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Arithmetic: Weighted Average
(w1x1 + w2x2) / total weight
Arithmetic: Simple Interest
(P×R×T)/100
Arithmetic: Percentage Change
(New − Old) / Old × 100
Arithmetic: Successive % Change
a + b + (ab/100)
Arithmetic: Profit
SP − CP
Arithmetic: Loss %
(Loss / CP) × 100
Arithmetic: Average
Sum / Number
Arithmetic: Ratio
a:b = a/b
Arithmetic: Compound Interest
A = P(1 + r/n)^(nt)
Arithmetic: Mixture
Weighted average concept
Arithmetic: Marked Price
MP = CP × (1 + markup%)
Arithmetic: Discount
SP = MP × (1 − discount%)
Number Properties: Even × Odd
Even
Number Properties: Odd × Odd
Odd
Number Properties: Prime Number
Only 2 factors
Number Properties: LCM
Least common multiple
Number Properties: HCF
Highest common factor
Number Properties: Remainder Formula
Dividend = Divisor × Q + R
Number Properties: Units Digit
Cycles repeat (usually 4)
Number Properties: Divisible by 3
Sum of digits divisible by 3
Number Properties: Divisible by 9
Sum of digits divisible by 9
Number Properties: Factor Count
(a+1)(b+1)...
Algebra: (a+b)^2
a² + 2ab + b²
Algebra: (a−b)^2
a² − 2ab + b²
Algebra: a^2 − b^2
(a+b)(a−b)
Algebra: Quadratic Formula
(-b ± √(b²−4ac))/2a
Algebra: Linear Equation
ax + b = 0
Algebra: Inequality Rule
Flip sign if × or ÷ negative
Algebra: Absolute Value
Distance from zero
Algebra: Function
f(x) = expression
Algebra: Exponent Rule
a^m × a^n = a^(m+n)
Algebra: Zero Exponent
a^0 = 1
Word Problems: Speed
Distance / Time
Word Problems: Time
Distance / Speed
Word Problems: Distance
Speed × Time
Word Problems: Work
Rate × Time
Word Problems: Pipes
Same as work
Word Problems: Relative Speed
Add/subtract speeds
Word Problems: Boats & Streams
Adjust for current
Geometry: Triangle Sum
180°
Geometry: Pythagoras
a² + b² = c²
Geometry: Rectangle Area
l × b
Geometry: Square Area
a²
Geometry: Circle Area
πr²
Geometry: Circumference
2πr
Geometry: Straight Line Angle
180°
Geometry: Polygon Sum
(n−2)×180
Probability: Probability
Favorable / Total
Probability: Complement
1 − P(event)
Probability: Independent Events
Multiply probabilities
Probability: At Least
Use complement
Permutation & Combination: Factorial
n!
Permutation & Combination: nPr
n!/(n−r)!
Permutation & Combination: nCr
n!/(r!(n−r)!)
Permutation & Combination: Permutation
Order matters
Permutation & Combination: Combination
Order doesn't matter
Data Sufficiency: Goal
Check sufficiency not solution
Data Sufficiency: Statement 1
Check alone
Data Sufficiency: Statement 2
Check alone
Data Sufficiency: Combine
Only if needed
Data Sufficiency: Yes/No Questions
Same answer required
Verbal SC: Subject-Verb Agreement
Match number
Verbal SC: Modifier Rule
Next to what it modifies
Verbal SC: Parallelism
Same grammatical structure
Verbal SC: Pronoun Reference
Clear and unambiguous
Verbal CR: Strengthen
Support argument
Verbal CR: Weaken
Attack assumption
Verbal CR: Assumption
Hidden link
Verbal CR: Inference
Must be true
Verbal RC: Main Idea
Primary purpose
Verbal RC: Tone
Author attitude
Verbal RC: Inference
Logical conclusion
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