1.3 ÖSYM Scoring Mathematics, the 0.5 Raw-Point Rule, 1/4 Penalty & 100-Minute Pacing

1.3 ÖSYM Scoring Mathematics, the 0.5 Raw-Point Rule, 1/4 Penalty & 100-Minute Pacing

Quick Answer: ÖSYM calculates TR-YÖS scores in four mathematical stages: (1) Raw Score (Ham Puan): $\text{Net} = D - \frac{Y}{4}$ for each 40-question test separately; (2) 0.5 Raw-Point Rule: You must earn $\ge 0.5$ raw points in at least one subtest (Sayısal Yetenek or Temel Matematik) or no score is calculated; (3) Standard Score (Standart Puan): $\text{SP} = 50 + 10 \times \left(\frac{X - \mu}{\sigma}\right)$ with mean $50$ and SD $10$; and (4) Weighted Score (Ağırlıklı Puan): $\text{AP} = 0.45 \times \text{SP}_{\text{SY}} + 0.55 \times \text{SP}_{\text{TM}}$, linearly mapped to the 100–500 TR-YÖS scale.

Maximizing your final score on the 100–500 TR-YÖS scale requires more than solving individual math and IQ problems—it requires understanding how ÖSYM's psychometric engine rewards raw points across the two subtests, how the $-0.25$ wrong-answer penalty interacts with five-option elimination, and how to allocate 100 minutes across 80 questions.

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The 4-Stage ÖSYM Scoring Pipeline

Stage 1: Raw Score (Ham Puan / Net) & the $1/4$ Penalty

After optical answer sheets are scanned, ÖSYM counts the number of correct answers ($D$ — Doğru), wrong answers ($Y$ — Yanlış), and blank responses (Boş) separately for the 40-question Sayısal Yetenek Testi ($\text{SY}$) and the 40-question Temel Matematik Testi ($\text{TM}$). For each subtest, the Raw Score ($X$, or Net) is computed by subtracting one-fourth of the wrong answers from the correct answers:

$$X_{\text{SY}} = D_{\text{SY}} - \frac{Y_{\text{SY}}}{4} = D_{\text{SY}} - 0.25 \times Y_{\text{SY}}$$ $$X_{\text{TM}} = D_{\text{TM}} - \frac{Y_{\text{TM}}}{4} = D_{\text{TM}} - 0.25 \times Y_{\text{TM}}$$

• Correct Answer ($D$): $+1.00$ raw point.
• Wrong Answer ($Y$): $-0.25$ raw points (dört yanlış bir doğruyu götürür — four wrong answers cancel one correct answer).
• Blank Item (Boş) or Double-Bubbled Item: Leaving an item blank yields $0.00$ points. However, marking two bubbles on the same row is graded as a wrong answer ($Y$) and incurs the $-0.25$ penalty. Cancelled questions are excluded from assessment and the point values of valid questions are recalculated. If an answer key changes, scoring uses the updated key.

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Stage 2: The Mandatory 0.5 Raw-Point Rule (0,5 Ham Puan Barajı)

Before standardizing scores, ÖSYM applies a strict qualification filter defined in the official TR-YÖS Başvuru Kılavuzu:

Official Rule: To have a weighted TR-YÖS score calculated, a candidate must obtain at least $0.5$ raw points ($\ge 0.50$ net) in at least one of the two subtests (Sayısal Yetenek Testi or Temel Matematik Testi):

$$\max\left(X_{\text{SY}},\, X_{\text{TM}}\right) \ge 0.50$$

Notice two critical subtleties of this rule:

1. "At Least One" (En Az Birinden), Not Both: If a candidate achieves $\ge 0.50$ raw points in Sayısal Yetenek (for example, $X_{\text{SY}} = 28.00$) and scores $0.00$ (or even negative net, such as $-1.50$) in Temel Matematik, their TR-YÖS score IS still calculated, incorporating both subtests.
2. Failing Both Subtests Voids the Score: If a candidate achieves $< 0.50$ raw points in Sayısal Yetenek AND $< 0.50$ raw points in Temel Matematik, ÖSYM does not calculate a TR-YÖS score (TR-YÖS puanı hesaplanmaz).

