Indiana Academic M.A.T.H. Bowl. Area February 27, 2014

Transcription

1 Indiana Academic M.A.T.H. Bowl Area February 27, 2014

2 Begin Round One

3 2014 MATH Area Round 1 Number 1 30 seconds The blacksmith made 51 horseshoes to fit his horses. What is the greatest number of horses that can get a full set of 4 shoes? A. 10 B. 11 C. 12 D. 13

4 2014 MATH Area Round 1 Number 1 The blacksmith made 51 horseshoes to fit his horses. What is the greatest number of horses that can get a full set of 4 shoes? C = 12 R 3

5 M.A.T.H. Area 2014 Round 1 Number 2 30 seconds As the result of a huge contest, 2,500 people each get equal shares of a $5.3 million prize. How much does each person get? A. $21.20 B. $2,120 C. $21,200 D. $212,000

6 M.A.T.H. Area 2014 Round 1 Number 2 As the result of a huge contest, 2,500 people each get equal shares of a $5.3 million prize. How much does each person get? B. $2,120 5 million is 5,000, million is 5,300,000 5,300,000/25,000 = $2,120

7 M.A.T.H. Area 2014 Round 1 Number 3 30 seconds Natalie has a bag that contains 1 black, 3 blue, 1 green, 1 yellow, and 2 red marbles. She has pulled 1 blue marble from the bag and did not put it back. What is the probability, as a whole percent, that the next selection will be blue? A. 28% B. 29% C. 37% D. 38%

8 M.A.T.H. Area 2014 Round 1 Number 3 Natalie has a bag that contains 1 black, 3 blue, 1 green, 1 yellow, and 2 red marbles. She has pulled 1 blue marble from the bag and did not put it back. What is the probability, as a whole percent, that the next selection will be blue? B. 29% 2 blue left out of 7 marbles

9 M.A.T.H. Area 2014 Round 1 Number 4 Clayton is recording the results of his science experiment every 5 minutes. The temperature is controlled so it drops 3 o F every minute. The temperature is 90 o F at 2 p.m. When will the temperature reach 45 o F? A. 2:05 p.m. B. 2:10 p.m. C. 2:15 p.m. D. 2:20 p.m. 45 seconds

10 M.A.T.H. Area 2014 Round 1 Number 4 Clayton is recording the results of his science experiment every 5 minutes. The temperature is controlled so it drops 3 o F every minute. The temperature is 90 o F at 2 p.m. When will the temperature reach 45 o F? C. 2:15 p.m = 45 degrees it must drop 45/3 = 15 minutes after starting time.

11 M.A.T.H. Area 2014 Round 1 Number 5 45 seconds Tally owns 100 shares of stock in a toy company that was worth $149 per share. A month later, the stock market dropped and her shares were now worth $120 per share. What is the percent of decrease in the value of her stock? A. 15% B. 19% C. 20% D. 29%

12 M.A.T.H. Area 2014 Round 1 Number 5 Tally owns 100 shares of stock in a toy company that was worth $149 per share. A month later, the stock market dropped and her shares were now worth $120 per share. What is the percent of decrease in the value of her stock? B. 19% L ( ) / 149 = Which rounds to 19%

13 M.A.T.H. Area 2014 Round 1 Number 6 60 seconds What is the probability of getting exactly two heads with 4 coin tosses? A. 1/4 B. 1/8 C. 3/16 D. 6/16

14 M.A.T.H. Area 2014 Round 1 Number 6 What is the probability of getting exactly two heads with 4 coin tosses? D. 6/16 H H H H H H H T H H T H H H T T H T H H H T H T H T T H H T T T T H H H T H H T T H T H T H T T T T H H T T H T T T T H T T T T

15 M.A.T.H. Area 2013 Round 1 Number 7 60 seconds Dave s math quiz scores were 56, 82, 77, 80, 92, 100, 92, and 93. Which measure of central tendency should Dave report to make himself look the best? A. mean B. mode C. median D. range

16 M.A.T.H. Area 2013 Round 1 Number 7 Dave s math quiz scores were 56, 82, 77, 80, 92, 100, 92, and 93. Which measure of central tendency should Dave report to make himself look the best? B. mode Mean is 672/8 = 84 Mode is 92 Median is ( )/2 = 87 So mode has the greatest value.

