QUESTIONS? Ms. Ogden: 757-636-6161 Brittani.ogden@dc.gov Χ Use a PENCIL! Proper Heading Name ___________________________________ Date ____________________________________ College __________________________________ Try every problem Show ALL Work! 26 CUA Directions: Complete the Venn Diagrams for the factors and multiples. 1.) 2.) Factors of 21 Factors of 20 Factors of 12 _____ x ______ _____ x ______ _____ x ______ _____ x ______ _____ x ______ _____ x ______ _____ x ______ _____ x ______ _____ x ______ _____ x ______ _____ x ______ Factors of 16 Common Factors The GCF is ______________ Common Factors The GCF is ______________ 3.) In my own words, I can find the greatest common factor by _____________________________ ______________________________________________________________________________________________ 4.) 5.) Multiples of 2. ___ x 1 = Common ___ x 2 = Multiples ___ x 3 = ___ x 4 = ___ x 5 = ___ x 6 = ___ x 7 = ___ x 8 = ___ x 9 = ____ x 10 = Multiples of 5. ___ x 1 = ___ x 2 = ___ x 3 = ___ x 4 = ___ x 5 = ___ x 6 = ___ x 7 = ___ x 8 = ___ x 9 = ____ x 10 = The LCM is ______________ Multiples of 3. Common ___ x 1 = Multiples ___ x 2 = ___ x 3 = ___ x 4 = ___ x 5 = ___ x 6 = ___ x 7 = ___ x 8 = ___ x 9 = ____ x 10 = Multiples of 7. ___ x 1 = ___ x 2 = ___ x 3 = ___ x 4 = ___ x 5 = ___ x 6 = ___ x 7 = ___ x 8 = ___ x 9 = ____ x 10 = The LCM is ______________ 6.) The difference between the least common multiple and the greatest common factor is _____________ _______________________________________________________________________________________ QUESTIONS? Ms. Ogden: 757-636-6161 Brittani.ogden@dc.gov Χ Use a PENCIL! Name ___________________________________ Date ____________________________________ College __________________________________ Try every problem Show ALL Work! Proper Heading Directions: Write the ratio in three ways for the following scenarios. 1. What is the ratio of circles to squares? # of circles = ________ # of squares = _______ Fraction Words 2. What is the ratio of spiders to webs? Colon # of spiders = ________ # of webs = _______ Fraction Words 3. What is the ratio of locks to keys? Colon # of locks = _________ # of keys = ________ Fraction Words Colon 4. The table below shows the number of students and their favorite sports. Favorite Sport Number of Students Soccer 4 Baseball 3 Basketball 11 Football 9 a) What is the ratio of students who love basketball to students who love soccer? Fraction Words Colon b) What is the ratio of students who love football to total students? Fraction Words Colon QUESTIONS? Ms. Ogden: 757-636-6161 Brittani.ogden@dc.gov Χ Use a PENCIL! Proper Heading Name ___________________________________ Date ____________________________________ College __________________________________ Try every problem Show ALL Work! 28 CUA Directions: Use the table below to answer the following ratio questions. 1. The table below shows the number of JA staff members and their favorite desserts. Dessert Number of JA Staff Pumpkin Pie 6 Chocolate Cake 12 Oatmeal Raisin Cookies 5 Apple Pie 9 Total a) What is the ratio of staff who love chocolate cake to staff who love oatmeal raisin cookies? # of staff who love chocolate cake = ________ # of staff who love oatmeal raisin cookies = ________ This is a part – to - _________________ ratio. Fraction Words Colon b) What is the ratio of staff who love apple pie to staff who love pumpkin pie? # of staff who love apple pie = ____________ # of staff who love pumpkin pie = __________ This is a part – to – _____________________ ratio. Fraction Words Colon c) What is the ratio of staff who love chocolate cake to total staff at Jefferson? # of staff who love chocolate cake = ___________ Total # of JA staff = ________ This is a part – to – _______________________ ratio. Fraction Words Colon QUESTIONS? Ms. Ogden: 757-636-6161 Brittani.ogden@dc.gov Χ Use a PENCIL! Proper Heading Name ___________________________________ Date ____________________________________ College __________________________________ Try every problem Show ALL Work! 29 CUA Ratio Review Part 1: Using the pictures, write the ratio in 3 ways. Fraction Part 2: Using the real-world scenarios, write the ratio in words. Part 3: Reducing Ratios Words Colon 1. 50:35 Factors of 27. Factors of 9. ____ x ____ = 27 ____ x ____ = 9 ____ x ____ = 27 ____ x ____ = 9 The GCF is _________. Reduced Ratio ÷ Fraction Words Colon ÷ 2. 49:21 Factors of 49. Factors of 21. ____ x ____ = 49 ____ x ____ = 21 ____ x ____ = 49 ____ x ____ = 21 The GCF is _________. Reduced Ratio Fraction ÷ Words Colon ÷ 3. 12:32 Factors of 12. ____ x ____ = 12 ____ x ____ = 12 ____ x ____ = 12 Reduced Ratio Fraction Words Colon Factors of 32. ____ x ____ = 32 ____ x ____ = 32