Begin Practice Round

Size: px

Start display at page:

Download "Begin Practice Round"

Griffin Eaton
5 years ago
Views:

1 Indiana Academic M.A.T.H. Bowl Invitational 2016 Begin Practice Round 1

2 2016 MATH Invitational Practice Round 30 seconds =? A. 18 B. 14 C. 4 D MATH Invitational Practice Round =? D. 28 2

3 End Practice Round Begin Round One 3

4 2016 MATH Invitational Round 1 Number 1 30 seconds What type of angle is made by the hands on the face of a clock when the time shown is 9:25? A. acute B. obtuse C.right D.straight 2016 MATH Invitational Round 1 Number 1 What type of angle is made by the hands on the face of a clock when the time shown is 9:25? B. Obtuse 4

5 2016 MATH Invitational Round 1 Number 2 30 seconds In a 1 hour TV program, commercials are shown for 10 minutes. What fractional part of the hour are commercials shown? A. 1/5 B. 1/4 C. 1/6 D. 1/ MATH Invitational Round 1 Number 2 In a 1 hour TV program, commercials are shown for 10 minutes. What fractional part of the hour are commercials shown? C. 1/6 10 / 60 = 1/6 5

6 2016 MATH Invitational Round 1 Number 3 30 seconds Which equation is true? A. (81 9) = 8 B = 8 C. 81 ( ) = 8 D = MATH Invitational Round 1 Number 3 Which equation is true? B = = = 8 8 = 8 6

7 2016 MATH Invitational Round 1 Number 4 45 seconds Based on the line plot data below, what is the average number of cookies in a package? A.53 B.54 C.55 D.58 Number of cookies in a package XxX X X X X X X X X X X X MATH Invitational Round 1 Number 4 Based on the line plot data below, what is the average number of cookies in a package? Number of cookies in a package X X X X X X C. 55 X X X X X X (2) + 54(4) + 55(2) (2) / 12 = 55 7

8 2016 MATH Invitational Round 1 Number 5 60 seconds Trista ran the 50-yard dash in P.E. class. Clayton ran the 150-feet dash. Dalton ran the 1800-inch dash. Who ran the farthest distance? A.Trista B.Clayton C.Dalton D.They all ran the same distance MATH Invitational Round 1 Number 5 Trista ran the 50-yard dash in P.E. class. Clayton ran the 150-feet dash. Dalton ran the 1800-inch dash. Who ran the farthest distance? D. They all ran the same distance. Trista 50 yards = 50 yards (36 inches/yard) = 1800 inches Clayton 150 feet = 150 feet(12 inches/foot) = 1800 inches 8

9 2016 MATH Invitational Round 1 Number 6 60 seconds A 50 ft. cable line reaches from the top of a pole to a point on the ground that is 40 ft. from the base of the pole. What is the height of the pole? A. 15 ft. B. 20 ft. C. 30 ft. D. 35 ft. 50 ft 40 ft? 2016 MATH Invitational Round 1 Number 6 A 50 ft. cable line reaches from the top of a pole to a point on the ground that is 40 ft. from the base of the pole. What is the height of the pole? C. 30 ft. a 2 + b 2 = c b 2 = b 2 = b 2 = 900 b = ft 40 ft? 9

2016 MATH Invitational Round 1 Number 7 45 seconds Robert is designing a glass vase in the shape of a cylinder. The vase will have a diameter of 8 in and will be 14.8 in tall.

10 2016 MATH Invitational Round 1 Number 7 45 seconds Robert is designing a glass vase in the shape of a cylinder. The vase will have a diameter of 8 in and will be 14.8 in tall. What is the volume of the glass? Use 3.14 for pi and round to the nearest tenth. A in 3 B in 3 C in 3 D in MATH Invitational Round 1 Number 7 Robert is designing a glass vase in the shape of a cylinder. The vase will have a diameter of 8 in and will be 14.8 in tall. What is the volume of the glass? Use 3.14 for pi and round to the nearest tenth. D in 3 V = π r 2 h 3.14(4)(4)(14.8) in 3 Note d = 8 so r = 4 inches 10

2016 MATH Invitational Round 1 Number 8 60 seconds 500 people were asked to name their favorite shade

If shown on a circle graph, give the central angle. A. 165 people, 119 o B. 165 people, 126 o C.

