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UPCAT MATH FORMULAS
  • Carrillo, Maurice

  • 問題数 54 • 7/11/2024

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    問題一覧

  • 1

    Area of Square

    = s² where s is the length of each side

  • 2

    Area of Triangle

    1/2 bh

  • 3

    Area of Rectangle

    length x width

  • 4

    Area of Parallelogram

    bh

  • 5

    Area of a Trapezoid

    1/2 (A + B) x H

  • 6

    Perimeter of a Square

    4s (ADD ALL THE SIDES)

  • 7

    Perimeter of Triangle

    A + B + C

  • 8

    Perimeter of Rectangle

    (2L) + (2W)

  • 9

    Perimeter of Parallelogram

    2a + 2b

  • 10

    Perimeter of a Trapezoid

    a + b + c + d

  • 11

    Volume of Cube

    s³ (s)(s)(s)

  • 12

    Volume of a Right Circular Cone

    1/3 πr²h

  • 13

    Volume of a Right Circular Cylinder

    V = πr²h

  • 14

    Volume of an Irregular prism

    V = bh

  • 15

    Volume of a Sphere

    V = 4/3 πr³

  • 16

    Surface Area of a Cube

    6s²

  • 17

    Surface Area of a Right Circular Cylinder

    2πrh

  • 18

    Circumference of a Circle

    2πr

  • 19

    Area of a Circle

    πr²

  • 20

    Surface Area of a Sphere

    4πr²

  • 21

    Acute Angle

    BELOW / LESS THAN 90°

  • 22

    Right Angle

    EQUAL TO 90°

  • 23

    Obtuse Angle

    Larger than 90° but less than 180°

  • 24

    Complementary Angles

    a + b = 90°

  • 25

    Supplementary Angles

    a + b = 180°

  • 26

    Formula for Arithmetic Sequence

    An = A1 + (n - 1)d

  • 27

    Sum of a finite arithmetic series

    Sn = n/2 (a1 + an)

  • 28

    Formula for Geometric sequence

    An = ar^n-1

  • 29

    Sum of a finite geometric series

    Sn = A1 (1-r^n) / 1 - r

  • 30

    Sum of an infinite geometric series

    Sn = A1 / 1 - r

  • 31

    Distance Formula

    √(x2 - x1)² + (y2 - y1)²

  • 32

    Midpoint Formula

    x = x1 + x2 all over 2 y = y1 + y2 all over 2

  • 33

    Equation of a circle

    (x - h)² + (y - k)² = r²

  • 34

    The point slope form

    y - y1 = m (x - x1)

  • 35

    Slope-intercept form

    y = mx + b

  • 36

    Slope of a line

    m = y2 - y1 all over x2 - x1

  • 37

    Quadratic Formula

    x = -b ± √ b² - 4ac ALL OVER 2a

  • 38

    Mean

    Average

  • 39

    Median

    middle value in a series arranged from lowest to highest

  • 40

    Mode

    The most common value in a series

  • 41

    What is the formula of PERMUTATION? (Repetition is ALLOWED)

    - Order matters - If repetition is ALLOWED, we use the formula: P = n^r *where n = number of options r = number of positions

  • 42

    What is the formula of PERMUTATION (Repetition is NOT ALLOWED)

    the number of all permutations of n things, taken at a time, is given by: P = n! / (n - r)!

  • 43

    What is the formula for CIRCULAR PERMUTATION

    (n - r)!

  • 44

    What is the formula for COMBINATION

    C (n, r) = n! / r! (n - r)! ORDER IS NOT IMPORTANT

  • 45

    Divisibility Rule of 2

    If the number is even. (0, 2, 4, 6, 8)

  • 46

    Divisibility rule of 3

    If the SUM of the digits is divisible by 3

  • 47

    Divisibility rule of 4

    If it is even and the last two digits is divisible by 4

  • 48

    Divisibility rule of 5

    If the last digit is either 5 or 0

  • 49

    Divisibility rule of 6

    If it is even and divisible by 3

  • 50

    Divisibility rule of 8

    If it is EVEN and the last 3 digits is divisible by 8

  • 51

    Divisibility rule of 9

    If the sum of all its digits is divisible by 9

  • 52

    Converting Degrees to Radians

    x° x π/180 NASA TAAS YUNG PI NASA BABA YUNG 180

  • 53

    Converting Radians to Degrees

    x x 180/π NASA TAAS YUNG 180 NASA BABA YUNG π Tip: If no degree symbol (x°) is given, the problem is in radians.

  • 54

    Area of Rhombus

    D1 x D2 OVER 2 D1xD2/2