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SB- Math
Science Bowl Math Questions
| Question | Answer |
|---|---|
| SA - How many degrees are in one-third of a right angle? | 30 |
| SA - Round the number 535,279 to the nearest ten-thousand: | 540,000 |
| SA - In a right triangle, what is the name for the side opposite the 90 angle? | HYPOTENUSE |
| SA - Rounded to the nearest meter, find the length of the hypotenuse of a right triangle in the legs measure 5 and 12 meters? | 13 |
| SA - What is the name for any segment with one endpoint at the center of a circle and the other endpoint on the circle? | RADIUS (ACCEPT: RADII) |
| SA - Rounded to the nearest ten-thousandth, convert 1/3rd to a decimal | 0.3333 (ACCEPT: .3333) |
| SA - What is the exact circumference, in centimeters, of a circle whose radius is 3 centimeters? | 6pi |
| SA - Change each of the following 3 fractions, respectively, to equivalent fractions with a denominator of 30: 1/3; 3/5 ; 5/6 | 10/30; 18/30 ; 25/30 |
| SA- Every triangle has how many vertices? | 3 |
| SA - If the perimeter of a triangle is 45 centimeters and the lengths of two of its sides are 16 and 12 centimeters, find the length of the third side, in centimeters | 17 |
| SA - What is the measure, in degrees, of each angle is an equilateral triangle? | 60 (ACCEPT: 60, 60, 60) |
| SA - Reduce the following fraction to a proper fraction in lowest terms: 125/1000 | 1/8 |
| SA- Find the volume, in inches cubed, of a rectangular solid whose dimensions are 3-inches by 5-inches by 8-inches | 120 |
| SA - Convert 150% into a mixed fraction in lowest terms: | 1 1/2 |
| MC- Minuends and subtrahends are used in which of the following mathematical operations: W). addition X). subtraction Y). multiplication Z). division | X). SUBTRACTION |
| SA- If the area of a square field is 1,600 square feet, how many feet long is one of its sides? | 40 |
| SA- What is the identity element for addition on the integers? | 0 |
| SA- The sum of two numbers is 16 and their product is 55. What are the two numbers? | 11; 5 (IN ANY ORDER) |
| SA- Evaluate the following, giving your answer as a proper fraction in simplest terms: (-12/8)(-4/12) | 1/2 |
| SA- Find the area, in meters squared, of a parallelogram whose base measures 8 meters and height measures 10 meters: | 80 |
| SA- What is the degree measure of a semicircle? | 180 |
| SA- How many degrees are in the 4th angle of a quadrilateral whose other 3 angles are 85*, 95*, and 100*? | 80 |
| SA- The equation (2+x)=y=2+(x+y) best illustrates what basic property of addition? | ASSOCIATIVE |
| SA- Change the decimal 0.88 to a fraction in lowest terms: | 22/25 |
| SA- In the real numbers, a number times its multiplicative inverse equals what? | 1 |
| SA- Find the elapsed time, in hours and minutes reduced to their lowest terms, between 12:15 AM and 5:05 PM | 16 HOURS 50 MINUTES |
| SA- What is the mathematical term for coplanar lines that never intersect? | PARALLEL |
| SA- What is the least common denominator of the following 3 fractions: 2/3; 5/6; 1/5 | 30 |
| SA- Find the reciprocal of 10 1/5 | 5/51 |
| SA- Convert 5/3 into a percent, rounded to the nearest tenth of a percent | 166.7 (MUST BE EXACT) |
| SA- Divide x^5 by x^3 and simplify: | x^2 |
| SA- Evaluate the following and give your answer as a mixed fraction in lowest terms: 9 1/2 - 5 2/5 | 4 1/10 |
| SA- Solve the following equation for x: 15x + 8x - 3x = 120 | 6 |
| SA- Divide 5/9 by 3/5 and give your answer as a proper fraction in lowest terms: | 25/27 |
