Kazakhstan UNT study materials
Kazakhstan UNT study resources

Kazakhstan UNT cheat sheet

Kazakhstan UNT · Keep the key ideas within reach.

Quick reference

Mathematical Literacy

  • Percent change = (new − old) / old × 100%; a 20% rise then 20% fall leaves 96% of the original value, not 100%.

  • Simple interest I = P·r·t; compound amount A = P(1 + r/n)^(nt) - doubling time ≈ 70/r years for small r in percent.

  • Direct proportion: y/x = constant; inverse proportion: x·y = constant. Test with one data pair before solving.

  • Average speed = total distance ÷ total time; never average two speeds arithmetically unless times are equal.

  • Probability of an event = favourable outcomes ÷ total equally likely outcomes; P(not A) = 1 − P(A); independent events multiply.

  • Area formulas: triangle ½bh, trapezium ½(a+b)h, circle πr²; volume of prism = base area × height, cone/pyramid = ⅓ × base area × height.

  • Scale reading: map distance = real distance × scale factor; convert units first (1 km = 1000 m, 1 m² = 10 000 cm²).

  • Read a chart by checking axis units and starting value; a truncated y-axis exaggerates differences.

  • Rounding rule for estimation items: round inputs to 1–2 significant figures, compute, then compare with answer options.

Quick reference

Reading Literacy

  • Four item types dominate: locating explicit information, interpreting and integrating, reflecting on content/form, and evaluating language.

  • For 'find the detail' items, scan for the key noun or number, then read the whole sentence - distractors reuse the same words in a wrong relation.

  • Main-idea items: the correct option covers the whole passage; wrong options are true but partial, or too broad.

  • Author's purpose is signalled by verbs and structure: describe, explain, persuade, instruct, compare.

  • Inference must be supported by text evidence; an answer needing outside knowledge is a distractor.

  • 'Tone' answers must be justified by word choice (e.g. emotive adjectives, hedges such as 'may', 'arguably').

  • Two-text items: identify agreement and disagreement explicitly; a claim can be shared while the reasoning differs.

  • Vocabulary-in-context: substitute each option into the sentence and keep the one preserving the sentence's logic.

Quick reference

History of Kazakhstan

  • Saka period (1st millennium BCE): Issyk Golden Man (often dated to the 5th–4th c. BCE) found in 1969 near Issyk, Almaty region; the inscription is not fully deciphered.

  • Hunnic era: the state of the Huns formed in the 3rd–2nd c. BCE; Attila's expansion reached Europe in the 5th c. CE.

  • Turkic Khaganate founded 552 CE by Bumin; the Western Turkic Khaganate (603) controlled the Semirechye and Silk Road routes.

  • Karakhanid state (late 10th c.): Islam adopted as state religion; Yusuf Balasaguni wrote Kutadgu Bilig; Mahmud Kashgari compiled the Diwan Lughat al-Turk.

  • Genghis Khan's campaigns reached Otrar in 1218–1219; the Golden Horde emerged from the Jochi ulus in the 13th c.

  • Kazakh Khanate: founded 1465–1466 by Kerey and Zhanibek in the Zhetysu; Ablai Khan (18th c.) pursued a policy between Russia and China.

  • Russian colonial period: 1731 Junior Zhuz protectorate, 1822 'Charter on Siberian Kirghiz', 1868 and 1891 reforms abolished khanate rule; 1916 Central Asian revolt triggered by conscription decrees.

  • Soviet era: 1920 Kirghiz ASSR, 1925 renamed Kazakh ASSR, 1936 Kazakh SSR; 1986 December events in Almaty; 16 December 1991 state independence; 1993 first constitution, 1995 current constitution; 1997 capital moved to Astana.

Quick reference

Profile Subject 1 (first elective discipline)

  • Treat this section as the candidate's declared first elective (commonly Mathematics, Physics, Biology, Chemistry, Geography, World History, Foreign Language or Kazakh language/literature); confirm the code on the official UNT specification before revising.

  • Elective scoring is per-item and contributes to the profile total; the two profile subjects carry more weight than the three compulsory ones in competitive admission.

  • For science electives: write units in every calculation, check significant figures, and eliminate options by dimensional analysis first.

  • For language electives: grammar items test agreement, tense sequence, articles and prepositions; reading items test inference, not literal copying.

  • For history/geography electives: anchor dates and place names to a timeline or map - recall is faster with spatial or chronological hooks.

  • Multi-step items: write the given values, the required quantity and the formula before substituting numbers.

