BAHAS PREDIKISI SOAL TKA 2025 FULL PEMBAHASAN!! | Mantappu Academy

Main Ideas and Lessons Conveyed

• TKA (Indonesian test) question preparation

  • The channel states this is the first TKA video in Indonesia on their platform.
  • They claim there were no previous-year questions, so they create question sets based on the grid (syllabus outline).

• Learning levels and difficulty progression

  • Level 1 (Understanding/Knowledge): straightforward concepts and basic computation.
  • Level 2 (Application): applying concepts to scenarios and multi-step problems; includes true/false style questions.
  • Level 3 (Reasoning): more conceptual/logic-heavy; includes cases like estimating, comparison, and “sufficient or not” style reasoning.

• Core topics discussed (Numbers)

  • Numbers Level 1: decimals/percentages/fractions conversions; ordering values; order of operations.
  • Numbers Level 2: word problems (e.g., rates) in true/false format; exponent rules as application.
  • Numbers Level 3: reasoning using bounds (e.g., (x \in [0,1])); logical sufficiency with equations.

• Promotional message

  • The speaker repeatedly promotes the Mantap Academy intensive TKA class, including:
    • Price: Rp30,000 per session
    • Date mentioned: September 22nd
  • Mentions instructors: Eva and “the rest of the Mantap Academy team,” plus references to other named contributors.

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Methodologies / Step-by-Step Instructions Presented

A) Level 1: Converting and using decimals/percentages

• When a question mixes percentages and fractions/decimals:
  • Prefer converting 25% to decimal form (example):
    • (25\% = \frac{25}{100} = 0.25)
    • (75\% = 0.75)
• Example approach shown for concluding:
  • Use:
    • (0.75 + 0.25 = 1)
  • Then interpret/transform forms using fraction division equivalences.

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B) Level 1: Example—dividing fractions / mixed fraction form

• When dividing by a fraction:

  • Rule used:

    Dividing by a fraction = multiplying by its reciprocal (swap numerator/denominator).

• If the answer format doesn’t match the choices:

  • Convert it into mixed fraction form (so it aligns with an option).

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C) Level 1: Order of operations (BODMAS-like)

• For expressions involving addition/subtraction/division/multiplication, follow:
  1. Brackets first
  2. Then multiplication/division
  3. Then addition/subtraction
• If multiple operations have the same precedence:
  • Evaluate left to right.

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D) Level 1: Ordering numbers from smallest to largest (mixed forms)

• If values are presented in mixed representations (%, decimals, fractions):
  • Convert all numbers to the same type before comparing:
    • all to decimals, or all to percentages, or all to fractions.
• Fraction-to-decimal “special fractions” trick used:
  • ( \frac{1}{3} \approx 0.333 )
  • ( \frac{2}{3} \approx 0.66 )
  • ( \frac{1}{8} = 0.125 )
  • ( \frac{3}{8} = 0.375 )
  • ( \frac{5}{8} = 0.625 )
  • ( \frac{7}{8} = 0.875 )
• Final ordering strategy shown:
  • Identify approximate decimal values and sort them.
  • The example concludes the ordering using approximate decimals (e.g., smallest 0.6, then 0.625, 0.65, 0.66), matching option B.

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E) Level 2: True/False rate comparison (pump example)

• Given: 80 L in 4 minutes
• Convert to a per-minute rate:
  • ( \frac{80}{4} = 20 ) L per minute
• For each statement:
  • Check consistency with the rate.
  • Example checks:
    • “1 minute” → should be 20 L
    • “320 L in 1 minute” → must be false if it contradicts the computed rate
    • “100 L takes 5 minutes”:
      • With 20 L/min: ( \frac{100}{20} = 5 ) minutes → true
• Key caution:
  • These statements depend on the same computed rate—if you miscalculate once, errors cascade.

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F) Level 2: Exponent rules—group by base

• Example structure (paraphrased):

  • [ A^3 \cdot B^{-2} \ /\ (A^{-1} \cdot B) ]

• Instructions implied:

  • Group by base:
    • Collect all terms with base (a) together
    • Collect all terms with base (b) together
  • Use exponent properties:
    • Same base division:
      • ( \frac{a^m}{a^n} = a^{m-n} )
    • Negative exponents:
      • ( b^{-k} = \frac{1}{b^k} )
• Transcript warning:
  • Don’t rush negative exponent sign algebra—common mistakes include confusion between outcomes like (-2) and (-1).

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G) Level 2: Exponents in equations—make bases equal, then equate exponents

• Method shown:
  • Rewrite numbers as powers of the same base (example: base 2):
    • (4 = 2^2)
    • (8 = 2^3)
• Use the rule for raising powers (transcript references “powers multiply” in context).
• Once bases match:
  • Equate exponents
  • Solve the resulting linear equation to find (x).

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H) Level 2: Growth/doubling (geometric sequence concept)

• Given: population doubles every 10 minutes
• Suggested approach:
  • Prefer manual step-multiplying by 2 over memorizing a formula.
  • Walk through time points:
    • Convert clock time into the number of 10-minute doubling intervals
• Transcript emphasis:
  • This is a geometric progression type.
  • Watch out for indexing/term confusion (e.g., “6th vs 7th term”).

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I) Level 3: Reasoning with bounds (x \in [0,1]) (estimate-by-substitution)

Method described:

• When an expression depends on (x) but options are unclear:
  • Use (0 \le x \le 1)
  • Choose a simple value inside the range (example uses (x = \frac{1}{4}))
• Use monotonic/power behavior in ([0,1]):
  • If (0 < x < 1), then:
    • (x^2 < x) (powers get smaller)
  • If the expression contains (1/x):
    • (1/x > 1), so powers get larger
• Compare options by tracking which becomes larger/smaller based on that behavior.
• Transcript analogy:
  • “Bread shared among many vs fewer” → more people means smaller shares, similar to how (1/x)-type expressions behave.

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J) Level 3: “Sufficient or not” logic with two statements

• Key logic methodology:
  • Determine whether (x^y) can be uniquely determined from two given statements.

Example structure

1) (x^2 = 16) 2) (y = 3)

• Handling ambiguity from (x^2 = 16):
  • (x = 4) or (x = -4)
• Since (y=3) is odd:
  • (4^3 = 64)
  • ((-4)^3 = -64)
• Because results differ, (x^y) is not uniquely determined:
  • Therefore: not sufficient / answer is uncertain.

Contrast case

• If (y) were even (e.g., (y=2)):
  • (4^2 = 16) and ((-4)^2 = 16)
• Same result despite sign ambiguity:
  • Therefore: sufficient.

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Speakers / Sources Featured (As Stated in the Subtitles)

• Narrator/Host (unnamed in the transcript), introducing the channel “Mantap Academy”
• Eva (explicitly named as one of the teachers)
• “Mantap Academy team” (group reference)
• Government / official exam sources (referred to as “government/example questions”; not named)