| SA- Name all of the following 3 statements which are always TRUE: 1). a square is a regular polygon 2). an equilateral triangle is equiangular 3). a scalene triangle has 2 sides of equal length | 1 AND 2 |
| MC- Which of the following is evenly divisible by each of the counting numbers 1 through 8: W). 360 X). 1,250 Y). 1,800 Z). 2,520 | Z). 2,520 |
| SA- Give the numerical value of 8 factorial divided by 8 factorial | 1 |
| SA- Evaluate the following expression 10 + [8 + (2-10)] | 10 |
| SA- Evaluate X/Y when x = 0 and y = –8: | 0 |
| SA- Jill has $2.25 consisting of U.S. dimes and quarters. If she has 5 more dimes than quarters, how many dimes and quarters, respectively, does she have? | DIMES = 10 ; QUARTERS =5 |
| SA- In what quadrant of the coordinate system are both x and y negative? | 3 (ACCEPT: III OR THIRD) |
| SA- Bottled water is selling for 60-cents per bottle. If you buy a dozen bottles and hand the cashier a ten-dollar bill, how much change are your owed, in dollars and cents? | $2.80 |
| pick any point in the interior of a circle 12in in diameter&cut the circle into 8 slices by cutting at 45º angles through that point. If you color alternate pieces blue&yellow then the total area of the blue slices will: | EQUAL THE AREA OF THE YELLOW SLICES |
| SA- Consider the four angles formed by two intersecting lines. If one angle measures 50º, find the measure of the remaining three angles, in degrees: | 50; 130; 130 |
| SA- Any number, except zero, to the zero power equals what? | 1 |
| SA- Give the numerical value of 20 factorial divided by 18 factorial | 380 |
| SA- How many terms are in the following variable expression and what is the coefficient of the second term: 5x2 – x – 12yz^2 + 9 | TERMS = 4; COEFFICIENT =-1 |
| SA- Sue and Sierra are making necklaces. If Sue makes an average of 3 every 30 minutes and Sierra averages 6 every hour, how many necklaces do they average every hour if they work together? | 12 |
| SA- For the equation y = mx + b, b represents what value? | Y-INTERCEPT (ACCEPT: WHERE THE LINE CROSSES THE Y OR ORDINATE AXIS) |
| SA- Find a number such that 10-times the number reduced by 3 equals 4-times the number increased by 15: | 3 |
| SA- Find the product of 2^3 x 3^2 | 72 |
| SA- Arrange the following 4 choices in INCREASING order: 200^1; 5^3; 3^5; 20^2 | 5^3; 200^1; 3^5; 20^2 |
| SA- Evaluate | –x | (read as: the absolute value of negative x) for x = –5: | 5 |
| SA- Maxine buys a stock for $100.00 and then sells it for $75.00. She repurchases the stock for $125.00, and 3 months later sells it for $200.00. What was her profit, in dollars? | 50 |
| MC- Which of the following is NOT true: W) a line that intersects 2 other lines at different points is called a transversal X) if a ≤ 0 (read as: if a is less than or equal to 0), then the absolute value of a equals a | X) IF A ≤ 0 THEN THE ABSOLUTE VALUE OF A EQUALS A |
| SA- A college student has a budget of $600.00 per month. If at the end of a given month she spent $350.00 and earned an extra $150.00 in wages, how much is left in the budget at month’s end? | $400.00 |
| Name the following 3 statements which are always TRUE: 1)smaller angle formed by the hands of a clock @ 2 o’clock is acute 2)2 non-vertical parallel lines have the same slope 3)altitude of an equilateral triangle forms two, 45º 45º 90º triangles | 1 AND 2 |
| SA: If a staple-gun misfires 5 times for every 200 shots, how many times will it be expected to misfire in 4,000 shots? | 100 |
| SA- Solve the following inequality for x: 3(x + 1) ≥ 9 | x ≥ 2 |
| SA- r Evaluate the following complex fraction, giving your answer as an improper fraction in lowest terms: (2 - 1/7) / (1- 1/2) | 26/7 |
