IMAT Mathematics [Active learning tutor] Complete Chapter Test With Step by Step Solution

IMAT Mathematics [Active learning tutor]

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1.1 • Properties of Numbers

i. Natural, integers, rational/irrational

Video - 5:54 mins

ii. Prime numbers, LCM, GCD

Video - 7:24 mins

iii. Scientific notation, significant figures

Video - 45:36 mins

iv. Absolute value

Video - 4:21 mins

Complete Chapter Test With Step by Step Solution

1.2 • Fractions, Decimals, Percentages

ii. Conversions, ratios, proportions

Video - 13:27 mins

iii. Percentage change, profit/loss

iv. Unit conversions (e.g., mg → g)

Fractions, Decimals, Percentages Full Chapter Test with Step by Step Explanations

1.3 Algebraic Manipulations

i. Simplifying expressions

Video - 32:28 mins

ii. Factorization, expansion

Video - 11:27 mins

iii. Algebraic fractions

Video - 12:15 mins

Algebraic Manipulations Full Chapter Test with Step by Step Explanations

1.4 Equations and Inequalities

i. Linear, quadratic, simultaneous equations

Video - 32:05 mins

Quadratic Equation

Video - 00:00:00 mins

Simultaneous Equations

Video - 00:00:00 mins

ii. Absolute value equations/inequalities

Video - 4:21 mins

Absolute value equations/inequalities Video 2

Video - 00:00:00 mins

iii. Inequalities (number line graphing)

Video - 6:04 mins

Inequalities (number line graphing) Video

Video - 00:00:00 mins

Equations and Inequalities Full Chapter Test with Step by Step Explanation

1.5 Exponents and Surds

i. Laws of exponents

Video - 10:33 mins

ii. Simplifying surds, rationalizing denominators

Video - 10:55 mins

iii. Logarithms (basic properties)

Simplifying Radicals With Variables, Exponents, Fractions, Cube Roots - Algebra

Video - 11:52 mins

Exponents and Surds Full Chapter Test with Step by Step Explanations

1.6 Sequences & Series

i. Arithmetic/geometric sequences (simple problems)

Video - 44:04 mins

ii. geometric sequences

Video - 00:00:00 mins

Sequences & Series Full Chapter Test with step by step Explanation

2.1 : Functions

i. Domain, range, notation

Relation and Functions Basic

Video - 00:00:00 mins

Domain and Range from a Graph Video

Video - 00:00:00 mins

Finding Domain Algebraically (The Golden Rules)

Video - 00:00:00 mins

Domain and Range Functions & Graphs

Video - 00:00:00 mins

ii. Composite/inverse (basic)

Video - 5:23 mins

inverse Composite

Video - 00:00:00 mins

iii. Piecewise functions

Video - 00:00:00 mins

Functions Full Chapter Test with Step by Step Explanation

2.2 : Graphs

i. Linear, quadratic, cubic, exponential, reciprocal

Video - 33:20 mins

Linear, quadratic, cubic, exponential, reciprocal

Video - 00:00:00 mins

ii. Key features: intercepts, vertices, asymptotes

Video - 00:00:00 mins

iii. Transformations (shifts, reflections)

iii. Graphical interpretation (e.g., medical data)

Video - 00:00:00 mins

Graphs Full Chapter Test with Step by Step Explanations

3.1 : Lines and Angles AND Plain Geometry

i. Parallel lines, polygons, circle theorems (basic)

ii. Congruence, similarity

iii. Pythagoras, trigonometry (SOHCAHTOA, sine/cosine rules)

Full Chapter Test with Explanations

3.2 : Coordinate Geometry

i. Distance, midpoint, gradient

ii. Equation of a line, intersection points

iii. 3D coordinates (distance between points)

Coordinate Geometry Full Chapter Test with Step by Step Explanations

3.3 : Mensuration

i. Area/perimeter (2D), surface area/volume (3D)

ii. Density/mass/volume problems

Mensuration Full Chapter Test with Step By Step Explanations

4.1 : Trigonometric Ratios, Identities & Graphs

i. sin, cos, tan (standard angles: 0°, 30°, 45°, 60°, 90°)

ii. Solving right-angled triangles

iii. sin²θ + cos²θ = 1, tanθ = sinθ/cosθ

iv. sin/cos/tan graphs (period, amplitude)

Full Chapter test with Step by Step Explanations

5.1: Differentiation AND Integration

i. Derivatives of polynomials

ii. Tangents/normals

iii. Area under curves (linear/quadratic)

Differentiation AND Integration Test with Step by Step Explanations

6.1: Statistics

i. Mean, median, mode, range

ii. Standard deviation (conceptual)

iii. Data interpretation (tables, graphs)

Statistics Full Chapter Test with Step by Step Explanations

6.2: Probability

i. Basic rules (addition, multiplication)

ii. Conditional probability (added)

iii. Venn diagrams, probability trees

iii. Combinatorics (nCr, nPr) (rare)

Probability Full Chapter Test with Step by Step Explanations

7.1: Logical Reasoning

i. Deduction, number sequences

ii. Truth tables

Logical Reasoning Full Chapter Test with Explanations

7.2: Word Problems

i. Medical contexts (dosages, concentrations)

Word Problems Full Chapter Test with Step by Step Explanations

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IMAT Math Preparation - Properties of Numbers

IMAT Math Preparation

Topic: Properties of Numbers

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