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Grade Six End of Year Math Skills Study Guide Name: Date: Show all work and reduce all fractions to simplest form. Skill 1 – Whole Numbers 1. Write six thousand seven in standard form (numbers). 2. Write (6 X 10,000) + (4 X 1,000) + (3 X 10) + (7 X 1) in standard form (numbers). 3. 2,104 + 237 = ________ 4. 2,000 – 199 = _______ 5. 125 X 21 = ________ 6. 180 ÷ 15 = ________ 7. 800 X 50 = ________ 8. 120,000 ÷ 600 = ________ 9. a. Is 9650 divisible by 2? a. b. Is 9650 divisible by 3? b. c. Is 9650 divisible by 5? c. d. Is 9650 divisible by 6? d. Skill 2 – Decimals 1. Write ten and twenty-five thousandths in standard form (numbers). 5/23/2012 2. Round 379.8951 to the nearest hundredth. Page 1 of 6 Grade Six End of Year Math Skills Study Guide 3. 2.044 + 0.08 = ________ 4. 0.5 – 0.19 = ________ 5. 1.38 X 2.5 = ________ 6. 10 ÷ 2.5 = ________ 7. Write the following numbers in order from least to greatest: 3.08, 3, 3.006, 3.0008, 3.7. 8. Six pounds of cashews costs $43.14. How much does one pound of cashews cost? _______, _______, _______, _______, ________ Skill 3 - Factors and Prime Numbers 1. Which number has the prime factorization 2 X 2 X 3 X 3 X 7 ? 2. Find the prime factorization of 84. 3. What is the greatest common factor of 27 and 36? 4. Find the Least Common Multiple of 4, 8, and 16. 5. List the first 5 prime numbers. Skill 4 - Fraction Operations 1. 5/23/2012 + = ________ 2. 5 - 2 = ________ Page 2 of 6 Grade Six End of Year Math Skills Study Guide 3. 5. X 3 = ________ 4. ÷ = ________ of 20 = ________ Skill 5 - Exponent Awareness 1. Use exponents to show 2 X 2 X 2 X 2 X 2. 2. 32 = ________ 3. (6 – 3)2 = ________ 4. 23 + 42 = ________ 5. 42 – 30 = ________ Skill 6 – Order of Operations 1. 8 – 2 X 4 + 12 ÷ 6 = ________ 2. 15 – 32 + 5 X 2 = ________ 3. Evaluate 3(a – b) for a = 4 and b = 2. 5/23/2012 Page 3 of 6 Grade Six End of Year Math Skills Study Guide Skill 7 - Proportional Reasoning 1. Which ratio is not equivalent to the others? a. 3:5 b. 6:10 c. 9:15 d. 4:7 2. What is the missing term in the proportion = ? 3. Below are two similar figures. Find x. 4. A map has a scale of 1cm : 100km. How many centimeters on the map represent 250km? 20 30 40 x Skill 8 – Fractions, Decimals, and Percents 1. Convert 6.3% to a decimal. 3. Convert tenth. to a percent. Round to the nearest 2. Convert 2.5 to a percent. 4. Suppose the sales tax rate is 6%. How much sales tax would be charged for an item priced at $60.00? Skill 9 - Finding Perimeter and Area of a Square, a Rectangle, and a Triangle – Use a Label with Your Answer 1. Find the perimeter (P) and area (A) of a square with a 7 in. side. 5/23/2012 2. Find the perimeter (P) and area (A) of a rectangle 4 in. wide and 6 in. long. Page 4 of 6 Grade Six End of Year Math Skills Study Guide 3. Find the area (A) of a triangle with base 12 and height 8. 4. Find the perimeter (P) of an equilateral triangle that has 10 in. sides. Skill 10 - Translating Words into Mathematical Expressions 1. Write a variable expression for “10 less than a number”. 2. Write a variable expression for “a number less 10 is 20”. 3. Write a variable expression for “the difference of 7 and a number”. 4. Write a variable expression, in fraction form, for “the quotient of x and 3”. 5. A car travels m miles per hour. Write a variable expression that represents the number of miles traveled in 8 hours. Skill 11 - Solving One−Step Equa:ons 1. Solve x – 3 = 3. 2. Solve n + 1 = 4. 3. Solve 56 = 8t. 4. Solve 5. Solve 5/23/2012 = 12. = 16. Page 5 of 6 Grade Six End of Year Math Skills Study Guide Skill 12 - Solving More Complicated Equations 1. Solve 2x + 1 = 5. 2. Solve + 10 = 50. Skill 13 - Roots and Radicals 1. √36 = ________ 2. √144 − √100 = ________ Skill 14 - Probability and Statistics The weights in pounds of the fish that Carolyn caught are 12, 14, 12, 15, and 17. Find the following information. 1. Mean 2. Median 3. Mode 4. Range 5. How many different combinations of outfits do you have if you are choosing from eight shirts, four pairs of pants, and three different types of shoes? 5/23/2012 Page 6 of 6