8/31/2015. Indiana Academic M.A.T.H. Bowl

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1 Indiana Academic M.A.T.H. Bowl Area

2 Begin Round One 2

3 M.A.T.H. Area 2013 Round 1 Number 1 30 seconds What is the best measure for the angle? A. 0 degrees B. 40 degrees C. 140 degrees D. 180 degrees 3

4 M.A.T.H. Area 2013 Round 1 Number 1 What is the best measure for the angle? B. 40 degrees The only acute measure given. 4

5 M.A.T.H. Area 2013 Round 1 Number 2 Which of the following nets can be used to form a triangular prism? A. B. 45 seconds C. D. 5

6 M.A.T.H. Area 2013 Round 1 Number 2 Which of the following nets can be used to form a triangular prism? A. The other nets form a square pyramid, a cube, and a triangular pyramid. The roof of the house and the tent represent triangular prisms, which have two triangular parallel bases and faces that are rectangles. 6

7 M.A.T.H. Area 2013 Round 1 Number 3 30 seconds Which of the following statements is not true? A. all squares are similar B. all rhombi are similar C. some trapezoids are similar D. all equilateral triangles are similar 7

8 M.A.T.H. Area 2013 Round 1 Number 3 Which of the following statements is not true? B. all rhombi are similar Similar polygons have the same shape (corresponding angles are congruent) but not necessarily same size. The first two shapes are both rhombi. 8

9 M.A.T.H. Area 2013 Round 1 Number 4 60 seconds Twenty-seven small wooden cubes were stacked to make the larger cube below. Then the whole outside of the large cube was painted brightly. After it dried, it was taken apart again. How many faces of the small cubes are now painted? A. 24 B. 48 C. 50 D. 54 9

10 M.A.T.H. Area 2013 Round 1 Number 4 Twenty-seven small wooden cubes were stacked to make the larger cube. Then the whole outside of the large cube was painted brightly. After it dried, it was taken apart again. How many faces of the small cubes are now painted? D. 54 The paint is on the surface area of the large cube. Each large face = 9 small faces 6 faces per cube 9(6) = 54 small faces now painted 10

11 M.A.T.H. Area 2013 Round 1 Number 5 45 seconds Sixty boy scouts are going on a camping trip to Turkey Run State Park. If ⅔ of them like to swim and ⅗ like to go hiking, how many more of these boy scouts like to go swimming rather than hiking? A. 4 B. 15 C. 36 D

12 M.A.T.H. Area 2013 Round 1 Number 5 Sixty boy scouts are going on a camping trip to Turkey Run State Park. If ⅔ of them like to swim and ⅗ like to go hiking, how many more of these boy scouts like to go swimming rather than hiking? A. 4 2/3 of 60 = 40 swimmers 3/5 of 60 = 36 hikers 12

13 M.A.T.H. Area 2013 Round 1 Number 6 60 seconds Susan s flower garden is shaped like a right triangle. The two shortest sides measure 6 ft and 8 ft. What is the measure of the longest side? A. 9 ft B. 9.5 ft C. 10 ft D. 11 ft 13

14 M.A.T.H. Area 2013 Round 1 Number 6 60 seconds Susan s flower garden is shaped like a right triangle. The two shortest sides measure 6 ft and 8 ft. What is the measure of the longest side? C. 10 ft a 2 + b 2 = c = c = c = c 2 C = 10 ft 14

15 M.A.T.H. Area 2013 Round 1 Number 7 60 seconds A family of 4 goes to Rico s Bakery to buy some cookies and muffins. Chocolate chip cookies cost $3.60 a dozen and Blueberry muffins cost $6.00 a dozen. If the bakery charges a 7% sales tax on all purchases, how much would it cost them to purchase 4 cookies and 4 muffins? A. $3.27 B. $3.42 C. $3.20 D. not given 15

