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Formulas & shortcuts

DIM: School-leaving and university entrance exams · 24

Every formula in this course and the easiest ways to remember them, on one page.

1. The exam system2. First-stage subjects3. Specialty-group subjects4. Score strategies

1The exam systemBeginner

The grade 9 and grade 11 school-leaving exams

Open lesson

University admission: two stages and five specialty groups

Open lesson

Scoring: calculate your own points

Open lesson
Language of instruction: RS = 5/2 · (2W + C)Language of instruction: RS = 5/2 · (2W + C)
where:
  • RSrelative score (0–100)
  • Wsum of points on the 10 written tasks (0–10)
  • Cnumber of correct answers on the 20 closed tasks
Mathematics: RS = 25/8 · (2W + K + C)Mathematics: RS = 25/8 · (2W + K + C)
where:
  • Wsum of points on the 7 full-solution tasks (0–7)
  • Kcorrect answers on the 5 coded tasks
  • Ccorrect answers on the 13 closed tasks
RS = 100/33 · (R − X/4 + K + 2W)RS = 100/33 · (R − X/4 + K + 2W)
where:
  • Rright answers on the 22 closed tasks
  • Xwrong answers on the closed tasks (blanks are not counted)
  • Kcorrect answers on the 5 coded tasks
  • Wsum of points on the 3 written tasks (0–3)

If the closed part (R − X/4) comes out negative, it is taken as zero. Wrong answers on open tasks are not penalized. The subject's relative score is then multiplied by its weight coefficient (1.5 or 1).

Total = first stage (≤ 300) + 1.5 · RS₁ + 1.5 · RS₂ + 1 · RS₃ (≤ 400) ≤ 700

For specialty groups I–IV. RS₁ and RS₂ are the group's subjects with coefficient 1.5, RS₃ the subject with coefficient 1.

Registration, exam day, results and choosing specialties

Open lesson

A six-month study plan

Open lesson

2First-stage subjectsIntermediate

Azerbaijani language and literature: strategies for text tasks

Open lesson

Mathematics: key formulas and exam-style problems

Open lesson
A₁ = A₀ · (1 ± p/100)A₁ = A₀ · (1 ± p/100)
where:
  • A₀starting value
  • ppercentage increase (+) or decrease (−)

For successive changes, multiply the factors: +20% then −20% → 1.2 · 0.8 = 0.96, that is −4% overall.

aₙ = a₁ + (n − 1)d; Sₙ = (a₁ + aₙ) · n / 2; bₙ = b₁ · qⁿ⁻¹aₙ = a₁ + (n − 1)d; Sₙ = (a₁ + aₙ) · n / 2; bₙ = b₁ · qⁿ⁻¹
where:
  • a₁, dfirst term and common difference of an arithmetic progression
  • b₁, qfirst term and common ratio of a geometric progression
ax² + bx + c = 0: D = b² − 4ac, x = (−b ± √D) / (2a), x₁ + x₂ = −b/a, x₁ · x₂ = c/aax² + bx + c = 0: D = b² − 4ac, x = (−b ± √D) / (2a), x₁ + x₂ = −b/a, x₁ · x₂ = c/a

The last two equalities are Vieta's theorem — the fastest way to check roots.

logₐ(xy) = logₐx + logₐy; logₐ(xⁿ) = n · logₐx; (xⁿ)′ = n · xⁿ⁻¹; P = m / nlogₐ(xy) = logₐx + logₐy; logₐ(xⁿ) = n · logₐx; (xⁿ)′ = n · xⁿ⁻¹; P = m / n
where:
  • P = m / nP = m / nprobability: favourable outcomes / all equally likely outcomes

Foreign language (English): listening, reading, grammar and writing

Open lesson

3Specialty-group subjectsAdvanced

History: chronology, source tasks and cause and effect

Open lesson

Physics, chemistry and biology: solving situation tasks

Open lesson
Q = c · m · Δt; 1/R = 1/R₁ + 1/R₂; n = m / M; ω = m(solute) / m(solution) · 100%Q = c · m · Δt; 1/R = 1/R₁ + 1/R₂; n = m / M; ω = m(solute) / m(solution) · 100%
where:
  • Q = c · m · Δtheat needed for heating (J); c — specific heat capacity, Δt — temperature change
  • 1/R = 1/R₁ + 1/R₂1/R = 1/R₁ + 1/R₂total resistance of two resistors in parallel
  • n = m / Mn = m / Mamount of substance (mol); M — molar mass (g/mol)
  • ωmass fraction of the solute; m(solution) = m(solute) + m(solvent)

4Score strategiesAdvanced

Time management and smart guessing

Open lesson
average time = 180 min / number of tasks: stage 1 (81 tasks from 2027) ≈ 2.2 min, stage 2 = 2 minaverage time = 180 min / number of tasks: stage 1 (81 tasks from 2027) ≈ 2.2 min, stage 2 = 2 min

The average is misleading: a closed task may take 1 minute and a written solution 5–8 minutes. The 180 minutes are the 2026 time; DIM has not yet announced the school-leaving exam time for 2027.

E = 1/k − (1 − 1/k) · 1/4E = 1/k − (1 − 1/k) · 1/4
where:
  • Ethe average “net” right answers one guess brings
  • koptions left after elimination (from 5 down to 2)

Typical mistakes, mental preparation and an exam-day checklist

Open lesson