Formula Bank

Key Formulas With Examples

Revise math, physics and chemistry formulas with use cases and exam examples.

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Mathematics • Percentages

Percentage Change

Percentage change = (change / original value) × 100

Use when a value increases or decreases compared with its original value.

Example: If 80 becomes 100, change = 20, so percentage change = 20/80 × 100 = 25%.

Connected tests: FAST NUCES, NUST NET, NAT, GAT General, SAT

Mathematics • Ratios and Proportions

Ratio Sharing

One part = total / sum of ratio parts

Use when a total quantity is divided according to a ratio.

Example: For 2:3 and total 50, one part = 50/5 = 10; shares are 20 and 30.

Connected tests: FAST NUCES, NUST NET, NAT, GAT General

Mathematics • Averages

Average

Average = sum of values / number of values

Use for mean score, combined values and data interpretation.

Example: Average of 10, 20 and 30 is 60/3 = 20.

Connected tests: NAT, GAT General, GRE, GMAT

Physics • Kinematics

Speed

Speed = distance / time

Use when distance and time are given and motion is uniform.

Example: 60 meters in 5 seconds gives speed = 60/5 = 12 m/s.

Connected tests: MDCAT, ECAT, NUST NET, GIKI

Physics • Electricity

Ohm's Law

V = IR

Use for voltage, current and resistance problems in simple circuits.

Example: If I = 2 A and R = 5 Ω, then V = 10 V.

Connected tests: MDCAT, ECAT, NUST NET, PIEAS

Physics • Kinematics

Density

Density = mass / volume

Use for basic physical property questions.

Example: Mass 100 g and volume 20 cm³ gives density = 5 g/cm³.

Connected tests: MDCAT, ECAT, NUST NET

Chemistry • Atomic Structure

Number of Moles

Moles = mass / molar mass

Use in basic stoichiometry and chemistry numericals.

Example: 18 g water with molar mass 18 g/mol gives 1 mole.

Connected tests: MDCAT, ECAT, NUST NET, PIEAS

Mathematics • Algebra Basics

Basic Probability

Probability = favorable outcomes / total outcomes

Use for simple chance and selection problems.

Example: One head in a coin toss has probability 1/2.

Connected tests: FAST NUCES, NAT, GAT General, GRE, GMAT