Quizbowl Math Questions
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**Pencils and paper ready! A 2-by-2 matrix has a top row of 2 and 4 and a bottom row of -4 and an unknown number X. If the determinant of the matrix is 58, find the value of X.
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Find the determinant of a matrix whose top row is -2 and -6 and whose bottom row is 8 and 3
6
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) If 30% of a given number is 9, then what is 20% of the given number?
6
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) If 40% of a given number is 16, then what is 15% of the given number?
3
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) If 40% of a given number is 8, then what is 15% of the given number?
2
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) If 60% of a given number is 8, then what is 15% of the given number?
10
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) If 90% of a given number is 18, then what is 50% of the given number?
-4 and 2
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) What values of x are solutions for x^2+2x=8 [read: x squared plus two x equals eight]?
4 and -4
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) What values of x are solutions for x^2-16=0 [read: x squared minus sixteen equals zero]?
0 and 3
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) What values of x are solutions for x^2-3x=0 [read: x squared minus three x equals zero]?
4 and -1
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) What values of x are solutions for x^2-3x=4 [read: x squared minus three x equals four]?
-1 and 3
Math Question. Pencil and Paper Ready. (Timekeeper: 15 seconds) What values of x are solutions for x^2=2x+3 [read: x squared equals two x plus three]?
answer: 2 (7X + 44 = 58)
Pencils and paper ready! A 2-by-2 matrix has a top row of 7 and 11 and a bottom row of -4 and an unknown number X. If the determinant of the matrix is 58, find the value of X.
11/3
Pencils and paper ready! The surface area of an official softball is (121/9) times the surface area of a major-league baseball. Give the improper fraction for the ratio of the radius of the softball to the radius of the baseball.
12/5
Pencils and paper ready! The surface area of an official softball is (144/25) times the surface area of a major-league baseball. Give the improper fraction for the ratio of the radius of the softball to the radius of the baseball.
16/3
Pencils and paper ready! The surface area of an official softball is (256/9) times the surface area of a major-league baseball. Give the improper fraction for the ratio of the radius of the softball to the radius of the baseball.
3/2 (do not accept 6/4)
Pencils and paper ready! The surface area of an official softball is (36/4) times the surface area of a major-league baseball. Give the improper fraction in lowest terms for the ratio of the radius of the softball to the radius of the baseball.
15
What is the greatest common factor of 30, 45, 75
1
What is the greatest common factor of 4, 9, 12?
4
What is the greatest common factor of 40, 20, 4?
20
What is the greatest common factor of 40, 80, 140?
42
What is the greatest common factor of 42, 126, and 210?
5
What is the greatest common factor of 50, 30, 25?
3
What is the greatest common factor of 9, 15, 24?
-6
What is the value of x when -5x + 8 = -3x + 10
5
What is the value of x when 10x + 6 = 12x - 4
no solution (no value of x satisfies the equation)
What is the value of x when 24x - 6 = 24x + 36
7
What is the value of x when 2x + 3 = 3x - 4?
-8
What is the value of x when 4x + 2 = 3x - 6
-1
What is the value of x when 5x + 8 = 7 + 4 x?
-5/3
What is the value of x when x + 3 = -2x - 2