Quick reference

Profile Subject 2 (second elective discipline)

  • This is the second declared elective; it must differ from Profile Subject 1 in the UNT combination chosen.

  • Common pairings: Mathematics + Physics, Biology + Chemistry, Geography + World History, Foreign Language + History.

  • Budget time per item: profile sections reward accuracy on standard tasks more than attempts at the hardest item.

  • For paired science subjects, reuse shared tools - mole calculations, graphs, unit conversion - across both sections.

  • For humanities pairings, memorise a compact set of turning points, treaties and terms with one defining detail each.

  • Review errors by category (concept, calculation, misreading) rather than by question, so weak categories get targeted revision.

Quick reference

Mathematical Literacy

  • Percent change = (new − old) / old × 100%; a 20% rise then 20% fall leaves 96% of the original value, not 100%.

  • Simple interest I = P·r·t; compound amount A = P(1 + r/n)^(nt) - doubling time ≈ 70/r years for small r in percent.

  • Direct proportion: y/x = constant; inverse proportion: x·y = constant. Test with one data pair before solving.

  • Average speed = total distance ÷ total time; never average two speeds arithmetically unless times are equal.

  • Probability of an event = favourable outcomes ÷ total equally likely outcomes; P(not A) = 1 − P(A); independent events multiply.

  • Area formulas: triangle ½bh, trapezium ½(a+b)h, circle πr²; volume of prism = base area × height, cone/pyramid = ⅓ × base area × height.

  • Scale reading: map distance = real distance × scale factor; convert units first (1 km = 1000 m, 1 m² = 10 000 cm²).

  • Read a chart by checking axis units and starting value; a truncated y-axis exaggerates differences.

  • Rounding rule for estimation items: round inputs to 1–2 significant figures, compute, then compare with answer options.

Quick reference

Reading Literacy

  • Four item types dominate: locating explicit information, interpreting and integrating, reflecting on content/form, and evaluating language.

  • For 'find the detail' items, scan for the key noun or number, then read the whole sentence - distractors reuse the same words in a wrong relation.

  • Main-idea items: the correct option covers the whole passage; wrong options are true but partial, or too broad.

  • Author's purpose is signalled by verbs and structure: describe, explain, persuade, instruct, compare.

  • Inference must be supported by text evidence; an answer needing outside knowledge is a distractor.

  • 'Tone' answers must be justified by word choice (e.g. emotive adjectives, hedges such as 'may', 'arguably').

  • Two-text items: identify agreement and disagreement explicitly; a claim can be shared while the reasoning differs.

  • Vocabulary-in-context: substitute each option into the sentence and keep the one preserving the sentence's logic.

Quick reference

History of Kazakhstan

  • Saka period (1st millennium BCE): Issyk Golden Man (often dated to the 5th–4th c. BCE) found in 1969 near Issyk, Almaty region; the inscription is not fully deciphered.

  • Hunnic era: the state of the Huns formed in the 3rd–2nd c. BCE; Attila's expansion reached Europe in the 5th c. CE.

  • Turkic Khaganate founded 552 CE by Bumin; the Western Turkic Khaganate (603) controlled the Semirechye and Silk Road routes.

  • Karakhanid state (late 10th c.): Islam adopted as state religion; Yusuf Balasaguni wrote Kutadgu Bilig; Mahmud Kashgari compiled the Diwan Lughat al-Turk.

  • Genghis Khan's campaigns reached Otrar in 1218–1219; the Golden Horde emerged from the Jochi ulus in the 13th c.

  • Kazakh Khanate: founded 1465–1466 by Kerey and Zhanibek in the Zhetysu; Ablai Khan (18th c.) pursued a policy between Russia and China.

  • Russian colonial period: 1731 Junior Zhuz protectorate, 1822 'Charter on Siberian Kirghiz', 1868 and 1891 reforms abolished khanate rule; 1916 Central Asian revolt triggered by conscription decrees.

  • Soviet era: 1920 Kirghiz ASSR, 1925 renamed Kazakh ASSR, 1936 Kazakh SSR; 1986 December events in Almaty; 16 December 1991 state independence; 1993 first constitution, 1995 current constitution; 1997 capital moved to Astana.

Quick reference

Profile Subject 1 (first elective discipline)

  • Treat this section as the candidate's declared first elective (commonly Mathematics, Physics, Biology, Chemistry, Geography, World History, Foreign Language or Kazakh language/literature); confirm the code on the official UNT specification before revising.

  • Elective scoring is per-item and contributes to the profile total; the two profile subjects carry more weight than the three compulsory ones in competitive admission.

  • For science electives: write units in every calculation, check significant figures, and eliminate options by dimensional analysis first.

