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
Q

3.4 Area of a Triangle

A

Base x Height ÷ 2

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26
Q

3.5 Area of a Trapezium

A

1/2 (a+b)h, where a and b are the lengths of the parallel sides, and h the perpendicular height

27
Q

3.6 Volume of a Cylinder

A

For a cylinder of heighthwith radiusr, the volume of a cylinder can be calculated using the formula:

28
Q

3.7 Volume of a Cone

A

The formula for calculating the volume of a cone, where r is the radius and h is the perpendicular height is:

29
Q

3.8 Volume of a Pyramid

A

The volume of a pyramid can be calculated using the formula:

30
Q

3.9 Volume of a Sphere

A

The volume of a sphere be calculated using the formula

31
Q

4 Pi (π)

A

The ratio of a circle’s circumference to its diameter

32
Q

4.1 Radius

A

A line that goes from the centre to the circumference. It is half the length of the diameter

33
Q

4.2 Diameter

A

A line that passes through the centre of the circle. It is double the length of the radius

34
Q

4.3 Circumference of a circle

A

The outside of the circle. The perimeter of the circle C=2πr=πd

35
Q

4.4 Area of a circle

A

A=πr^2

36
Q

4.5 Chord

A

A line segment connecting two points on a circle

37
Q

4.6 Sector

A

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

Area of a sector= angle/(360°)×πr^2

38
Q

4.7 Segment

A

An AREA within a circle bounded by a chord and an arc The smaller area is the minor segment and the

39
Q

4.8 Arc

A

Part of the circumference between two points. Arc length= angle/(360°)×πd

40
Q

4.9 Tangent

A

A straight line that touches the circle at one point.

41
Q

5 Qualitative Data

A

Non-numerical, descriptive data E.g. Eye colour, gender

42
Q

5.1 Quantitative Data

A

Numerical data E.g. Shoe size, weight

43
Q

5.2 Continuous Data

A

Data that can take any numerical value within a given range. E.g. weight, voltage

44
Q

5.3 Discrete Data

A

Data that can take only specific values within a given range. E.g. number of children, shoe size

45
Q

5.4 Grouped data

A

Data that has been grouped into categories

46
Q

5.5 Primary data

A

Data that has been collected by yourself for a specific purpose E.g. Survey

47
Q

5.6 Secondary data

A

Data that has been collected by someone else for another purpose E.g. Websites

48
Q

5.7 Mean

A

To calculate the mean add up the values and divide by how many values there are

49
Q

5.8 Median

A

The middle value from a set of ordered data

50
Q

5.9 Mode/Modal Value

A

MOst frequent piece of data

51
Q

6 Range

A

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

52
Q

6.1 Positive Correlation

A

As one value increases the other value Increases. E.g. Height and weight – taller people tend to be heavier

53
Q

6.2 Negative Correlation

A

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
Q

6.6 Compound Shape

A

A shape made up of a combination of other known shapes put together.

55
Q

6.7 Net

A

A pattern that you can fold to make a model of a 3D shape.

56
Q

6.8 Volume

A

The amount of 3D space inside a shape. The capacity of that object, measured in cubic units

57
Q

6.9 Prism

A

A prism has across-sectionwhich is exactly the same shape and size throughout its length.

58
Q

7 Cross section

A

A cross section is the shape made by cutting straight across an object.

59
Q

7.1 Volume of a prism

A

Volume of a prism = Area of the cross section x Length

60
Q

7.2 Volume of a Cube/Cuboid

A

Volume of a cube/cuboid = length x width x depth

61
Q

7.3 Surface area a Cube/Cuboid

A

The total area of all the faces of a cube/cuboid

62
Q

6.3 Speed, Distance, Time

A
Speed = Distance ÷ Time
Distance = Speed x Time
Time = Distance ÷ Speed
63
Q

6.4 Density, Mass, Volume

A
Density = Mass ÷ Volume
Mass = Density x Volume
Volume = Mass ÷ Density
64
Q

6.5 Pressure,Force, Area

A
Pressure = Force ÷ Area
Force = Pressure x Area
Area = Force ÷ Pressure