17 M.A.T.H. Area 2014 Round 1 Number 8 Gary sells sweatshirts. He buys the sweatshirts for $27 each and adds a 60% markup. Gary then offers a sale where a customer buys one at regular price and gets the second for half price. How much money does Gary make on the sale of such a pair of sweatshirts? A. $10.00 B. $10.20 C. $10.40 D. $ seconds

18 M.A.T.H. Area 2014 Round 1 Number 8 Gary sells sweatshirts. He buys the sweatshirts for $27 each and adds a 60% markup. Gary then offers a sale where a customer buys one at regular price and gets the second for half price. How much money does Gary make on the sale of such a pair of sweatshirts? D. $10.80 $27.00(0.60) = $16.20 markup $27 + $16.20 = $43.20 regular price Customer buys 2 shirts: $ $21.60 = $64.80 Gary s sale - cost = profit $ $27(2) = $10.80

19 End Round One

20 Begin Round Two

21 M.A.T.H. Area 2014 Round 2 Number 1 The 6 th grade sells flavored sugar cookies with nuts. How many choices are offered if each cookie has one flavor and one nut? Flavor choices: chocolate, cinnamon, or butterscotch Nut choices: pecans, walnuts, or almonds A. 9 B. 10 C. 11 D seconds

22 M.A.T.H. Area 2014 Round 2 Number 1 The 6 th grade sells flavored sugar cookies with nuts. How many choices are offered if each has one flavor and one nut? Flavor choices: chocolate, cinnamon, or butterscotch Nut choices: pecans, walnuts, or almonds A. 9 3 x 3 = 9 by the counting principle

23 M.A.T.H. Area 2014 Round 2 Number 2 30 seconds Taylor ate 1/3 of a large candy bar. He gives each friend 1/6 of the whole bar. How many friends will receive a fractional piece of the candy bar? A. 2 B. 3 C. 4 D. 5

24 M.A.T.H. Area 2014 Round 2 Number 2 Taylor ate 1/3 of a large candy bar. He gives each friend 1/6 of the whole bar. How many friends will receive a fractional piece of the candy bar? C. 4 2/3 1/6 2/3 x 6 12/3 4 Or 1/3 is 2/6. That means 2 friends get 1/3 or 4 friends get 2/3.

25 M.A.T.H. Area 2014 Round 2 Number 3 During the months of July and August, Mark worked part time at his dad s jewelry store. He worked weekly totals of 35, 40, 37, 20, 30, 37, 31, and 29 hours. What is the median number of hours that Dave worked each week? A. 34 hours B. 33 hours C. 36 hours D. 32 hours 30 seconds

26 M.A.T.H. Area 2014 Round 2 Number 3 During the months of July and August, Mark worked part time at his dad s jewelry store. He worked weekly totals of 35, 40, 37, 20, 30, 37, 31, and 29 hours. What is the median number of hours that Dave worked each week? B. 33 hours The median is halfway between 31 and 35

27 M.A.T.H. Area 2014 Round 2 Number 4 45 seconds What numbers are missing from the bottom row? ????? 1 A B C D

28 M.A.T.H. Area 2014 Round 2 Number 4 45 seconds What numbers are missing from the bottom row? ????? 1 B There are many patterns in Pascal s Triangle. Each row starts and ends with one. The inner entries are the sums of the two numbers above them. So 1+5=6, 5+10=15, 10+10=20, 10+5=15, and 5+1=6.

29 M.A.T.H. Area 2014 Round 2 Number 5 45 seconds Don s Discount Sporting Goods has ten different types of soccer shoes for the following prices: $55, $60, $88, $60, $32, $80, $48, $64, $80, and $60. What is the mean (Mn), Median (md), mode (Mo), and range (R) of his shoe prices? A. Mn-62.7, Md-60, Mo-60, R-56 B. Mn-62.7, Md-56, Mo-60, R-56 C. Mn-62.7, Md-62.7, Mo-60, R-56 D. Mn-62.7, Md-63, Mo-60, R-56

30 M.A.T.H. Area 2014 Round 2 Number 5 Don s Discount Sporting Goods has ten different types of soccer shoes for the following prices: $55, $60, $88, $60, $32, $80, $48, $64, $80, and $60. What is the mean (Mn), Median (md), mode (Mo), and range (R) of his shoe prices? A.Mn-62.7, Md-60, Mo-60, R-56 As answers were read, it should have become clear that only the median was needed. 32, 48, 55, 60, 60, 60, 64, 80, 80, 88

