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Pretest: Unit 1 Name: ____________________ 1. 2. Find the common factors of 18 and 36. What is their GCF? Find the first 9 multiples of 4 and 6. What is their LCM? 3. Find: b) 73 a) √121 c) the square of 12 4. List the first ten prime numbers. 5. Sharma plays basketball every third day of the month. She babysits her little brother every seventh day of the month. How many times in a month will Sharma have a conflict between basketball and babysitting? Explain your thinking. 6. List the first ten perfect square numbers. 7. Use the clues to find a mystery number. Explain your thinking. Clue 1: I am a 2-digit number. Clue 2: I am greater than √169 and less than 92. Clue 3: I have 26 and 6 as a factor. What am I? 8. Highlands High School has 70 athletes in its track team, while Western High School has 56 and Northlands has 42. To participate in a march at the beginning of an athlete meet, each school team is to be divided into rows of equal number of athletes. What will be the greatest number of athletes in each row? Show your work. 9. Explain how you know that 49 is a perfect square number. Use a diagram. 10. Complete the table. Exponent Form Base Exponent 5 4 Expanded Form Standard Form 34 25 105 4x4x4x4 11. A square rug is made up of 64 congruent squares. Each square has an area of 64 cm2. What is the perimeter of the rug? Draw a diagram. Unit Test – Master 1.15 1. 2. 3. 4. 5. 6. 7. 8. 9. a) $95.33; I used a calculator because there are many steps, the numbers are large, and I need an exact answer. b) About 9000 mL or 9 L; I used mental math. I assumed 30 days in a month. I calculated 30 30 mentally. c) $14; I used mental math because the numbers are easy to handle. Common factors: 1, 2, and 4 GCF: 4 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72 Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54 LCM: 24 a) 13 b) 216 c) 49 a) 31, 42, 55 b) 112, 224, 448 Twice; on the 15th and 30th days I assumed there were 30 days in a month. The common multiples of 3 and 5 are 15 and 30. 34; the number is greater than 12 but less than 36. The numbers between 12 and 36 that have a factor of 17 are: 17 and 34. Of these 2 numbers, 17 is a prime number as it has only 2 factors, itself and 1. 12 cards Some possible patterns: 3, 6, 9, 12, 15, … Start at 3. Add 3 to get the next number. 3, 6, 10, 15, 21, … Start at 3. Add 3. Increase the number you add by 1 each time. 3, 6, 12, 24, 48, … Start at 3. Multiply by 2 to get the next number. 3, 6, 18, 72, 360, … Start at 3. Multiply by 2. Increase the number you multiply by, by 1 each time. Many patterns are possible because there are not enough given terms to define the pattern.