JEE Basics

chemistry

Chemistry

First 30 Elements + Key Metals

▶

#	Symbol	Name	Mass
1	H	Hydrogen	1
2	He	Helium	4
3	Li	Lithium	7
4	Be	Beryllium	9
5	B	Boron	11
6	C	Carbon	12
7	N	Nitrogen	14
8	O	Oxygen	16
9	F	Fluorine	19
10	Ne	Neon	20
11	Na	Sodium	23
12	Mg	Magnesium	24
13	Al	Aluminium	27
14	Si	Silicon	28
15	P	Phosphorus	31
16	S	Sulphur	32
17	Cl	Chlorine	35.5
18	Ar	Argon	40
19	K	Potassium	39
20	Ca	Calcium	40
26	Fe	Iron	56
29	Cu	Copper	63.5
30	Zn	Zinc	65
35	Br	Bromine	80
47	Ag	Silver	108
53	I	Iodine	127
79	Au	Gold	197
80	Hg	Mercury	200
82	Pb	Lead	207

Polyatomic Ions & Valencies

▶

Common Anions

Ion	Formula	Charge
Sulphate	SO₄	−2
Sulphite	SO₃	−2
Nitrate	NO₃	−1
Nitrite	NO₂	−1
Phosphate	PO₄	−3
Carbonate	CO₃	−2
Hydroxide	OH	−1
Permanganate	MnO₄	−1
Dichromate	Cr₂O₇	−2
Chromate	CrO₄	−2
Oxalate	C₂O₄	−2
Acetate	CH₃COO	−1
Ammonium	NH₄	+1

Oxidation States

Element	States
H	+1 (−1 hydrides)
O	−2 (−1 peroxides)
F	always −1
Na, K	+1
Mg, Ca	+2
Al	+3
Fe	+2, +3
Cu	+1, +2
Cr	+3, +6
Mn	+2, +4, +7
S	−2, 0, +4, +6
N	−3 to +5
Cl	−1,+1,+3,+5,+7

Variable Valency

Fe²⁺ ferrous / Fe³⁺ ferric · Cu⁺ cuprous / Cu²⁺ cupric · Hg₂²⁺ / Hg²⁺ · Sn²⁺,Sn⁴⁺ · Pb²⁺,Pb⁴⁺

Mole Concept — Key Formulas

▶

🔥 Must Know

1 mole = 6.022 × 10²³ particles (Avogadro's number)

Moles = Mass / Molar Mass | Gas at STP = Volume / 22.4 L

% composition = (mass of element / molar mass) × 100

EF→MF: n = Molar Mass / EF Mass | Molarity = moles/litre | Molality = moles/kg solvent

H₂O

18 g/mol

CO₂

44 g/mol

NaCl

58.5 g/mol

CaCO₃

100 g/mol

H₂SO₄

98 g/mol

HCl

36.5 g/mol

NH₃

17 g/mol

Na₂CO₃

106 g/mol

Electronic Config, Bonding & Shapes

▶

Aufbau: 1s→2s→2p→3s→3p→4s→3d→4p→5s→4d→5p

Pauli: max 2e⁻/orbital, opposite spin · Hund: fill one each before pairing

Exceptions: Cu [Ar]3d¹⁰4s¹ · Cr [Ar]3d⁵4s¹

Key Configs

Element	Z	Config
Na	11	[Ne] 3s¹
Cl	17	[Ne] 3s² 3p⁵
Fe	26	[Ar] 3d⁶ 4s²
Cu	29	[Ar] 3d¹⁰ 4s¹ ★
Cr	24	[Ar] 3d⁵ 4s¹ ★

Molecular Shapes

Molecule	Shape	Angle
CH₄	Tetrahedral	109.5°
NH₃	Pyramidal	107°
H₂O	Bent	104.5°
CO₂	Linear	180°
BF₃	Trig. Planar	120°
SF₆	Octahedral	90°

Acids, Bases, pH & Key Reactions

▶

−log[H⁺]

pH + pOH

= 14 (25°C)

