Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

B1 1-Maths > 1.1 Arithmetic > Flashcards

1.1 Arithmetic Flashcards

1
Q

Numbers are represented by symbols. What are they called?

A

Digits (i.e 7=1 digit, 48=2 digits, 653= 3 digits,etc)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What is a whole number?

A

Any number that does not have a fractional part

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What are the four basic math operators?

A

Add, subtract, multiply, divide

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

When numbers are combined by addition what is the resulting total called?

A

The sum

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

A number is subtracted from another number to find what is left. What’s this called?

A

The difference

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

When multiplying numbers together the result is called?

A

The product

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

When dividing numbers what is the result called?

A

The quotient

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

When the number being subtracted is the larger number is it positive or negative?

A

Negative

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

How is multiplication shown?

A

By an x or by a mid line dot -

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

When multiplying two positives what is the final product?

A

A positive

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

When multiplying two negatives. What is the final product?

A

A positive

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

When multiplying a positive and a negative. What is the final product?

A

A negative

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

When dividing two positive numbers what is the quotient?

A

A positive

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

When dividing two negative numbers what is the quotient?

A

A positive

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

When dividing a positive and a negative number what is the quotient?

A

A negative

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is BODMAS?

A

Brackets
Orders
Division
Multiplication
Addition
Substation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

What does it mean when a number is squared? I.e 5^2

A

It multiples by itself twice
I.e 5x5=25

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

What is 10 to the power of 5?i.e 10^5

A

10x5=100,000

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

If a question only contains addition and subtraction what should you do?

A

Complete it from left to right

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

if a question only contains division and multiplication what should you do?

A

Complete it from left to right

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

What is the definition of a factor?

A

Is when a number will divide into a number without leaving a reminder
I.e 15/5=3 or 12/3=4

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

What is a prime number?

A

Is when a number can only be divided by itself and 1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

What is the only even prime number?

A

2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

What is the definition of he highest common factor?

A

The largest number that can be divided exactly into the numbers given

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

What is the definition of the lowest common multiple?

A

The lowest number on the lists of multiplication numbers

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

What is the definition of a comon factor?

A

A number that represents a portion or part of a quantity

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

What is the top number of a common factor called?

A

Numerator

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

What is the bottom number of a common fraction called?

A

Denominator

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

What does the numerator define in a common fraction?

A

The number of parts there are

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

What is the denominator defining in a common fraction?

A

The number of parts one unit is divided into

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

What must be the same when comparing two or more fractions?

A

The denominator should be the same (usually the lowest common multiple)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
32
Q

What is a mixed number?

A

A whole number and a proper fraction combined

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
33
Q

When adding fractions what must be the same?

A

Denominator

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
34
Q

Before multiplying mixed nu,bears what must you do first?

A

Converted into improper fractions

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
35
Q

How do you divide two fractions by each other?

A

You must invert the second fraction (divisor) and then multiply. I.e 3/5 divide 7/8 turns into 3/5 multiply 8/7

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
36
Q

True or false, the number of zeros right of the decimal point does not affect the value as long as no other number appears?

A

True

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
37
Q

What must you do when multiplying decimals?

A

Count the amount of digits after the decimal point and then multiply like normal and then add the decimal point back the amount of digits you counted

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
38
Q

When rounding numbers what should you always remember?

A

Round up when its 5 or more

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
39
Q

Where does the word percentage come from?

A

Latin origins ‘per centum’ which means ‘out of one hundred’

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
40
Q

How do you work out a percentage?

A

Divide by 100 and then multiply by the desired percentage

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
41
Q

What must you do when told to express a number as a percentage?

A

Divide the number by the desired percentage and then times by 100
I.e express 12 by 50 is 12/50 x 100

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
42
Q

How do you convert a fraction to a decimal?

A

Divide the numerator (top) by the Denominator (bottom)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
43
Q

How do you convert a fraction into a percentage?

