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Mathematics Year 08 > Maths Yr08 Sum1 > Flashcards

Maths Yr08 Sum1 Flashcards

1
Q

1.0 Fair

A

An event or experiment is fair if all outcomes are equally likely.

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2
Q

1.1 Bias

A

An event of experiment is biased if not all outcomes are equally likely.

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3
Q

1.2 Sample Space

A

A sample space is a means of listing all possible outcomes to an experiment – usually a table.

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4
Q

1.3 Theoretical Probability

A

Is the probability, in theory, you expect to get from an statistical experiment

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5
Q

1.4 Calculating theoretical probability

A

Probability (P) = Number of ways to get that event Number of all possible outcomes

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6
Q

1.5 Relative Frequency or experimental probability

A

The number of times an event happens, divided by the total number of trials in an actual experiment.

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7
Q

1.6 Mutually Exclusive events

A

Two or more events that cannot happen at the same time.

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8
Q

1.7 Independent events

A

Two events are independent if one event does not affect the probability of another.

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9
Q

1.8 Probability of two independent events both happening

A

P(A and B) = P(A) X P(B)

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10
Q

10.0 Transformation

A

A way of changing the size or position of a shape.

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11
Q

10.1 Object

A

The original shape before a transformation has occurred

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12
Q

10.2 Image

A

The transformed shape after a transformation has taken place

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13
Q

10.3 Translation

A

Moves a shape vertically and/or horizontally. It does not change its orientation

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14
Q

10.4 Column Vector

A

Gives an instruction for a translation (movement).

(Movement in x direction)¦(Movement in y direction)

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15
Q

10.5 Reflection

A

This transforms an object by reflecting in a line of symmetry.

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16
Q

10.6 Rotation

A

Turning and object around a point (centre of rotation):
We can rotate by any angle, in a clockwise or anticlockwise direction. The distance from the centre to any point on theshapestays the same.

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17
Q

10.7 Enlargement

A

Make a shape bigger or smaller. All sides of the original shape are multiplied by the same scale factor (multiplier). Each point is enlarged from a centre point, controlling where the image ends up.

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18
Q

2.0 The AND rule

A

The probability of an event occurring AND then another event, can be found by MULTIPLYING their probabilities

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19
Q

2.1 The OR rule

A

The probability of an event OR another event occurring, can be found by ADDING their probabilities.

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20
Q

2.2 Expected number of outcomes

A

(The probability of the event occurring) x (the number of trials)

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21
Q

3.0 Statistics

A

The collection, organisation, presentation, and interpretation of data

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22
Q

3.1 Data

A

A collection of facts, words, numbers, or measurements

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23
Q

3.2 Qualitative Data

A

Descriptive information

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24
Q

3.3 Quantitative Data

A

Numerical information

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25
Q

3.4 Discrete Data

A

Can only take certain values

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26
Q

3.5 Continuous Data

A

Can take any value (within a range)

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27
Q

4.0 Average

A

The central tendency of data. There are three measures of average: The mean, median, or mode

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28
Q

4.1 Calculating Mean

A

Divide the sum of all the data points by the total number of data points

29
Q

4.2 Finding the Median

A

The middle piece of data in an ordered data set

30
Q

4.3 MOde/Modal

A

The MOst frequent piece of data.

31
Q

4.4 Range

A

The difference between the lowest and highest values in a data set

32
Q

4.5 Positive Correlation

A

When the two variables increase together

33
Q

4.6 Negative Correlation

A

When one variable increases the other decreases

34
Q

5.0 Sequence

A

A pattern of numbers or objects that follow a rule

35
Q

5.1 Term

A

One of the numbers or objects in a sequence

36
Q

5.2 Term-to-term rule

A

A rule that defines the value of each term in a sequence if the previous terms are known

37
Q

5.3 Nth term rule (position to term)

A

A formula relating the position, n, to the value of a term.

38
Q

6.0 Square Number sequence

A

The sequences of square numbers: 1, 4, 9, 16, 25, 36 ……….

The square number sequence can be defined with the simple defined as n2

39
Q

6.1 Cube Number Sequence

A

The sequence of cube numbers: 1, 8, 27, 64, 125……The cube number sequence can be define as n3

40
Q

6.2 Triangular Number Sequence

A

A number that can be represented in the shape of a triangle e.g. 3, 6, 10, 15, 21…..

41
Q

6.3 Fibonacci Sequence

A

Each number is the sum of the two numbers before 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …

42
Q

6.4 Arithmetic (linear) sequence

A

A sequence where terms have the same value added/subtracted each time known as a common difference

43
Q

6.5 Quadratic sequence

A

Where the second line of difference in an arithmetic sequence is constant

44
Q

6.6 Geometric sequence

A

Each term is multiplied by the same value his is known as a common ratio.

45
Q

7.0 Term

A

A number, a variable, or a product of both

46
Q

7.1 Expression

A

A group of numbers, symbols and/or operations

47
Q

7.2 Identity

A

An equation that is true for all values. We use ‘ ≡ ‘ to show that the expressions on either side are ALWAYS equal

48
Q

7.3 Equation

A

A mathematical statement containing an equals sign.

49
Q

7.4 Formula(e)

A

A mathematical rule written using symbols

50
Q

7.5 Substitution

A

The replacement of numbers for letters

51
Q

7.6 Solve

A

Solving an equation finds numerical values for all the variables that make the equation true

52
Q

8 Perimeter

A

The distance around the outside of a 2D shape.

53
Q

8.1 Area

A

The space occupied by a flat 2D of an object, measured in unit squares..

54
Q

8.2 Volume

A

The amount of 3D space, measured in cubic units, that an object occupies. The capacity of that object

55
Q

8.3 Surface Area

A

The total surface area of all the faces of a 3D object

56
Q

8.4 Prism

A

A solid object with identical ends, flat faces, and the same cross-sectional shape throughout

57
Q

8.5 Face

A

The flat surface of a 3D shape

58
Q

8.6 Edges

A

The line segment that joins two vertices together and boarders two faces

59
Q

8.7 Vertices (Vertex)

A

The point where lines meet. Vertex means corner. Vertices is the plural

60
Q

8.8 Net

A

A flat shape made up of the faces of a 3D object that can be folded up into a 3D solid.

61
Q

9 Circumference

A

The distance around the edge of the circle. It is the circles perimeter

62
Q

9.1 Arc

A

Part of the circumference between two points

63
Q

9.2 Radius

A

Is a line segment joining the centre of a circle with any point on the circumference

64
Q

9.3 Diameter

A

The distance from one point on a circle through the centre to another point on the circle.

65
Q

9.4 Chord

A

A line segment connecting two points on a curve

66
Q

9.5 Segment

A

An AREA within a circle bounded by a chord and an arc

67
Q

9.6 Sector

A

A ‘pie-slice’ part of a circle – the AREA between two radii and the connecting arc of a circle.

68
Q

9.7 Tangent

A

A straight line that meets the circumference at a point at right angles

69
Q

9.8 Area of a circle

A

A=πr^2

Mathematics Year 08 (3 decks)

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