| MC- Which of the following is NOT true: W) largest angle in a right triangle is 90º X)each side of a regular polygon has the same length Y) the side opposite an obtuse angle is the shortest side of a triangle Z) a triangle can have only 1 obtuse angle | Y). THE SIDE OPPOSITE AN OBTUSE ANGLE IS THE SHORTEST SIDE OF A TRIANGLE |
| SA- In her first year after graduating college, Lucy earned $25,000 in her first full-time job. Five years later her salary had risen by 300%. What is her current salary? | $100,000.00 |
| By words or number, name all of the following 3 statements which are ALWAYS TRUE: 1)trapezoid has a pair of parallel sides 2)2triangles with the same area have the same perimeter 3)if 2 straight lines intersect, vertical angles have the same measure | 1 AND 3 |
| SA- The following daily Fahrenheit temperatures were recorded over a 5-day period: –15º, 2º, 0º, 13º, and –5º. Find the average daily temperature for this period, in degrees Fahrenheit: | -1 |
| SA- Simplify the following completely: (-2x^2y^3)^3 | -8x^6y^9 |
| SA- The outdoor temperature at 6:00 AM is –8ºC. If it rises at a rate of 3ºC per hour, what is the temperature, in degrees Celsius, at noon? | 10 |
| SA- Solve the following equation for x: 5/8 x=200 | 320 |
| SA: A certain ore contains 2% of a precious metal. How many tons of ore must theoretically be mined to obtain 16 tons of the metal? | 800 |
| SA- Find the product of (x^3y)(x^2y) | x^5y |
| SA- Find the following product and give your answer to the first decimal place: (5/3)(3/5)^2 | 0.6 |
| SA- Find the mean and median, respectively, of the following set of 6 numbers: 10, 10, 10, 11, 11, 11 | MEAN = 10.5; MEDIAN = 10.5 (ACCEPT: BOTH 10.5) |
| SA- Consider a line that contains the points ABCD in order from left to right. If AB = 10, BC = 26, and AD = 56, find CD: | 20 |
| SA- Simplify the following expression, combining like terms: 2x – 3y – (5x – 4y) | -3X + y (ACCEPT: y-3x) |
| SA- A scale drawing of a tractor is drawn as 1 inch equal to 4 feet. If the width of the bucket is drawn as five-eights of an inch, what is the actual width of the bucket, in feet to the first decimal place? | 2.5 |
| SA- Subtract 2 root 7 from 5 root 7 , giving your answer in its simplest radical form: | 3 root 7 |
| SA- If on average 2 out 7 students prefer vegetarian sandwiches over nonvegetarian sandwiches, how many vegetarian sandwiches should be ordered for 1400 students? | 400 |
| SA- For the equation, –3x + 4y = 16, find y when x = 0: | 4 |
| SA- If the point on a graph with coordinates (3, 2) is translated 1 unit to the left and 3 units down, and then another 3 units to the left and 2 units up, what are the new coordinates? | (-1, 1) |
| SA- Expand the following expression, giving your answer in standard form: (x+10)^2 | x^2 + 20x + 100 |
| SA- Find the following product, giving your answer in standard form: (2x + y)(x + y) | 2x^2 + 3xy + y^2 |
| SA- What is the x-intercept of a graph of the following equation: y = –7x + 7 | 1 (ACCEPT: 1, 0) |
| SA- Multiply the polynomial, 3x^2 - 4xy + y^2, by -3xy, and simplify | -9x^3y + 12x^2y^2 - 3xy^3 |
| SA- What is the common ratio of the geometric series with the first three terms, 1/2, 1/4, 1/8 | 1/2 |
| SA- What is the least common multiple of the numbers 30, 45, and 60? | 180 |
| SA- Reduce the following expression to lowest terms: 3x+y / xy | 3x+y / xy (ACCEPT: CANNOT BE REDUCED) |
| SA: Find the prime factorization of 90: | 2 x 3 x 3 x 5 (ACCEPT: 2 X 3^2 X 5) |
Created by:
rileylyngar
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