A

Firstly convert it into a decimal and then multiply by 100

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
44
Q

How do you convert a decimal to a fraction?

A

Write your decimal over 1 and then multiply top and bottom by 10 for every decimal place you have and then simplify

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
45
Q

How do you convert a decimal to a percentage?

A

Multiply by 100

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
46
Q

How do you convert a percentage to a decimal?

A

Divide by 100

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
47
Q

How do you convert a percentage to a fraction?

A

Write you percentage over 100 and then simplify

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
48
Q

What does the SI unit system stand for?

A

International system of units (french Système International d’Unités)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
49
Q

In the SI units system what is kilo,mega, giga watts equal to?

A

Kilo- 10^3 or 1,000
Mega- 10^6 or 1,000,000
Giga- 10^9 or 1,000,000,000

50
Q

What is force measured in?

A

Newtons

51
Q

What is the length of an inch?

A

2.54cm or 25.4mm

52
Q

How long is a metre?

A

100cm or 3.3ft or 39.37in

53
Q

How many units is a litre?

A

1,000cm^3 or 0.2642 US gal

54
Q

What is the unit of a newton?

A

1N or 0.2248lb

55
Q

What are the units of a pound in weight?

A

0.4536kg or 16oz

56
Q

What is one bar of pressure equal to in lb/in?

A

14.6 lb/in^2

57
Q

What is the unity of gravity?

A

9.8m/s

58
Q

What is 1 hectopascals equal to?

A

100 pascals or 1mbar (millibar)

59
Q

What is the definition of standard pressure?

A

An established or standard value for atmospheric pressure

60
Q

In imperial units what is the standard atmospheric pressure?

A

14.696psi

61
Q

What is the definition of a ratio?

A

Is a method of expressing the relative size of two or more quantities

62
Q

How would you write a ratio of 1 to 75?

A

1:75

63
Q

If you had a piston with 140in^3 at the bottom stroke and then 20in^3 at the top. What is the compression ratio?

A

140 over 20 which is simplified to 7:1

64
Q

When working out gear ratio what is the calculation?

A

Driven over drive

65
Q

If you had a drive gear with 40 teeth and a driven gear with 20 teeth what would the gear ratio be?

A

20:40 or simplified into 1:2

66
Q

What Is the definition of direct proportion?

A

If one amount increase or decreases then another amount must increase or decrease

67
Q

What is the definition of inverse proportion?

A

When one value increase and the other value decreases

68
Q

What is the definition of an average?

A

Is a number expressing the central or typical value in a set of data

69
Q

What are the three common ways of calculating the average?

A

Mean, mode, median

70
Q

What is the most common form of average?

A

Mean

71
Q

If the type of average is not specified what type of average should you use?

A

The mean

72
Q

How do you work out the mean average?

A

By dividing the sum of values by the total number of values

73
Q

What is the mode average?

A

Is the most frequently occurring data value?

74
Q

What is the median average?

A

The middle number when all the data values are listed in order according to size

75
Q

When asked to find the range, what must you do?

A

It is the difference between the highest value and the lowest value

76
Q

When calculating the median average, what must you do when there is two middle numbers?

A

Add together and then divide by 2

77
Q

What is a 2D shape?

A

Figures that can be drawn on a flat surface

78
Q

How do you calculate the perimeter of a 2D shape?

A

By adding the length of all the straight sides

79
Q

The perimeter of a circle is curved, what is this called?

A

The circumference

80
Q

How do you calculate the circumference of a circle?

A

2 x pie x radius

81
Q

What is the SI unit for area?

A

A square metre or M^2

82
Q

What is the imperial unit for area?

A

Square inch, square foot or square yard

83
Q

How do you work out the area of a square?

A

By multiplying two sides?

84
Q

How do you you work out the area of a triangle?

A

(Base x height) divide by 2

85
Q

How do you work out the area of a rectangle?

A

Multiply the base and the height

86
Q

How do you work out the area of a parallelogram?

A

Base x perpendicular height

87
Q

How do you calculate the area of a trapezium?

