Prime Time Review Name _____________________ * Parent Signature: _________________________________________________ The summative for the first 6th grade math unit, Prime Time, will be given on Tuesday, October 15. In the Prime Time unit students have solved problems involving factors, multiples, prime and composite numbers, GCF, LCM, prime factorization, the distributive property, and order of operations. Many of these topics are the foundation for subsequent topics that will be covered in 6th grade math. Therefore, several of the concepts introduced and practiced in the Prime Time unit will be carried over, practiced and assessed in later units in 6th grade. Level 2 questions will assess students’ ability to find GCF and LCM. Level 3 questions will assess students’ ability to use and apply the distributive property to express a sum of two whole numbers. Level 4 questions will require students to make in-depth inferences and apply their understanding of the distributive property. 1.) List the divisibility rules for each number: 2 -______________________________________________________________ 3 -______________________________________________________________ 5 – _____________________________________________________________ 6-______________________________________________________________ 9 – _____________________________________________________________ 10 – _____________________________________________________________ 2.) List all the factors for 24- List all the factors for 17 - 3.) List all the factors for 18 and 42, name the GCF GCF= _______________ 4.) Find the GCF of 120 and 80 using Prime factorization. 120 80 GCF= ______________ 5.) List multiples for 6 and 4, name the LCM. 6: _______________________ 4: _______________________ LCM = ____________ 6.) Find the LCM of 45 and 60 using Prime Factorization. 45 60 LCM= _____________ 7.) Be able to simplify exponents. 23 = ______ 32 name the base _________ name the exponent _________ Write with exponents 8 x 8 x 8 x 8 = _______ 8.) What number has the following prime factorization? a.) 23 x 5 = ___________ b.) 3 x 3 x 5 = _______________ 9.) Give an example of a square number . _______________ 10.) List the steps you need to follow in order of operations. (Write out the words) P- ________________________________ E- _______________________________ M and D ________________________ and ___________________ ( left to right ) A and S _________________________ and ____________________ ( left to right ) 11.) Solve: 3 x ( 2 + 6 ) – 42 ÷ 8 23 + (12-9) ∙ 5 + 1 12.) Solve- Two radio stations are playing the number one hit song “Beverly Hills” by Weezer. WMMS plays the song every 12 minutes. WXTB plays the song every 15 minutes. After how many minutes will both stations play the song? (Show all work) 13.) Solve- Derek and Mitchell are having a party. They have 20 cookies and 30 bags of M&M’s. Each person at the party had the same number of whole cookies and whole bags of M&M’s. Nothing was left over. Derek and Mitchell did not eat. What is the largest number of kids that might have been at their party? (Show all work) How many cookies does each kid receive? ________________________ How many bags of M&M’s does each kid receive? __________________ 14.) Use the Distributive Property to write an equivalent expression. Use the rectangle to model your new expression. 45 + 36 = _____________________ 15.) Use the Distributive Property to write an equivalent expression for each. 72 + 64= 20 + 44= 16.) Use the Distributive Property to write an equivalent expression. 5 x 140 17.) Use the Distributive Property to write an equivalent expression for each. 3 x 75 6 x 250