31 M.A.T.H. Area 2014 Round 2 Number 6 Tom wanted to buy a new stereo. The store he wanted to buy it from was selling it for $ This weekend they were discounting it by 15%. If the sales tax was 8%, what was Tom s total cost to buy the stereo? A. $ B. $ C. $ D. $ seconds

32 M.A.T.H. Area 2014 Round 2 Number 6 Tom wanted to buy a new stereo. The store he wanted to buy it from was selling it for $ This weekend they were discounting it by 15%. If the sales tax was 8%, what was Tom s total cost to buy the stereo? B. $ $459.99(0.15) = $69.00 discount $ $69.00 = $ sale price $390.99(0.08) = $31.28 sales tax Total = $422.27

33 M.A.T.H. Area 2014 Round 2 Number 7 60 seconds Farmer Fred has goats and chickens. Fred s animals have 25 heads and 80 legs. How many goats and how many chickens does he have? A. 10 goats and 15 chickens B. 15 goats and 10 chickens C. 12 goats and 13 chickens D. 13 goats and 12 chickens

34 M.A.T.H. Area 2014 Round 2 Number 7 Farmer Fred has goats and chickens. Fred s animals have 25 heads and 80 legs. How many goats and how many chickens does he have? B.15 goats and 10 chickens The easiest way to solve this is to check the four given solutions. All add up to 25 animals. Goats have 4 legs and chickens have 2 legs each. 15(4) = 60 goat legs 10(20 = 20 chicken legs = 80 total legs

35 M.A.T.H. Area 2014 Round 2 Number 8 60 seconds Bob goes to a shirt sale where you buy 1 shirt and you get the second shirt (the lesser price) for half price. He buys two shirts. The first shirt cost $29.90 and the second shirt cost $ He also had to pay a 7% sales tax on his purchase. How much does he pay for both shirts with tax? A. $36.86 B. $39.65 C. $42.42 D. $42.43

36 M.A.T.H. Area 2014 Round 2 Number 8 Bob goes to a shirt sale where you buy 1 shirt and you get the second shirt (the lesser price) for half price. He buys two shirts. The first shirt cost $29.90 and the second shirt cost $ He also had to pay a 7% sales tax on his purchase. How much does he pay for both shirts with tax? D. $42.43 $ (half of $19.90) $ sales tax $42.43

37 End Round Two

38 Begin Round Three

39 M.A.T.H. Area 2014 Round 3 Number 1 On Monday, Dalton worked 45 minutes on his project. Tuesday, he worked 1 hour and 15 minutes. He completed it Wednesday after only 25 more minutes. How much time did he spend on his project? A. 2 hours and 25 minutes B. 2 hours C. 2 ½ hours D. 3 hours 30 seconds

40 M.A.T.H. Area 2014 Round 3 Number 1 On Monday, Dalton worked 45 minutes on his project. Tuesday, he worked 1 hour and 15 minutes. He completed it Wednesday after only 25 more minutes. How much time did he spend on his project? A. 2 hours and 25 minutes 45 minutes + 1 hour 15 minutes = 2 hours Then add Wednesday s time

41 M.A.T.H. Area 2014 Round 3 Number 2 Find the mystery number: - It is a mixed number. - Each term is a different prime number. - The sum of the fraction s terms equals the whole number part. - It is between 10 and 15. A. 7 5/7 B. 11 2/9 C. 12 2/10 D. 13 2/11 30 seconds

42 M.A.T.H. Area 2014 Round 3 Number 2 Find the mystery number: - It is a mixed number. - Each term is a different prime number. - The sum of the fraction s terms equals the whole number part. - It is between 10 and 15. D. 13 2/11 All choices were mixed numbers. B & C include composite numbers. Answer A is less than 10 and had two terms the same. 13 =

43 M.A.T.H. Area 2014 Round 3 Number 3 In a game Jack plays, a dice and a spinner are used. The spinner has four equal sections: green, blue, yellow, and red. What is the probability of Joe rolling the number 1 or 2 and landing on the color red? A. 1/12 B. 7/12 C. 1/7 D. 1/24 30 seconds

44 M.A.T.H. Area 2014 Round 3 Number 3 In a game Jack plays, a dice and a spinner are used. The spinner has four equal sections: green, blue, yellow, and red. What is the probability of Joe rolling the number 1 or 2 and landing on the color red? A. 1/12 (2/6)(1/4) = 2/24 or 1/12

