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GACE Middle Grades Mathematics (013): Practice & Study Guide  /  Math Courses

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GACE Middle Grades Math: Number Theory Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. What is the least common multiple of 12, 18 and 22?

Question 2 2. For which of the number pairs below could you NOT use the shortcut of simply multiplying the two numbers together to find the LCM?

Question 3 3. Find the LCM of 13 and 15.

Question 4 4. What is the prime factorization of 4?

Question 5 5. Find the GCF of 12 and 25.

Page 2

Question 6 6. Anna and Sarah are girl scouts out selling their cookies from door to door. Anna is able to earn $2 per door. Sarah is able to earn $5 per door. What is the smallest earnings that both Anna and Sarah will have in common?

Question 7 7. Find the GCF of 9 and 45.

Question 8 8. What is the greatest common factor between 9 and 18?

Question 9 9. Which of the following is NOT a way to begin the factor tree for 1230?

Question 10 10. What is the shorthand way of writing the least common multiple?

Page 3

Question 11 11. What is the least common multiple of 24 and 92?

Question 12 12. Which of the following is a prime number?

Question 13 13. Find the GCF of 15 and 35.

Question 14 14. Which of the following is NOT a prime number?

Question 15 15. What is the prime factorization of 4050?

Page 4

Question 16 16. What is the prime factorization of 32?

Question 17 17. Sam has 40 blue balloons and 30 white balloons. He wants to split each set of balloons equally. What is the largest number of groups that Sam can split the balloons into so that both the blue balloons and the white balloons are shared equally between the groups? The number of blue and white balloons in each group do not have to match.

Question 18 18. Find the LCM of 5 and 20.

Question 19 19. What is the least common multiple of 8 and 33?

Question 20 20. What is the short way to write the greatest common factor?

Page 5

Question 21 21. Which sequence of numbers below is a list of multiples?

Question 22 22. What is the least common multiple of 27 and 12?

Question 23 23. What is the prime factorization of 420?

Question 24 24. What is the prime factorization of 17?

Question 25 25. Jake makes $10 dollars an hour and Judy makes $15 dollars an hour. What is the smallest check they can receive so that both their earnings match?

Page 6

Question 26 26. What is the least common multiple between 5 and 15?

Question 27 27. What is the least common multiple of 18 and 42?

Question 28 28. What is the prime factorization of 24 with exponents?

Question 29 29. A factor is defined as the different numbers that can be multiplied together to arrive at the original number. Which choice below is the complete list of factors of 30?

Question 30 30. What number can you divide a prime number evenly by besides itself?

GACE Middle Grades Math: Number Theory Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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