[H⁺][OH⁻]=10⁻¹⁴

Neutral/Acid/Base

7 / <7 / >7

Strong Acids

HCl, HBr, HI, HNO₃, H₂SO₄, HClO₄

Strong Bases

NaOH, KOH, Ca(OH)₂, Ba(OH)₂

Key Reactions

HCl + NaOH → NaCl + H₂O

CaCO₃ + 2HCl → CaCl₂ + H₂O + CO₂↑

Zn + 2HCl → ZnCl₂ + H₂↑ | Na₂CO₃ + H₂SO₄ → Na₂SO₄ + H₂O + CO₂↑

Thermodynamics Basics

▶

First Law

ΔU = q + w

Enthalpy

ΔH = ΔU + ΔngRT

Gibbs Energy

ΔG = ΔH − TΔS

Spontaneous

ΔG < 0

Exothermic

ΔH < 0

Endothermic

ΔH > 0

At equilibrium

ΔG = 0

Entropy disorder

ΔS > 0 = more disorder

Organic Chemistry Basics

▶

Name	Formula	Example
Alkane	CₙH₂ₙ₊₂	CH₄, C₂H₆
Alkene	CₙH₂ₙ	C₂H₄ ethene
Alkyne	CₙH₂ₙ₋₂	C₂H₂ ethyne
Alcohol	CₙH₂ₙ₊₁OH	CH₃OH methanol
Carboxylic acid	CₙH₂ₙ₊₁COOH	CH₃COOH acetic acid

Alcohol

−OH

Aldehyde

−CHO

Ketone

−CO−

Carboxylic

−COOH

Amine

−NH₂

Ester

−COO−

Halide

−X (F,Cl,Br,I)

Nitro

−NO₂

Saponification: fat + NaOH → soap + glycerol | Fermentation: C₆H₁₂O₆ → 2C₂H₅OH + 2CO₂

Physical Constants (Chemistry)

▶

R (gas)

8.314 J/mol·K

R (atm·L)

0.0821 L·atm/mol·K

Avogadro Nₐ

6.022×10²³

Faraday F

96500 C/mol

Planck h

6.626×10⁻³⁴ J·s

Speed of light c

3×10⁸ m/s

STP

0°C (273K), 1 atm

Rydberg R

1.097×10⁷ m⁻¹

#	Sym	Name	Mass	#	Sym	Name	Mass
1	H	Hydrogen	1	11	Na	Sodium	23
2	He	Helium	4	12	Mg	Magnesium	24
3	Li	Lithium	7	13	Al	Aluminium	27
4	Be	Beryllium	9	14	Si	Silicon	28
5	B	Boron	11	15	P	Phosphorus	31
6	C	Carbon	12	16	S	Sulphur	32
7	N	Nitrogen	14	17	Cl	Chlorine	35.5
8	O	Oxygen	16	18	Ar	Argon	40
9	F	Fluorine	19	19	K	Potassium	39
10	Ne	Neon	20	20	Ca	Calcium	40
26	Fe	Iron	56	47	Ag	Silver	108
29	Cu	Copper	63.5	79	Au	Gold	197
30	Zn	Zinc	65	80	Hg	Mercury	200
35	Br	Bromine	80	82	Pb	Lead	207

physics

Physics

Physical Constants

▶

🔥 Must Memorise

Constant	Symbol	Value
Gravitational acc.	g	9.8 ≈ 10 m/s²
Speed of light	c	3×10⁸ m/s
Planck's constant	h	6.626×10⁻³⁴ J·s
Electron charge	e	1.6×10⁻¹⁹ C
Electron mass	mₑ	9.1×10⁻³¹ kg
Proton mass	mₚ	1.67×10⁻²⁷ kg
Boltzmann k	k	1.38×10⁻²³ J/K
Gas constant R	R	8.314 J/mol·K
Avogadro Nₐ	Nₐ	6.022×10²³ /mol
ε₀ (permittivity)	ε₀	8.85×10⁻¹² C²/N·m²
1/4πε₀	k	9×10⁹ N·m²/C²
μ₀ (permeability)	μ₀	4π×10⁻⁷ T·m/A
G (gravitation)	G	6.67×10⁻¹¹ N·m²/kg²
σ (Stefan-Boltzmann)	σ	5.67×10⁻⁸ W/m²K⁴
1 eV	—	1.6×10⁻¹⁹ J
1 amu	—	1.66×10⁻²⁷ kg
1 Å (Angstrom)	—	10⁻¹⁰ m