175 people, 126 o 2016 MATH Invitational Round 1 Number 8 500 people were asked to name their favorite

11 2016 MATH Invitational Round 1 Number 8 60 seconds 500 people were asked to name their favorite shade of blue. 35% of the people chose navy. How many people chose navy? If shown on a circle graph, give the central angle. A. 165 people, 119 o B. 165 people, 126 o C. 175 people, 119 o D. 175 people, 126 o 2016 MATH Invitational Round 1 Number people were asked to name their favorite shade of blue. 35% of the people chose navy. How many people chose navy? If shown on a circle graph, give the central angle. D. 175 people, 126 o 35% of 500 = (0.35)(500) = 175 people 35% of 360 degrees = (0.35)(360) = 126 degrees 11

12 End Round One Begin Round Two 12

13 2016 MATH Invitational Round 2 Number 1 30 seconds One side of a rhombus measures 5 inches. What is the perimeter of the rhombus? A.10 inches B.15 inches C.20 inches D.25 inches 2016 MATH Invitational Round 2 Number 1 One side of a rhombus measures 5 inches. What is the perimeter of the rhombus? C. 20 inches A rhombus is regular all four sides are congruent. So the perimeter is the sum of all 4 sides. 4(5) = 20 13

14 2016 MATH Invitational Round 2 Number 2 30 seconds If a right triangle has a 12 inch base, and 8 inch height, what is the area? A. 20 square inches B. 40 square inches C. 48 square inches D. 96 square inches 2016 MATH Invitational Round 2 Number 2 If a right triangle has a 12 inch base, and 8 inch height, what is the area? C. 48 square inches A = ½ (bh) = ½ (12)(8) = 48 square inches 14

15 2016 MATH Invitational Round 2 Number 3 45 seconds The owner of the circus needs to purchase a trailer to carry two elephants weighing in at 6,000 pounds and 7,200 pounds. What size trailer will he need to purchase? A. 4 ton B. 5 ton C. 6 ton D. 7 ton 2016 MATH Invitational Round 2 Number 3 The owner of the circus needs to purchase a trailer to carry two elephants weighing in at 6,000 pounds and 7,200 pounds. What size trailer will he need to purchase? D. 7 ton 6, ,200 = lbs 13,200 2,000 = tons The trailer must hold more than 6 tons so only answer D works. 15

16 2016 MATH Invitational Round 2 Number 4 45 seconds Sue throws a bounce pass to her friend Abby. The ball s path hits the floor at a 48 o angle and bounces off to Abby in another 48 o angle with the floor. What is the size of angle formed by the ball s paths between the girls? A. 48 o B. 84 o C. 96 o D. not given 2016 MATH Invitational Round 2 Number 4 Sue throws a bounce pass to her friend Abby. The ball s path hits the floor at a 48 o angle and bounces off to Abby in another 48 o angle with the floor. What is the size of angle formed by the ball s paths between the girls? B. 84 o The ball forms 3 angles with the floor. The sum of those angles is 180 degrees = = o 84 o 48 o 16

17 In the following puzzle, what is the number for 3 down? MATH Invitational Round 2 Number 5 60 seconds? A. 729 B. 789 C. 769 D ? 4? Across 1. multiple of consecutive digits descending 5. consecutive even digits in some order 6. multiple of 23 Down 1. perfect square 2. perfect square 3. perfect cube 4. middle digit is the sum of its 2 outside digits MATH Invitational Round 2 Number 5 In the following puzzle, what is the number for 3 down? Across A = 9 X 9 X 9 is the only perfect cube in the given answers. 1. multiple of consecutive digits descending 5. consecutive even digits in some order 6. multiple of 23 Down 1. perfect square 2. perfect square 3. perfect cube 4. middle digit is the sum of its 2 outside digits 17

