Super TET / State TET Mathematics (Ganit) and Its Pedagogy Syllabus

Mathematics (Ganit) and Its Pedagogy syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Mathematics (Ganit) and Its Pedagogy in Super TET / State TET, not a summary of it.

1. 1

   Number System and Arithmetic

   4 topics

   • Number System
     • Natural, whole, integers, rational and real numbers
     • Place value, face value and number operations
     • Divisibility rules, factors, HCF and LCM
   • Fractions, Decimals and Simplification
     • Operations on fractions and decimals
     • Simplification using BODMAS and surds
   • Ratio, Proportion and Percentage
     • Ratio and proportion problems
     • Percentage and its applications
     • Average and partnership
   • Commercial Mathematics
     • Profit, loss and discount
     • Simple and compound interest
     • Time and work; time, speed and distance
2. 2

   Algebra

   3 topics

   • Algebraic Expressions and Identities
     • Operations on polynomials
     • Standard algebraic identities and factorisation
   • Equations
     • Linear equations in one and two variables
     • Quadratic equations
   • Exponents and Indices
     • Laws of exponents
     • Problems based on indices
3. 3

   Geometry and Mensuration

   4 topics

   • Lines, Angles and Triangles
     • Types of angles and lines
     • Properties and congruence of triangles
   • Polygons and Circles
     • Quadrilaterals and their properties
     • Circle: chord, tangent and angle properties
   • Mensuration
     • Perimeter and area of 2D figures
     • Surface area and volume of 3D solids
   • Coordinate Geometry Basics
     • Cartesian plane and plotting points
     • Distance between two points
4. 4

   Data Handling and Pedagogy of Mathematics

   4 topics

   • Statistics and Data Handling
     • Collection and representation of data (bar graph, pie chart)
     • Mean, median and mode
   • Nature and Aims of Teaching Mathematics
     • Nature of mathematics and place in curriculum
     • Aims and values of teaching mathematics
   • Methods and Approaches
     • Inductive-deductive, analytic-synthetic, problem-solving methods
     • Use of teaching aids and mathematics laboratory
   • Evaluation and Remediation
     • Diagnostic testing and error analysis
     • Remedial teaching in mathematics

Mathematics (Ganit) and Its Pedagogy flashcards for Super TET / State TET

25 of 50 cards from the Mathematics (Ganit) and Its Pedagogy deck — real questions with worked answers.

1. What are natural numbers, and what is the smallest natural number?

   Natural numbers are the counting numbers 1, 2, 3, ... The smallest natural number is 1.

2. What is the difference between whole numbers and natural numbers?

   Whole numbers include 0 along with all natural numbers (0, 1, 2, 3, ...), while natural numbers start from 1.

3. How do you classify a number as prime or composite?

   A prime number has exactly two factors (1 and itself); a composite number has more than two factors. 1 is neither prime nor composite.

4. What is the only even prime number?

   2 is the only even prime number; all other even numbers are divisible by 2 and hence composite.

5. What is the divisibility rule for 3 and for 9?

   A number is divisible by 3 if the sum of its digits is divisible by 3; divisible by 9 if the digit sum is divisible by 9.

6. What is the divisibility rule for 11?

   A number is divisible by 11 if the difference between the sum of digits in odd positions and even positions is 0 or a multiple of 11.

7. What is the relationship between HCF and LCM of two numbers?

   For two numbers, HCF × LCM = product of the two numbers.

8. How do you add two fractions with different denominators?

   Find the LCM of the denominators, convert each fraction to an equivalent fraction with that common denominator, then add the numerators.

9. What is the BODMAS/BIDMAS order of operations?

   Brackets, Orders (powers/roots), Division and Multiplication (left to right), then Addition and Subtraction (left to right).

10. How do you convert a fraction to a decimal and a decimal to a percentage?

    Divide the numerator by the denominator to get a decimal; multiply a decimal by 100 to get a percentage.

11. How do you divide one fraction by another?

    Multiply the first fraction by the reciprocal of the second fraction (invert the divisor and multiply).

12. What is the difference between a proper, improper, and mixed fraction?

    Proper: numerator < denominator. Improper: numerator ≥ denominator. Mixed: a whole number combined with a proper fraction.

13. What is a ratio and how is it expressed?

    A ratio compares two quantities of the same kind by division, written as a:b or a/b, where b ≠ 0.

14. What does it mean for four quantities a, b, c, d to be in proportion?

    They are in proportion if a:b = c:d, meaning a×d = b×c (product of extremes equals product of means).

15. In the proportion a:b = c:d, which terms are the means and which are the extremes?

    a and d are the extremes; b and c are the means.

16. How do you calculate what percentage one number is of another?

    Percentage = (part / whole) × 100.

17. How do you find the original value when a percentage and the result are known?

    If a value after an x% change is V, the original = V ÷ (1 ± x/100), using + for increase and − for decrease.

18. What is the formula for simple interest?

    Simple Interest (SI) = (P × R × T) / 100, where P = principal, R = rate per annum, T = time in years.

19. What is the formula for compound interest amount compounded annually?

    A = P(1 + R/100)^n, where A = amount, P = principal, R = rate per annum, n = number of years. CI = A − P.

20. How do you calculate profit/loss percentage?

    Profit% = (Profit / Cost Price) × 100; Loss% = (Loss / Cost Price) × 100. Both are calculated on the cost price.

21. What is the formula relating Selling Price, Marked Price, and Discount?

    Selling Price = Marked Price − Discount; Discount% = (Discount / Marked Price) × 100.

22. What is the difference between a variable, a constant, and a coefficient in an algebraic expression?

    A variable is a symbol for an unknown (e.g., x); a constant has a fixed value; a coefficient is the numerical factor multiplying a variable (e.g., 5 in 5x).

23. State the identity for (a + b)².

    (a + b)² = a² + 2ab + b².

24. State the identity for (a − b)².

    (a − b)² = a² − 2ab + b².

25. State the identity for (a + b)(a − b).

    (a + b)(a − b) = a² − b².

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