Maths Flashcards

1
Q

sin 0°

A

0

2
Q

sin 30°

A

1/2

3
Q

sin 45°

A

√2/2

4
Q

sin 60°

A

√3/2

5
Q

sin 90°

A

1

6
Q

sin =

A

opposite / hypotenuse

7
Q

cos =

A

8
Q

tan =

A

9
Q

tan-1(opp/adj) is an example of how to find..

A

an angle

10
Q

tan30 = opp/adj is an example of how to find..

A

a side

11
Q

Density =

A

Mass/volume

12
Q

Cosine rule

A

a² = b² +c² - (2bcCosA)

13
Q

Cosine rule for angles

A

CosA = b² + c² - a² / 2bc

14
Q

Area of triangle using trigonometry

A

1/2abSinC

15
Q

Sine rule

A

SinA/a = SinB/b = SinC/c

16
Q

x² - 25 factorised

A

(x+5)(x-5)

17
Q

A

−b ± √b² −4ac
_____________
2a

18
Q

Tan30

A

1/√3

19
Q

Tan 45

A

1

20
Q

Tan60

A

√3

21
Q

Cos30

A

√3/2

22
Q

Angle at centre theorem

A

The angle at the centre is twice the size the angle at the circumference

23
Q

The angle in a semi - circle is

A

A right angle

24
Q

Angles in the same segments are

A

Equal

25
Q

Opposite angles in a cyclic quadrilateral..

A

Sum up to 180°

26
Q

Relationship between a tangent and a radius

A

They are perpendicular

27
Q

Angles in alternate segments are

A

Equal

28
Q

Tangents from a point are

A

Equal

29
Q

Conditions for congruent triangles

A

SSS
ASA
SAS
RHS

30
Q

When are triangles similar?

A

When all the angles are the same but the sides are different sizes

31
Q

What are bearings?

A

3 digit angles measured in a clockwise direction from north

32
Q

How to prove if 3 points are collinear

A

• The vectors are parallel
• The vectors share a common point

33
Q

Mutually exclusive events

A

Events that cannot happen together

34
Q

Independent events

A

Events whose outcomes do not affect each other

35
Q

Population

A

A whole group being studied

36
Q

Sample

A

A collection taken from a larger group

37
Q

Stratified sampling

A

Using the ratios between a given sample and population to create a new sample

38
Q

Upper quartile is equal to

A

75%

39
Q

Lower quartile is equal to

A

25%

40
Q

Formula to calculate median

A

(n+1) / 2

41
Q

Calculating the possible original number after 27300 is the rounded number to 2sf

A

• 2nd sf is 7
• 7 is in the thousands column
• 1000/2 = 500
• +/- 500

42
Q

Interpreting box plots

A

• Compare the medians
• Compare the interquartile ranges
(Smaller IQR = consistent distribution)

43
Q

Positive quadratic equations on a graph look like a

A

U

44
Q

Truncation

A

Cutting off the numbers after a decimal place
eg 9.999 becomes 9

45
Q

Curved surface area of cylinder formula

A

2πrh

46
Q

Calculate HCF

A

Multiply the common prime factors between both numbers (each number only being counted once)
(A ∩ B)

47
Q

Calculate LCM

A

Multiply all the prime factors between both numbers (with the common ones being counted once)
(A ∪ B)