This document provides information and examples about ratios, proportions, percents, rates, conversions, similar figures and scale, probability, and odds. It includes examples of converting between rates, fractions, decimals and percents. It also covers finding unit rates, proportions, scale drawings, probability, odds, and the differences between ratios, rates, and proportions.

1. Ratio, Proportion and Percents MATH

4. Rates

5. Conversions

6. Proportions

7. Similar Figures and Scale

8. Probability and Odds

9. Ratio

10. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $ 100 $200 $300 $400 $500 Ratio Rates Conversions Proportions Similar Figures and Scale Probability and Odds

11. How do you change a rate into a unit rate?

12. What is you make the denominator equal 1 by dividing the numerator and denominator by the denominator?

13. I traveled 291 miles with 6 gallons of gas (in my Prius). Change that to a unit rate (round to the nearest tenth if necessary).

14. What is 48.5miles/gallon?

15. I paid $5.99 for 64oz of ice-cream. Find the cost (to the nearest penny) per ounce.

16. What is $0.09/oz?

17. Change each to a unit rate to determine which is the better deal: A: $2.05 for 16lb B $3.92 for 28lb

18. What is choice A ($0.13/lb)?

19. Jerry threw 84 strikeouts in 10 games. Tom had 60 in 8 games. Who has the better strikeouts per game average and by how much?

20. Who is Jerry by 0.9 strikeouts per game?

21. Change 0.254 to a percent.

22. What is 25.4%?

23. Convert 5/25 to a decimal and percent

24. What is 0.2 and 20%?

25. Convert 0.6% to a decimal and fraction (in lowest terms)

26. What is 0.006 and 3/500?

27. Convert to a decimal and percent 8 3 5

28. What is 5.375 and 537.5%?

29. Convert 1.852 to a fraction and percent

30. What is and 185.2% ? 250 213 1

31. Do the ratios below form proportion? How can you tell? 4 12 2 = 8

32. What is no, because 8x4 does not equal 12x2?

33. Do the ratios below form proportion? Prove it. 12.4 3.1 15.2 = 3.8

34. What is yes 3.8x12.4 = 3.1x15.2 (47.12)?

35. Find n. Round to the nearest tenth. 8 9 9 = n

36. What is h = 10.1?

37. Find p. Round to the nearest tenth. 9 20 p = 16

38. What is p = 7.2?

39. 12 bags of potatoes cost $30. How many bags can you buy for $510?

40. What is 204 bags?

41. What are the characteristics of similar figures and what does the sign for similar figures look like?

42. Similar figures (1) have the same shape (equal angles) and (2) their sides are in proportion. The sign indicating similarity looks like ~.

43. Two cities are 350 miles apart. A map uses a scale of 2.5cm:20miles. How far apart are the cities on the map?

44. What is 43.75cm?

45. A model of a T-Rex uses a scale of 4.5in:7ft. The arms of the model are 1.9in long. How long were the T-Rex’s arms in real life (round to the nearest foot)?

46. What is 3ft?

47. Find y in these similar figures. y 5in 90in 24in

48. What is y = 18.75in?

49. Find g and h in these similar figures. 3m g h 10.5m 14m 7m

50. What is h = 4m and g = 2m?

51. Explain the difference between probability and odds.

52. Probability is the amount of successful outcomes over total possible outcomes. Odds are the amount of successful outcomes over unsuccessful outcomes.

53. Find the probability of rolling a number less than 3 on an eight sided die numbered 1-8.

54. What is 1/4?

55. Find the odds in favor of choosing a green M&M out of a bag containing 6 orange, 3 yellow, 5 green and 2 blue M&Ms.

56. What is 5:11?

57. Use all 26 letters of the alphabet to answer the following: P(a vowel or a consonant) P( П ) P(a letter in the word ‘street’)

58. What is P(a vowel or a consonant) = certain, 1 P( П ) = impossible, 0 c. P(a letter in the word ‘street’) = 2/13

59. You create a game where two players roll a number cube. Player A gets 2 points if it lands on 1 or 2. Player B gets 2 points if it lands on 3 or 4 and both players get 0 points if it lands on 5 or 6. Is this a fair game?

60. What is yes because both players have the same probability of scoring 2 points 1/3 and scoring no points 1/3?

61. What is the difference between a ratio and a rate?

62. A ratio compares two numbers and a rate is a type of ratio that compares two quantities using different units.

63. Describe the ratios formed by the figure below in 4 different ways?

64. What is 3 shaded : 8 total 8 total : 3 shaded 5 unshaded : 8 total 8 total : 5 unshaded 5 unshaded : 3 shaded 3shaded : 5 unshaded

65. What are three ways of writing a ratio? (You can use any numbers to make your ratios)

66. What is 2 : 5 2 to 5 and ? 5 2

67. Write as a ratio in simplest form: 70 homes out of 125 have a computer with internet access.

68. What is 14 to 25?

69. A recent poll PA residents found the following results: Write the following ratios in simplest form: number in favor of Clinton to Obama number of undecided to total 24 Undecided 72 Obama 104 Clinton # in favor Candidate

70. What is 13 to 9 3 to 25