Practice Computational Mastery Exam General Information This page is part of the practice exam only. Expectations: The Computational Mastery Exam is to address the following MTLE Basic Skills. Though there are many other mathematics basic skills required, it is not reasonable to cover them all in a single computational mastery exam. MTLE Basic Skills: Mathematics 0011 Understand numbers and the number system. demonstrating fluency in computation, including operations on decimals, percents, fractions, and exponents using number sense and different number representations to solve mathematical and real-world problems 0014 Understand measurement concepts. applying formulas to calculate perimeter, circumference, length, area, surface area, volume, and angles for two- and three-dimensional figures in mathematical and real-world situations Students should know basic fraction/percent equivalencies or be able to derive them. For example: 1 1 1 1 3 1 12 % 25% 37 % 50% etc. 2 8 4 2 8 2 2 1 16 % 3 6 10% = 1 10 1 1 33 % 3 3 20% = 1 5 2 2 66 % 3 3 30% = 3 10 1 5 83 % 3 6 40% = 2 5 etc. Passing Score: Must meet all of the following requirements: 1. A comprehensive score of 25 or higher. 2. For each of the subcategories: 1–5: four or five correct. 6–18: ten or more correct. 19–23: four or five correct. 24–30: five or more correct. If a student has obtained a perfect score in a subcategory and has not received a passing score for the exam, then the student does not need to retake that subcategory when retaking the exam. Practice Computational Mastery Exam 1. 70, 658 64,372 172, 002 83, 734 2. 2, 083 58,509 5. 6. 3. 938 207 4. 37 247, 083 Based on the 2010 census, the population of Moorhead was 38,065 and of Fargo was 105,549. What is the combined population of Moorhead and Fargo in 2010? 4 2 9 9 7. 3 3 8 10 8. 5 5 6 9 2 1 11. 7 4 3 4 9. 6 2 7 7 10. 13. 10 14 21 15 5 1 14. 2 3 6 3 1 4 3 5 2 7 15. 3 15 8 32 17. Dana measured two small paper clips. The length of one paper clip measured other paper clip measured 1 5 12. 5 3 6 8 4 1 16. 2 4 7 2 11 of an inch and the 16 3 of an inch long. How much longer is the longer paper clip than the 4 shorter paper clip? 18. What is the surface area of a ball that has a radius of 1 34 inches? Use that π is approximately 3 17 . 19. 9 – 6.207 20. 16.78 + 24 + 0.035 21. 25.9 × 2.4 22. 2.3301 ÷ 0.9 23. Pat paid $38.18 for 9.2 gallons of gas. What was the price per gallon that Pat paid? 24. 14% of 65 25. 66 23 % of 2400 27. What percent of 48 is 12? 26. 210% of 700 28. What percent of 34 is 29? 29. 70% of what number is 40? 30. After the Legacy Amendment passed and went into effect, the Minnesota Sales Tax rate was 6 78 % or 6.875%. What was the final purchase price of a tablet selling for $560? Practice Formula Sheet Note: Not all formulas necessary are listed, nor are all formulas used on this test. Rectangle Area = lw Perimeter = 2l + 2w Triangle Area = Sphere Surface area = 4 r 2 4 Volume = r 3 3 Right cylinder 1 bh 2 Surface area = 2 rh 2 r 2 Volume = r 2 h Right triangle Pythagorean formula: c 2 a 2 b 2 Circle Area = r 2 Circumference = 2 r Rectangular solid Surface area = 2lw + 2lh + 2wh Volume = lwh Practice Computational Mastery Exam Solution Sheet Name_________________ Score_____________ Directions: Any fractions must be simplified to lowest terms. 1. ____________________ 2. ____________________ 3. ____________________ 4. ____________________ 5. ____________________ Subscore__________ ________________________________________________________________________________ Directions: All fractions must be simplified to lowest terms. Improper fractions must be rewritten as mixed numbers. 6. ____________________ 7. ____________________ 8. ____________________ 9. ____________________ 10. ____________________ 11. ____________________ 12. ____________________ 13. ____________________ 14. ____________________ 15. ____________________ 16. ____________________ 17. ____________________ 18. ____________________ Subscore__________ ________________________________________________________________________________ Directions: Do not round any values. 19. ____________________ 20. ____________________ 21. ____________________ 22. ____________________ 23. ____________________ Subscore__________ ________________________________________________________________________________ Directions: Do not round any values. 24. ____________________ 25. ____________________ 26. ____________________ 27. ____________________ 28. ____________________ 29. ____________________ 30. ____________________ Subscore__________ ________________________________________________________________________________