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BVSW Scholars Bowl > JV - Math > Flashcards

JV - Math Flashcards

1
Q

(30 seconds) Solve for x if 4x^2=16

A

x = -2, 2 (must have both)

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2
Q

(10 seconds) What is the sum of four angles if two are complementary and two are supplementary?

A

270 degrees

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3
Q

(10 seconds) What are two angles whose measures add up to 90 degrees called?

A

Complementary

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4
Q

(30 seconds) Give the equation of the line in slope intercept form that passes through the point (5,4) with a slope of -1

A

y = -x+9

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5
Q

(30 seconds) When a transversal cuts three parallel lines, how many pairs of supplementary angles are formed?

A

36

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6
Q

(10 seconds) What is the base of the natural logarithm?

A

e

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7
Q

(30 seconds) The mean of the values 5, (6x – 1), 12, and - 2 is 8 . What is x?

A

3

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8
Q

(30 seconds) If a right angle is bisected, and one of the new angles formed by the bisector is trisected, what is the measure of one of the three newest angles?

A

15 degrees

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9
Q

(10 seconds) What is the distance from zero of a number on a number line called?

A

Absolute Zero (Absolute Value)

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10
Q

(30 seconds) At what point do the lines y = 2x and y= -x - 3 meet?

A

(-4, -1)

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11
Q

(30 seconds) Convert 1 pi over 3 radians to degrees

A

60 degrees

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12
Q

(10 seconds) What is a number called that is divisible only by itself and 1?

A

Prime (Number)

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13
Q

(30 seconds) Simplify the quantity 3 times y to the fifth times x to the third close quantity cubed.
(3y^5*x^3)^3

A

27y^15 * x^9

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14
Q

(30 seconds) How many triangles must be combined to assemble a heptagon?

A

5

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15
Q

(10 seconds) Identify the term for dividing an angle into two congruent parts.

A

Bisect (Bisection)

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16
Q

(30 seconds) Foil the quantity (2x + 1)(x – 2)

A

2x^2-x-2

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17
Q

(30 seconds) The radius of a circle is 14. How long is the chord whose endpoints are the same as the endpoints of a 180 degree arc?

A

28 (units)

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18
Q

(10 seconds) What are two angles whose measures add up to 180 degrees called?

A

Supplementary

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19
Q

(45 seconds) Find the zeroes of the quadratic equation x^2 + x = 6

A

x = -3, 2

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20
Q

(30 seconds) What is the greatest number of times a parabola can cross a circle?

A

4

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21
Q

(10 seconds) What is always the product of a number and its reciprocal?

A

1

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22
Q

(30 seconds) Simplify (5a^2 – 3a +1) – (2a^2 – 4a + 6) (read: the quantity 5 a squared minus 3 a plus 1 close quantity minus the quantity 2 a squared minus 4 a plus 6)

A

3a^2 + a - 5

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23
Q

(30 seconds) When two equilateral triangles are joined by one side, what new polygon is formed?

A

A rhombus

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24
Q

(10 seconds) What is the number which you divide by in division called?

A

Divisor

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25
Q

(30 seconds) Find three to the three halves power.

A

3√3 (do not accept √27)

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26
Q

(30 seconds) What is the perimeter of a pentagon whose side lengths are 3, 5, 7, 2, and 13?

A

30

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27
Q

(10 seconds) Name any one of the three measures of central tendency.

A

Mean, Median, or Mode

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28
Q

(45 seconds) Greg receives the following scores on his math tests: {90, 83, 78, 95}. What is the minimum score he needs on the last math test in order to get an 85 average in the class?

A

79%

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29
Q

(30 seconds) A circle with what radius has the same area as circumference?

A

(r=) 2

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30
Q

(10 seconds) What is a triangle with no equal sides called?

A

Scalene

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31
Q

(30 seconds) If y varies directly with x, and y = 7 when x = 14, what is x when y=18?

A

36

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32
Q

(30 seconds) Find the midpoint of the segment connecting the points (6,4) and (3,-4).

A

(5,0)

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33
Q

(10 seconds) What is an arrangement of congruent figures that form a repeating pattern with no gaps or overlaps called?

A

Tessellation

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34
Q

(30 seconds) Simplify x² + 10x – 6 – 5x + 4

A

x² +5x - 2

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35
Q

(30 seconds) A triangle ABC is shown below inside a square of side 20 cm. Find the area of the triangle.

A

200 cm²

36
Q

(10 seconds) Reflections, rotations, and translations are all example of what?

A

Transformations

37
Q

(30 seconds) Tobin rows 2 miles per hour faster than her opponent. If it takes Tobin 30 minutes to finish a race, and it takes her opponent 45 minutes to finish the same race, how fast does Tobin row?

A

6 mph

38
Q

(30 seconds) Two congruent angles have the measures 8x and 70 + x. What is the value of x?

A

10

39
Q

(10 seconds) What is the term for two numbers which show the location of a point on a coordinate grid?

A

Ordered Pair

40
Q

(30 seconds) Factor x² - 10x – 24.

A

(x – 12) (x + 2)

41
Q

(30 seconds) A line segment begins at (7,4) with midpoint (2,2). What is the other endpoint?

A

(-3,0)

42
Q

(10 seconds) Name the rectangular array of quantities or expressions in rows and columns that is treated as a single entity and manipulated according to particular rules.

A

Matrix

43
Q

(30 seconds) Solve for y if 2y + 5 = - 3y – 10.

A

y = -3

44
Q

(30 seconds) Find the area of a trapezoid with bases of 10 inches and 14 inches, and a height of 5 inches.

A

60 in. squared

45
Q

(10 seconds) Name the mathematical concept that can be defined as a way in which a set or number of things can be ordered or arranged.