18 2016 MATH Invitational Round 2 Number 6 45 seconds Which could not be the dimensions of a rectangular prism that has a volume of 3,150 cm 3. A. 6 cm by 15 cm by 35 cm B. 8 cm by 12 cm by 30 cm C. 5 cm by 9 cm by 70 cm D. 7 cm by 9 cm by 50 cm 2016 MATH Invitational Round 2 Number 6 Which could not be the dimensions of a rectangular prism that has a volume of 3,150 cm 3. B. 8 cm by 12 cm by 30 cm V = lwh so multiply the three numbers given. Only B does not give 3,

2016 MATH Invitational Round 2 Number 7 60 seconds Gary wanted to enlarge a photograph that is 5ʺ tall by 7ʺ wide to fit into a picture frame that is 30ʺ wide.

19 2016 MATH Invitational Round 2 Number 7 60 seconds Gary wanted to enlarge a photograph that is 5ʺ tall by 7ʺ wide to fit into a picture frame that is 30ʺ wide. Before he enlarges the picture, he cuts 1ʺ off of its width. How tall would the frame have to be for the picture to fit? A. 21ʺ B. 22ʺ C. 24ʺ D. 25ʺ 2016 MATH Invitational Round 2 Number 7 Gary wanted to enlarge a photograph that is 5ʺ tall by 7ʺ wide to fit into a picture frame that is 30ʺ wide. Before he enlarges the picture, he cuts 1ʺ off of its width. How tall would the frame have to be for the picture to fit? D. 25ʺ New picture size is 5 tall by 6 wide. Frame size is x tall by 30 wide. The width of the frame is 5 times the width of largest picture. The largest picture must be 5 times as tall or

If they split the bill evenly, how much did each of them pay? A. $14.00 B. $15.00 C. $16.00 D. $16.20 2016 MATH Invitational Round 2 Number 8 George and his friend Dave went out to eat.

20 2016 MATH Invitational Round 2 Number 8 60 seconds George and his friend Dave went out to eat. They ordered the special which was two meals for $25. The restaurant also added 8% sales tax to their bill. Since their server gave them excellent service, they decided to tip her 20% before the sales tax was added to the bill. If they split the bill evenly, how much did each of them pay? A. $14.00 B. $15.00 C. $16.00 D. $ MATH Invitational Round 2 Number 8 George and his friend Dave went out to eat. They ordered the special which was two meals for $25. The restaurant also added 8% sales tax to their bill. Since their server gave them excellent service, they decided to tip her 20% before the sales tax was added to the bill. If they split the bill evenly, how much did each of them pay? C. $16.00 Tax is 8% of 25 or (0.08)(25) = $2.00 Tip is 20% of 25 or (0.20)(25) = $5.00 Bill $25.00 Tip 5.00 Tax 2.00 Total $32.00 So each owes $

21 End Round Two Begin Round Three 21

22 2016 MATH Invitational Round 3 Number 1 30 seconds How would you classify the triangle based on its angles and its sides? A. right, regular B. right, equilateral C. right, scalene D. right, isosceles 2016 MATH Invitational Round 3 Number 1 How would you classify the triangle based on its angles and its sides? D. right, isosceles 22

23 2016 MATH Invitational Round 3 Number 2 30 seconds Arrange the digits 2, 3, 6, and 7 so that the tenths digit is twice the hundredths digit, three times the tens digit, and one less than the ones digit. A B C D MATH Invitational Round 3 Number 2 Arrange the digits 2, 3, 6, and 7 so that the tenths digit is twice the hundredths digit, three times the tens digit, and one less than the ones digit. A is twice 3 and those are only digits to satisfy that clue so number ends in is three times 2 so 2 is the tens digit. That leaves 7 in the ones place and six is one less than the

24 2016 MATH Invitational Round 3 Number 3 45 seconds Austin wants to make a poster of the three types of matter. If he gives equal area to each of the three types on his poster, how large will each section be if the poster is 12 inches long and 8 inches wide? A. 32 in B. 32 in 2 C in D. 7 in MATH Invitational Round 3 Number 3 Austin wants to make a poster of the three types of matter. If he gives equal area to each of the three types on his poster, how large will each section be if the poster is 12 inches long and 8 inches wide? B. 32 in 2 A = wl = 12(8) = 96 in = 32 in 2 24

2016 MATH Invitational Round 3 Number 4 30 seconds Kim s class is going to the local theme park. There are 50 students going on the trip. Each one-way ticket costs $150.