16 M.A.T.H. Area 2013 Round 1 Number 7 A family of 4 goes to Rico s Bakery to buy some cookies and muffins. Chocolate chip cookies cost $3.60 a dozen and Blueberry muffins cost $6.00 a dozen. If the bakery charges a 7% sales tax on all purchases, how much would it cost them to purchase 4 cookies and 4 muffins? B. $3.42 Cookies $3.60 x 4/12 = $1.20 Muffins $6.00 x 4/12 = $2.00 ($ $2.00) x 0.07 = $0.22 in sales tax $ $0.22 = $3.42 total 16

17 End Round One 17

18 Begin Round Two 18

19 M.A.T.H. Area 2013 Round 2 Number 1 Which transformation is shown in the diagram? 30 seconds A. reflection B. dilation C. enlargement D. 180 rotation about black dot 19

20 M.A.T.H. Area 2013 Round 2 Number 1 Which transformation is shown in the diagram? A. reflection 20

21 M.A.T.H. Area 2013 Round 2 Number 2 Riddle: I am a regular octagon. One of my sides is 4 cm long. What is my perimeter? 45 seconds A. 4 cm B. 8 cm C. 16 cm D. 32 cm 21

22 M.A.T.H. Area 2013 Round 2 Number 2 Riddle: I am a regular octagon. One of my sides is 4 cm long. What is my perimeter? D. 32 cm GO An octagon has 8 sides. Regular means all sides are same length. 8(4) = 32 22

23 M.A.T.H. Area 2013 Round 2 Number 3 45 seconds Given triangle LMN, find the measures of angles M and N. A. M 65, N 50 B. M 65, N 40 C. M 65, N 30 D. not enough information is given 23

24 M.A.T.H. Area 2013 Round 2 Number 3 Given triangle LMN, find the measures of angles M and N. L 65 M A. M 65, N 50 Angles L and M are congruent because triangle is isosceles. Sum of angles is 180. N 24

25 M.A.T.H. Area 2013 Round 2 Number 4 The translation that moves a point 3 units right and 2 units down is shown as: A. (a, b) (a+3, b-2) B. (a, b) (a+2, b-3) C. (a, b) (a-3, b+2) D. (a, b) (a-3, b-2 45 seconds 25

26 M.A.T.H. Area 2013 Round 2 Number 4 The translation that moves a point 3 units right and 2 units down is shown as: Suppose (a,b) is the origin (0,0). The point 3 to the right and 2 down becomes (3,-2) or (0+3, 0-2). A. (a, b) (a+3, b-2) 26

27 M.A.T.H. Area 2013 Round 2 Number 5 45 seconds People in the Pacific Time Zone are 3 hours behind people in the Eastern Time Zone. If you left Nevada, in the Pacific Time Zone, at 11:45 a.m. and flew 6 hours to New York, in the Eastern Time Zone, what time would show on the New York airport clock when you arrived? A. 2:45 p.m. B. 4:45 p.m. C. 5:45 p.m. D. 8:45 p.m. 27

28 M.A.T.H. Area 2013 Round 2 Number 5 People in the Pacific Time Zone are 3 hours behind people in the Eastern Time Zone. If you left Nevada, in the Pacific Time Zone, at 11:45 a.m. and flew 6 hours to New York, in the Eastern Time Zone, what time would show on the New York airport clock when you arrived? D. 8:45 p.m. 11: = 20:45 which is 8:45 p.m. 28

29 M.A.T.H. Area 2013 Round 2 Number 6 45 seconds Tom is building the pyramid below out of blocks. He has a total of 21 blocks. How many rows of blocks will be in the pyramid? A. 6 rows B. 5 rows C. 4 rows D. 3 rows 29

30 M.A.T.H. Area 2013 Round 2 Number 6 Tom is building the pyramid below out of blocks. He has a total of 21 blocks. How many rows of blocks will be in the pyramid? A. 6 rows = 21 30

31 M.A.T.H. Area 2013 Round 2 Number 7 45 seconds Mrs. Wiant s cake recipe calls for 1 cup of milk. If she has a ½ quart of milk, how many cakes can Mrs. Wiant make? A. 1 cake B. 2 cakes C. 3 cakes D. 4 cakes 31

32 M.A.T.H. Area 2013 Round 2 Number 7 Mrs. Wiant s cake recipe calls for 1 cup of milk. If she has a ½ quart of milk, how many cakes can Mrs. Wiant make? B. 2 cakes 2 pints = 1 quart so she has 1 pint or 2 cups of milk. 32

