TMSCA - General Math for Middle Schoolers

11^2

121

12^2

144

13^2

169

14^2

196

15^2

225

16^2

256

17^2

289

18^2

324

19^2

361

20^2

400

21^2

441

22^2

484

23^2

529

24^2

576

25^2

625

26^2

676

27^2

729

29^2

841

30^2

900

31^2

961

32^2

1024

both: 1/4 3/4

0.25, 25%, 0.75, 75%

both: 1/5 2/5 3/5 4/5

0.2, 20%, 0.4, 40%, 0.6, 60%, 0.8, 80%

both: 1/6 5/6

0.16..., 16 2/3%, 0.83..., 83 2/3%

both: 1/7

0.142857..., 14 2/7%

both: 1/8, 3/8, 5/8, 7/8

0.125, 12.5%, 0.375, 37.5%, 0.625, 62.5%, 0.875, 87.5%

both: 1/9

0.11..., 11 1/9%

both: 1/10

0.1, 10%

√2 to 3 places

1.414

√3 to 3 places

1.732

0! and n^0

1

1! 2! 3!

1,2,6

4!

24

5!

120

all roman #s

I,V,X,L,C,D,M

1 lb= oz, 1 ton= lbs, 1 metric ton = lbs

1,620,002,204

1 pt= cups, 1 qt = pts, 1 gal= qts

2,2,4

Acronym for milli- so on

MCDMDHK

1 gal= oz, 1 cup= oz

128,8

1 gal= in^3,

231

1mi= ft, 1mi= yd

5280, 1760

_ft/sec=_mi/hr

22, 15

F to C/ C to F

C=5/9(F-32), F=9/5C+32

1 mi^2= acres

640

names of shapes 5-10 sides

pentagon, hexagon, septagon, octagon, nonagon, decagon

11, 12 20 sided

Undecagon (Hendecagon), Dodecagon, Icosagon

tetrahedron, hexahedron, dodecahedron, icosahedron

4, 4, 6, 6, 8, 12, 8, 6, 12, 12, 20, 30, 20, 12, 30

π≈, π^2≈

3.1 or 3, 10 or 9.6

1π radian=

180

prime, 111=, 143= 1001=, 10101=

337, 1113, 71113, 3713*37

sum of consecutives

n(n+1)/2

sum of consective even

n/2*n+2/2

28^2

784

33^2

1089

34^2

1156

35^2

1225

2^3

8

3^3

27

4^3

64

5^3

125

6^3

216

both: 1/2

0.5, 50%

both: 1/3 2/3

0.333..., 33 1/3%

sum of consecutive odd

(n+1/2)^2

triangular, pentagonal, hexagonal formulas

n(n+1)/2, n(3n-1)/2, n*(4n-2)/2

# of elements, # subsets

# of things, 2^n

# of proper subsets, improper subsets, even/odd subsets

2^n -1, 1, 2^n-1

U means ⋂ means, complement means

union, intersection, opposite

GCF and LCM,

never larger than a-b, LCM= a*b/gcf

LCM*GCF=

a*b

a^2-b^2=

(a+b)(a-b)

Area of tri, and trap, and average of bases

A=bh/2, A=(b1+b2)h/2, b1+b2/2

Area and circumference of circle

A=πr^2, C=2πr

Area of equilateral triangle side/height given

(s^2√3)/4, (h^2√3)/3

area of square and rhombus with diagonals

d1^2/2, d1*d2/2

additive inverse, and multiplicative inverse of a

-a, 1/a

Complementary angles, supplementary

90, 180

-2^2, is not_, it is _

4, -4

Palindrome example (with 123)

12321

n/40 in decimal

divide by 4 and move once to left

all types of measures

mean, median, mode, range, mid-range

7^3

343

8^3

512

9^3

729

10^3

1000

11^3

1331

12^3

1728

13^3

2197

14^3

2744

15^3

3375

1/11 (4 digits)

0.0909...

1/12, 5/12, 7/12, 11/12

0.0833.., 0.4166.., 0.5833.., 0.9166..

1/14, 1/15, 1/16

0.07142857.., 0.06.., 0.0625

√5 (rounded to 3)

2.236

√6

2.449

6!, 7!, 8!

720, 5040, 40320

1 liter = _cm^3, 1 metric ton= _kg

1000, 1000

1 mi= _rods, 1 rod= _ft, 1 fathom = _ ft

320, 16.5, 6

1 gross = , 1 baker's dozen

144, 13

1 bushel = pecks, 1 bushel = gal

4, 8