SSC GD Constable Elementary Mathematics Syllabus

Elementary Mathematics syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Elementary Mathematics in SSC GD Constable, not a summary of it.

1. 1

   Number System and Arithmetic Operations

   5 topics

   • Whole Numbers, Integers and Fractions
   • Decimals and their Relationships
   • LCM and HCF
   • Simplification (BODMAS)
   • Squares, Square Roots and Cubes
2. 2

   Ratio, Proportion and Variation

   5 topics

   • Ratio and Proportion
   • Percentage
   • Average
   • Partnership
   • Mixture and Alligation
3. 3

   Commercial Mathematics

   4 topics

   • Profit and Loss
   • Discount and Marked Price
   • Simple Interest
   • Compound Interest
4. 4

   Time, Work and Speed

   5 topics

   • Time and Work
   • Pipes and Cisterns
   • Time, Speed and Distance
   • Problems on Trains
   • Boats and Streams
5. 5

   Mensuration

   3 topics

   • Perimeter and Area of Plane Figures
     • Triangle, rectangle and square
     • Circle and parallelogram
   • Surface Area and Volume of Solids
     • Cube, cuboid and cylinder
     • Cone and sphere
   • Units and Conversion of Measurements
6. 6

   Algebra, Geometry and Data Interpretation

   4 topics

   • Basic Algebraic Identities and Linear Equations
   • Lines, Angles and Triangles
   • Circles and Polygons
   • Data Interpretation
     • Tables and bar graphs
     • Pie charts and line graphs

Elementary Mathematics flashcards for SSC GD Constable

22 of 50 cards from the Elementary Mathematics deck — real questions with worked answers.

1. What are whole numbers?

   The set of natural numbers together with zero: 0, 1, 2, 3, 4, ... (no negatives, no fractions).

2. What are integers?

   The set of whole numbers and their negatives: ..., -3, -2, -1, 0, 1, 2, 3, ... (no fractions or decimals).

3. What is a proper fraction versus an improper fraction?

   A proper fraction has numerator less than denominator (e.g., 3/4); an improper fraction has numerator greater than or equal to denominator (e.g., 7/4).

4. How do you add or subtract fractions with different denominators?

   Convert them to a common denominator (the LCM of the denominators), then add or subtract the numerators.

5. How do you multiply two fractions?

   Multiply the numerators together and the denominators together: (a/b) x (c/d) = ac/bd.

6. How do you divide one fraction by another?

   Multiply the first fraction by the reciprocal of the second: (a/b) divided by (c/d) = (a/b) x (d/c).

7. What is the additive identity and the multiplicative identity?

   The additive identity is 0 (n + 0 = n); the multiplicative identity is 1 (n x 1 = n).

8. What is the result of multiplying two negative integers?

   A positive number. Negative x negative = positive; negative x positive = negative.

9. How is a fraction converted to a decimal?

   Divide the numerator by the denominator (e.g., 3/4 = 3 ÷ 4 = 0.75).

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

    Write the decimal over a power of 10 based on the number of decimal places, then simplify (e.g., 0.25 = 25/100 = 1/4).

11. What is the difference between a terminating and a recurring (repeating) decimal?

    A terminating decimal ends after a finite number of digits (e.g., 0.5); a recurring decimal has one or more digits that repeat forever (e.g., 0.333...).

12. How do you multiply two decimals?

    Multiply as whole numbers ignoring the points, then place the decimal point so the total number of decimal places equals the sum of the decimal places in both numbers.

13. How do you divide a number by a decimal?

    Shift the decimal point in both divisor and dividend right by the same number of places to make the divisor a whole number, then divide normally.

14. What is the HCF (Highest Common Factor) of two numbers?

    The largest number that divides both numbers exactly without leaving a remainder.

15. What is the LCM (Least Common Multiple) of two numbers?

    The smallest number that is a multiple of both numbers (exactly divisible by each).

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

    Product of the two numbers = LCM x HCF. So LCM = (a x b) / HCF.

17. How do you find the HCF of two numbers using prime factorization?

    Express each number as a product of primes, then multiply the common prime factors taken with the lowest power.

18. How do you find the LCM using prime factorization?

    Express each number as a product of primes, then multiply every prime factor taken with the highest power appearing in any number.

19. What does BODMAS stand for?

    Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction - the order of operations for simplification.

20. In BODMAS, how are division and multiplication handled when both appear?

    They have equal priority and are performed left to right in the order they appear.

21. What is the order of solving brackets in simplification?

    Innermost first: ( ) then { } then [ ] - solve from the inside out.

22. Evaluate using BODMAS: 8 + 2 x 5.

    18. Multiplication first (2 x 5 = 10), then addition (8 + 10 = 18).

See more Elementary Mathematics flashcards →

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