33 End Round Two 33

34 Begin Round Three 34

35 M.A.T.H. Area 2013 Round 3 Number 1 30 seconds Add ½ + ⅓ + ¼ + A. 4/14 B. 1 17/60 C. 60/77 D. 1/120 35

36 M.A.T.H. Area 2013 Round 3 Number 1 Add ½ + ⅓ + ¼ + B. 1 17/60 30/ / / /60 = 77/60 36

37 M.A.T.H. Area 2013 Round 3 Number 2 30 seconds A math book weighs 24 oz. How many pounds is this? A. 3 lbs B. 2 lbs C. 1.5 lbs D. not given 37

38 M.A.T.H. Area 2013 Round 3 Number 2 A math book weighs 24 oz. How many pounds is this? C. 1.5 lbs 16 ounces in a pound plus another 8 ounces or ½ pound 38

39 M.A.T.H. Area 2013 Round 3 Number 3 30 seconds Susan cut a Styrofoam sphere through the center. What shape is the face that is formed by the cut? A. sphere B. oval C. half circle D. circle 39

40 M.A.T.H. Area 2013 Round 3 Number 3 Susan cut a Styrofoam sphere through the center. What shape is the face that is formed by the cut? D. circle 40

41 M.A.T.H. Area 2013 Round 3 Number 4 60 seconds Carly drank 12 ounces of a drink listed as 300 calories per 8 ounce serving. How many calories did Carly consume? A. 300 B. 400 C. 450 D

42 M.A.T.H. Area 2013 Round 3 Number 4 Carly drank 12 ounces of a drink listed as 300 calories per 8 ounce serving. How many calories did Carly consume? C oz. 300 C 4 oz. 150 C 8 ounces 300 calories 4 ounces 150 calories 12 ounces 450 calories 42

43 M.A.T.H. Area 2013 Round 3 Number 5 45 seconds The scale on a map of Indiana is ½ in = 8 miles. If the distance between Indianapolis to Bloomington is 56 miles, how far apart would they be on the map? A in B. 2.5 in C. 3 in D. 3.5 in 43

44 M.A.T.H. Area 2013 Round 3 Number 5 45 seconds The scale on a map of Indiana is ½ in = 8 miles. If the distance between Indianapolis to Bloomington is 56 miles, how far apart would they be on the map? D. 3.5 in ½ inch = 8 miles 1 inch = 16 miles 1 = x X = 1(56) X = 3.5 inches 44

45 M.A.T.H. Area 2013 Round 3 Number 6 45 seconds Bill, a semi driver from Indiana, drives 220 miles from Richmond to Gary. If it took him 3 hours and 40 min, what was his average speed? A. 55 mph B. 60 mph C. 65 mph D. 70 mph 45

46 M.A.T.H. Area 2013 Round 3 Number 6 Bill, a semi driver from Indiana, drives 220 miles from Richmond to Gary. If it took him 3 hours and 40 min, what was his average speed? B. 60 mph 220 miles 3 2/3 hours = X 3 = = 60 miles/hour 11 46

47 M.A.T.H. Area 2013 Round 3 Number 7 60 seconds Suppose flat screen TV's are packed in boxes 1.5 ft by 2 ft by 3 ft. What is the greatest number of TV's that will fit in the 12 ft by 12 ft by 24 ft space on the dock? A. 144 B. 192 C. 288 D

48 M.A.T.H. Area 2013 Round 3 Number 7 Suppose flat screen TV's are packed in boxes 1.5 ft by 2 ft by 3 ft. What is the greatest number of TV's that will fit in the 12 ft by 12 ft by 24 ft space on the dock? D boxes 2 feet tall = 12 feet 8 boxes 1.5 feet wide = 12 feet 8 boxes 3 feet long = 24 feet 6 X 8 X 8 = 384 boxes 48

49 End Round Three 49

50 Begin Round Four 50

51 M.A.T.H. Area 2013 Round 4 Number 1 30 seconds Which does not illustrate parallel segments? A. Opposite sides of rectangle B. Rays of right angle C. Top and bottom of stop sign D. Segments in equals sign 51