  • For language electives: grammar items test agreement, tense sequence, articles and prepositions; reading items test inference, not literal copying.

  • For history/geography electives: anchor dates and place names to a timeline or map - recall is faster with spatial or chronological hooks.

  • Multi-step items: write the given values, the required quantity and the formula before substituting numbers.

Quick reference

Profile Subject 2 (second elective discipline)

  • This is the second declared elective; it must differ from Profile Subject 1 in the UNT combination chosen.

  • Common pairings: Mathematics + Physics, Biology + Chemistry, Geography + World History, Foreign Language + History.

  • Budget time per item: profile sections reward accuracy on standard tasks more than attempts at the hardest item.

  • For paired science subjects, reuse shared tools - mole calculations, graphs, unit conversion - across both sections.

  • For humanities pairings, memorise a compact set of turning points, treaties and terms with one defining detail each.

  • Review errors by category (concept, calculation, misreading) rather than by question, so weak categories get targeted revision.

Quick reference

Mathematical Literacy

  • Percent change = (new − old) / old × 100%; a 20% rise then 20% fall leaves 96% of the original value, not 100%.

  • Simple interest I = P·r·t; compound amount A = P(1 + r/n)^(nt) - doubling time ≈ 70/r years for small r in percent.

  • Direct proportion: y/x = constant; inverse proportion: x·y = constant. Test with one data pair before solving.

  • Average speed = total distance ÷ total time; never average two speeds arithmetically unless times are equal.

  • Probability of an event = favourable outcomes ÷ total equally likely outcomes; P(not A) = 1 − P(A); independent events multiply.

  • Area formulas: triangle ½bh, trapezium ½(a+b)h, circle πr²; volume of prism = base area × height, cone/pyramid = ⅓ × base area × height.

  • Scale reading: map distance = real distance × scale factor; convert units first (1 km = 1000 m, 1 m² = 10 000 cm²).

  • Read a chart by checking axis units and starting value; a truncated y-axis exaggerates differences.

  • Rounding rule for estimation items: round inputs to 1–2 significant figures, compute, then compare with answer options.

Quick reference

Reading Literacy

  • Four item types dominate: locating explicit information, interpreting and integrating, reflecting on content/form, and evaluating language.

  • For 'find the detail' items, scan for the key noun or number, then read the whole sentence - distractors reuse the same words in a wrong relation.

  • Main-idea items: the correct option covers the whole passage; wrong options are true but partial, or too broad.

  • Author's purpose is signalled by verbs and structure: describe, explain, persuade, instruct, compare.

  • Inference must be supported by text evidence; an answer needing outside knowledge is a distractor.

  • 'Tone' answers must be justified by word choice (e.g. emotive adjectives, hedges such as 'may', 'arguably').

  • Two-text items: identify agreement and disagreement explicitly; a claim can be shared while the reasoning differs.

  • Vocabulary-in-context: substitute each option into the sentence and keep the one preserving the sentence's logic.

Quick reference

History of Kazakhstan

  • Saka period (1st millennium BCE): Issyk Golden Man (often dated to the 5th–4th c. BCE) found in 1969 near Issyk, Almaty region; the inscription is not fully deciphered.

  • Hunnic era: the state of the Huns formed in the 3rd–2nd c. BCE; Attila's expansion reached Europe in the 5th c. CE.

  • Turkic Khaganate founded 552 CE by Bumin; the Western Turkic Khaganate (603) controlled the Semirechye and Silk Road routes.

  • Karakhanid state (late 10th c.): Islam adopted as state religion; Yusuf Balasaguni wrote Kutadgu Bilig; Mahmud Kashgari compiled the Diwan Lughat al-Turk.

  • Genghis Khan's campaigns reached Otrar in 1218–1219; the Golden Horde emerged from the Jochi ulus in the 13th c.

  • Kazakh Khanate: founded 1465–1466 by Kerey and Zhanibek in the Zhetysu; Ablai Khan (18th c.) pursued a policy between Russia and China.

  • Russian colonial period: 1731 Junior Zhuz protectorate, 1822 'Charter on Siberian Kirghiz', 1868 and 1891 reforms abolished khanate rule; 1916 Central Asian revolt triggered by conscription decrees.

  • Soviet era: 1920 Kirghiz ASSR, 1925 renamed Kazakh ASSR, 1936 Kazakh SSR; 1986 December events in Almaty; 16 December 1991 state independence; 1993 first constitution, 1995 current constitution; 1997 capital moved to Astana.