A

(The short top + the base) divide by 2 and multiply by the height

88
Q

How do you calculate the area of a circle?

A

Pie x radius^2

89
Q

How do you calculate a small section of a circle?

A

(Pie x radius^2) x (angle over 360)

90
Q

What are the two different measures used for measuring 3D shapes?

A

Surface area and volume

91
Q

What is the definition of surface area?

A

The total area of the surface of an object

92
Q

What are the 3 types of surface area?

A

Curved surface area (CSA)
Lateral surface area (LSA)
Total surface area (TSA)

93
Q

What is the definition of a curved surface area?

A

Area of all curved regions

94
Q

What is the definition of lateral surface area?

A

Area of all curved regions and all the flat surface excluding base areas

95
Q

What is the definition of total surface area?

A

Area of all the surfaces including the base of a 3D object

96
Q

what is the definition of volume when relating to a 3D shape?

A

The total space occupied by the 3D shape or solid

97
Q

What is the SI unit for volume?

A

Cubic metre or m^3

98
Q

How do you calculate the volume of a cylinder?

A

Pie x radius^2 x height

99
Q

How do you calculate the surface area of a cylinder?

A

2 x pie x radius x (radius + height )

100
Q

How do you calculate the volume of a cone?

A

1/3 x pie x radius^2 x height

101
Q

How do you calculate the volume of a sphere?

A

4/3 x pie x radius^3

102
Q

How do you calculate the surface area of a sphere?

A

4 x pie x radius^2

103
Q

How do you calculate the volume of a cube?

A

Length^3

104
Q

How do you calculate the surface area of a cube?

A

6 x length^2

105
Q

How do you calculate the volume of a cuboid?

A

Length x width x height

106
Q

How do you calculate the surface area of a cuboid?

A

2 (length x width + width x height + height x length)

107
Q

What does it mean when a number is squared or to the power of two?

A

It is multiplied by itself twice

108
Q

When a number is multiplied by itself, what is this said to be?

A

To be raised to a given power (i.e 8^4 is 8 to the power of 4)

109
Q

When a number is given a power it sometimes has a different name for the power, what is this name?

A

Exponent

110
Q

In engineering notation what must the exponent be divisible by?

A

3 (i.e x10^3, x10^6, x10^9)

111
Q

When a number is expressed into scientific/normal notation, what happens to the number?

A

The number is expressed in terms of a power of ten (i.e 360,000 is 3.6 x10^5)

112
Q

When a number is in its ordinary notation form what does this look like?

A

The number is expressed in its longest form (no simplifying)

113
Q

When told to convert ordinary notation to scientific notation, what must you do?

A

Convert it into a given power (i.e 36,800,000 is 3.68 x10^7)

114
Q

What happens when converting a negative ordinary notation into scientific notation? i.e 3.68x10^-4

A

The number gets smaller as you have to move the decimal place left instead of right (i.e 0.000368)

115
Q

When adding, subtracting, multiplying, or dividing in scientific or engineering notation, what must you do?

A

Express the numbers in ordinary notation then calculate as normal then turn back into the notation

116
Q

What is the definition of a root √ number?

A

When multiplied by itself a certain number of times it produces that number under the root √

117
Q

If there is only the root sign √ over a number and no index, what is it asking you to do?

A

You to find the square root (√ is the same as 2^ √)

118
Q

If an index number is shown before the root sign √ what is it asking you to do? (I.e 3^√64)

A

To root to that number (i.e 3^√64 = 4)

119
Q

What’s the difference between gear ratio and teeth ratio?

A

Gear ratio counts the difference in rotation and teeth ratio counts the difference in teeth

120
Q

What is the calculation used to convert between Celsius and Fahrenheit?

A

F=1.8xC+32

121
Q

What should you do if you’re subtracting a negative number? I.e -25 - -8=

A

You should add it i.e -25 - -8= -17

B1 1-Maths (4 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions