Indiana Academic Super Bowl Math Round 2019 Senior Division Invitational 1 A Program of the Indiana Association of School Principals Students: Throughout this round we will be pronouncing mathematic symbols and concepts as spoken words. If there are any discrepancies between what is said and what you see on the screen, the screen supersedes what is spoken.
SD-I1-M-1 30 seconds If is a 3 rd quadrant angle, which of the following statements is false? A. B. C. D. SD-I1-M-1 If is a 3 rd quadrant angle, which of the following statements is false? B.
SD-I1-M-2 20 seconds The legs of a right triangle are 10 and. How long is the hypotenuse? A. B. C. D. SD-I1-M-2 The legs of a right triangle are 10 and. How long is the hypotenuse? D.
SD-I1-M-3 20 seconds The expression (3x 4) (9x 2 + 12x + 16) is the factorization of which of the following? A. 27x 3 + 64 B. 27x 3 64 C. 27x 3 + 36x 2 D. 27x 3-8 SD-I1-M-3 The expression (3x 4) (9x 2 + 12x + 16) is the factorization of which of the following? B. 27x 3 64
SD-I1-M-4 30 seconds Which sexagesimal number is equal to the decimal number 147869? A. 41, 4, 39 B. 41, 5, 39 C. 41, 4, 29 D. 41, 5, 29 SD-I1-M-4 Which sexagesimal number is equal to the decimal number 147869? C. 41, 4, 29
SD-I1-M-5 20 seconds An airplane becomes disabled at an altitude of 9200 feet. At what angle, with respect to the horizontal, should the plane glide to reach a landing strip on the ground 52,000 feet from a point directly under the plane? A. 9.07 B. 9.56 C. 9.84 D. 10.03 SD-I1-M-5 An airplane becomes disabled at an altitude of 9200 feet. At what angle, with respect to the horizontal, should the plane glide to reach a landing strip on the ground 52,000 feet from a point directly under the plane? D. 10.03
SD-I1-M-6 30 seconds What is the equation of the circle shown in the graph? y A. x 2 y 2 = 8 B. 9x 2 + 9y 2 = 576 C. x 2 + y 2 = 8 D. 2x 2 + 2y 2 = 64 x SD-I1-M-6 What is the equation of the circle shown in the graph? y B. 9x 2 + 9y 2 = 576 x
SD-I1-M-7 30 seconds How would the base 10 number 203 be written as a Babylonian number? A., B.,, C., D., SD-I1-M-7 How would the base 10 number 203 be written as a Babylonian number? A.,
SD-I1-M-8 40 seconds Evaluate (4x 4 + 5x 3 + 2x 2 1) (x + 1). A. 4x 3 + x 2 x B. 4x 3 x 2 + 2x + 1 C. 4x 3 + x 2 + x D. 4x 3 + x 2 + x - 1 SD-I1-M-8 Evaluate (4x 4 + 5x 3 + 2x 2 1) (x + 1). D. 4x 3 + x 2 + x - 1
SD-I1-M-9 40 seconds A square pyramid has a lateral edge of 40 and a height of 24. What is the volume of the pyramid? A. 16,264 B. 16,384 C. 16,444 D. 16,524 SD-I1-M-9 A square pyramid has a lateral edge of 40 and a height of 24. What is the volume of the pyramid? B. 16,384
SD-I1-M-10 20 seconds Let EG = the Egyptian hieroglyphic numeral system and BY = the Babylonian sexagesimal system. Also consider the media: stone building, stone tablet, clay tablet, and papyrus. Which matches each number system with the media it has usually been found on? A. EG = papyrus; BY = stone tablet B. EG = papyrus; BY = clay tablet C. EG = stone building; BY = stone tablet D. EG = stone building; BY = clay tablet SD-I1-M-10 Let EG = the Egyptian hieroglyphic numeral system and BY = the Babylonian sexagesimal system. Also consider the media: stone building, stone tablet, clay tablet, and papyrus. Which matches each number system with the media it has usually been found on? D. EG = stone building; BY = clay tablet
SD-I1-M-11 Simplify: 40 seconds A. B. C. D. SD-I1-M-11 Simplify: B.
SD-I1-M-12 30 seconds Evaluate the sequence of operations when the coefficients of the polynomial are placed in standard form from left to right. + x - x A. B. C. D. SD-I1-M-12 Evaluate the sequence of operations when the coefficients of the polynomial are placed in standard form from left to right. + x - x D.
SD-I1-M-13 30 seconds The SUM of the binary numbers 1111, 101011 and 10011 is. A. 1010101 B. 1000111 C. 1001011 D. 1001101 SD-I1-M-13 The SUM of the binary numbers 1111, 101011 and 10011 is. D. 1001101
SD-I1-M-14 20 seconds In the diagram shown, AB is any chord that is not a diameter of the circle. Line l is tangent to the circle at point A. Which statement must be true? A. x < 90 B. x > 90 C. x 90 D. x = 90 B x A l (diagram is not drawn to scale) SD-I1-M-14 In the diagram shown, AB is any chord that is not a diameter of the circle. Line l is tangent to the circle at point A. Which statement must be true? B C. x 90 x A l (diagram is not drawn to scale)
SD-I1-M-15 20 seconds In the Egyptian hieroglyphic system, the base 10 number 4503 would have been written as: A. B. C. D. o SD-I1-M-15 In the Egyptian hieroglyphic system, the base 10 number 4503 would have been written as: B.
SD-I1-M-16 40 seconds Simplify: A. 3 sec 2 x B. 5sin 2 x C. 3csc 2 x D. 5 SD-I1-M-16 Simplify: A. 3 sec 2 x
SD-I1-M-17 40 seconds In the figure AB = BC, AD = 11, and DC = 16. How long is AB? A. 13.7 B. 13.9 C. 14.1 D. 14.3 A B D C SD-I1-M-17 In the figure AB = BC, AD = 11, and DC = 16. How long is AB? B A. 13.7 C A D
SD-I1-M-18 40 seconds Solve 2sin (3x - 4) = 1. Which of the following is a solution if 0 x 2π? A. B. C. D. SD-I1-M-18 Solve 2sin (3x - 4) = 1. Which of the following is a solution if 0 x 2π? A.
SD-I1-M-19 30 seconds As x -, f (x) -, for which of the following functions? A. 4x 5 + x 4 +x 2 B. -6x 3 + 11x C. ½x 4 3x 2 + x 1 D. -10x 3 SD-I1-M-19 As x -, f (x) -, for which of the following functions? A. 4x 5 + x 4 +x 2
SD-I1-M-20 30 seconds Find the lateral area of a cone if the radius of the base is 2 and the height is 7. A. 39.7 B. 42.7 C. 45.7 D. 48.7 SD-I1-M-20 Find the lateral area of a cone if the radius of the base is 2 and the height is 7. C. 45.7
SD-I1-M-21 30 seconds Find the SUM of the three sexagesimal numbers 6, 18, 46 and 13, 39, 44 and 50, 21, 35. A. 1, 10, 20, 5 B. 59, 20, 5 C. 1, 10, 20, 15 D. 59, 20, 15 SD-I1-M-21 Find the SUM of the three sexagesimal numbers 6, 18, 46 and 13, 39, 44 and 50, 21, 35. A. 1, 10, 20, 5
SD-I1-M-22 20 seconds The Babylonian sexagesimal system used 59 different symbols to make up the individual digits for this base 60 system. However, these symbols were easy to remember because the individual symbols actually formed a number system. A. base 2 B. base 6 C. base 8 D. base 10 SD-I1-M-22 The Babylonian sexagesimal system used 59 different symbols to make up the individual digits for this base 60 system. However, these symbols were easy to remember because the individual symbols actually formed a number system. D. base 10
SD-I1-M-23 40 seconds Two towers are 7.36 x 10 3 m apart. A fire is spotted. The line of sight from tower A makes an angle of 23.8 with the base line. The line of sight from tower B makes an angle of 102.3 with the base line. How far is the fire from the nearest tower? A. 3675.9m B. 5271.7m C. 7372.4m D. 8900m SD-I1-M-23 Two towers are 7.36 x 10 3 m apart. A fire is spotted. The line of sight from tower A makes an angle of 23.8 with the base line. The line of sight from tower B makes an angle of 102.3 with the base line. How far is the fire from the nearest tower? A. 3675.9m
SD-I1-M-24 40 seconds A prism has an equilateral triangle for its base. The height of the prism is 20 and its lateral area 270. What is the volume of this prism? A. 165.4 B. 170.4 C. 175.4 D. 180.4 SD-I1-M-24 A prism has an equilateral triangle for its base. The height of the prism is 20 and its lateral area 270. What is the volume of this prism? C. 175.4
SD-I1-M-25 40 seconds How many times does the function f (x) = x 3 + 3x 2 + 16x + 48 intercept the x-axis? A. 0 B. 1 C. 2 D. 3 SD-I1-M-25 How many times does the function f (x) = x 3 + 3x 2 + 16x + 48 intercept the x-axis? B. 1
End of Mathematics Round The Next Round will be English 2019 Academic Area Super Bowl Competition Tuesday, April 16, 2019