Quick reference

Profile Subject 1 (first elective discipline)

  • Treat this section as the candidate's declared first elective (commonly Mathematics, Physics, Biology, Chemistry, Geography, World History, Foreign Language or Kazakh language/literature); confirm the code on the official UNT specification before revising.

  • Elective scoring is per-item and contributes to the profile total; the two profile subjects carry more weight than the three compulsory ones in competitive admission.

  • For science electives: write units in every calculation, check significant figures, and eliminate options by dimensional analysis first.

  • For language electives: grammar items test agreement, tense sequence, articles and prepositions; reading items test inference, not literal copying.

  • For history/geography electives: anchor dates and place names to a timeline or map - recall is faster with spatial or chronological hooks.

  • Multi-step items: write the given values, the required quantity and the formula before substituting numbers.

Quick reference

Profile Subject 2 (second elective discipline)

  • This is the second declared elective; it must differ from Profile Subject 1 in the UNT combination chosen.

  • Common pairings: Mathematics + Physics, Biology + Chemistry, Geography + World History, Foreign Language + History.

  • Budget time per item: profile sections reward accuracy on standard tasks more than attempts at the hardest item.

  • For paired science subjects, reuse shared tools - mole calculations, graphs, unit conversion - across both sections.

  • For humanities pairings, memorise a compact set of turning points, treaties and terms with one defining detail each.

  • Review errors by category (concept, calculation, misreading) rather than by question, so weak categories get targeted revision.

Quick reference

Mathematical Literacy

  • Percent change = (new − old) / old × 100%; a 20% rise then 20% fall leaves 96% of the original value, not 100%.

  • Simple interest I = P·r·t; compound amount A = P(1 + r/n)^(nt) - doubling time ≈ 70/r years for small r in percent.

  • Direct proportion: y/x = constant; inverse proportion: x·y = constant. Test with one data pair before solving.

  • Average speed = total distance ÷ total time; never average two speeds arithmetically unless times are equal.

  • Probability of an event = favourable outcomes ÷ total equally likely outcomes; P(not A) = 1 − P(A); independent events multiply.

  • Area formulas: triangle ½bh, trapezium ½(a+b)h, circle πr²; volume of prism = base area × height, cone/pyramid = ⅓ × base area × height.

  • Scale reading: map distance = real distance × scale factor; convert units first (1 km = 1000 m, 1 m² = 10 000 cm²).

  • Read a chart by checking axis units and starting value; a truncated y-axis exaggerates differences.

  • Rounding rule for estimation items: round inputs to 1–2 significant figures, compute, then compare with answer options.

Quick reference

Reading Literacy

  • Four item types dominate: locating explicit information, interpreting and integrating, reflecting on content/form, and evaluating language.

  • For 'find the detail' items, scan for the key noun or number, then read the whole sentence - distractors reuse the same words in a wrong relation.

  • Main-idea items: the correct option covers the whole passage; wrong options are true but partial, or too broad.

  • Author's purpose is signalled by verbs and structure: describe, explain, persuade, instruct, compare.

  • Inference must be supported by text evidence; an answer needing outside knowledge is a distractor.

  • 'Tone' answers must be justified by word choice (e.g. emotive adjectives, hedges such as 'may', 'arguably').

  • Two-text items: identify agreement and disagreement explicitly; a claim can be shared while the reasoning differs.

  • Vocabulary-in-context: substitute each option into the sentence and keep the one preserving the sentence's logic.

Quick reference

History of Kazakhstan

  • Saka period (1st millennium BCE): Issyk Golden Man (often dated to the 5th–4th c. BCE) found in 1969 near Issyk, Almaty region; the inscription is not fully deciphered.

  • Hunnic era: the state of the Huns formed in the 3rd–2nd c. BCE; Attila's expansion reached Europe in the 5th c. CE.

  • Turkic Khaganate founded 552 CE by Bumin; the Western Turkic Khaganate (603) controlled the Semirechye and Silk Road routes.

  • Karakhanid state (late 10th c.): Islam adopted as state religion; Yusuf Balasaguni wrote Kutadgu Bilig; Mahmud Kashgari compiled the Diwan Lughat al-Turk.

  • Genghis Khan's campaigns reached Otrar in 1218–1219; the Golden Horde emerged from the Jochi ulus in the 13th c.

  • Kazakh Khanate: founded 1465–1466 by Kerey and Zhanibek in the Zhetysu; Ablai Khan (18th c.) pursued a policy between Russia and China.

  • Russian colonial period: 1731 Junior Zhuz protectorate, 1822 'Charter on Siberian Kirghiz', 1868 and 1891 reforms abolished khanate rule; 1916 Central Asian revolt triggered by conscription decrees.

