Examius

🇮🇳 SSC GD Constable · subject

SSC GD Constable Elementary Mathematics Syllabus

The Elementary Mathematics syllabus for SSC GD Constable in full: 6 chapters, 26 topics and 6 sub-topics, every one listed below, plus 50 Elementary Mathematics flashcards with answers.

6Chapters
26Topics
6Sub-topics
50Flashcards

Elementary Mathematics syllabus: all 6 chapters

Expand any chapter to see its topics and sub-topics.

  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. Ratio, Proportion and Variation

     5 topics
    • Ratio and Proportion
    • Percentage
    • Average
    • Partnership
    • Mixture and Alligation

  3. Commercial Mathematics

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

  4. Time, Work and Speed

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

  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. 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

SSC GD Constable Elementary Mathematics flashcards — 50 questions with 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.

Show the other 30 Elementary Mathematics flashcards

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

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

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

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

  3. What is a perfect square?

    A number that is the square of an integer (e.g., 1, 4, 9, 16, 25, 36, 49, 64, 81, 100).

  4. What is the square root of a number?

    A value that, when multiplied by itself, gives the original number (e.g., the square root of 49 is 7).

  5. What is the value of 12 squared, 13 squared, 14 squared and 15 squared?

    144, 169, 196, and 225 respectively.

  6. What is a perfect cube, and what is the cube of 5?

    A perfect cube is the cube of an integer (e.g., 1, 8, 27, 64, 125). The cube of 5 is 125.

  7. What is the cube root of 64 and of 125?

    The cube root of 64 is 4; the cube root of 125 is 5.

  8. What is a ratio?

    A comparison of two quantities of the same kind by division, written a:b (read 'a to b'), equal to the fraction a/b.

  9. What is a proportion?

    A statement that two ratios are equal, a:b = c:d (also written a:b::c:d).

  10. In a proportion a:b = c:d, what is the rule of cross multiplication?

    Product of extremes = product of means: a x d = b x c.

  11. How do you divide an amount in the ratio a:b?

    First part = amount x a/(a+b); second part = amount x b/(a+b).

  12. What is the mean proportional between two numbers a and b?

    The square root of (a x b).

  13. What is the formula to convert a fraction or ratio to a percentage?

    Multiply by 100: percentage = (value/total) x 100.

  14. How do you convert a percentage to a fraction?

    Divide by 100 and simplify (e.g., 25% = 25/100 = 1/4).

  15. How do you find x% of a number N?

    Multiply: (x/100) x N.

  16. What is the percentage increase formula?

    Percentage increase = (Increase / Original value) x 100.

  17. If a quantity increases by x% then decreases by x%, what is the net effect?

    A net decrease of (x squared)/100 percent (it never returns to the original value).

  18. What is the formula for the average (arithmetic mean) of a set of values?

    Average = (Sum of all observations) / (Number of observations).

  19. How do you find the total sum if you know the average and the number of items?

    Sum = Average x Number of items.

  20. What is the average of the first n natural numbers?

    (n + 1) / 2.

  21. In partnership, how are profits shared when partners invest different amounts for the same time period?

    Profit is divided in the ratio of their investments (capitals).

  22. How is profit shared in a partnership when both capital and time differ?

    In the ratio of (capital x time) for each partner.

  23. What is the difference between an active (working) partner and a sleeping partner?

    A working partner manages the business (may get an extra salary/commission); a sleeping partner only invests capital and shares profit, without managing.

  24. What is alligation?

    A rule to find the ratio in which two or more ingredients at given prices/concentrations must be mixed to produce a mixture of a desired mean price/concentration.

  25. State the rule of alligation for finding the mixing ratio.

    (Quantity of cheaper)/(Quantity of dearer) = (Price of dearer - Mean price)/(Mean price - Price of cheaper).

  26. In a mixture problem, if a vessel has milk and water in ratio 3:2 in 20 litres, how much is milk?

    12 litres. Milk = 20 x 3/(3+2) = 20 x 3/5 = 12 litres.

  27. What are the formulas for profit and loss?

    Profit = SP - CP (when SP > CP); Loss = CP - SP (when CP > SP), where SP is selling price and CP is cost price.

  28. What are the formulas for profit percent and loss percent?

    Profit% = (Profit/CP) x 100; Loss% = (Loss/CP) x 100. Both are calculated on cost price.

  29. What is the difference between marked price (MP) and selling price (SP)?

    Marked price (list price) is the price tagged on an item before discount; selling price is the actual price after discount: SP = MP - Discount.

  30. What is the formula for discount and discount percent?

    Discount = Marked Price - Selling Price; Discount% = (Discount / Marked Price) x 100. Discount is calculated on the marked price.

SSC GD Constable Elementary Mathematics FAQ

What is in the SSC GD Constable Elementary Mathematics syllabus?

SSC GD Constable Elementary Mathematics is split into 6 chapters: Number System and Arithmetic Operations, Ratio, Proportion and Variation, Commercial Mathematics, Time, Work and Speed, Mensuration and Algebra, Geometry and Data Interpretation. Together they contain 26 topics and 6 sub-topics.

How many chapters are in SSC GD Constable Elementary Mathematics?

6 chapters, containing 26 topics and 6 sub-topics. The largest chapter is Number System and Arithmetic Operations, with 5 topics.

Are there flashcards for SSC GD Constable Elementary Mathematics?

Yes — a 50-card Elementary Mathematics deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.