Examius
🇮🇳 SSC GD · subject
SSC GD Elementary Mathematics Syllabus
The Elementary Mathematics syllabus for SSC GD in full: 17 chapters, every one listed below, plus 50 Elementary Mathematics flashcards with answers.
Elementary Mathematics syllabus: all 17 chapters
Expand any chapter to see its topics and sub-topics.
-
Natural Numbers
overviewNo separate topics listed for this chapter.
-
Integers
overviewNo separate topics listed for this chapter.
-
Rational Numbers
overviewNo separate topics listed for this chapter.
-
Number systems
overviewNo separate topics listed for this chapter.
-
Computation of whole numbers
overviewNo separate topics listed for this chapter.
-
Decimals and fractions
overviewNo separate topics listed for this chapter.
-
Fundamental arithmetical operations
overviewNo separate topics listed for this chapter.
-
Percentages
overviewNo separate topics listed for this chapter.
-
Ratio and proportion
overviewNo separate topics listed for this chapter.
-
Averages
overviewNo separate topics listed for this chapter.
-
Interest
overviewNo separate topics listed for this chapter.
-
Profit and los
overviewNo separate topics listed for this chapter.
-
Discount
overviewNo separate topics listed for this chapter.
-
Mensuration
overviewNo separate topics listed for this chapter.
-
Time and distance
overviewNo separate topics listed for this chapter.
-
Ratio and time
overviewNo separate topics listed for this chapter.
-
Time and work
overviewNo separate topics listed for this chapter.
SSC GD Elementary Mathematics flashcards — 50 questions with answers
What is the formula for Simple Interest (SI)?
SI = (P × R × T) / 100, where P = principal, R = rate per annum, T = time in years.
What is the formula for Compound Interest amount compounded annually?
A = P(1 + R/100)^T; Compound Interest = A − P.
How do you convert a fraction to a percentage?
Multiply the fraction by 100. For example, 3/4 = (3/4) × 100 = 75%.
What is the formula for the average (arithmetic mean) of n numbers?
Average = (Sum of all observations) / (Number of observations).
What is profit percentage based on?
Profit % = (Profit / Cost Price) × 100. Profit and loss are always calculated on the cost price.
What is the formula for Loss percentage?
Loss % = (Loss / Cost Price) × 100, where Loss = Cost Price − Selling Price.
How is Selling Price (SP) found when Cost Price (CP) and gain% are known?
SP = CP × (100 + Gain%) / 100.
What is the formula relating Speed, Distance, and Time?
Speed = Distance / Time; Distance = Speed × Time; Time = Distance / Speed.
How do you convert km/hr to m/s?
Multiply by 5/18. For example, 36 km/hr = 36 × 5/18 = 10 m/s.
How do you convert m/s to km/hr?
Multiply by 18/5. For example, 10 m/s = 10 × 18/5 = 36 km/hr.
What is the formula for the area of a rectangle?
Area = length × breadth.
What is the formula for the perimeter of a rectangle?
Perimeter = 2 × (length + breadth).
What is the formula for the area of a triangle given base and height?
Area = (1/2) × base × height.
What is the formula for the area of a circle?
Area = πr², where r is the radius.
What is the formula for the circumference of a circle?
Circumference = 2πr (or πd, where d is the diameter).
What is the formula for the area of a square?
Area = side², where side is the length of one side.
What is the volume of a cube with side 'a'?
Volume = a³.
What is the volume of a cuboid?
Volume = length × breadth × height.
What is the volume of a cylinder?
Volume = πr²h, where r is the radius and h is the height.
What is the formula for the area of a parallelogram?
Area = base × height.
Show the other 30 Elementary Mathematics flashcards
What is HCF (Highest Common Factor)?
The largest number that divides two or more given numbers exactly (without leaving a remainder).
What is LCM (Lowest Common Multiple)?
The smallest positive number that is exactly divisible by two or more given numbers.
What is the relationship between HCF and LCM of two numbers?
Product of two numbers = HCF × LCM.
What is a prime number? Give the smallest example.
A natural number greater than 1 having exactly two factors, 1 and itself. The smallest prime number is 2.
Is 1 a prime number?
No. 1 has only one factor (itself), so it is neither prime nor composite.
What is the divisibility rule for 3?
A number is divisible by 3 if the sum of its digits is divisible by 3.
What is the divisibility rule for 9?
A number is divisible by 9 if the sum of its digits is divisible by 9.
What is the divisibility rule for 4?
A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
What is the divisibility rule for 11?
A number is divisible by 11 if the difference between the sum of digits at odd places and even places is 0 or a multiple of 11.
What is the divisibility rule for 8?
A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
What is the formula for ratio in simplest form?
Divide both terms of the ratio by their HCF. For example, 8:12 = 2:3 (dividing by 4).
In a proportion a:b = c:d, what is the rule of cross-multiplication?
Product of means = product of extremes, i.e., b × c = a × d.
What is the sum of the first n natural numbers?
Sum = n(n + 1) / 2.
What is the sum of the first n odd natural numbers?
Sum = n² (the square of the number of terms).
What is the value of (a + b)²?
(a + b)² = a² + 2ab + b².
What is the value of (a − b)²?
(a − b)² = a² − 2ab + b².
What is the value of (a + b)(a − b)?
(a + b)(a − b) = a² − b².
How do you find the square of a number ending in 5, e.g., 35²?
Multiply the tens digit by the next number and append 25. For 35: 3 × 4 = 12, so 35² = 1225.
What is the average speed for a round trip at speeds x and y over the same distance?
Average speed = 2xy / (x + y).
What is the formula for the area of a rhombus given its diagonals?
Area = (1/2) × d₁ × d₂, where d₁ and d₂ are the lengths of the diagonals.
What is the formula for the area of a trapezium?
Area = (1/2) × (sum of parallel sides) × height.
What does BODMAS stand for?
Brackets, Of, Division, Multiplication, Addition, Subtraction — the order of operations for simplifying expressions.
How do you find a percentage of a number, e.g., 20% of 150?
Multiply the number by the percentage divided by 100. 20% of 150 = (20/100) × 150 = 30.
If a number is increased by x%, what is the multiplying factor?
Multiply by (1 + x/100). For a decrease of x%, multiply by (1 − x/100).
What is the formula for work done when one person finishes a job in n days?
One day's work = 1/n of the total work.
If A does a work in 'a' days and B in 'b' days, how long do they take together?
Time together = (a × b) / (a + b) days.
What is the value of π (pi) commonly used in calculations?
π ≈ 22/7 or approximately 3.14.
What is the relationship between Marked Price, Discount, and Selling Price?
Selling Price = Marked Price − Discount; Discount % = (Discount / Marked Price) × 100.
What is the formula for the perimeter (circumference) and area of a semicircle of radius r?
Perimeter = πr + 2r; Area = (1/2)πr².
How is a decimal converted to a percentage?
Multiply the decimal by 100. For example, 0.25 = 0.25 × 100 = 25%.
SSC GD Elementary Mathematics FAQ
What is in the SSC GD Elementary Mathematics syllabus?
SSC GD Elementary Mathematics is split into 17 chapters: Natural Numbers, Integers, Rational Numbers, Number systems, Computation of whole numbers, Decimals and fractions, Fundamental arithmetical operations, Percentages, Ratio and proportion, Averages, Interest and Profit and los, and 5 more.
How many chapters are in SSC GD Elementary Mathematics?
17 chapters.
Are there flashcards for SSC GD 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.