Exercise Worksheets Copyright © 2002 Susan D. Phillips Contents WHOLE NUMBERS STATISTICS 1. Adding 24. Graphs 2. Subtracting 25. Mean, Median & Mode 3. Multiplying 4. Dividing REAL NUMBERS 5. Order of Operations 26. The Basics 27. Add & Subtract FRACTIONS 28. Multiply & Divide 6. Mixed Numbers 7. Prime Factorization ALGEBRA 8. Least Common Multiple 29. Evaluating Expressions 9. Simplifying Fractions 30. Properties 10. Add & Subtract Fractions 31. Simplifying Expressions 11. Add & Subtract Mixed Numbers 32. Equations: Addition Principle 12. Multiply Fractions 33. Equations: Mult. Principle 13. Divide Fractions 34. Multistep Equations 35. Formulas DECIMALS 36. Word Problems 14. Decimals to Fractions 15. Add & Subtract Decimals GEOMETRY 16. Multiply Decimals 37. Lines & Angles 17. Divide Decimals 38. Quadrilaterals 39. Triangles RATIOS & PERCENTS 40. Circles 18. Ratios & Rates 41. Composite Figures 19. Proportions 42. Volume 20. Converting Percents 21. Percents Problems ANSWERS 22. Measurements - American 23. Measurements - Metric Worksheet #1 Adding Whole Numbers Add. 1 47 5 678 9 4389 + 32 + 426 3377 + 1689 2 8 6 2846 10 24,592 5 + 1635 + 46,268 + 1 3 72 7 2504 11 587,938 94 4241 + 629,777 + 3 + 2173 4 25 8 96 12 99,763,500 + 57 5748 + 2,827,449 + 482 Worksheet #2 Subtracting Whole Numbers Subtract. 1 47 5 35 9 776 - 5 - 8 - 498 2 95 6 652 10 1904 - 31 - 251 - 625 3 68 7 821 11 70,801 - 62 - 507 - 62,762 4 87 8 493 12 1,344,192 - 20 - 37 - 804,663 Worksheet #3 Multiplying Whole Numbers Multiply. 1 72 5 205 9 776 x 4 x 34 x 98 2 39 6 376 10 2309 x 6 x 18 x 278 3 81 7 800 11 3650 x 57 x 30 x 400 4 46 8 493 12 79,248 x 72 x 67 x 589 Worksheet #4 Dividing Whole Numbers Divide. Round your answer to the hundredths place. 1 3 156 5 4 1289 9 28 770 2 7 588 6 9 2230 10 289 5801 3 6 39 7 36 1620 11 325 6344 4 5 128 8 61 427 12 76 30,027 Worksheet #5 Order of Operations & Exponents Write in exponent form. Find the value. 1 8 x 8 x 8 x 8 x 8 5 25 2 267 x 267 6 103 3 1 x 1 x 1 x 1 x 1 7 161 4 85 8 370 Calculate. 2 9 3 + 6 - 2 x 7 3 10 7 x (4 - 6) 2 4 3 5 11 2 2 x 3 12 124 - 3 x (7 + 52) 13 20 5 x 2 - (6 + 2) x 7 Worksheet #6 Fractions: Mixed Numbers Identify which of the following are improper fractions. 1 a) 21 b) 4 c) 83 d) 7 2 5 126 6 Change the mixed numbers to improper fractions. 2 2 4 5 3 6 11 17 4 12 8 45 5 9 3 61 41 6 87 69 Change the improper fractions to mixed numbers. 7 8 3 8 10 7 9 56 17 10 132 11 11 94 93 Worksheet #7 Prime Factorization Find all of the factors. 1 6 2 7 3 45 4 20 Identify which of the following numbers are prime: 5 a) 14 b) 4 c) 11 d) 9 e) 3 f) 17 Find the prime factorization. Use exponents when applicable. 6 12 7 60 8 18 9 33 10 105 11 125 12 42 Worksheet #8 Least Common Multiple Find the LCM. 1 2 and 5 7 2, 6, 8 and 12 2 2, 3 and 4 8 3, 4 and 5 3 8 and 10 9 5, 15 and 20 4 6 and 8 10 40 and 180 5 9 and 30 11 108 and 72 6 3, 5, and 6 12 6, 8 and 36 Worksheet #9 Simplifying Fractions Simplify to lowest terms. 1 3 7 100 18 1000 15 50 2 8 25 1000 3 6 9 7 8 341 4 37 10 2 6 37 30 5 66 11 36 99 12 6 35 12 4 29 42 29 Worksheet #10 Adding & Subtracting Fractions Add or subtract as indicated. Reduce to lowest terms. 1 12 + 3 7 8 - 5 17 17 11 11 11 1 7 5 2 + 8 - 12 12 16 16 7 2 8 7 2 3 + + 9 - 10 10 10 9 3 1 2 2 1 4 + 10 - 2 3 3 6 3 1 47 3 5 + 11 - 8 2 50 10 6 5 1 12 1 - 1 6 + 4 2 5 Worksheet #11 Adding & Subtracting Mixed Numbers Add or subtract as indicated. Reduce to lowest terms. 