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Name _________________________ Date _____________________ Unit 1, Part 2 Test: Number Sense Review Packet List the following integers in order from least to greatest. 1. 9, 0, -6, -17, 2, -3 _________________________________________ 2. -20, 15, 4, 0, -11, -10 _________________________________________ List the following integers in order from greatest to least. 3. 14, -1, -7, 15, -3, -15 _________________________________________ 4. 17, -2, 2, 13, -17, 0 _________________________________________ Express the given situation using an appropriate integer. 5. The temperature dropped 15° F. ________ 6. The NY Giants gained 8 yards on first down. ________ What are prime and composite numbers? 7. A prime number is ______________________________________________ _____________________________________________________________. 8. A composite number is __________________________________________ _____________________________________________________________. 9. List the first ten prime numbers. _____, _____, _____, _____, _____, _____, _____, _____, _____, _____ 10. List the first ten composite numbers. _____, _____, _____, _____, _____, _____, _____, _____, _____, _____ Find the prime factorization of each number. 11. 21 PF = 12. 36 PF = List all of the factors for each number. 13. 16 ________________________________________________________ 14. 54 ________________________________________________________ Find the greatest common factor (GCF) for each set of numbers. Show your work! 15. 18 and 27 16. 24 and 44 17. 15 and 16 18. 12, 36, and 102 List the first ten multiples of each number. 19. 10 ________________________________________________________ 20. 12 ________________________________________________________ Find the least common multiple (LCM) for each set of numbers. Show your work! 21. 2 and 7 22. 14 and 28 23. 10 and 25 24. 4, 12, and 15 Solve the following word problem by finding GCF. Show your work! 25. Danny is organizing his art supplies. He has 15 red markers, 20 blue markers, and 30 green markers. He wants to put the markers into groups so there is the same number of markers in each group. a. What is the greatest number of markers he can put in each group? _____________________________________________________________ b. How many groups of red, blue, and green markers will Danny have? _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ Solve the following word problem by finding LCM. Show your work! 26. You are purchasing hamburgers, rolls, and plates for an upcoming barbeque. Hamburgers are sold in packs of 4, rolls are sold in packs of 8, and plates are sold in packs of 10. a. What is the least number of each item you can purchase so you have the same number of hamburgers, rolls, and plates? _____________________________________________________________ b. How many packs of each item do you need to buy? _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ Unit 2, Part 2 Test: Review Packet Answer Key 1. -17, -6, -3, 0, 2, 9 2. -20, -11, -10, 0, 4, 15 16. 24 – 1, 2, 3, 4, 6, 8, 12, 24 44 – 1, 2, 4, 11, 22, 44 GCF = 4 3. 15, 14, -1, -3, -7, -15 4. 17, 13, 2, 0, -2, -17 15 – 1, 3, 5, 15 16 – 1, 2, 4, 8, 16 5. -15 GCF = 1 6. 8 7. A prime number is a number with only two factors – one and itself. 17. 8. A composite number is a number with more than two factors. 18. 12 – 1, 2, 3, 4, 6, 12 36 – 1, 2, 3, 4, 9, 12, 18, 36 102 – 1, 2, 3, 6, 17, 34, 51, 102 GCF = 3 19. 10 – 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 20. 12 – 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 9. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 10. 4, 6, 8, 9, 10, 12, 14, 15, 16, 18 21. 2 x 7 = 14 LCM = 14 11. PF = 3 x 7 = 21 22. 28 ÷ 14 = 2 LCM = 28 12. PF = 2 x 2 x 3 x 3 = 36 or PF = 22 x 32 = 36 23. 10 – 10, 20, 30, 40, 50 25 – 25, 50 13. 16 – 1, 2, 4, 8, 16 14. 54 – 1, 2, 3, 6, 9, 18, 27, 54 15. 18 – 1, 2, 3, 6, 9, 18 27 – 1, 3, 9, 27 4 – 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60 12 – 12, 24, 36, 48, 60 15 – 15, 30, 45, 60 GCF = 9 LCM = 60 LCM = 50 24. 25a. 15 – 1, 3, 5, 15 20 – 1, 2, 4, 5, 10, 20 30 – 1, 2, 3, 5, 6, 10, 15, 30 GCF = 5 Danny can put 5 markers in each group. 25b. 15 ÷ 5 = 3 20 ÷ 5 = 4 30 ÷ 5 = 6 Danny will have 3 groups of red markers, 4 groups of blue markers, and 6 groups of green markers. 26a. 4 – 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 8 – 8, 16, 24, 32, 40 10 – 10, 20, 30, 40 LCM = 40 I can buy 40 of each item. 26b. 40 ÷ 4 = 10 40 ÷ 8 = 5 40 ÷ 10 = 4 I need to buy 10 packs of hamburgers, 5 packs of rolls, and 4 packs of plates.