General Maths

Question 1

Meaning of
B
I
D
M
A
S

Answer 1

Meaning is
B-bracket
I-indices
D-division
M-multiplication
A-addition
S-subtraction

Question 2

In geometry, what is the mathematical term for the perimeter of a circle?

Answer 2

circumference

Question 3

How many sides does a Pentagon have?

Answer 3

five

hexagon (6 sides)
heptagon (7 sides)
octagon (8 sides)
nonagon (9 sides)
decagon (10 sides)

Question 4

__________ data includes numerical measurements and __________ data includes descriptive words.

Answer 4

Quantitative (or empirical); qualitative

Question 5

If a shirt was originally $4, and now it costs $5, by what percent did the price increase?

Answer 5

25%
Percent change is calculated by dividing the difference between the two numbers by the original number, then multiplying by 100 to convert it to a percentage.

For example: A shirt was originally $4, but is now $6. What is the percent change?

6 - 4 = 2
2 / 4 = .5
.5 * 100 = 50%

Question 6

What is the mathematical term for the distance from one side of a circle to the other measured in a straight line through the center?

Answer 6

diameter

Question 7

What is the name for the amount of space within a three-dimensional figure?

Answer 7

volume

Common volume equations include:
Sphere: (4/3) * π * r3
Cylinder: V = (π * r * r) * h
Square Pyramid: V = (l * w * h) / 3
Rectangular Prism: V = l * w * h
Volume can also be thought of as the amount of water that would fit inside something.

Question 8

What is the mathematical formula to calculate the volume of a rectangular prism?

Answer 8

length * width * height

For example, the volume of a rectangular prism with a length of 4, a width of 8, and a height of 5 is 160.

Question 9

What is the mathematical formula to calculate the area of a rectangle?

Answer 9

length * width

For example, the area of a rectangle with a length of 8 and a width of 5 is 40.

The equation for that would be 8 * 5 = 40

Question 10

What is the mathematical term for lines that form a 90-degree angle at their intersection?

Answer 10

perpendicular

Question 11

What is the mathematical formula to calculate the area of a triangle?

Answer 11

1/2 * base * height

For example, the area of a triangle with a base of 7 and a height of 4 is 14.

The equation for that would be 1/2 * 7 * 4 = 14

Question 12

What is the mathematical formula to calculate the chances of something occurring from a set of possible outcomes?

Answer 12

target outcomes / total number of outcomes

For example, the probability of drawing an ace on your first attempt out of a deck of cards would be 7.7%.

The equation for that would be (4 / 52) * 100 = 7.7%

The reason you multiply by 100 is so you turn a decimal into a percentage.

Question 13

What is the mathematical term for a number that, when squared, results in a negative number?

Answer 13

imaginary number

Imaginary numbers were once mocked and thought to be useless, but have since been applied to serious mathematics applications.

One such example is in electronics, where imaginary numbers are used to calculate the current.

Question 14

What area measurement equals exactly 43,560 square feet?

Answer 14

acre

(hectare)

Some things that are often measured in acres are properties or forest land.

Question 15

What mathematical formula is used to calculate an average (or mean)?

Answer 15

the sum of terms/number of terms

For example, the average of 10, 13, 7, 3, and 17 is 10.

The equation for that would be (10 + 13 + 7 + 3 +17) / 5 = 10

Question 16

1 inch (in) ≈ __ centimeters (cm)

Answer 16

1 in ≈ 2.54 cm

To convert inches to centimeters, you multiply the inch value by 2.54.

Quick calculations:

5 ft 8 in (68 in) ≈ 173 cm
6 ft (72 in) ≈ 183 cm
100 cm (1 m) ≈ 39 in

Question 17

What mathematical term measures the space occupied by a two-dimensional surface?

Answer 17

area

Common area equations include:

Circle: A = π r^2
Triangle: A = 1/2 b * h
Rectangle: A = s1 * s2
Parallelogram: A = b * h

Question 18

Because 6 can be divided neatly by 2 and 3 without remainder, it is said that 2 and 3 are _____ of 6.

Answer 18

factors

For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

We can also say that 6 is “divisible” by 3. Being able to quickly remember a number’s factors is a helpful skill for many everyday math activities, like dividing a bill.

Question 19

1 inch (in) ≈ __ centimeters (cm)

Answer 19

1 in ≈ 2.54 cm

To convert inches to centimeters, you multiply the inch value by 2.54.

Quick calculations:

5 ft 8 in (68 in) ≈ 173 cm
6 ft (72 in) ≈ 183 cm
100 cm (1 m) ≈ 39 in

Question 20

1 foot (ft) ≈ __ meters (m)

Answer 20

1 ft ≈ 0.3 m

Conversely, to convert meters to feet, you multiply the number of feet by 3.2808.

Quick conversions:

1 yard (3 ft) ≈ 0.9 m
100 ft ≈ 30 m
100 yards (300 ft) ≈ 91 m

Question 21

1 pound (lb) ≈ __ kilograms (kg)

Answer 21

1 lb ≈ 0.45 kg

Conversely, to convert pounds to kilograms, you divide the number of pounds by ≈ 2.2.

Quick conversions:

5 lb ≈ 2.3 kg
5 kg ≈ 11 lb
100 lb ≈ 45 kg
100 kg ≈ 220 lb

Question 22

What is the formula to translate Celsius to Fahrenheit?

Answer 22

F = (9/5)*C + 32

Quick conversions:

0° C = 32° F
100° C = 212° F
68° F = 20° C
90° F = 32° C
100° F = 38° C

Question 23

What is the mathematical term for the average value of a group of numbers?

Answer 23

mean

For example, the mean of 1, 2, 3, 4, and 100 is 22.

