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Mathematics Refernce Sheet For Grade 10, Cheat Sheet of Mathematics

University of Notre Dame Australia (UNDA)Mathematics

Mathematics in given area and circles formulas, volume formulas and right triangles.

Typology: Cheat Sheet

2021/2022
On special offer
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Uploaded on 07/05/2022

gavin_99
gavin_99 🇦🇺

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CONVERSIONS
1 pound = 16 ounces
1 pound ≈
0.454 kilogram
1 kilogram ≈ 2.2 pounds
1 ton = 2000 pounds
1 inch = 2.54 centimeters
1 meter ≈ 39.37 inches
1 mile = 5280 feet
1 mile = 1760 yards
1 mile ≈ 1.609 kilometers
1 kilometer ≈ 0.62 mile
1 cup = 8 fluid ounces
1 pint = 2 cups
1 quart = 2 pint
s
1 gallon = 4 quarts
1 gallon
≈ 3.785 liters
1 liter
≈ 0.264 gallon
1 liter = 1000 cubic centimeters
AREA
(A) FORMULAS
square
. . . . . . . . . . . A = s2
rectangle
. . . . . . . . . A = lw
par
allelogram . . . . . . A = bh
circle
. . . . . . . . . . . . A = πr2
triangle
. . . . . . . . . . A = bh
1
2
tr
apezoid . . . . . . . . . A = h(b1 + b2)
1
2
Pythagorean Theorem
Trigonometric Ratios
pi . . . . . . . . . . . . . π ≈ 3.14
area . . . . . . . . . . . A = πr2
circumference . . . . C = 2πr OR C = πd
CIRCLE FORMULAS
RIGHT TRIANGLES
a2 + b2 = c2
TOTAL SURFACE AREA
(SA) FORMULAS
cube
. . . . . . . . . . . . . . . SA = 6s2
right square py
ramid . . . . SA = s2 + 2s
( = slant height)
right rectangular prism
. . SA = 2(lw) + 2(hw) + 2(lh)
VOLUME
(V) FORMULAS
V = s3
cube
. . . . . . . . . . . .
(s = length of an edge)
prism
. . . . . . . . . . . . V = Bh
cylinder
. . . . . . . . . . V = πr2h
sphere
. . . . . . . . . . . V =
cone
. . . . . . . . . . . . V =
py
ramid . . . . . . . . . . V =
πr3
4
3
πr2h
1
3
Bh
1
3
SPECIAL RIGHT TRIANGLES
sina
c
cos b
c
tan
θ
θ
θ
a
b
θ
a
b
c
45°
x
x
x2
45°
y2y
y3
60°
30°
=
=
=
Massachusetts Comprehensive Assessment System
Grade 10 Mathematics Reference Sheet
Discount

On special offer

Partial preview of the text

Download Mathematics Refernce Sheet For Grade 10 and more Cheat Sheet Mathematics in PDF only on Docsity!

CONVERSIONS

1 pound = 16 ounces 1 pound ≈ 0.454 kilogram 1 kilogram ≈ 2.2 pounds 1 ton = 2000 pounds

1 inch = 2.54 centimeters 1 meter ≈ 39.37 inches 1 mile = 5280 feet 1 mile = 1760 yards 1 mile ≈ 1.609 kilometers 1 kilometer ≈ 0.62 mile

1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 gallon ≈ 3.785 liters 1 liter ≈ 0.264 gallon 1 liter = 1000 cubic centimeters

AREA ( A ) FORMULAS

square........... A = s^2

rectangle......... A = lw

parallelogram...... A = bh

circle............ A = π r^2

triangle.......... A = 12 bh

trapezoid......... A = 12 h ( b 1 + b 2 )

Pythagorean Theorem

Trigonometric Ratios

pi............. π ≈ 3.

area........... A = π r^2

circumference.... C = 2π r OR C = π d

CIRCLE FORMULAS

RIGHT TRIANGLES

a^2 + b^2 = c^2 TOTAL SURFACE AREA ( SA ) FORMULAS

cube............... SA = 6 s^2

right square pyramid.... SA = s^2 + 2 s 

( = slant height)

right rectangular prism.. SA = 2( lw ) + 2( hw ) + 2( lh )

VOLUME ( V ) FORMULAS

cube............ V = s^3 ( s = length of an edge)

prism............ V = Bh

cylinder.......... V = π r^2 h

sphere........... V =

cone............ V =

pyramid.......... V =

(^43) π r 3

(^13) π r^2 h

(^13) Bh

SPECIAL RIGHT TRIANGLES

sin ac

cos bc tan

θ ab

a

b

c

x^ 45°

x

x 2

45°

y

2 y

y 3

Massachusetts Comprehensive Assessment System

Grade 10 Mathematics Reference Sheet