A

Permutation

46
Q

(60 seconds) A bowler scores an average of 134 in 4 games. What must he score in a 5th game to raise his average to 141?

A

169

47
Q

(30 seconds) What is the difference between 64 squared and 65 squared

A

129

48
Q

(30 seconds) Find the value of the function f of x equals 4x squared plus 2x minus 5 when x equals one-half

A

-3

49
Q

(45 seconds) How many ounces are there in three quarts and one pint?

A

112 oz

50
Q

(30 seconds) (Geometry): Find the x intercepts of the parabola with the equation:
y equals x squared plus x minus 6

A

2 and -3

51
Q

Math (10 seconds): Secant of theta minus the quantity of theta times the sine of theta.

A

Cosine (of) theta

52
Q

(45 seconds) What is the product of the complex number 3 minus 2i and its conjugate, 3 plus 2i?

A

13

53
Q

(30 seconds) In triangle ABC, the measure of angle B is 2 times the measure of angle A. The measure of angle C is 5 degrees more than angle B. Find the measure of angle C.

A

75 degrees

54
Q

(10 seconds) Give the sine of 45 degrees.

A

Radical 2 over 2

55
Q

(30 seconds) On a Richter scale, how many more times powerful is an earthquake with a magnitude of 6 than one with a magnitude of 4?

A

100

56
Q

(60 seconds) A bowler scores an average of 134 in 4 games. What must he score in a 5th game to raise his average to 141?

A

169

57
Q

(10 seconds) Name the trigonometric function which is the reciprocal of cosine.

A

Secant

58
Q

(60 seconds) If labor on a car repair job costs $87 for 3 hours work, what will the labor cost be for 7 hours?

A

$203

59
Q

(30 seconds) Give the reciprocal of 0.6

A

10/6 (ten-sixths) or 5/3 (five-thirds)

60
Q

(30 seconds) What is the area of an isosceles triangle with sides that measure 10m, 10m, and 12m?

A

48 square meters

61
Q

(60 seconds) A rectangle with dimensions 18 by 24 is inscribed in a circle. Find the radius of the circle.

A

15

62
Q

(30 seconds) If Jane goes to the library every 4th day while John goes ever 10th day and both visited the library November 1st, when is the next day they are both at the library?

A

November 21st

63
Q

(30 seconds) A square and a rectangle have equal areas. The rectangle is 16 units by 4 units. What is the perimeter of the square?

A

32 units

64
Q

(60 seconds) A father is four times as old as his son. Five years ago he was seven times as old. Give the present age of either.

A

The father is 40; the son is 10.

65
Q

(30 seconds) What is the radius of a sphere with a volume of 36 pi cubic centimeters?

A

3 cm

66
Q

(30 seconds) Divide 10 factorial by 7 factorial.

A

720

67
Q

(60 seconds) If a car costs $5,200 and there is a 10% sales tax, what will you pay for the car?

A

$5,720

68
Q

(30 seconds) What is the common name of a regular hexahedron?

A

Cube

69
Q

(60 seconds) Find the area of a parallelogram with height 8 centimeters, base 10 centimeters, and side 9 centimeters.

A

80 cm squared

70
Q

(30 seconds) Express the radian angle measurement of 7 pi over 6 in degrees.

A

210 degrees

71
Q

(10 seconds) Name the quadrilateral that has only two pairs of consecutive sides congruent?

A

Kite

72
Q

(60 seconds) Find the fifth term of the geometric sequence with first term 36 and second term negative 18.

A

2.25 or two and one fourth or nine fourths

73
Q

(30 seconds) Solve for x: Two to the power “x plus 4” equals 32.

A

x = 1

74
Q

(30 seconds) (Food) Joe had a piece of cake and three scoops of ice cream and consumed 680 calories. A piece of cake has 20 less than half the calories in a scoop of ice cream. How many calories are there in a scoop of ice cream?

A

200 calories

75
Q

(30 seconds) A company sells their Mr. Hamilton memorabilia for an 140% profit. What would be the price for a Mr. Hamilton fathead that has a production value of $65.00

A

$140

76
Q

(30 seconds) Two thirds of 18 is equal to four thirds of what number?

A

9

77
Q

(30 seconds) Besides zero and one, what is the lowest number that is both a perfect square and a perfect cube?

A

64

78
Q

(60 seconds) Solve for x in the equation:
8x squared minus 6 x plus 1 equals zero

A

x equals one half and one fourth. (must have both answers)

79
Q

(30 seconds) How many integers between 10 and 100 have exactly one digit equal to 3?

A

17

80
Q

(30 seconds) The Smith’s insured their house for $74,800, which is 85% of its value. What is the value of their house?

A

$88,000

81
Q

(30 seconds) Factor the expression: 2xy plus 3x plus 8y plus 12.

A

(x + 4)(2y + 3)

82
Q

(30 seconds) Give the slope of the line that is perpendicular to the line which contains the points (1, 2) and (5, 8).

A

-2/3 or negative 2 over 3 or 2 over negative 3

83
Q

(30 seconds) The denominator of a fraction is 7 more than the numerator. If 5 is added to the numerator and denominator, the value of the resulting fraction is one-half. What was the original fraction?

A

2/9 or 2 over 9

84
Q

(30 seconds) What is “i” to the 320th power?

A

1

85
Q

(45 seconds) Solve the system of equations : 3a - 2b = 13 and 4b - 29 = -5a.

A

a = 5, b = 1 or (5,1)

86
Q

(30 seconds) (Term): Solve the equation, “square root of 2x equals 3 times the square root of 2,” for x.

A

x=9

BVSW Scholars Bowl (13 decks)

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