With a mean, one huge outlier can skew the “average” and present a different picture than most of the population’s actual stats.

Meanwhile, for something like your grades, one 0 can similarly bring down your mean class grade significantly.

Question 24

1 mile (mi) ≈ __ kilometers (km)

Answer 24

1 mi ≈ 1.6 km

Conversely, to convert km to mi, you multiply the number of km by ≈ 0.6.

Quick conversions:

5 mi ≈ 8 km
5 km = 3.1 mi
10 mi ≈ 16 km
10 km ≈ 6.2 mi

Question 25

Convert:

1 gallon to liters

Answer 25

1 gallon = 3.785 liters

For a quicker (although less accurate) calculation, multiply the number of gallons by 3.8 liters.

Question 26

What mathematical theorem is depicted below?

Answer 26

Pythagorean Theorem

Discovered by the Greek philosopher and mathematician Pythagoras (570 - 495 BC), this theory is commonly used to deduce the missing side of a right triangle when the length of the other two sides is known.

Question 27

Which Greek mathematician, known as the Father of Geometry, wrote Elements?

Answer 27

Euclid

(Lived around 300 B.C.)

Euclid’s findings still influence the study of geometry to this day.

Euclidian Geometry is still the title of many high school and college classes.

Question 28

What is the mathematical term for the middle number in a set of numbers when they are ordered from least to greatest?

Answer 28

median

For example, the median of 1, 2, 4, 7, and 9 is 4.

The median can be used to determine an approximate average. It represents the middle value in a dataset.

Question 29

Which numerical system uses letters from the Latin alphabet to represent numbers, for example, MCXV, III, and XVII?

Answer 29

Roman numerals

Roman numerals are still used today, for things like book outlines, architectural blueprints, and serial items like events (e.g. Super Bowl XLVIII = Super Bowl 48).

Roman numerals are written from largest to smallest. If a smaller number is placed before a larger one, that value should be subtracted from the larger one. For example, IX is 9 (10-1).

Question 30

The numbers 6, 9, 12, etc. are all _____ of 3.

Answer 30

multiples

For example, the multiples of 3 include 3, 6, 9, 12, etc.

Being able to mentally calculate the multiples of an integer is an important skill in common daily activities, like making forecasts or estimates.

Question 31

What is the mathematical term for the distance from the center of a circle to its circumference

Answer 31

radius

Radius is often used when citing the distance of some phenomenon from a central location.

Ex: “There is earthquake damage for a 10-mile radius from the epicenter.” Or “The fugitive is expected to still be within a 5-mile radius from here”.

Question 32

What are the qualifications for a number to be considered prime?

Answer 32

if it is divisible by only 1 and itself

For example, 11 is prime, since its only factors are 1 and 11.

The opposite of a prime number is called a composite number. 10 is not prime, and would therefore be categorized as composite since its factors include 1, 2, 5, 10.

Exceptions:

0 is neither prime nor composite.
1 is neither prime nor composite.
A common misconception is that 1 is prime, but it is not technically divisible by 1 AND itself.

Question 33

What is the mathematical term for lines that are the same distance apart at every point along their length and never touch?

Answer 33

parallel

Parallels are important in maths because they allow the understanding of relationships between paths of objects and sides of various shapes.

Some examples of parallel lines are the following:
* Railway tracks
* Zebra crossings
* Electrical wires

Question 34

In a perfect circle, what is the mathematical constant for the ratio between its circumference and diameter?

Answer 34

pi

(π)

Question 35

What is the mathematical term for the distance from the center of a circle to its circumference?

Answer 35

radius

Radius is often used when citing the distance of some phenomenon from a central location.

Ex: “There is earthquake damage for a 10-mile radius from the epicenter.” Or “The fugitive is expected to still be within a 5-mile radius from here”.

Question 36

Which numerical system uses letters from the Latin alphabet to represent numbers, for example, MCXV, III, and XVII?

Answer 36

Roman numerals

Roman numerals are still used today, for things like book outlines, architectural blueprints, and serial items like events (e.g. Super Bowl XLVIII = Super Bowl 48).

Roman numerals are written from largest to smallest. If a smaller number is placed before a larger one, that value should be subtracted from the larger one. For example, IX is 9 (10-1).

Question 37

What is the mathematical term for the average value of a group of numbers?

Answer 37

mean

For example, the mean of 1, 2, 3, 4, and 100 is 22.

With a mean, one huge outlier can skew the “average” and present a different picture than most of the population’s actual stats.

Meanwhile, for something like your grades, one 0 can similarly bring down your mean class grade significantly.

Question 38

1 mile (mi) ≈ __ kilometers (km)

Answer 38

1 mi ≈ 1.6 km

Conversely, to convert km to mi, you multiply the number of km by ≈ 0.6.

Quick conversions:

5 mi ≈ 8 km
5 km = 3.1 mi
10 mi ≈ 16 km
10 km ≈ 6.2 mi

Question 39

Convert:
1 gallon to liters

Answer 39

1 gallon = 3.785 liters

For a quicker (although less accurate) calculation, multiply the number of gallons by 3.8 liters.

Question 40

Which Greek mathematician, known as the Father of Geometry, wrote Elements?

Answer 40

Euclid

(Lived around 300 B.C.)

Euclid’s findings still influence the study of geometry to this day.

Euclidian Geometry is still the title of many high school and college classes.

Question 41

What mathematical theorem is depicted below?

Answer 41

Pythagorean Theorem

Discovered by the Greek philosopher and mathematician Pythagoras (570 - 495 BC), this theory is commonly used to deduce the missing side of a right triangle when the length of the other two sides is known.