Tutorial Sample The essay is on the left. When you select a sentence, multiple choice options appear. Choose A to keep the original text. You can select more to scroll up and down in the essay. Writing Test Strategies Read the passage completely Select each phrase or sentence Read the entire sentence to find mistakes. Use Process Of Elimination (POE) Review the entire essay Writing Questions Mechanics (For ESL and IEP Students) Punctuation Subject-verb and pronoun agreement Verb forms and tense Sentence structure End of sentence and between clauses Commas and apostrophes Unnecessary punctuation Grammar and usage Rhetorical Skills Sentence errors Appropriate use of modifiers Strategy Organization Audience and purpose Adding, revising or deleting support Openings, transitions and closings Establishing logical order Deleting irrelevant ideas Style Word choice Choosing appropriate sentence elements Avoiding Repetition A GOOD SENTENCE: 1. 2. 3. 4. 5. Has a single or compound subject (stated only once). Has a complete verb phrase. Expresses at least one complete idea that can stand alone. Begins with a capital letter. Ends with a period, question mark or exclamation point. Basic Punctuation Rules Check semi-colons. Be sure there’s a complete thought on each side. Check for comma splices (two complete thoughts with only a comma between them). I wanted to go to the party, I had to study for my test. (COMMA SPLICE – NOT CORRECT) I wanted to go to the party, but I had to study for my test. (COMPOUND SENTENCE) Check commas. Commas come before coordinating conjunctions (, and). Commas are used with a series of three or more items. Commas are used to set off introductory phrases, non-essential clauses and interrupters. Check colons. It introduces lists or re-statements. I wanted to go to the party; however, I had to study for my test. On the COMPASS, we test three skills: reading, writing and math. Check apostrophes. Its needs an apostrophe only if you mean it is. Yours, theirs, his, and hers never need an apostrophe. COMPASS Reading Review Read essays and answer multiple-choice questions. You may be asked to read multiple essays. Types of Reading: Practical readings (newspaper articles, business documents, etc.) Fiction (stories) Humanities (essays about art, literature, music, languages, etc.) Social Sciences (history, psychology, sociology, etc.) Natural Sciences (biology, chemistry, physics, etc.) Reading Questions Explicit Information (In the Passage) Implicit Information (Not in the passage) • May ask about vocabulary or definitions • May ask about the main idea • May ask about details (Who?, What? Where? When? How? Why?) • May ask about relationships between ideas • May ask about relationships between ideas • May ask you to evaluate or apply the information • May want you to draw conclusions about the reading or make inferences Reading Comprehension Tutorial Sample The reading is on the left. You can click more to scroll up and down in the reading. The questions are on the right. Reading Test Strategies Read the passage completely Read the question Pick the best choice Use Process Of Elimination (POE) Find the information in the passage Read the choices