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Y8 T3 > Math > Flashcards

Math Flashcards

1
Q

Ratio

A

An amount compared to another amount using : symbol

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2
Q

Simplify

A

Divide all parts of the ratio by a common factor

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3
Q

Direct proportion

A

2 or more quantities are in direct proportion if when one increases or decreases so does the other with the ratio of the quantities staying the same

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4
Q

Unitary method

A

Solving direct proportion problems by 1st calculating the value of a single item

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5
Q

At random

A

Describes a situation where the outcomes are equally likely

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6
Q

Mutually exclusive

A

2 outcomes are mutually exclusive if they can’t happen at the same time

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7
Q

Experimental probability

A

A probability estimated from data collected in an experiment

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8
Q

Theoretical probability

A

A probability found using equally likely outcomes

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9
Q

What’s the formula for the probability that an outcome doesn’t happen?

A

The probability that it doesn’t happen = 1 - p

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10
Q

Equally likely outcomes

A

When each outcome of an experiment occurs with equal probability

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11
Q

How can we find the number of possible outcomes?

A

Total number of equally likely outcomes = no. of outcomes of 1st item x no. of outcomes of 2nd item x …

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12
Q

What is the formula for relative frequency in probability?

A

Relative frequency = frequency / total throws

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13
Q

Why is repeating an experiment more reliable than repeating it for less times?

A

Because you will get better estimates of probabilities

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14
Q

Transform

A

Move a shape by reflection, rotation or translation; change a shape enlargement

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15
Q

Object

A

A shape before a transformation

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16
Q

Image

A

A shape after a transformation

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17
Q

Reflect

A

Transform a shape, producing the mirror image of that shape

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18
Q

Translate

A

Transform a shape by moving each part of the shape the same distance in the same direction

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19
Q

Rotate

A

Transform a shape, moving or turning each point of the shape around a fixed position through the same angle

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20
Q

Enlargement

A

A transformation that increases the size of a shape to produce a mathematically similar image

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21
Q

Combination of transformations

A

2 or more transformations carried out one after another

22
Q

Scale factor

A

The ratio by which a length is increased

23
Q

Centre of enlargement

A

The fixed point of an enlargement

24
Q

pi

A

A mathematical constant approximately 3.14

25
Q

Perpendicular height

A

The height of a shape or object measured at 90° to it’s base

26
Q

Compound shape (or composite shape)

A

A shape made up of simpler shapes

27
Q

What is the formula for the area of a triangle?

A

A = 1/2 bh

28
Q

What does b stand for in area?

A

Base

29
Q

What does h stand for in area?

A

Height

30
Q

What height do we use to find the area of a triangle, parallelogram and trapezium?

A

The perpendicular height

31
Q

What is the formula for the area of a parallelogram?

A

A = bh

32
Q

What is the formula for the area of a trapezium?

A

A = 1/2(a + b)h

33
Q

What is the plural word for trapezium?

A

Trapezia

34
Q

What is the formula for the circumference of a circle if we are given the diameter?

A

C = πd

35
Q

What is the formula for the circumference of a circle if we are given the radius?

A

C = 2πr

36
Q

What is the formula for the circumference of a semicircle?

A

C = 1/2πd + d

37
Q

What is the formula for the circumference of a quarter circle?

A

C = 1/4(2πr)

38
Q

What is the formula for the area of a circle?

A

A = πr²

39
Q

What is the formula for the area of a semicircle?

A

A = 1/2(πr²)

40
Q

What is the formula for the area of a quarter circle?

A

A = πr² /4

41
Q

How do we find the area of compound shapes?

A
  • Divide the shape into simple shapes
  • Work out the area of each simple shape
  • Add or subtract the area of the simple shape to get the area we need
42
Q

What is the formula for the volume of cuboids?

A

V = lwh

43
Q

What is the formula for the surface area of cuboids?

A

SA = 2lw + 2lh + 2wh

44
Q

Circumference of a circle/perimeter or the circle

A

A line made up of points that are the same distance from the center

45
Q

Radius of a circle

A

A line that joins the center of a circle to any point or the circumference

46
Q

Diameter of a circle

A

A line that joins two points of the circumference. It’s 2x the radius

47
Q

Arc

A

Part of the circumference

48
Q

The sector of a circle

A

The area enclosed between two radii and an arc

49
Q

Chord

A

A line segment that joins 2 points on the circumference of a circle

50
Q

Segment

A

An area enclosed between a chord and arc

Y8 T3 (15 decks)

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