Concrete Numerical Boundary Cases for the 0.5 Rule

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Stage 3: Standard Score (Standart Puan — SP)

Using the raw scores of candidates’ relevant raw scores in that sitting, ÖSYM computes the arithmetic mean ($\mu$) and standard deviation ($\sigma$) of raw scores separately for Sayısal Yetenek ($\mu_{\text{SY}}, \sigma_{\text{SY}}$) and Temel Matematik ($\mu_{\text{TM}}, \sigma_{\text{TM}}$). Each candidate's raw score is then converted into a Standard Score ($\text{SP}$) scaled to a population distribution with mean $50$ and standard deviation $10$:

$$\text{SP}_{\text{SY}} = 50 + 10 \times \left(\frac{X_{\text{SY}} - \mu_{\text{SY}}}{\sigma_{\text{SY}}}\right)$$ $$\text{SP}_{\text{TM}} = 50 + 10 \times \left(\frac{X_{\text{TM}} - \mu_{\text{TM}}}{\sigma_{\text{TM}}}\right)$$

Because $\sigma$ sits in the denominator, 1 additional net point in a test with a smaller standard deviation ($\sigma$) produces a larger increase in Standard Score than in a test with a larger standard deviation; the mean itself does not determine this marginal gain.

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Stage 4: Weighted Score (Ağırlıklı Puan — AP) & 100–500 Linear Scaling

Next, ÖSYM combines the two Standard Scores using the official subtest weights of $0.45$ (45%) for Sayısal Yetenek and $0.55$ (55%) for Temel Matematik to compute the Weighted Score ($\text{AP}$):

$$\text{AP} = 0.45 \times \text{SP}_{\text{SY}} + 0.55 \times \text{SP}_{\text{TM}}$$

Finally, ÖSYM converts weighted scores to a scale whose minimum is 100 and maximum is 500. The guide does not provide the sitting-specific parameters needed to predict your final score from a practice net total. Do not assume that an unachieved theoretical perfect raw score is the observed maximum used in the conversion.

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Worked Calculation Box: Same Total Net (60.0), Different Final TR-YÖS Scores

Hypothetical Worked Example — Compare Gains Using Both Weight and Standard Deviation: Suppose in a given TR-YÖS sitting, population parameters across all examinees are:

• Sayısal Yetenek ($\text{SY}$): Mean $\mu_{\text{SY}} = 22.00$, Standard Deviation $\sigma_{\text{SY}} = 8.00$
• Temel Matematik ($\text{TM}$): Mean $\mu_{\text{TM}} = 14.00$, Standard Deviation $\sigma_{\text{TM}} = 7.00$

Compare Candidate A and Candidate B, both of whom achieve an identical total of $60.00$ net out of $80$:

1. Candidate A (IQ-Dominant Split: $X_{\text{SY}} = 36.00$, $X_{\text{TM}} = 24.00$, Total $= 60.00$ Net):

• $\text{SP}_{\text{SY}} = 50 + 10 \times \left(\frac{36.00 - 22.00}{8.00}\right) = 50 + 10(1.750) = 67.500$
• $\text{SP}_{\text{TM}} = 50 + 10 \times \left(\frac{24.00 - 14.00}{7.00}\right) = 50 + 10(1.4286) = 64.286$
• $\text{AP}_{\text{A}} = 0.45(67.500) + 0.55(64.286) = 30.375 + 35.357 = \mathbf{65.732}$

2. Candidate B (Math-Dominant Split: $X_{\text{SY}} = 26.00$, $X_{\text{TM}} = 34.00$, Total $= 60.00$ Net):

• $\text{SP}_{\text{SY}} = 50 + 10 \times \left(\frac{26.00 - 22.00}{8.00}\right) = 50 + 10(0.500) = 55.000$
• $\text{SP}_{\text{TM}} = 50 + 10 \times \left(\frac{34.00 - 14.00}{7.00}\right) = 50 + 10(2.8571) = 78.571$
• $\text{AP}_{\text{B}} = 0.45(55.000) + 0.55(78.571) = 24.750 + 43.214 = \mathbf{67.964}$

Strategic Conclusion: Even though both candidates earned 60.00 total net, Candidate B beats Candidate A by $+2.232$ AP points (the corresponding scaled-score difference cannot be predicted without that sitting’s conversion parameters). Each net point in Temel Matematik is worth $\frac{0.55 \times 10}{7.00} \approx 0.786$ AP points, whereas each net point in Sayısal Yetenek is worth $\frac{0.45 \times 10}{8.00} \approx 0.5625$ AP points—making Temel Matematik items roughly 40% more valuable per net point in this hypothetical distribution.