25 2016 MATH Invitational Round 3 Number 4 30 seconds Kim s class is going to the local theme park. There are 50 students going on the trip. Each one-way ticket costs $150. How much will it cost for the entire class to travel to the park AND return home? A. $7,500 B. $15,000 C. $30,000 D. $45, MATH Invitational Round 3 Number 4 30 seconds Kim s class is going to the local theme park. There are 50 students going on the trip. Each one-way ticket costs $150. How much will it cost for the entire class to travel to the park AND return home? B. $15,000 50( ) 50(300) 15,000 25

26 2016 MATH Invitational Round 3 Number 5 30 seconds How many lines of symmetry does a regular hexagon have whose sides measure 4 cm each? A. 3 B. 4 C.5 D MATH Invitational Round 3 Number 5 How many lines of symmetry does a regular hexagon have whose sides measure 4 cm each? D. 6 26

27 2016 MATH Invitational Round 3 Number 6 45 seconds A large chocolate chip cookie has a diameter of 24 in. To the nearest square inch, using π 3.14, what is the area of the cookie? A. 452 in 2 B. 453 in 2 C.1,808 in 2 D.1,809 in MATH Invitational Round 3 Number 6 A large chocolate chip cookie has a diameter of 24 in. To the nearest square inch, using π 3.14, what is the area of the cookie? A. 452 in 2 A = πr (12)

28 2016 MATH Invitational Round 3 Number 7 45 seconds Sudoku Place the numbers 1 4 in the grid so there is one of each number in each row and column and 2 x 2 corner square. Which number should replace the x? A. 1 B. 2 C. 3 D X 2016 MATH Invitational Round 3 Number 7 Sudoku Place the numbers 1 4 in the grid so there is one of each number in each row and column and 2 x 2 corner square. Which number should replace the x? C X

29 2016 MATH Invitational Round 3 Number 8 45 seconds On a grid parallelogram ABCD had the coordinates A(2,7) B(4,9) C(9,9) D(7,7). It was slid on the grid and its new coordinates were A (3,3) B (5,5) C (10,5) D (8,3). Which moves describe the slide? A. 1 right, 4 down B. 1 right, 5 down C. 2 right, 4 down D. 2 right, 3 down MATH Invitational Round 3 Number 8 On a grid parallelogram ABCD had the coordinates A(2,7) B(4,9) C(9,9) D(7,7). It was slid on the grid and its new coordinates were A (3,3) B (5,5) C (10,5) D (8,3). Which moves describe the slide? A. 1 right, 4 down

30 End Round Three Begin Round Four 30

31 2016 MATH Invitational Round 4 Number 1 30 seconds What is AC called as it relates to the circle? A A. tangent B. line segment C. ray D. chord C 2016 MATH Invitational Round 4 Number 1 What is AC called as it relates to the circle? A A. tangent C 31

32 2016 MATH Invitational Round 4 Number 2 30 seconds Inside an airplane, there are 10 rows of seats with 4 seats in each row. The first and last seat of each row is a window seat. How many seats are window seats? A. 10 B. 20 C. 30 D MATH Invitational Round 4 Number 2 Inside an airplane, there are 10 rows of seats with 4 seats in each row. The first and last seat of each row is a window seat. How many seats are window seats? B of every 4 seats or ½ are window seats. There are 4(10) seats on the planes. So ½ of 40 or 20 seats are by a window. 32

33 2016 MATH Invitational Round 4 Number 3 30 seconds What type of transformation was performed? A. rotation about origin B. reflection across y axis C. flip across x axis D. reflection across x axis 2016 MATH Invitational Round 4 Number 3 What type of transformation was performed? B. reflection across y axis

