SSC CHSL (Combined Higher Secondary Level) Tier II - Module-Specific Topics Syllabus

Tier II - Module-Specific Topics syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Tier II - Module-Specific Topics in SSC CHSL (Combined Higher Secondary Level), not a summary of it.

1. 1

   Mathematical Abilities (Section I, Module I)

   4 topics

   • Advanced Number System and Fundamental Arithmetic
     • Decimals, fractions and ratios
     • Powers, roots and divisibility
   • Algebra and Graphs of Linear Equations
   • Geometry, Mensuration and Trigonometry
     • Triangles, circles and tangents
     • Heights and distances
   • Statistics and Probability Basics
     • Mean, median, mode
     • Frequency distributions
2. 2

   Reasoning and General Intelligence (Section I, Module II)

   4 topics

   • Semantic and Symbolic Operations
     • Semantic/number/figural analogy and classification
     • Symbolic operations and trends
   • Coding, Series and Space Orientation
     • Coding-decoding and number series
     • Space orientation and visual memory
   • Problem Solving and Critical Thinking
     • Drawing inferences
     • Emotional and social intelligence
   • Embedded Figures and Pattern Folding
3. 3

   English Language and Comprehension (Section II, Module I)

   3 topics

   • Advanced Vocabulary and Spellings
     • Synonyms/antonyms, idioms
     • One word substitution and misspelt words
   • Grammar, Error Detection and Improvement
     • Spotting errors and fill in blanks
     • Active/passive and narration
   • Comprehension and Para Jumbles
     • Reading passages
     • Sentence rearrangement and cloze
4. 4

   General Awareness (Section II, Module II)

   3 topics

   • India and its Neighbouring Countries
     • History, geography and polity
     • Economic and cultural scene
   • Science, Technology and Current Events
     • General science and research
     • Sports and current affairs
   • Static GK and Constitution
5. 5

   Computer Knowledge (Section III, Module I)

   4 topics

   • Computer Fundamentals
     • Organisation of a computer and CPU
     • Input/output devices and memory
   • Software and Office Applications
     • Operating system basics
     • MS Word, Excel and PowerPoint (MS Office)
   • Internet and Communication
     • WWW, email and web browsing
     • Networking concepts
   • Cyber Security and Digital Awareness
     • Viruses, malware and protection
     • Networking and basic security

Tier II - Module-Specific Topics flashcards for SSC CHSL (Combined Higher Secondary Level)

21 of 50 cards from the Tier II - Module-Specific Topics deck — real questions with worked answers.

1. State the divisibility rule for 3 and for 9.

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

2. 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 the sum of digits in even positions is $0$ or a multiple of $11$.

3. How are HCF and LCM of two numbers $a$ and $b$ related to their product?

   $\text{HCF}(a,b) \times \text{LCM}(a,b) = a \times b$.

4. Define a prime number and state how many even prime numbers exist.

   A prime number is a natural number greater than $1$ with exactly two factors: $1$ and itself. There is only one even prime: $2$.

5. What is the formula for the sum of the first $n$ natural numbers?

   $$\sum_{k=1}^{n} k = \frac{n(n+1)}{2}$$

6. Give the formula for the sum of the squares of the first $n$ natural numbers.

   $$\sum_{k=1}^{n} k^{2} = \frac{n(n+1)(2n+1)}{6}$$

7. How do you convert a recurring decimal like $0.\overline{6}$ into a fraction?

   Place the repeating block over as many $9$s as there are repeating digits: $0.\overline{6} = \frac{6}{9} = \frac{2}{3}$.

8. If $a:b = 2:3$ and $b:c = 4:5$, what is $a:b:c$?

   Make $b$ common: $a:b = 8:12$, $b:c = 12:15$, so $a:b:c = 8:12:15$.

9. What is the difference between ratio and proportion?

   A ratio compares two quantities of the same kind ($a:b$); a proportion states that two ratios are equal ($a:b = c:d$, i.e. $\frac{a}{b} = \frac{c}{d}$).

10. In a proportion $a:b = c:d$, what is the product of the means equal to?

    The product of the means equals the product of the extremes: $b \times c = a \times d$.

11. State the laws of exponents for $a^{m} \times a^{n}$ and $(a^{m})^{n}$.

    $a^{m} \times a^{n} = a^{m+n}$ and $(a^{m})^{n} = a^{mn}$.

12. What is the value of any non-zero number raised to the power zero, and of $a^{-n}$?

    $a^{0} = 1$ for $a \neq 0$, and $a^{-n} = \frac{1}{a^{n}}$.

13. Express the cube root and the $n$th root of $x$ using fractional exponents.

    $\sqrt[3]{x} = x^{1/3}$ and $\sqrt[n]{x} = x^{1/n}$.

14. What is the simplified value of $\sqrt{a} \times \sqrt{b}$ for non-negative $a,b$?

    $\sqrt{a} \times \sqrt{b} = \sqrt{ab}$.

15. Give the algebraic identity for $(a+b)^{2}$ and $(a-b)^{2}$.

    $(a+b)^{2} = a^{2} + 2ab + b^{2}$ and $(a-b)^{2} = a^{2} - 2ab + b^{2}$.

16. What is the identity for $a^{2} - b^{2}$?

    $a^{2} - b^{2} = (a+b)(a-b)$.

17. State the identity for $a^{3} + b^{3}$.

    $a^{3} + b^{3} = (a+b)(a^{2} - ab + b^{2})$.

18. What is the quadratic formula for $ax^{2}+bx+c=0$?

    $$x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$$

19. For a quadratic $ax^{2}+bx+c=0$, give the sum and product of its roots.

    Sum of roots $= -\frac{b}{a}$; product of roots $= \frac{c}{a}$.

20. What does the discriminant $D = b^{2} - 4ac$ tell us about the roots of a quadratic?

    If $D > 0$, two distinct real roots; if $D = 0$, two equal real roots; if $D < 0$, no real roots (complex).

21. What is the slope-intercept form of a straight line and what does each symbol mean?

    $y = mx + c$, where $m$ is the slope (gradient) and $c$ is the $y$-intercept.

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