1 1 + 1 7 2 - 1 1 3 2 3 2 3 3 7 5 1 2 3 + 1 8 6 - 3 8 8 2 16 2 3 22 + 4 9 10 - 3 17 3 3 9 3 5 4 16 + 5 10 9 - 5 10 100 8 6 3 9 1 7 5 2 + 11 1 - 5 10 2 10 6 5 1 3 5 2 1 12 2 1 1 3 4 + 8 + 2 2 - 4 Worksheet #12 Multiplying Fractions Multiply. Reduce to lowest terms. 2 1 1 x 3 6 3 2 4 ( 5 ) 5 3 7 5 2 7 3 ( 9 ) ( 10 ) 8 6 15 12 1 1 3 8 2 3 4 5 ( 2 ) ( 5 ) 3 2 1 4 6 x 9 1 3 ( 2 ) 5 3 10 5 5 x 2 16 ( 16 ) (8) 9 25 Worksheet #13 Dividing Fractions Divide. Reduce to lowest terms. 1 1 1 4 6 2 5 1 8 4 1 2 7 2 5 2 5 3 3 9 2 3 8 6 20 10 10 5 3 3 22 4 6 9 2 5 4 25 1 5 7 10 3 4 1 2 7 5 15 Worksheet #14 Decimals to Fractions Find the equivalent fraction. Reduce to lowest terms. 1 0.3 6 18.25 2 0.8 7 0.108 3 0.5 8 1.001 4 3.2 9 4.0012 5 0.41 10 89.3205 Worksheet #15 Adding and Subtracting Decimals Add or subtract as indicated. 1 1.1 + 2.8 6 0.9 - 0.2 2 3.5 + 6.14 7 12.66 - 3.41 3 9.242 + 0.87 8 35.87 - 10.2 4 1.306 + 5.5 + 46.77 9 40.4 - 6.37 5 2.01 + 8 + 0.593 10 28 - 15.59 Worksheet #16 Multiplying Decimals Multiply. 1 0.7 6 702 3.19 x 0.4 2 0.12 7 (1.504) (1000) x 0.6 3 31.002 8 (0.5)2 x 9 4 0.63 9 3.4 x 10 x 100 5 0.0085 10 6.22701 0.018 x 0.044 Worksheet #17 Dividing Decimals Divide. Round your answer Write as an equivalent decimal. to the hundredths place. Round to the thousandths place. 1 9 211.5 6 7 8 5 2 0.2 .31 7 21 3 8 9 4.6 58 10 43 4 9 1.632 0.08 57 81 5 10 8.709 100 20 Worksheet #18 Ratios & Rates Write each ratio as a fraction in low- Write each rate as a fraction in low- est terms. est terms. 1 30 feet to 60 feet 5 48 gallons in 14 mins 2 45 mph to 25 mph 6 21 females to 51 males 3 6 minutes to 16 minutes 7 $4.20 for 36 potatoes 4 $300 to $450 8 72 correct answers out of 96 questions Find the unit rate. 9 1500 meters in 6 seconds 10 192 miles per 6 gallons. 11 5 cars for 20 people 12 $36 for 4 lbs of shrimp Worksheet #19 Proportions Write each proportion. 1 48 is to 32 as 3 is to 2. 2 6 adults is to 10 children as 18 adults is to 30 children. 3 If 12 pens cost $4, then 33 pens will cost $11. Determine if each proportion is true or false: 4 2 7 3 = 16 48 acres 5 acres 5 = 144 bags seed 15 bags seed 6 12 18 28 = 42 Solve each proportion to find the value of “x”. 3 x 7 6 = 8 52 4 8 x = 1 15 10 9 12 = x 10 18 2.4 x = 28 3 x 11 4 = 3.8 1 x 2 3 12 12 = 5 Worksheet #20 Converting Percents Write each percent as a fraction or Write each percent as a decimal. mixed number. Simplify. 1 21% 6 47% 2 5% 7 26.3% 3 14% 8 219% 4 130% 9 .02% 1 1 5 12 10 3 2 % 2 % Write each decimal as a percent. Write each fraction as a percent. 3 11 16 0.33 4 2 12 17 0.04 5 1 13 18 2.51 10 1 14 19 6.8 8 3 15 20 3 2 5 Worksheet #21 Percents Problems Solve. 1 What is 35% of 200? 2 15% of what amount is 6? 3 30 is what percent of 20? 4 Find 102% of 2000. 5 What percent of 80 is 60? 6 14 is 70% of what number? 7 What is 0.5% of 3.2? 8 2.5 is what percent of 4? 9 5 is what percent of 15? 10 12.5% of 32 is what number? 11 What percent of 8.7 is 17.4? 12 What is 3.1% of 60? Worksheet #22 Measurements: American Units Convert. 1 26 ft = in 2 14 pt = qt 3 9 yd = ft 4 12 oz = lb 5 3.5 gal = qt 6 2.43 tons = lb 7 250 min = hr 8 5.5 mi = yd 9 4 days = hours 10 6600 ft = mi Worksheet #23 Measurements: Metric Units Convert.