34 2016 MATH Invitational Round 4 Number 4 30 seconds A blueprint for a warehouse is drawn 12 wide and 14 tall. If the actual warehouse is 30 ft wide, how tall is the warehouse? A. 32 ft B. 35 ft C. 40 ft D. 45 ft 2016 MATH Invitational Round 4 Number 4 A blueprint for a warehouse is drawn 12 wide and 14 tall. If the actual warehouse is 30 ft wide, how tall is the warehouse? B. 35 ft 12 = T 12T = 30(14) 12T = 420 T = 35 34

35 2016 MATH Invitational Round 4 Number 5 30 seconds The figure below is an example of what kind of closed figure? A. enneagon B. octagon C.heptagon D.dodecagon 2016 MATH Invitational Round 4 Number 5 The figure below is an example of what kind of closed figure? A. enneagon More often called a nonagon 35

36 2016 MATH Invitational Round 4 Number 6 45 seconds Mrs. Johnson assigns a graduation project for her students. Out of 36 students, 1/6 wrote a research paper, 1/3 did presentations, and the rest did skits. How many students did the skits? A. 6 B. 12 C. 18 D MATH Invitational Round 4 Number 6 Mrs. Johnson assigns a graduation project for her students. Out of 36 students, 1/6 wrote a research paper, 1/3 did presentations, and the rest did skits. How many students did the skits? C. 18 1/6 of 36 = 6 wrote papers 1/3 of 36 = 12 presentations 36 (6+12) = 18 skits 36

37 2016 MATH Invitational Round 4 Number 7 45 seconds Which of the 4 figures would NOT form a perfect cube if folded along the red or arrow-marked lines? A B C D 2016 MATH Invitational Round 4 Number 7 Which of the 4 figures would NOT form a perfect cube if folded along the red or arrow-marked lines? B 37

2016 MATH Invitational Round 4 Number 8 60 seconds Kathy wanted to make a doll for her granddaughter that looked like her and was proportional to her real size.

5 in C.4 in D.3 in 2016 MATH Invitational Round 4 Number 8 Kathy wanted to make a doll for her granddaughter that looked like her and was proportional to her real size.

38 2016 MATH Invitational Round 4 Number 8 60 seconds Kathy wanted to make a doll for her granddaughter that looked like her and was proportional to her real size. Her granddaughter is 4 2/3 ft tall with a 23 in. waist. If the doll she makes is 13 in. tall, what should be the measurement of the doll s waist? Round the answer to the nearest inch. A. 6 in B. 5 in C.4 in D.3 in 2016 MATH Invitational Round 4 Number 8 Kathy wanted to make a doll for her granddaughter that looked like her and was proportional to her real size. Her granddaughter is 4 2/3 ft tall with a 23 in. waist. If the doll she makes is 13 in. tall, what should be the measurement of the doll s waist? Round the answer to the nearest inch. B. 5 in. 4 2/3 ft = 56 inches 56 = x 56x = 13(23) 56x = 299 X = X

39 End Round Four Begin Round Alternate 39

40 2016 MATH Invitational Alternate Round Number 1 45 seconds Which answer choice shows the correct order in size from smallest to largest? A. -2, 0.75, 25, 14 B. 12, 36, 7⅞, 13 C. 0, -3, 3, 9¾ D. -⅚, -4, 15, MATH Invitational Alternate Round Number 1 Which answer choice shows the correct order in size from smallest to largest? A. -2, 0.75, 25, 14 40

41 2016 MATH Invitational Alternate Round Number 2 30 seconds Six times what number is the same as the product of 22 and 33? A. 6 B. 12 C. 726 D MATH Invitational Alternate Round Number 2 Six times what number is the same as the product of 22 and 33? D x 33 = x? = =

42 2016 MATH Invitational Alternate Round Number 3 30 seconds What is the product of the number of sides in a rhombus and the number of sides in a nonagon? A. 13 B. 28 C. 32 D MATH Invitational Alternate Round Number 3 What is the product of the number of sides in a rhombus and the number of sides in a nonagon? D x 9 = 36 42

2016 MATH Invitational Alternate Round Number 4 60 seconds Which choice continues the pattern of 2 1/8, 2 3/4, 3 3/8, 4,? A. 4 5/8, 5 1/4, 5 7/8 B. 4 6/8, 5 1/2, 5 3/4 C. 4 1/8, 4 3/4, 5 D.