45 M.A.T.H. Area 2014 Round 3 Number 4 The State of Indiana is one of seven states that have the cardinal as their state bird. Three of the fifty states have the robin as their state bird, and 12% have a mockingbird as their state bird. Rank the state birds from GREATEST to LEAST percent. A. cardinal, robin, mockingbird B. robin, mockingbird, cardinal C. mockingbird, cardinal, robin D. cardinal, mockingbird, robin 45 seconds

46 M.A.T.H. Area 2014 Round 3 Number 4 The State of Indiana is one of seven states that have the cardinal as their state bird. Three of the fifty states have the robin as their state bird, and 12% have a mockingbird as their state bird. Rank the state birds from GREATEST to LEAST percent. D. cardinal, mockingbird, robin Cardinal 7 of 50 is 14% Mockingbird given at 12% Robin 3 of 50 is 6% Or Cardinal 7 of 50 Mockingbird is 6 of 50 Robin is 3 of 50

47 M.A.T.H. Area 2014 Round 3 Number 5 Chuck went with his parents to buy a new school backpack. The $49.95 bag that he chose was on sale at a discount of 15%. Today only, the discounted price will be reduced by another 10%. What is the final sale price of the bag, before tax? A. $38.21 B. $38.22 C. $37.46 D. $ seconds

48 M.A.T.H. Area 2014 Round 3 Number 5 Chuck went with his parents to buy a new school backpack. The $49.95 bag that he chose was on sale at a discount of 15%. Today only, the discounted price will be reduced by another 10%. What is the final sale price of the bag, before tax? A.$38.21 $49.95(0.15) = $7.49 first 15% discount on regular price $ $7.49 = $42.46 sale price $42.46(0.10) = $4.25 second discount on sale price $ $4.25 = $38.21 final sale price

49 M.A.T.H. Area 2014 Round 3 Number 6? 250 ft. 300 feet The perimeter of the wheat field is 982 feet. What is the length of the missing left side measure? A. 170 feet B. 300 feet C. 50 feet D. 191 feet 45 seconds 50 feet 170 feet

50 M.A.T.H. Area 2014 Round 3 Number 6? 250 ft. 300 feet The perimeter of the wheat field is 982 feet. What is the length of the missing side measure? D. 191 feet 50 feet 170 feet The field is rectangular so left and right sides are the same length. Thus the left side is feet.

51 M.A.T.H. Area 2014 Round 3 Number 7 45 seconds The year 2013 was a composite year because 2013 = 3 x 11 x 61. What are the prime factors of 2014? Is it a composite year? A = 2 X 1007 so it is prime B = 19 x 106 so it is prime C = 38 x 53 so it is composite D = 2 x 19 x 53 so it is composite

52 M.A.T.H. Area 2014 Round 3 Number 7 The year 2013 was a composite year because 2013 = 3 x 11 x 61. What are the prime factors of 2014? Is it a composite year? D = 2 x 19 x 53 so it is composite 2014 / \ 2 X 1007 / / \ 2 x 19 x 53

53 M.A.T.H. Area 2014 Round 3 Number 8 60 seconds Continue the sequence 0, 1, 8, 27, 64, A. 125, 216, 343, 512, 729,... B. 127, 225, 364, 515, 735, C. 130, 267, 369, 525, 740, D. 135, 275, 374, 575, 754,

54 M.A.T.H. Area 2014 Round 3 Number 8 Continue the sequence 0, 1, 8, 27, 64, A. 125, 216, 343, 512, 729,... Think of the volume of cubes: 1 x 1 x 1 = 1 2 x 2 x 2 = 8 3 x 3 x 3 = 27 4 x 4 x 4 = 64 5 x 5 x 5 = x 6 x 6 = x 7 x 7 = x 8 x 8 = x 9 x 9 = 729

55 End Round Three

56 Begin Round Four

57 M.A.T.H. Area 2014 Round 4 Number 1 45 seconds Bill has a bag of straws that contains 13 red, 12 blue, 15 yellow, and 8 green straws. If he picks a straw at random, what is the probability that the straw will be green or blue? A. 1/24 B. 1/6 C. 1/4 D. 5/12

58 M.A.T.H. Area 2014 Round 4 Number 1 Bill has a bag of straws that contains 13 red, 12 blue, 15 yellow, and 8 green straws. If he picks a straw at random, what is the probability that the straw will be green or blue? D. 5/12 8 green + 12 blue 48 total 20/48 or 5/12

59 M.A.T.H. Area 2014 Round 4 Number 2 45 seconds Bob was playing a card game. Before discarding, he had 5 blue cards, 2 green cards, 3 red cards, and 1 gold card. If he discards 1 of his red cards, what percent of his remaining cards are green? A.20% B.18% C.10% D.2%