Motion — Equations & Projectile

▶

v = u + at

velocity at t

s = ut + ½at²

displacement

v² = u² + 2as

no time

Sₙ (nth second)

u + a(2n−1)/2

Range R

u²sin2θ / g

Max height H

u²sin²θ / 2g

Time of flight

2u sinθ / g

Max range (θ=45°)

u²/g

Centripetal a

v²/r = ω²r

v = rω

linear↔angular

ω = 2π/T = 2πf

angular velocity

Force, Newton's Laws & Friction

▶

1st Law: No force → constant velocity (inertia)

2nd Law: F = ma = dp/dt

3rd Law: action = equal & opposite reaction (different bodies)

Momentum p = mv | Impulse J = FΔt = Δp | Conservation: m₁u₁+m₂u₂ = m₁v₁+m₂v₂

Static friction f ≤ μₛN | Kinetic f = μₖN | μ_s > μ_k > μ_rolling

Work, Energy, Power & Collisions

▶

Work W

Fs cosθ

½mv²

PE (gravity)

mgh

PE (spring)

½kx²

Work-Energy thm

W_net = ΔKE

Power P

W/t = Fv cosθ

Efficiency

output/input×100%

1 kWh

3.6×10⁶ J

Elastic collision

KE conserved, e=1

Inelastic

stick together, max KE lost

Gravitation & Satellites

▶

Newton's law

F=GM₁M₂/r²

g at surface

GM/R²

g at height h

g(1−2h/R)

g at depth d

g(1−d/R)

Escape velocity

√(2gR)=11.2 km/s

Orbital velocity

√(gR)≈7.9 km/s

Kepler's 3rd

T²∝r³

Kepler's 2nd

Equal areas, equal time

Electricity & Circuits

▶

Ohm's Law

V = IR

Power

VI = I²R = V²/R

Series R

R₁+R₂+R₃

Parallel R

1/R=1/R₁+1/R₂

Charge Q

Q = It

KCL

ΣI at junction=0

KVL

ΣV in loop=0

Coulomb's Law

kq₁q₂/r²

Electric field E

F/q = kq/r²

Capacitance C

Q/V

Energy in cap.

½CV²

Optics & Waves

▶

Mirror formula

1/f=1/v+1/u

Lens formula

1/f=1/v−1/u

Magnification (mirror)

m=−v/u

Magnification (lens)

m=v/u

Power of lens

P=1/f (Dioptre)

Snell's Law

n₁sinθ₁=n₂sinθ₂

Refractive index

n=c/v

Wave speed

v=fλ

Sound (0°C)

332 m/s

SHM: a=−ω²x

v_max=ωA

Pendulum T

2π√(L/g)

Spring-mass T

2π√(m/k)

Heat, Gas Laws & Dimensions

▶

Ideal Gas

PV=nRT

Boyle's

P₁V₁=P₂V₂

Charles's

V₁/T₁=V₂/T₂

Q=mcΔT

specific heat

Latent heat

Q=mL

Linear expansion

ΔL=αLΔT

K to °C

K=°C+273

rms speed

√(3RT/M)

Dimensions

Quantity	Dimension	Unit
Force	[MLT⁻²]	Newton
Energy	[ML²T⁻²]	Joule
Power	[ML²T⁻³]	Watt
Pressure	[ML⁻¹T⁻²]	Pascal
Momentum	[MLT⁻¹]	kg·m/s
Planck h	[ML²T⁻¹]	J·s
G	[M⁻¹L³T⁻²]	N·m²/kg²

