*Math Rules & Practice - Random facts

Our total costs are $75,000. Labor costs make up 25 percent of the total costs. How much are our labor costs?

$18,750

You bought stock for $36 a share. Today it jumped 6 percent. How MUCH IS THE STOCK WORTH?

$38.16

Our total manufacturing costs are $20 million. With that we can make 39,379 units. What is our approximate cost per unit?

$500

You raised $3.5 million for a start-up. Your commission is 2.5 percent. What's your commission in dollars?

$87,500

.88B of 140M

...

100K / 1.4M

...

15% of 500K

...

2.5M / 12M

...

250K/600K

...

25K/400K

...

40% OF 500K

...

5% OF 500K

...

5BN / 300M

...

7.5M/240M

...

75K/.8M

...

8% GROWTH FROM 400K =?

...

Q) = ___ R) = ___ S) = ___ T) = ___ U) = ___ V) = ___ W) = ___ X) = ___ Y) = ___

...

a - CAGR growth of 7% for 2 consecutive years b - CAGR growth of 12% for 2 consecutive years c - CAGR growth of 40% for 2 consecutive years

...

Multiplying by 4

...multiply by 2 then 2 again

Fractions Percent Decimal

1/5 20% 0,200 1/6 17% 0,167 1/7 14% 0,143 1/8 13% 0,125 1/9 11% 0,111 1/10 10% 0,100 1/11 9% 0,091 1/12 8% 0,083 1/13 8% 0,077 1/14 7% 0,071 1/15 7% 0,067 1/16 6% 0,063 1/17 6% 0,059 1/18 6% 0,056 1/19 5% 0,053 1/20 5% 0,050

12% of 83

10

1/10

10%

1/9

11.111...%

a - 27% b -15% c - 12% OF 44Bn

11.8 Bn 6.6 bn 5.2 bn

1/8

12.5%

90% of 150

135

23% of 60

14

1/7

14.285...%

27% of 54

15

1/6

16.666...%

30% of 60

18

The total widget market is $170 million and our sales are $30 million. What percentage of the market share do we hold?

18%

2/11

18.181...%

3/16

18.75%

13% of 19

2

1/5

20%

2/9

22.222...%

1/4

25%

3/11

27.272...%

80% of 35

28 (numbers ending in five - take 20% if that fits into percentage you are looking for (20% of 35 is 7 and 4 x 20 = 80%)

2/7

28.571...%

1800 x 160

288000

3/10

30%

25% of 124

31

5/16

31.25%

What's 7 x 45?

315

1/3

33.333...%

78% of 45

35

4/11

36.363...%

3/8

37.5%

2/5

40%

80% OF 500K

400K

5/12

41.666...%

60% of 70

42

3/7

42.857...%

7/16

43.75%

4/9

44.444...%

5/11

45.454...%

68% of 68

46

1/2

50%

65% of 80

52

6/11

54.545...%

5/9

55.555...%

9/16

56.25%

4/7

57.142...%

7/12

58.333...%

1/16

6.25%

3/5

60%

The number of current outstanding shares for UKL Inc. was 41,084,000. Institutional investors hold 25,171,000 shares. What is the approximate percentage of shares held by institutions? And what is the percentage change for each of the prices and changes below? price change h) 27 .54 i) 31 .62 j) 40 1 k) 75 3 l) 10 1.7 m) 50 2.5

60% 2% 2% 2.5% 4% 17% 5%

5/8

62.5%

7/11

63.636...%

2/3

66.666...%

11/16

68.75%

78% of 90

70

7/10

70%

5/7

71.428...%

8/11

72.727...%

3/4

75%

7/9

77.777...%

1/12

8.333...%

4/5

80%

13/16

81.25%

9/11

81.818...%

5/6

83.333...%

6/7

85.714%

7/8

87.5%

8/9

88.888...%

1/11

9.090...%

9/10

90%

10/11

90.909...%

11/12

91.666...%

15/16

93.75%

Time

Days / year 365 d Days / 3 years 1000 d Weeks / year 50 w Hours / week 168 h Seconds / hour 3600 s

* Europe's population is approximately 480 million. By 2014, the population is expected to drop to 450 million. What percentage change is that?

Drops by around 6%

Multiplying by 11

Take the original number and imagine a space between the two digits (in this example we will use 52:5_2Now add the two numbers together and put them in the middle:5_(5+2)_2That is it - you have the answer: 572. If the numbers in the middle add up to a 2 digit number, just insert the second number and add 1 to the first:9_(9+9)_9(9+1)_8_910_8_91089 - It works every time.

Rule of 72

The number of years it takes for a certain amount to double in value is equal to 72 divided by its annual rate of interest., The number of years it takes for a certain amount to double in value is equal to 72 divided by its annual rate of interest.

Country/Region GDP (Millions of $US)

World 72,689,734 1 United States 16,244,600 2 China 8,358,400 3 Japan 5,960,180 4 Germany 3,425,956 5 France 2,611,221 6 United Kingdom 2,417,600 7 Brazil 2,254,109 8 Russia 2,029,812 9 Italy 2,013,392 10 India 1,875,213

Population

World total 7 b China 1,3 b India 1,2 b Europe 500m USA 320m Brasil 200m Russia 140m Japan 130m Germany 80m Urban 50%

Banana Republic® makes 14 percent of Gap®'s estimated $16 billion in sales. What are BR's sales?

approx 2.3 B

Multiply by 9

finger trick