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Math > Tristan Maths > Flashcards

Tristan Maths Flashcards

1
Q

How do we calculate simple interest?

A

Add the interest rate to the original amount each year. Amount = Original amount x (1 + Interest rate x Number of years)

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2
Q

How do we calculate compound interest?

A

Amount = Original amount x (1 + Interest rate) ^ (Number of years)

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3
Q

Simple interest=5%We start with £150, What do we have after 2 years?

A

Original amount= £150Interest rate= 1+0.05Number of years= 2 150x1.05x2= £165

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4
Q

Compound interest of 5% for 2 years on £150

A

£150 x (1.05)^2 = £165.38

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5
Q

Write 1/2 as a decimal and as a percentage.

A

Decimal: 0.5Percentage: 50%

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6
Q

Write 25% as a decimal and a fraction.

A

Decimal: 0.25Fraction:1/4

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7
Q

Write 0.2 as a percentage and a fraction.

A

Fraction: 1/5Percentage: 20%

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8
Q

Write 1/3 as a decimal and a percentage.

A

Decimal: 0.3Percentage: 33.3%

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9
Q

Write 1/8 as a decimal and a percentage.

A

Decimal: 0.125Percentage: 12.5%

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10
Q

Write 0.1 as a fraction and a percentage.

A

Fraction: 1/10Percentage: 10%

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11
Q

Write 16.6% as a decimal and a fraction.

A

Fraction: 1/6Decimal: 0.16

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12
Q

Write 66.66% as a decimal and a fraction.

A

Fraction: 2/3Decimal: 0.6

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13
Q

1²

A

1 x 1 = 1

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14
Q

2²

A

2 x 2 = 4

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15
Q

3²

A

3 x 3 = 9

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16
Q

4²

A

4 x 4 = 16

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17
Q

5²

A

5 x 5 = 25

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18
Q

6²

A

6 x 6 = 36

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19
Q

7²

A

7 x 7 = 49

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20
Q

8²

A

8 x 8 = 64

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21
Q

9²

A

9 x 9 = 81

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22
Q

10²

A

10 x 10 = 100

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23
Q

12²

A

12 x 12 = 144

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24
Q

11²

A

11 x 11 = 121

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25
Q

13²

A

13 x 13 = 169

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26
Q

14²

A

14 x 14 = 196

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27
Q

15²

A

15 x 15 = 225

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28
Q

1³

A

1 x 1 x 1 = 1

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29
Q

2³

A

2 x 2 x 2 = 8

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30
Q

3³

A

3 x 3 x 3 = 27

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31
Q

4³

A

4 x 4 x 4 = 64

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32
Q

5³

A

5 x 5 x 5 = 125

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33
Q

6³

A

6 x 6 x 6 = 216

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34
Q

7³

A

7 x 7 x 7 = 343

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35
Q

8³

A

8 x 8 x 8 = 512

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36
Q

9³

A

9 x 9 x 9 = 729

37
Q

10³

A

10 x 10 x 10 = 1000

38
Q

12³

A

12 x 12 x 12 = 1728

39
Q

What is the longest side of the right angle triangle called?

A

Hypotenuse.

40
Q

How do you know which side is the hypotenuse (longest side of the right angle triangle)?

A

It is always opposite the right angle.

41
Q

What does Pythagoras’ theorem state?

A

It states that for all right angled triangles, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

42
Q

What is the Pythagoras theorem formula?

A

a2 + b2 = c2

43
Q

Surface area of a cube

A

6a2

44
Q

Surface area of a cuboid

A

2(lh+ lw + hw)

45
Q

Surface area of a cone

A

Pie r(l+r)

46
Q

Surface area of a cylinder

A

2 x pie x r(r+h)

47
Q

Surface area of a sphere

A

4pier2

48
Q

Surface area of a hemisphere

A

3pier2

49
Q

Volume of a cube

A

L3

50
Q

Volume of a cuboid

A

Lwh

51
Q

Volume of a prism

A

Bh

52
Q

Volume of a cylinder

A

Pier2h

53
Q

Volume of a cone

A

1/3pier2h

54
Q

Volume of a pyramid

A

1/3 base x height

55
Q

Volume of a sphere

A

4/3pieR3

56
Q

Area of a triangle

A

Base x height / 2

57
Q

Area of a parallelogram

A

Bxh

58
Q

Area of a rhombus

A

Bxh

59
Q

Area of a rectangle

A

Lxw

60
Q

Area of a square

A

Lxl

61
Q

Area of a circle

A

Pier2

62
Q

Circumference of a circle

A

Pied

63
Q

What do you do when dividing integrals (to the power of)

A

Subtract them.

64
Q

In SOHCAHTOA, what does S stand for?

A

Sin

65
Q

In SOHCAHTOA, what does C stand for?

A

Cos

66
Q

In SOHCAHTOA, what does T stand for?

A

Tan

67
Q

In SOHCAHTOA, what does O stand for?

A

Opposite

68
Q

In SOHCAHTOA, what does A stand for?

A

Adjacent

69
Q

In SOHCAHTOA, what does H stand for?

A

Hypotenuse

70
Q

How do we find the mode?

A

Order the numbers from lowest to highest and see which number appears the most.

71
Q

How do we find the mean?

A

Add all the numbers together and then divide by the amount of numbers. Eg. 1 + 7 + 5 + 4 = 17
17/ 4 = 4.25

72
Q

What is the formula for density?

A

Density = mass / volume

73
Q

What is the SOHCAHTOA calculation for Sin?

A

Opposite / hypotenuse

74
Q

What is the SOHCAHTOA calculation for Cos?

A

Adjacent / hypotenuse

75
Q

What is the SOHCAHTOA calculation for Tan?

A

Opposite / adjacent

76
Q

What is the rule of Bidmas?

A

Brackets, Indices, Division, Multiplication, Addition, Subtraction

77
Q

What are bearings?

A

Angles measured CLOCKWISE from NORTH

78
Q

What is: 1⁄x the same as?

(Law of indices)

A

x-1

79
Q

What is: √x the same as?

(Law of indices)

A

x½

80
Q

What is x0

A

1

81
Q

What is x1

A

x

82
Q

What is an x am

A

an+m

83
Q

What is an ÷ am

A

an-m

84
Q

What is (an)m

A

an x m

85
Q

What is a dependent event?

A

Events whose probability IS affected by a previous event.

86
Q

What is an independent event?

A

Event where the probability IS NOT affected by other events.

87
Q

What does P (A n B) equal?

A

P (A and B)

88
Q

What does P (A u B) equal?

A

P (A or B)

Math (26 decks)

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