Unit Conversions & Greek Letters

▶

Conversions

1 nm = 10⁻⁹ m | 1 Å = 10⁻¹⁰ m

1 eV = 1.6×10⁻¹⁹ J | 1 amu = 1.66×10⁻²⁷ kg

1 atm = 101325 Pa ≈ 10⁵ Pa | 1 kWh = 3.6×10⁶ J

Common Greek Letters

Letter	Name	Used for
λ	lambda	wavelength
ω	omega	angular velocity
μ	mu	friction coeff / micro
α	alpha	angular acceleration
ρ	rho	density
σ	sigma	Stefan / surface charge
ε	epsilon	permittivity
Φ	phi	flux

Constant	Symbol	Value
g	g	9.8≈10 m/s²
Speed of light	c	3×10⁸ m/s
Planck h	h	6.626×10⁻³⁴ J·s
Electron charge	e	1.6×10⁻¹⁹ C
Electron mass	mₑ	9.1×10⁻³¹ kg
G	G	6.67×10⁻¹¹ N·m²/kg²
ε₀	ε₀	8.85×10⁻¹² C²/N·m²
1/4πε₀	k	9×10⁹ N·m²/C²
1 eV	—	1.6×10⁻¹⁹ J

mathematics

Mathematics

Tables 11–20

▶

×	11	12	13	14	15
2	22	24	26	28	30
3	33	36	39	42	45
4	44	48	52	56	60
5	55	60	65	70	75
6	66	72	78	84	90
7	77	84	91	98	105
8	88	96	104	112	120
9	99	108	117	126	135
10	110	120	130	140	150

×	16	17	18	19	20
2	32	34	36	38	40
3	48	51	54	57	60
4	64	68	72	76	80
5	80	85	90	95	100
6	96	102	108	114	120
7	112	119	126	133	140
8	128	136	144	152	160
9	144	153	162	171	180
10	160	170	180	190	200

Squares (1–30) & Cubes (1–15)

▶

n	n²	n	n²
1	1	16	256
2	4	17	289
3	9	18	324
4	16	19	361
5	25	20	400
6	36	21	441
7	49	22	484
8	64	23	529
9	81	24	576
10	100	25	625
11	121	26	676
12	144	27	729
13	169	28	784
14	196	29	841
15	225	30	900

n	n³
1	1
2	8
3	27
4	64
5	125
6	216
7	343
8	512
9	729
10	1000
11	1331
12	1728
13	2197
14	2744
15	3375

Trigonometry — Values & Identities

▶

🔥 Must Know

Angle	sin	cos	tan	cosec	sec	cot
0°	0	1	0	∞	1	∞
30°	1/2	√3/2	1/√3	2	2/√3	√3
45°	1/√2	1/√2	1	√2	√2	1
60°	√3/2	1/2	√3	2/√3	2	1/√3
90°	1	0	∞	1	∞	0
180°	0	−1	0	∞	−1	∞

sin²θ+cos²θ=1 | 1+tan²θ=sec²θ | 1+cot²θ=cosec²θ

sin(A+B)=sinAcosB+cosAsinB | cos(A+B)=cosAcosB−sinAsinB

sin2A=2sinAcosA | cos2A=cos²A−sin²A=1−2sin²A | tan2A=2tanA/(1−tan²A)

sin3A=3sinA−4sin³A | cos3A=4cos³A−3cosA

ASTC: Q1 All+ · Q2 Sin+ · Q3 Tan+ · Q4 Cos+ → "All Students Take Chemistry"

