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Mathematics Flashcards

0
Q

Define square root.

A

The factor of a number that, when squared, will give the number.

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1
Q

What is meant by the root of a number?

A

The root of a number is one of two or more equal numbers that, when multiplied together, will produce the number.

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2
Q

How can you perform math with very small or very large numbers?

A

Scientific Notation (Powers of 10).

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3
Q

How may 1,000,000 be written?

A

10 to the 6th power.

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4
Q

What formula is used to find the area of a rectangle?

A

A = L x W

Area equals length times width.

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5
Q

What formula is used to find the area of a circle?

A

A = pi x r^2 or, A = 0.7854 x D^2

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6
Q

What is the significance of the constant pi?

A

Pi is the ratio of the circumference to the diameter of any circle.

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7
Q

What is a trapezoid?

A

A closed four-sided figure in which only one pair of opposite sides are parallel.

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8
Q

Show two ways a ratio is expressed.

A

7/8 or 7:8

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9
Q

What is meant by a proportion?

A

A statement of equality between two ratios; for example, a/b = b/c is a proportion.

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10
Q

Change 0.29 from a decimal into a percent.

A

29%

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11
Q

What is the rule for dividing fractions?

A

Reciprocate the divisor and multiply across.

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12
Q

What are the steps for adding or subtracting unlike fractions?

A

Find the least common denominator and convert the fractions to the same denominator.

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13
Q

What are the steps to convert a fraction to a decimal?

A

Divide numerator by denominator.

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14
Q

List the steps to convert a fraction to a percent.

A

Divide numerator by denominator, move decimal place, affix percentage sign.

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15
Q

How do you convert a decimal to its nearest fraction?

A

Place decimal over denominator equal to decimal length, reduce to simplest form.
Example: 0.38 = 38/100 = 19/50
0.425 = 425/1000 = 17/40
0.7896 = 7896/10000 = 987/1250

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16
Q

What formula is used to find the volume of a cylinder?

A

V = 0.7854 x d^2 x h or V = pi x r^2 x h

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17
Q

What formula is used to find the volume of a rectangular solid?

A

V = L x W x H

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18
Q

What formula is used to find the area of a triangle?

A

A = (B x H)/2

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19
Q

What is the value of the constant pi?

A

pi = 3.1416

20
Q

What is the eighth power of 2?

A

256

21
Q

What is the square root of 4,096?

A

64

22
Q

What is meant by a negative number?

A

A number less than 0, or a number that is preceded by a minus (-) sign.

23
Q

What is meant by a ratio and how is a ratio expressed?

A

A fraction that compares one number to another; for example, 6:2 is a ratio.

24
Q

What is an angle?

A

A figure formed by two lines radiating from a common point.

25
Q

What is a quadrant?

A

One fourth of a circle.

26
Q

What is the square of 99?

A

9,801

27
Q

What is the cube of 5?

A

125

28
Q

What is the cube root of 1,000?

A

10

29
Q

What is the base of this expression, 10^3?

A

10

30
Q

What is the exponent in this expression, 10^3?

A

3

31
Q

What is meant by scientific notation?

A

A method of writing very large or very small numbers using powers of 10.

32
Q

What is meant by a right angle?

A

An angle of 90 degrees.

33
Q

What is an obtuse angle?

A

An angle greater than 90 degrees but less than a straight line.

34
Q

What is an acute angle?

A

An angle between 0 degrees and 90 degrees.

35
Q

What is a sector?

A

The portion of a circle bounded by two radii and one of the intercepted arcs.

36
Q

What is a polygon?

A

A closed figure having three or more sides.

37
Q

What is an acute triangle?

A

A triangle with three acute angles.

38
Q

What is an obtuse triangle?

A

A triangle with one obtuse angle.

39
Q

What is a right triangle?

A

A triangle containing a 90 degree angle.

40
Q

What is a equilateral triangle?

A

A triangle with three equal sides.

41
Q

What is an isosceles triangle?

A

A triangle with two equal sides.

42
Q

What is a scalene triangle?

A

A triangle in which no two sides are equal.

43
Q

What is the hypotenuse of a right triangle?

A

The side opposite the right angle.

44
Q

What is a quadrilateral?

A

A polygon having four sides.

45
Q

What is a parallelogram?

A

A closed four-sided figure in which the opposite sides are parallel.

46
Q

What is a hexagon?

A

A closed figure with six equal sides.

47
Q

What is meant by a percentage?

A

A fraction having 100 as the denominator. For example: 65% = 65/100

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