52 M.A.T.H. Area 2013 Round 4 Number 1 Which does not illustrate parallel segments? B. Rays of right angle The rays of a right angle are perpendicular, not parallel. 52

53 M.A.T.H. Area 2013 Round 4 Number 2 The diagram shows a plot of land in a subdivision. What is the area of the plot? 60 seconds L 180 ft 104 ft A. 18,720 sq ft B. 16,640 sq ft C. 10,816 sq ft D. 17,680 sq ft 160 ft 53

54 M.A.T.H. Area 2013 Round 4 Number 2 The diagram shows a plot of land in a subdivision. What is the area of the plot? L 180 ft 104 ft 160 ft D. 17,680 sq ft A = ½ (b 1 + b 2 )h A = ½ ( ) (104) A = ½ (340)(104) A = 17,680 ft 2 54

55 M.A.T.H. Area 2013 Round 4 Number 3 60 seconds Mark collects comic books. He gave 3 books to each of his four friends. Then, he gave one to his sister. If Mark has 12 comic books left in his collection, how many did he originally have? A. 12 comic books B. 14 comic books C. 20 comic books D. 25 comic books 55

56 M.A.T.H. Area 2013 Round 4 Number 3 Mark collects comic books. He gave 3 books to each of his four friends. Then, he gave one to his sister. If Mark has 12 comic books left in his collection, how many did he originally have? 4(3) = 25 D. 25 comic books 56

57 M.A.T.H. Area 2013 Round 4 Number 4 60 seconds Sam will purchase hot dogs and buns for the church picnic. Hot dogs come 10 per package and buns come 8 per package. How many packages of each should Sam purchase to provide 500 hot dogs for the picnic? A. 51 packages hot dogs, 62 packages buns B. 51 packages hot dogs, 63 packages buns C. 50 packages hot dogs, 62 packages buns D. 50 packages hot dogs, 63 packages buns 57

58 M.A.T.H. Area 2013 Round 4 Number 4 Sam will purchase hot dogs and buns for the church picnic. Hot dogs come 10 per package and buns come 8 per package. How many packages of each should Sam purchase to provide 500 hot dogs for the picnic? D. 50 packages hot dogs, 63 packages buns = 50 packs hot dogs = 62.5 packs buns but cannot buy partial packages 58

59 M.A.T.H. Area 2013 Round 4 Number 5 60 seconds Quadrilateral HIJK is similar to quadrilateral LMNO. What is the length of side OL? A. 20 units B. 23 units C. 25 units D. 27 units 59

60 M.A.T.H. Area 2013 Round 4 Number 5 Quadrilateral HIJK is similar to quadrilateral LMNO. What is the length of side OL? D. 27 units 15 = X X = 15(18) X = 27 60

61 M.A.T.H. Area 2013 Round 4 Number 6 45 seconds Your seat in the classroom is in a position so you can t see the clock directly. But you can see the clock by looking in a mirror on the wall. One day you look in the mirror and see the clock below. What time is it? A. 10:10 B. 1:50 C. 2:50 D. not given 61

62 M.A.T.H. Area 2013 Round 4 Number 6 Your seat in the classroom is in a position so you can t see the clock directly. But you can see the clock by looking in a mirror on the wall. One day you look in the mirror and see the clock below. What time is it? A. 10:10 62

63 M.A.T.H. Area 2013 Round 4 Number 7 60 seconds Tom purchased a square oak table that had four semicircular leaves attached to it so that it could be raised to make the table larger. How could Tom find the area of the table with all 4 leaves up? A. add the area of the square and area of 4 circles B. add the area of the square and area of 2 circles C. add the sides of the square and area of 4 circles D. add the sides of the square and area of 2 circles 63

64 M.A.T.H. Area 2013 Round 4 Number 7 Tom purchased a square oak table that had four semicircular leaves attached to it so that it could be raised to make the table larger. How could Tom find the area of the table with all 4 leaves up? B. add the area of the square and area of 2 circles 64