Trick: sin 0°,30°,45°,60°,90° = √0/2, √1/2, √2/2, √3/2, √4/2 | cos is reverse

Logarithms

▶

log 2 = 0.3010 | log 3 = 0.4771 | log 5 = 0.6990 | log 7 = 0.8451

log 1=0 | log 10=1 | ln 2≈0.693 | ln 10≈2.303 | e≈2.718

log(mn)=logm+logn | log(m/n)=logm−logn | log(mⁿ)=n·logm

Change of base: log_a(b)=log b/log a | log_a(a)=1 | log_a(1)=0

Algebra — Identities & Quadratic

▶

(a+b)²

a²+2ab+b²

(a−b)²

a²−2ab+b²

(a+b)(a−b)

a²−b²

(a+b)³

a³+3a²b+3ab²+b³

(a−b)³

a³−3a²b+3ab²−b³

a³+b³

(a+b)(a²−ab+b²)

a³−b³

(a−b)(a²+ab+b²)

(a+b+c)²

a²+b²+c²+2ab+2bc+2ca

Quadratic: x = [−b±√(b²−4ac)] / 2a | α+β=−b/a | αβ=c/a

D>0: 2 real roots · D=0: equal roots · D<0: complex roots

AP, GP & Series

▶

AP nth term

a+(n−1)d

AP Sum Sₙ

n/2[2a+(n−1)d]

AP Sum (a to l)

n/2(a+l)

GP nth term

arⁿ⁻¹

GP Sum Sₙ

a(rⁿ−1)/(r−1)

GP Sum ∞

a/(1−r), |r|<1

Σn

n(n+1)/2

Σn²

n(n+1)(2n+1)/6

Σn³

[n(n+1)/2]²

(a+b)/2

√(ab)

2ab/(a+b)

AM≥GM≥HM

positive numbers

Calculus — Limits, Derivatives & Integrals

▶

Standard Limits

lim sinx/x=1 (x→0) | lim tanx/x=1 (x→0) | lim(1+1/n)ⁿ=e (n→∞)

lim (xⁿ−aⁿ)/(x−a) = naⁿ⁻¹ | lim (eˣ−1)/x = 1 | lim (aˣ−1)/x = ln a

Derivatives

d(xⁿ)

nxⁿ⁻¹

d(sin x)

cos x

d(cos x)

−sin x

d(tan x)

sec²x

d(cot x)

−cosec²x

d(sec x)

sec x tan x

d(cosec x)

−cosec x cot x

d(eˣ)

eˣ

d(aˣ)

aˣ ln a

d(ln x)

1/x

d(sin⁻¹x)

1/√(1−x²)

d(cos⁻¹x)

−1/√(1−x²)

d(tan⁻¹x)

1/(1+x²)

Product rule

(uv)'=u'v+uv'

Quotient rule

(u/v)'=(u'v−uv')/v²

Chain rule

dy/dx=(dy/du)(du/dx)

Standard Integrals

∫xⁿ dx

xⁿ⁺¹/(n+1)+C

∫1/x dx

ln|x|+C

∫eˣ dx

eˣ+C

∫aˣ dx

aˣ/ln a+C

∫sin x dx

−cos x+C

∫cos x dx

sin x+C

∫tan x dx

ln|sec x|+C

∫cot x dx

ln|sin x|+C

∫sec x dx

ln|sec x+tan x|+C

∫cosec x dx

ln|cosec x−cot x|+C

∫sec²x dx

tan x+C

∫cosec²x dx

−cot x+C

∫sec x tan x dx

sec x+C

∫1/(1+x²) dx

tan⁻¹x+C

∫1/√(1−x²) dx

sin⁻¹x+C

∫1/√(x²+a²) dx

ln|x+√(x²+a²)|+C

∫1/(x²−a²) dx

½a·ln|(x−a)/(x+a)|+C

∫√(a²−x²) dx

½x√(a²−x²)+½a²sin⁻¹(x/a)+C

Integration by Parts (IBP)

∫u·dv = uv − ∫v·du

ILATE rule — choose u in this order: Inverse trig → Logarithm → Algebraic → Trig → Exponential

Special: ∫eˣ[f(x)+f'(x)]dx = eˣ·f(x)+C (very common in JEE)

Definite Integral Properties

P1: ∫ₐᵇ f(x)dx = ∫ₐᵇ f(t)dt (dummy variable)