60 M.A.T.H. Area 2014 Round 4 Number 2 Bob was playing a card game. Before discarding, he had 5 blue cards, 2 green cards, 3 red cards, and 1 gold card. If he discards 1 of his red cards, what percent of his remaining cards are green? A. 20% 2 green in 10 remaining cards

61 M.A.T.H. Area 2014 Round 4 Number 3 30 seconds At the Girl Scout bake sale, Sue sold ½ of the cupcakes. Jane sold 2/9 of the cupcakes. What fraction of the cupcakes were sold by these two girls? A. 3/11 B. 13/18 C. 1/2 D. 7/9

62 M.A.T.H. Area 2014 Round 4 Number 3 At the Girl Scout bake sale, Sue sold ½ of the cupcakes. Jane sold 2/9 of the cupcakes. What fraction of the cupcakes were sold by these two girls? B. 13/18 1/2 + 2/9 9/18 + 4/18 13/18

63 M.A.T.H. Area 2014 Round 4 Number 4 45 seconds 40% of a number is 42. What is 50% of that number? A B. 70 C. 105 D. 142

64 M.A.T.H. Area 2014 Round 4 Number 4 40% of a number is 42. What is 50% of that number? A % is 40% + 40% + 20% = 105. Now divide by 2 to get 50%

65 M.A.T.H. Area 2014 Round 4 Number 5 45 seconds Kathy earns $7.25 an hour working part-time at the library. One week she worked 18 hours and 48 minutes. How much did she earn that week? A. $ B. $ C. $ D. Not given

66 M.A.T.H. Area 2014 Round 4 Number 5 Kathy earns $7.25 an hour working part-time at the library. One week she worked 18 hours and 48 minutes. How much did she earn that week? B. $ minutes/60 minutes = 0.8 hour $7.25(18.8 hours) = $136.30

67 M.A.T.H. Area 2014 Round 4 Number 6 45 seconds A birthday party at a paintball place cost $200 plus $6.00 per person. They also charge an 8% state tax on the total. What would be the total cost for a party if 30 people attend? A. $ B. $ C. $ D. $410.40

68 M.A.T.H. Area 2014 Round 4 Number 6 A birthday party at a paintball place cost $200 plus $6.00 per person. They also charge an 8% state tax on the total. What would be the total cost for a party if 30 people attend? D. $ $200 + $6(30) = $380 total $380(0.08) = + $22.40 sales tax Total cost $410.40

69 M.A.T.H. Area 2014 Round 4 Number 7 60 seconds Points a college basketball team scored in the last 10 games. Which conclusion can we draw from the data? A had both a higher mean and median. B had both a higher mean and median. C. The team had a higher mean but a lower median. D. None of the statements can be concluded from the data.

70 M.A.T.H. Area 2014 Round 4 Number 7 Points a college basketball team scored in the last 10 games. Which conclusion can we draw from the data? B had both a higher mean and median. Put the data in order to find the median and it should be clear that the mean is also higher for

71 M.A.T.H. Area 2014 Round 4 Number 8 60 seconds Bruce is playing a board game that requires two dice. He is just seven spaces away from winning the game. What is the probability of rolling a seven on his next turn? A. 1/12 B. 1/6 C. 1/2 D. 7/36

72 M.A.T.H. Area 2014 Round 4 Number 8 Bruce is playing a board game that requires two dice. He is just seven spaces away from winning the game. What is the probability of rolling a seven on his next turn? B.1/6 There are 6 ways to roll a seven out of 36 possible rolls. The favorable rolls are (1,6) (2,5) (3,4) (4,3) (5,2) (6,1).

73 End Round Four

74 Begin Round Alternate

75 M.A.T.H. Area 2014 Round Alternate Number 1 30 seconds What is the value of X 5 11? A. 12 B. 24 C. -13 D. 6

76 M.A.T.H. Area 2014 Round Alternate Number 1 What is the value of X 5 11? A. 12 Order of Operations tell us to multiply first, then add and subtract left to right x

77 M.A.T.H. Area 2014 Round Alternate Number 2 Joe s math teacher Mr. Wiant put all of his students names in a container. There were 8 boys and 11 girls names in the container. He pulled out 2 girls names to put problems on the board. If he pulls out another name, what is the probability he pulls out a boy s name? A. 1/8 B. 3/8 C. 8/19 D. 8/17 45 seconds

