mathematics Flashcards

1
Q

What is the formula for the area of a rectangle?

A

Area = Length x Width.

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2
Q

What is PI (π)?

A

Pl is a constant (3.1416) and is the ratio of the circumference to the diameter of any circle.

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3
Q

What is the formula for the circumference to the diameter of any circle?

A

C = π x D.

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4
Q

What is the formula for the area of a circle?

A

A = π R^2.

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5
Q

What is the formula for the volume of a cylinder?

A

V = π R^2H (height of the cylinder).

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6
Q

What is the formula used for finding the volume of a rectangle?

A

V = L x W x H

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7
Q

What is the root of a number?

A

The root of a given number is the base number that when multiplied by itself one or more times will
produce the given number. (E.g. the root of 4 is 2; 2 x 2 = 4)

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8
Q

Give examples of perfect square numbers.

A

4, 9, 16, 64, 100, 144, etc. 36

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9
Q

What is a squared number?

A

A number that is multiplied by itself. For example, the square of two is four (2x2=4).

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10
Q

How do you express a decimal as a percent?

A

Move the decimal two places to the right and add the percent sign. For example, .75 is 75%, or .375 is 37.5%.

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11
Q

Using the powers of ten, how may 1,000,000 be expressed?

A

Ten to the sixth power. 10^6

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12
Q

What is scientific notation?

A

Representing very large or small numbers using powers of 10.

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13
Q

What is the sum of a large negative number and a small positive number?

A

Subtract the smaller number from the larger number and use the sign of the larger number in the answer.

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14
Q

Name at least two ways a ratio may be expressed.

A

As a fraction (7/8); by the use of a colon (7:8); by the word “to” (7 to 8)

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15
Q

What is a proportion?

A

A ratio that describes the relation between two objects of different dimensions (3:4=6:8).

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16
Q

How do you divide one fraction by another?

A

Using cross multiplication.

17
Q

What is a right angle, obtuse angle, and acute angle?

A

A right angle is an angle of 90°, an obtuse angle is an angle greater than 90°, and an acute angle is
an angle of less than 90°.

18
Q

What is a quadrant?

A

It is one quarter of a circle.

19
Q

What is a polygon?

A

A closed shape that is made up of three or more sides.

20
Q

What is a parallelogram?

A

A four sided object with two parallel sides (trapezoid).

21
Q

What is the hypotenuse of a triangle?

A

It is the long side that is opposite of the 90’ angle.

22
Q

What is a mixed number?

A

It is a whole number followed by a fraction (21/2).

23
Q

How can a decimal number be changed to a fraction?

A

Multiply the decimal value by the desired denominator; the result will be the numerator of the fraction.

24
Q

What is a trapezoid?

A

A quadrilateral (a four-sided shape) having one pair of parallel sides.

25
Q

What is the procedure for dividing one fraction by another fraction?

A

Invert the divisor and multiply the numerators together and the denominators together

26
Q

What is a key step to perform in preparing to add or subtract unlike fractions?

A

Find their lowest common denominator

27
Q

What is the procedure for converting a fraction into a decimal?

A

Divide the numerator by the denominator.

28
Q

What is an equilateral triangle?

A

A triangle with three equal sided.

29
Q

What is the procedure for converting a fraction into percent?

A

Divide the numerator by the denominator, move the decimal point over two places in the quotient,
and affix a percent symbol.

30
Q

What is a ratio?

A

The compare of two numbers or quantities.

31
Q

Name three of the six types of triangles?

A

(1) Equilateral, (2)Isosceles, (3)Acute, (4)Right, (5)Obtuse, (6)Scalene