P2: ∫ₐᵇ f(x)dx = −∫ᵦₐ f(x)dx (flip limits → flip sign)

P3: ∫ₐᵇ f(x)dx = ∫ₐᶜ f(x)dx + ∫ᶜᵦ f(x)dx (split at any c)

P4 King ♔: ∫ₐᵇ f(x)dx = ∫ₐᵇ f(a+b−x)dx

P5 Queen ♛: ∫₀²ᵃ f(x)dx = 2∫₀ᵃ f(x)dx if f(2a−x)=f(x) | = 0 if f(2a−x)=−f(x)

P6 Jack ♠: ∫₋ₐᵃ f(x)dx = 2∫₀ᵃ f(x)dx if even | = 0 if odd

P7: ∫₀ⁿᵀ f(x)dx = n·∫₀ᵀ f(x)dx if f is periodic with period T

Ace ♠: ∫₀^(π/2) f(sinx)dx = ∫₀^(π/2) f(cosx)dx | ∫₀^(π/2) sinⁿx dx = ∫₀^(π/2) cosⁿx dx

Standard Substitutions

√(a²−x²)

x = a sinθ

√(a²+x²)

x = a tanθ

√(x²−a²)

x = a secθ

√((a+x)/(a−x))

x = a cos2θ

√(ax−x²)

x = a sin²θ

∫f'(x)/f(x)dx

ln|f(x)|+C

∫[f(x)]ⁿf'(x)dx

[f(x)]ⁿ⁺¹/(n+1)+C

Algebra & Quadratic

Identities

(a+b)²=a²+2ab+b² · (a−b)²=a²−2ab+b²

(a+b)(a−b)=a²−b² · a³+b³=(a+b)(a²−ab+b²)

Quadratic: x=[−b±√(b²−4ac)]/2a · α+β=−b/a · αβ=c/a

Logs

log2=0.3010 · log3=0.4771 · log5=0.699 · log7=0.8451

log(mn)=logm+logn · log(mⁿ)=n·logm

ln2≈0.693 · ln10≈2.303 · e≈2.718

Trigonometry

Values & Identities

Angle	sin	cos	tan
0°	0	1	0
30°	1/2	√3/2	1/√3
45°	1/√2	1/√2	1
60°	√3/2	1/2	√3
90°	1	0	∞

sin²θ+cos²θ=1 · 1+tan²θ=sec²θ · sin2A=2sinAcosA · cos2A=1−2sin²A

ASTC: Q1 All+ · Q2 Sin+ · Q3 Tan+ · Q4 Cos+ → "All Students Take Chemistry"

Series & Calculus

AP / GP

AP: nth=a+(n−1)d · Sₙ=n/2[2a+(n−1)d]

GP: nth=arⁿ⁻¹ · Sₙ=a(rⁿ−1)/(r−1) · S∞=a/(1−r)

Σn=n(n+1)/2 · Σn²=n(n+1)(2n+1)/6 · Σn³=[n(n+1)/2]²

Calculus

d(xⁿ)=nxⁿ⁻¹ · d(sinx)=cosx · d(cosx)=−sinx · d(tanx)=sec²x · d(eˣ)=eˣ · d(lnx)=1/x

d(sin⁻¹x)=1/√(1−x²) · d(tan⁻¹x)=1/(1+x²) · d(secx)=secx·tanx

∫xⁿ=xⁿ⁺¹/(n+1) · ∫sinx=−cosx · ∫cosx=sinx · ∫eˣ=eˣ · ∫tanx=ln|secx|

IBP: ∫u·dv = uv−∫v·du | ILATE: Inverse→Log→Algebra→Trig→Exp

Special IBP: ∫eˣ[f(x)+f'(x)]dx = eˣ·f(x)+C

King ♔: ∫ₐᵇf(x)dx = ∫ₐᵇf(a+b−x)dx

Queen ♛: ∫₀²ᵃ = 2∫₀ᵃ if f(2a−x)=f(x) · = 0 if f(2a−x)=−f(x)