78 M.A.T.H. Area 2014 Round Alternate Number 2 Joe s math teacher Mr. Wiant put all of his students names in a container. There were 8 boys and 11 girls names in the container. He pulled out 2 girls names to put problems on the board. If he pulls out another name, what is the probability he pulls out a boy s name? D. 8/17 8 boys + 9 girls = 17 students left 8 boys/17 students

79 M.A.T.H. Area 2014 Round Alternate Number 3 30 seconds In a survey of 400 people, 65% said they recycle their old newspapers. How many of the people do not recycle their newspapers? A. 35 people B. 65 people C. 140 people D. 260 people

80 M.A.T.H. Area 2014 Round Alternate Number 3 In a survey of 400 people, 65% said they recycle their old newspapers. How many of the people do not recycle their newspapers? C. 140 people 100% - 65% = 35% do NOT recycle paper 400(0.35) = 140 people

81 M.A.T.H. Area 2014 Round Alternate Number 4 James finished his homework at 8:00 p.m. Prior to this, he spent 50 minutes with his batting coach. Next, he ran laps for 45 minutes, then he spent an hour fielding. He spent 35 minutes on his homework. What time did he begin practice? A. 4:00 p.m. B. 4:50 p.m. C. 5:00 p.m. D. 6:00 p.m. 45 seconds

82 M.A.T.H. Area 2014 Round Alternate Number 4 James finished his homework at 8:00 p.m. Prior to this, he spent 50 minutes with his batting coach. Next, he ran laps for 45 minutes, then he spent an hour fielding. He spent 35 minutes on his homework. What time did he begin practice? B. 4:50 p.m = 190 minutes 190 minutes = 3 hours 10 minutes 8:00 7:60-3:10-3:10 4:50

83 M.A.T.H. Area 2014 Round Alternate Number 5 45 seconds In a basketball game, Austen made 6 field goals for 12 points. Austen had 10 shot attempts. Alan attempted 5 shots. If Alan had the same ratio of field goals to shot attempts, how many points did Alan have? A. 3 B. 6 C. 8 D. 10

84 M.A.T.H. Area 2014 Round Alternate Number 5 In a basketball game, Austen made 6 field goals for 12 points. Austen had 10 shot attempts. Alan attempted 5 shots. If Alan had the same ratio of field goals to shot attempts, how many points did Alan have? B. 6 AUSTEN 6 field goals 10 shot attempts ALAN? field goals 5 shot attempts Thus, Alan made 3 field goals for 6 points

85 2014 MATH Area Round Alternate Number 6 45 Seconds Which group of numbers has the greatest mean? A. 12, 11, 6, 19 B. 18, 8, 13, 12 C. 12, 17, 14, 11 D. 18, 10, 13, 12

86 2014 MATH Area Round Alternate Number 6 Which group of numbers has the greatest mean? A. ( ) / 4 = 12 B. ( ) / 4 = C. ( )/ 4 = 13.5 D. ( ) / 4 = Note: only totals are needed since each list has 4 terms.

87 M.A.T.H. Area 2014 Round Alternate Number 7 60 seconds Willy has 18 marbles in a bag. He tried to give each of his six friends at least one marble but no two friends the same number of marbles. He doesn t have enough to do this. What is the least number of additional marbles needed? A. 21 B. 9 C. 3 D. None

88 M.A.T.H. Area 2014 Round Alternate Number 7 Willy has 18 marbles in a bag. He tried to give each of his six friends at least one marble but no two friends the same number of marbles. He doesn t have enough to do this. What is the least number of additional marbles needed? C. 3 To keep the number low, the first friend gets one marble, the next two, the third 3 and so on up to six friends. Thus, Willy needs =21 marbles. He has 18 so we needs three more.

89 M.A.T.H. Area 2014 Round Alternate Number 8 60 seconds Find the next four numbers of the sequence 0, 1, 1, 2, 3, 5. A. 10, 14, 22, 36 B. 12, 18, 21, 37 C. 8, 13, 21, 34 D. 14, 18, 21, 38

90 M.A.T.H. Area 2014 Round Alternate Number 8 Find the next four numbers of the sequence 0, 1, 1, 2, 3, 5. C. 8, 13, 21, 34 This is the Fibonnaci sequence. The first two terms are given. Then the rule is that the terms are found by adding the two previous terms. So 3+5=8, 5+8=13, 8+13=21, 13+21=34.

91 End Round Alternate