TJHSST Mathematics Recourse

TJHSST Mathematics Recourse

1. Geometry

   • Area Formulaes
     • Square:  A= s squared Parallelogram: A=bh Rhombus or Kite: A=ab/2  (a and b are the diagonals) Trapezoid: A=h(b1 + b2)/2 Circle: A=π(r squared) Triangle: A=bh/2
   • Volume Formulaes
     • Prism or Cylinder: V=π(r squared)h Pyramid or Cone: V=Base(h)/3 Sphere: V=4/3π(r cubed)
   • Surface Area:
     • Cylinder:  A=2πrh+2πr2 Cone: A=πr(r+h2+r2) Sphere: V=4π(r squared)
   • EXTREMELY IMPORTANT (faces, edges, vertices)
     • f + v = e + 2
   • Heron's Formula

2. Algebra

3. Arithmetic

   • Squares, Cubes, Powers of 2
     • Squares:
       • 11x11=121 12x12=144 13x13=169 14x14=196 15x15=225 16x16=256 17x17=289 18x18=324 19x19=361 20x20=400 21x21=441
     • Cubes
       • 1x1x1=1 2x2x2=8 3x3x3=27 4x4x4=64 5x5x5=125 6x6x6=216 7x7x7=343 8x8x8=512 9x9x9=729 10x10x10=1000 11x11x11=1331
     • Powers of 2
       • 2x2=4 2x2x2=8 2x2x2x2=16 2x2x2x2x2=32 2x2x2x2x2x2=64 2x2x2x2x2x2x2=128 2x2x2x2x2x2x2x2=256 2x2x2x2x2x2x2x2x2=512 2x2x2x2x2x2x2x2x2x2=1024
     • Squaring a Number Ending in 5
       • The number will always end in 25. Find the leading digits by multiplying the first digit(S) by the next integer. 25x25=(2x3)25=625 35x35=(3x4)25=1225 45x45=(4x5)25=2025 55x55=(5x6)25=3025
   • Prime Numbers
     • Prime number only have 2 factors (1 and themselves). The first few prime numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79, 83,89,97,101,103,107,109,113, 127,
   • Fractions
     • Commonly used fractions
       • 1/8=0.125 1/4=0.25 1/3=0.333... 3/8=0.375 1/2=0.5 5/8=0.625 2/3=0.666... 7/8=0.875 3/4=0.75
     • Sixths and Twelfths
       • 1/12=0.08333... 1/6=0.1666... 5/12=0.41666... 7/12=0.58333... 5/6=0.8333... 11/12=0.91666...
     • 7ths
       • 1/7=0.142857 2/7=0.285714 3/7=0.428571 4/7=0.571428 5/7=0.714285 6/7=0.857142
     • Ninths,99ths,etc
       • 1/9=0.111... 2/9=0.222... 13/99=0.131313... 7/99=0.070707... 101/999=0.101101101... 20/999=0.020020020...

4. Basic Formulaes