43 2016 MATH Invitational Alternate Round Number 4 60 seconds Which choice continues the pattern of 2 1/8, 2 3/4, 3 3/8, 4,? A. 4 5/8, 5 1/4, 5 7/8 B. 4 6/8, 5 1/2, 5 3/4 C. 4 1/8, 4 3/4, 5 D. 5, 5 1/8, 5 3/4, MATH Invitational Alternate Round Number 4 Which choice continues the pattern of 2 1/8, 2 3/4, 3 3/8, 4,? A. 4 5/8, 5 1/4, 5 7/8 The pattern is to add 5/8 repeatedly. 2 1/8 + 5/8 = 2 6/8 or 2 3/4 2 6/8 + 5/8 = 2 11/8 or 3 3/8 3 3/8 + 5/8 = 3 8/8 or /8 = 4 5/8 4 5/8 + 5/8 = 4 10/8 or 5 1/4 5 2/8 + 5/8 = 5 7/8 43

44 2016 MATH Invitational Alternate Round Number 5 60 seconds Which of the following is NOT equivalent to 2 gallons? A. 256 ounces B. 36 cups C. 16 pints D. 8 quarts 2016 MATH Invitational Alternate Round Number 5 Which of the following is NOT equivalent to 2 gallons? B. 36 cups 1 gallon = 4 quarts 2 gallon = 8 quarts 1 quart = 2 pints 8 quarts = 16 pints 1 pint = 2 cups 16 pints = 32 cups 1 cup = 8 ounces 32 cups = 256 ounces 44

45 2016 MATH Invitational Alternate Round Number 6 30 seconds Scientist Sammy placed a full brick on one side of the balance scale. He placed 1/2 of a brick and a 9 pound weight on the other side to create an equal balance. What is the weight of the full brick? A. 18 pounds B. 9 pounds C. 5 pounds D. 3 pounds 2016 MATH Invitational Alternate Round Number 6 Scientist Sammy placed a full brick on one side of the balance scale. He placed 1/2 of a brick and a 9 pound weight on the other side to create an equal balance. What is the weight of the full brick? A. 18 pounds 9 pounds plus ½ brick = one full brick So ½ brick must weigh 9 pounds 45

46 2016 MATH Invitational Alternate Round Number 7 60 seconds A rectangular 30 m by 40 m parking lot is surrounded on all 4 sides by a concrete walk 5 m wide. What is the surface area of the walk? A.350 m 2 B.375 m 2 C.700 m 2 D.800 m MATH Invitational Alternate Round Number 7 A rectangular 30 m by 40 m parking lot is surrounded on all 4 sides by a concrete walk 5 m wide. What is the surface area of the walk? D. 800 m 2 Walk along length 40 X 5 = 200 m 2 Walk along width ( ) x 5 = 200 m 2 Total walk 2( ) = 800 m 2 46

47 2016 MATH Invitational Alternate Round Number 8 60 seconds RULE INPUT OUTPUT A Add 10 4, 5, 6 14, 15, 16 B Multiply by 4 3, 5, 7 12, 20, 28 C Divide by 2 10, 22, 40 5, 11, 19 Which row has an incorrect output? A. Row A B. Row B C. Row C D. All are correct 2016 MATH Invitational Alternate Round Number 8 60 seconds RULE INPUT OUTPUT A Add 10 4, 5, 6 14, 15, 16 B Multiply by 4 3, 5, 7 12, 20, 28 C Divide by 2 10, 22, 40 5, 11, 19 Which row has an incorrect output? C. Row C All are correct except Output should be 20, not

48 End Round Alternate 48

Summer Solutions Problem Solving Level 4. Level 4. Problem Solving. Help Pages

Summer Solutions Problem Solving Level 4. Level 4. Problem Solving. Help Pages Level Problem Solving 6 General Terms acute angle an angle measuring less than 90 addend a number being added angle formed by two rays that share a common endpoint area the size of a surface; always expressed