65 End Round Four 65

66 Begin Alternate Round 66

67 M.A.T.H. Area 2013 Alternate Round Number 1 30 seconds Students at Stars Middle School visit Conner Prairie every 2 years and Indianapolis Zoo every 3 years. If they visited both during the school year, when will they visit both again? A B C D

68 M.A.T.H. Area 2013 Alternate Round Number 1 Students at Stars Middle School visit Conner Prairie every 2 years and Indianapolis Zoo every 3 years. If they visited both during the school year, when will they visit both again? D LCM(2,3) = 6, count on from 2012, 2018, 2024, 2030, is the first common multiple. 68

69 M.A.T.H. Area 2013 Alternate Round Number 2 30 seconds Which illustrates rounding to the nearest hundred? A. 9,998 9,000 B. 9,998 10,000 C. 9,998 9,900 D. 9,998 10,100 69

70 M.A.T.H. Area 2013 Alternate Round Number 2 Which illustrates rounding to the nearest hundred? B. 9,998 10,000 9, hundred 9, hundred 10,000 70

71 M.A.T.H. Area 2013 Alternate Round Number 3 60 seconds Josh spent 45 minutes with his batting coach. Next, he ran laps for 40 minutes, then he spent 1 hour fielding. He spent 35 minutes on his homework and finished at 6:00 p.m. What time did he begin? A. 12:00 p.m. B. 1:15 p.m. C. 2:45 p.m. D. 3:00 p.m. 71

72 M.A.T.H. Area 2013 Alternate Round Number 3 Josh spent 45 minutes with his batting coach. Next, he ran laps for 40 minutes, then he spent 1 hour fielding. He spent 35 minutes on his homework and finished at 6:00 p.m. What time did he begin? D. 3:00 p.m = 180 minutes or 3 hours 72

73 M.A.T.H. Area 2013 Alternate Round Number 4 45 seconds Humans breathe about 984 times each hour. What is the best estimate of the number of breaths a human takes in a week? A. 200,000 B. 165,312 C. 151,200 D. 178,000 73

74 M.A.T.H. Area 2013 Alternate Round Number 4 Humans breathe about 984 times each hour. What is the best estimate of the number of breaths a human takes in a week? B. 165, (24)(7) = 165,312 74

75 M.A.T.H. Area 2013 Alternate Round Number 5 30 seconds What is true about ABD and CBE? A 40 B 100 C D E A. they are supplementary angles B. they are congruent angles C. they are complementary angles D. they are obtuse angles 75

76 M.A.T.H. Area 2013 Alternate Round Number 5 What is true about ABD and CBE? A B C D E B. they are congruent angles The 3 angles shown form a straight angle so the sum is 180 o. Thus, angle CBE measures 40 o. 76

77 M.A.T.H. Area 2013 Alternate Round Number 6 Susan knows that the hypotenuse of the top triangle is 5 inches. She guesses that the hypotenuse of the lower triangle is 6 inches. Which statement is correct? 3 in 4 in A. her guess is correct B. the hypotenuse is 7 inches C. the hypotenuse is 8 inches D. the hypotenuse is 41 inches 60 seconds 4 in 5 in 77

78 M.A.T.H. Area 2013 Alternate Round Number 6 Susan knows that the hypotenuse of the top triangle is 5 inches. She guesses that the hypotenuse of the lower triangle is 6 inches. Which statement is correct? D. the hypotenuse is 41 inches 3 in 4 in 4 in 5 in A 2 + B 2 = C = C 2 = 41 C = 41 or about

79 M.A.T.H. Area 2013 Alternate Round Number 7 There are 6 rectangles in 60 seconds How many rectangles are in? A. 12 B. 14 C. 16 D

80 M.A.T.H. Area 2013 Alternate Round Number 7 How many rectangles? D

81 End Alternate Round 81

Begin Practice Round

Begin Practice Round Indiana Academic M.A.T.H. Bowl Invitational 2016 Begin Practice Round 1 2016 MATH Invitational Practice Round 30 seconds 16 + 12 =? A. 18 B. 14 C. 4 D. 28 2016 MATH Invitational Practice Round 16 + 12

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