3. $100 $200 $300 $400 $500 $200 $300 $400 $500 Ratios and Unit Rates Percent of Change Problem Solving Proportions Probability

4. Ratios and Unit Rates for $100 Write a ratio to represent the number of students who got A’s to the number of students who did not: 6 students out of 16 total students got A’s on the Math Test

5. Answer Ratio: (Favorable:unfavorable) 6:10 = 3:5 Back

6. Ratios and Unit Rates for $200 342 m/min = how many m/day?

7. Answer 342 m/min * 60 min/hr * 24hr/day = 492,480 m/min Back

8. Ratios and Unit Rates for $300 A horse is running 10m/s. How many km/hr is he running?

9. Answer 10m/s * 60s/1min * 60min/1hr * 1km/1000m = 36,000km/1000hr = 36km/hr Back

10. Ratios and Unit Rates for $400 What is the difference between probability and odds?

11. Answer Probability = (favorable)/(total) Odds = (favorable)/(unfavorable) Back

12. Ratios and Unit Rates for $500 The ratio of boys to girls in a classroom is 3:4. If there are 12 girls in the classroom, how many total students are in the classroom?

13. Answer 3/4 = x/12 4x = 36 x = 9 boys So, 9 boys + 12 girls = 21 total students Back

14. Percent of Change for $100 What is the percent change on a pair of shoes that originally cost $45, but are on sale for $36?

15. Answer (Original – New) / Original * 100 ($45 - $36)/ $45 * 100 =($9)/$45 * 100 =.20 * 100 = 20% decrease Back

16. Percent of Change for $200 After buying a car for $12,500 a dealer sells the car for $15,750. What is the percent change in the price of the car?

17. Answer (Original – New) / Original * 100 (12,500 – 15,750)/ 12,500 *100 = (-3250)/12500 * 100 = -0.26 * 100 = -26% = 26% Increase Back

18. Percent of Change for $300 What is the markup on an ipod if the store buys it for $130 and then increases the price by 53.1%?

19. Answer Markup: 130 * 0.531= $69.03 Back

20. Percent of Change for $400 A store buys a pair of shoes for $12 and then marks them up by 427%. What is the final selling price?

21. Answer Back Markup: 12*4.27 = $51.24 Selling price = $12 + $51.24 = $63.24

22. Percent of Change for $500 A store decides to have a sale and discounts everything in the store by 35%. If an item originally costs $273, what is the amount of discount and the final selling price?

23. Answer Back Discount: $273 * 0.35 = $95.55 Selling Price = $273 - $95.55 = $177.45

24. Proportions for $100 Solve for x: 5 = x_ 8 20

25. Answer 5/8 = x/20 8x = 100 x = 12.5 Back

26. Proportions for $200 Solve for x: (X-7) = _6_ 5 15

27. Answer (X-7)/5 = 6/15 5*6 = 15(x-7) 30 = 15x – 105 135 = 15x 9 = x Back

28. Proportions for $300 Solve for x: 5 = 12_ (x-3) (x+3)

29. Answer 5/(x-3) = 12/(x+3) 5(x+3) = 12(x-3) 5x + 15 = 12x – 36 15 = 7x – 36 51 = 7x 7.29 = x Back

30. Proportions for $400 Given that the triangles below are similar, solve for x and y 10m 14m Y 6m 10m X

31. Answer Set up two proportions: 1)6m/10m = X/14 10x = 84 x = 8.4m 2) 6m/10m = 10/y 100 = 6y 16.67 = y Back

32. Proportions for $500 Find the height of the tree given that the boy is 4 feet tall 2.5 ft 10 ft

33. Answer Set up a proportion: 2.5ft/10ft = 4/x Cross Multiply 40 =2.5x X = 16 ft tall Back

34. Probability for $100 If I roll a dice one time, what is the probability of rolling a one or a three? i.e. P(1 or 3) = ?

35. Answer Number of Items in Sample Space = 6 Sample Space {1 2 3 4 5 6} Probability = 2/6 or 1/3 Back

36. Probability for $200 If I flip a coin 4 times, what is the probability of the same face showing up all 4 times? i.e. Either H-H-H-H or T-T-T-T

37. Answer Elements in Sample Space = 2*2*2*2 = 16 P(H-H-H-H) = 1/16 P(T-T-T-T) = 1/16 P(H-H-H-H OR T-T-T-T) = (1/16) + (1/16) = 2/16= 1/8 Back

38. Probability for $300 Suppose you choose an m&m from a bag containing 5 blue m&m’s, 4 red m&m’s and 7 yellow m&m’s, and the one you pick is blue. You then pick another m&m. Find P(yellow)

39. Answer P(yellow) Number of m&m’s = 5+4+7 = 16 After you pick one blue one there are 15 m&ms left: 4 blues, 4 reds, and 7 yellows. So, P(yellow) = 7/15 Back

40. Probability for $400 Draw the sample space (list all possible outcomes) for the following event: You flip a coin, and then spin the spinner shown below.

41. Answer Back H-O H-P H-Y H-G H-R T-O T-P T-Y T-G T-R { }

42. Probability for $500 I spin the spinner shown below, and then roll a dice. Find P(Red and 2)

43. Answer Number of elements in sample space: 5 * 6 = 30 P(Red) = 1/5 P(2) = 1/6 P(Red and 2) = (1/5) * (1/6) = 1/30 (There is only one possible outcome out of the 30 that satisfies the conditions of the event) Back

44. Problem Solving for $100 Find three consecutive integers whose sum is 99

45. Answer Let x = the smallest of the three integers, then: x + (x+1) + (x+2) = 99 3x + 3 = 99 3x = 96 x = 32, x+1 = 33, x+2 = 34 Back

46. Problem Solving for $200 Find four consecutive EVEN integers whose sum is 108.

47. Answer Let x = the smallest of the four integers, then: x + (x+2) + (x+4) + (x+6) = 108 4x + 12 = 108 4x = 96 x = 24, x+2 = 26, x+4 = 28, x+6=30 Back

48. Problem Solving for $300 If Thuy puts $500 into a bank account which pays 3.5% interest every month, how much money will she have after 6 months?

49. Answer Back Time (Months) Starting Amount RateAmount of Increase Final Amount 1$5000.035$17.50$517.50 2 0.035$18.11$535.61 3 0.035$18.75$554.36 4 0.035$19.40$573.76 5 0.035$20.08$593.84 6 0.035$20.78$614.62

50. Problem Solving for $400 Andrew has 5 shirts, 3 pants, and 2 pairs of shoes. How many different combinations of outfits of 1 shirt, 1 pair of pants and 1 pair of shoes are possible?

51. Answer Ways to solve: *Make a table of all possible combinations *Do 5*3*2 = 30 possible combinations. Back

52. Problem Solving for $500 The population of HCMC was approximately 6,117,251 in 2004. The annual growth rate is approximately 3%. Assuming these figures are correct, what will the population of HCMC be at the end of 2011?

53. Answer Back Time (year) Starting Amount RateAmount of Increase Final Amount 200461172510.03183517.56300768.5 20056300768.50.03189023.16489791.6 20066489791.60.03194693.76684485.3 20076684485.30.03200534.66885019.9 20086885019.90.03206550.67091570.5 20097091570.50.03212.747.17304317.6 20107304317.60.03219129.57523447.1 20117523447.10.03225703.47,749,151