TGT Maths Study Plan
Master every topic with comprehensive chapter coverage and extensive practice questions
KeyToEnjoyLearning Maths Blog - Making Mathematics Enjoyable and Accessible
Select Your Preparation Level & Duration
Choose the plan that matches your current knowledge level and available study time:
Complete Topic-wise Syllabus
Full coverage of TGT Maths syllabus with no topic missed:
Number System
- Classification of Numbers
- Operations on Real Numbers
- Surds & Indices
- LCM / HCF
- Scientific Notation
- Decimal Representation
- Number Theory
Algebra
- Linear Equations & Inequalities
- Quadratic Equations
- Polynomials
- Arithmetic & Geometric Progressions
- Sets & Relations
- Matrices & Determinants
- Complex Numbers
Geometry
- Lines & Angles
- Triangles & Congruence
- Circles & Tangents
- Quadrilaterals
- Constructions
- Similarity & Pythagoras Theorem
- Coordinate Geometry
Mensuration
- 2D Shapes - Area & Perimeter
- 3D Shapes - Surface Area & Volume
- Conversion of Units
- Practical Applications
- Composite Figures
Trigonometry
- Trigonometric Ratios
- Identities & Equations
- Heights & Distances
- Applications
- Graphs of Trigonometric Functions
Statistics & Probability
- Data Interpretation
- Measures of Central Tendency
- Probability Basics
- Random Experiments
- Probability Distributions
Arithmetic
- Ratio & Proportion
- Percentages
- Profit & Loss
- Simple & Compound Interest
- Averages & Mixtures
- Time & Work
- Time, Speed & Distance
Calculus (NVS-specific)
- Limits & Continuity
- Derivatives
- Applications of Derivatives
- Integration Basics
Daily Study Plan
Select a plan above to view the detailed daily schedule
Comprehensive Practice Questions
Master each topic with extensive question sets covering every concept:
Number System - 100+ Practice Questions
Question 1: Classify the number 0
Classify the number 0 among natural, whole, integer, rational, irrational.
Recall the definitions:
- Natural numbers: Positive integers (1, 2, 3, ...)
- Whole numbers: Natural numbers including 0
- Integers: Whole numbers and their negatives
- Rational numbers: Numbers that can be expressed as fractions
- Irrational numbers: Numbers that cannot be expressed as fractions
0 is not a natural number as natural numbers start from 1. It is a whole number, integer, and rational number (can be expressed as 0/1). It is not irrational as it can be expressed as a fraction.
Question 2: Is 1.41421 rational or irrational?
Determine whether 1.41421 is a rational or irrational number.
Check if 1.41421 is a terminating or non-terminating decimal. Recall that terminating decimals can be expressed as fractions.
1.41421 is a terminating decimal, so it can be written as a fraction (141421/100000). Therefore, it is a rational number.
Question 3: Simplify √75
Write √75 in simplest radical form.
Find the prime factorization of 75 and identify perfect square factors.
√75 = √(25×3) = √25 × √3 = 5√3
Algebra - 120+ Practice Questions
Question 1: Solve the linear equation
Solve for x: 3(x + 2) - 2(x - 1) = 5(x - 3)
Expand both sides of the equation, collect like terms, and solve for x.
3(x + 2) - 2(x - 1) = 5(x - 3)
3x + 6 - 2x + 2 = 5x - 15
x + 8 = 5x - 15
8 + 15 = 5x - x
23 = 4x
x = 23/4 = 5.75
Question 2: Factorize the quadratic expression
Factorize: 2x² + 7x + 3
Find two numbers that multiply to (2×3)=6 and add to 7.
2x² + 7x + 3 = 2x² + 6x + x + 3 = 2x(x + 3) + 1(x + 3) = (2x + 1)(x + 3)
Geometry - 100+ Practice Questions
Question 1: Find the unknown angle
In a triangle, two angles measure 45° and 75°. Find the measure of the third angle.
Recall that the sum of angles in a triangle is 180°.
Sum of angles in a triangle = 180°
Third angle = 180° - (45° + 75°) = 180° - 120° = 60°
Daily Study Reminders
Get personalized daily study plans and practice questions based on your selected plan
We'll send daily study targets, practice questions, and progress tracking
No comments:
Post a Comment