Jack ♠: ∫₋ₐᵃ = 2∫₀ᵃ if even · = 0 if odd

Ace ♠: ∫₀^(π/2) f(sinx)dx = ∫₀^(π/2) f(cosx)dx

Subs: √(a²−x²)→x=asinθ · √(a²+x²)→x=atanθ · √(x²−a²)→x=asecθ

Chemistry

Atomic Number · Symbol · Name · Mass

Polyatomic Ions

Oxidation States

Must Know

Molecular Shapes

Thermodynamics

Organic Groups

Physics

Must Know Constants

Motion

Energy & Gravity

Electricity

Optics & Waves

Mathematics

Identities

Logs

Values & Identities

AP / GP

Calculus

✓ Done!

×	11	12	13	14	15
2	22	24	26	28	30
3	33	36	39	42	45
4	44	48	52	56	60
5	55	60	65	70	75
6	66	72	78	84	90
7	77	84	91	98	105
8	88	96	104	112	120
9	99	108	117	126	135
10	110	120	130	140	150

×	16	17	18	19	20
2	32	34	36	38	40
3	48	51	54	57	60
4	64	68	72	76	80
5	80	85	90	95	100
6	96	102	108	114	120
7	112	119	126	133	140
8	128	136	144	152	160
9	144	153	162	171	180
10	160	170	180	190	200

n	n²	n	n²
1	1	16	256
2	4	17	289
3	9	18	324
4	16	19	361
5	25	20	400
6	36	21	441
7	49	22	484
8	64	23	529
9	81	24	576
10	100	25	625
11	121	26	676
12	144	27	729
13	169	28	784
14	196	29	841
15	225	30	900

×	11	12	13	14	15
2	22	24	26	28	30
3	33	36	39	42	45
4	44	48	52	56	60
5	55	60	65	70	75
6	66	72	78	84	90
7	77	84	91	98	105
8	88	96	104	112	120
9	99	108	117	126	135
10	110	120	130	140	150

×	16	17	18	19	20
2	32	34	36	38	40
3	48	51	54	57	60
4	64	68	72	76	80
5	80	85	90	95	100
6	96	102	108	114	120
7	112	119	126	133	140
8	128	136	144	152	160
9	144	153	162	171	180
10	160	170	180	190	200

n	n²	n	n²
1	1	16	256
2	4	17	289
3	9	18	324
4	16	19	361
5	25	20	400
6	36	21	441
7	49	22	484
8	64	23	529
9	81	24	576
10	100	25	625
11	121	26	676
12	144	27	729
13	169	28	784
14	196	29	841
15	225	30	900

Chemistry

Atomic Number · Symbol · Name · Mass

Polyatomic Ions

Oxidation States

Must Know

Molecular Shapes

Thermodynamics

Organic Groups

Physics

Must Know Constants

Motion

Energy & Gravity

Electricity

Optics & Waves

Mathematics

Identities

Logs

Values & Identities

AP / GP

Calculus

✓ Done!

Progress

×	11	12	13	14	15
2	22	24	26	28	30
3	33	36	39	42	45
4	44	48	52	56	60
5	55	60	65	70	75
6	66	72	78	84	90
7	77	84	91	98	105
8	88	96	104	112	120
9	99	108	117	126	135
10	110	120	130	140	150

×	16	17	18	19	20
2	32	34	36	38	40
3	48	51	54	57	60
4	64	68	72	76	80
5	80	85	90	95	100
6	96	102	108	114	120
7	112	119	126	133	140
8	128	136	144	152	160
9	144	153	162	171	180
10	160	170	180	190	200

n	n²	n	n²
1	1	16	256
2	4	17	289
3	9	18	324
4	16	19	361
5	25	20	400
6	36	21	441
7	49	22	484
8	64	23	529
9	81	24	576
10	100	25	625
11	121	26	676
12	144	27	729
13	169	28	784
14	196	29	841
15	225	30	900