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Mathematics Year 09 > Maths Yr09 Sum1 > Flashcards

Maths Yr09 Sum1 Flashcards

1
Q

1 Distance-Time Graphs

A

You can find the speed from the gradient of the line (Distance ÷ Time)

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2
Q

1.1 Real Life Graphs

A

Graphs that model a real-life situation

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3
Q

1.2 Pythagoras’ theorem

A

For any right angled triangle:

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4
Q

1.3 Hypotenuse

A

The longest side of a right-angled triangle. It is always opposite the right angle. For Pythagoras’ theorem, this is represented by ‘c’. For trigonometry we label it ‘H’

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5
Q

1.4 Adjacent

A

The side next to the angle.

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6
Q

1.5 Opposite

A

The side opposite the given or asked for angle.

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7
Q

1.6 Trigonometric Formulae

A

Use SOH CAH TOA to remember the formula:

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8
Q

1.7 Acute angle

A

An angle less than 90°

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9
Q

1.8 Right angle

A

An angle of 90°

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10
Q

1.9 Obtuse angle

A

An angle between 90° and 180°

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11
Q

2 Reflex angle

A

An angle greater than 180° but less than 360°

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12
Q

2.1 Angles on a straight line

A

Angles on a straight line sum to 180°

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13
Q

2.2 Angles in a triangle

A

Angles in a triangle sum to 180°

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14
Q

2.3 Angles around a point

A

Angles around a point sum to 360°

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15
Q

2.4 Parallel lines

A

Two lines that are always the same distance apart (equidistant)

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16
Q

2.5 Alternate angles

A

Alternate angles are equal. (‘Z’ shape)

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17
Q

2.6 Corresponding angles

A

Corresponding angles are equal. (‘F’ shape)

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18
Q

2.7 Co-interior angles

A

Co-interior angles sum to 180 (‘C’ shape)

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19
Q

2.8 Vertically opposite

A

Vertically opposite angles are equal

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20
Q

2.9 Bearing

A

An angle, measured clockwise from north line, has 3 digits.

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21
Q

3 Perimeter

A

The total distance around the outside of a shape

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22
Q

3.1 Area

A

The amount of space inside a shape.

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23
Q

3.2 Area of a Rectangle

A

Length x Width

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24
Q

3.3 Area of a Parallelogram

A

Base x Perpendicular Height

Not the slant height.

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25
3.4 Area of a Triangle
Base x Height ÷ 2
26
3.5 Area of a Trapezium
1/2 (a+b)h, where a and b are the lengths of the parallel sides, and h the perpendicular height
27
3.6 Volume of a Cylinder
For a cylinder of height h with radius r, the volume of a cylinder can be calculated using the formula:
28
3.7 Volume of a Cone
The formula for calculating the volume of a cone, where r is the radius and h is the perpendicular height is:
29
3.8 Volume of a Pyramid
The volume of a pyramid can be calculated using the formula:
30
3.9 Volume of a Sphere
The volume of a sphere be calculated using the formula
31
4 Pi (π)
The ratio of a circle’s circumference to its diameter
32
4.1 Radius
A line that goes from the centre to the circumference. It is half the length of the diameter
33
4.2 Diameter
A line that passes through the centre of the circle. It is double the length of the radius
34
4.3 Circumference of a circle
The outside of the circle. The perimeter of the circle C=2πr=πd
35
4.4 Area of a circle
A=πr^2
36
4.5 Chord
A line segment connecting two points on a circle
37
4.6 Sector
An AREA within a circle bounded by a chord and an arc | Area of a sector= angle/(360°)×πr^2
38
4.7 Segment
An AREA within a circle bounded by a chord and an arc The smaller area is the minor segment and the
39
4.8 Arc
Part of the circumference between two points. Arc length= angle/(360°)×πd
40
4.9 Tangent
A straight line that touches the circle at one point.
41
5 Qualitative Data
Non-numerical, descriptive data E.g. Eye colour, gender
42
5.1 Quantitative Data
Numerical data E.g. Shoe size, weight
43
5.2 Continuous Data
Data that can take any numerical value within a given range. E.g. weight, voltage
44
5.3 Discrete Data
Data that can take only specific values within a given range. E.g. number of children, shoe size
45
5.4 Grouped data
Data that has been grouped into categories
46
5.5 Primary data
Data that has been collected by yourself for a specific purpose E.g. Survey
47
5.6 Secondary data
Data that has been collected by someone else for another purpose E.g. Websites
48
5.7 Mean
To calculate the mean add up the values and divide by how many values there are
49
5.8 Median
The middle value from a set of ordered data
50
5.9 Mode/Modal Value
MOst frequent piece of data
51
6 Range
The difference between the lowest and highest values in a data set
52
6.1 Positive Correlation
As one value increases the other value Increases. E.g. Height and weight – taller people tend to be heavier
53
6.2 Negative Correlation
As one value increases the other value Decreases. E.g. The number of weeks a song has been in the Top 40 and sales of the single for that week.
54
6.6 Compound Shape
A shape made up of a combination of other known shapes put together.
55
6.7 Net
A pattern that you can fold to make a model of a 3D shape.
56
6.8 Volume
The amount of 3D space inside a shape. The capacity of that object, measured in cubic units
57
6.9 Prism
A prism has a cross-section which is exactly the same shape and size throughout its length.
58
7 Cross section
A cross section is the shape made by cutting straight across an object.
59
7.1 Volume of a prism
Volume of a prism = Area of the cross section x Length
60
7.2 Volume of a Cube/Cuboid
Volume of a cube/cuboid = length x width x depth
61
7.3 Surface area a Cube/Cuboid
The total area of all the faces of a cube/cuboid
62
6.3 Speed, Distance, Time
``` Speed = Distance ÷ Time Distance = Speed x Time Time = Distance ÷ Speed ```
63
6.4 Density, Mass, Volume
``` Density = Mass ÷ Volume Mass = Density x Volume Volume = Mass ÷ Density ```
64
6.5 Pressure,Force, Area
``` Pressure = Force ÷ Area Force = Pressure x Area Area = Force ÷ Pressure ```

Mathematics Year 09 (3 decks)

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