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Expected-Value Mathematics of Guessing on 5-Option (A–E) Items

When a candidate eliminates $e$ clearly incorrect options out of $5$, $k = 5 - e$ plausible options remain. Guessing uniformly among those $k$ remaining choices yields $+1.00$ net with probability $\frac{1}{k}$ and $-0.25$ net with probability $\frac{k - 1}{k}$. The expected net score change $\mathbb{E}[\Delta\text{Net}]$ is:

$$\mathbb{E}[\Delta\text{Net}] = \frac{1}{k}(+1.00) + \left(\frac{k - 1}{k}\right)(-0.25) = \frac{1.25}{k} - 0.25$$

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The 100-Minute Two-Pass Pacing Blueprint (Turlama Tekniği)

With 80 questions in 100 minutes, your raw time budget is 75 seconds per question. However, TR-YÖS items vary dramatically in execution time: your own solving times will vary by skill and question. Use practice records to set a stop-and-return rule rather than assuming every pattern or exponent question has a fixed time cost.

1. Pass 1A — High-Yield Temel Matematik or Sayısal Yetenek Sweep (Minutes 0–42):
   • Start with your stronger subtest, or begin directly with Temel Matematik while mental stamina is at 100% (since the Mathematics standard score carries a 0.55 weight). Solve every question whose solution path is immediately clear within 60–75 seconds.
   • The 75-Second Cut Rule: If no productive algebraic reduction or pattern law emerges within 60–75 seconds, cross out any eliminated options in your booklet, circle the question number with a large 2 (for Pass 2), and move on immediately.
2. Pass 1B — Second Subtest First Sweep (Minutes 42–84):
   • Sweep through the remaining 40-question subtest using the same 60–75 second discipline. Ensure you bubble completed groups of 5–10 questions onto the optical answer sheet (kaydırma kontrolü — checking question numbers to prevent row-shift errors).
3. Pass 2 — Targeted Attack on Circled Items & Optical Verification (Minutes 84–100):
   • Return to circled items where you already narrowed choices down to 2 or 3 options ($\mathbb{E}[\Delta\text{Net}] = +0.375$ or $+0.167$), prioritizing questions with the best expected gain per minute.
   • Reserve the final 3 minutes to verify that your Question Booklet Number (Soru Kitapçık Numarası) coding and all optical answers are cleanly filled.

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Post-Exam Strategy: Decentralized University Quota Applications (Kontenjan Başvuruları)

ÖSYM announces result availability on its official site. Use the announced result date rather than assuming a fixed three-to-four-week interval. Download your result from ÖSYM Results using the required candidate credentials.

Apply Under Each University’s Current Rules

ÖSYM does not conduct centralized university placement for TR-YÖS. Check the university’s international admission notice for accepted examination administrations, eligibility evidence, minimum score, quotas, ranking method, deadlines and language requirements. Keep the result document, diploma and transcript ready; provide equivalency or translation documents when that institution requires them. No universal medicine, engineering or law cutoff can be inferred from this examination guide, and no single nationality-cap percentage applies to every institution.

Expected Value Has Conditions

The guessing table assumes that eliminated choices really are wrong and that the correct answer is equally likely among the remaining choices. If your actual probability of being correct is $p$, expected raw gain is $p-0.25(1-p)=1.25p-0.25$. It is positive when $p>0.20$. Elimination is helpful only when it raises your confidence reliably; removing the correct choice defeats the model. Positive expectation across repeated practice is not a guarantee of a positive gain on a particular examination.

Record both tests separately in timed practice. For example, 30 correct, 6 wrong and 4 blank yields $30-6/4=28.5$ raw points in that test. Changing one wrong answer to a correct answer increases the raw total by $1.25$, while changing one blank to a correct answer increases it by $1$. Neither change is a fixed number of final scaled points. Use these calculations to diagnose error patterns and choose revision work, not to promise an admission result.

The two-pass schedule above is an independent suggestion. Adapt it to your observed speed and accuracy, retain time for answer-sheet transfer, and follow all official instructions. The average of 75 seconds per item includes easy questions, difficult questions and administrative checking, so spending more time on one question requires saving time elsewhere.

Facts checked on 13 October 2026: ÖSYM 2026-TR-YÖS/2 Turkish guide (Sections 3–5). Raw-score and expected-value examples are original teaching calculations.

Review the Method

ÖSYM does not perform centralized university placement for TR-YÖS; candidates use their Sonuç Belgesi (with verification code) to apply directly to individual universities' international student quota portals.