  • Soviet era: 1920 Kirghiz ASSR, 1925 renamed Kazakh ASSR, 1936 Kazakh SSR; 1986 December events in Almaty; 16 December 1991 state independence; 1993 first constitution, 1995 current constitution; 1997 capital moved to Astana.

Quick reference

Profile Subject 1 (first elective discipline)

  • Treat this section as the candidate's declared first elective (commonly Mathematics, Physics, Biology, Chemistry, Geography, World History, Foreign Language or Kazakh language/literature); confirm the code on the official UNT specification before revising.

  • Elective scoring is per-item and contributes to the profile total; the two profile subjects carry more weight than the three compulsory ones in competitive admission.

  • For science electives: write units in every calculation, check significant figures, and eliminate options by dimensional analysis first.

  • For language electives: grammar items test agreement, tense sequence, articles and prepositions; reading items test inference, not literal copying.

  • For history/geography electives: anchor dates and place names to a timeline or map - recall is faster with spatial or chronological hooks.

  • Multi-step items: write the given values, the required quantity and the formula before substituting numbers.

Quick reference

Profile Subject 2 (second elective discipline)

  • This is the second declared elective; it must differ from Profile Subject 1 in the UNT combination chosen.

  • Common pairings: Mathematics + Physics, Biology + Chemistry, Geography + World History, Foreign Language + History.

  • Budget time per item: profile sections reward accuracy on standard tasks more than attempts at the hardest item.

  • For paired science subjects, reuse shared tools - mole calculations, graphs, unit conversion - across both sections.

  • For humanities pairings, memorise a compact set of turning points, treaties and terms with one defining detail each.

  • Review errors by category (concept, calculation, misreading) rather than by question, so weak categories get targeted revision.

Quick reference

Mathematical Literacy

  • Percent change = (new − old) / old × 100%; a 20% rise then 20% fall leaves 96% of the original value, not 100%.

  • Simple interest I = P·r·t; compound amount A = P(1 + r/n)^(nt) - doubling time ≈ 70/r years for small r in percent.

  • Direct proportion: y/x = constant; inverse proportion: x·y = constant. Test with one data pair before solving.

  • Average speed = total distance ÷ total time; never average two speeds arithmetically unless times are equal.

  • Probability of an event = favourable outcomes ÷ total equally likely outcomes; P(not A) = 1 − P(A); independent events multiply.

  • Area formulas: triangle ½bh, trapezium ½(a+b)h, circle πr²; volume of prism = base area × height, cone/pyramid = ⅓ × base area × height.

  • Scale reading: map distance = real distance × scale factor; convert units first (1 km = 1000 m, 1 m² = 10 000 cm²).

  • Read a chart by checking axis units and starting value; a truncated y-axis exaggerates differences.

  • Rounding rule for estimation items: round inputs to 1–2 significant figures, compute, then compare with answer options.

Quick reference

Reading Literacy

  • Four item types dominate: locating explicit information, interpreting and integrating, reflecting on content/form, and evaluating language.

  • For 'find the detail' items, scan for the key noun or number, then read the whole sentence - distractors reuse the same words in a wrong relation.

  • Main-idea items: the correct option covers the whole passage; wrong options are true but partial, or too broad.

  • Author's purpose is signalled by verbs and structure: describe, explain, persuade, instruct, compare.

  • Inference must be supported by text evidence; an answer needing outside knowledge is a distractor.

  • 'Tone' answers must be justified by word choice (e.g. emotive adjectives, hedges such as 'may', 'arguably').

  • Two-text items: identify agreement and disagreement explicitly; a claim can be shared while the reasoning differs.

  • Vocabulary-in-context: substitute each option into the sentence and keep the one preserving the sentence's logic.

Quick reference

History of Kazakhstan

  • Saka period (1st millennium BCE): Issyk Golden Man (often dated to the 5th–4th c. BCE) found in 1969 near Issyk, Almaty region; the inscription is not fully deciphered.

  • Hunnic era: the state of the Huns formed in the 3rd–2nd c. BCE; Attila's expansion reached Europe in the 5th c. CE.

  • Turkic Khaganate founded 552 CE by Bumin; the Western Turkic Khaganate (603) controlled the Semirechye and Silk Road routes.

  • Karakhanid state (late 10th c.): Islam adopted as state religion; Yusuf Balasaguni wrote Kutadgu Bilig; Mahmud Kashgari compiled the Diwan Lughat al-Turk.

  • Genghis Khan's campaigns reached Otrar in 1218–1219; the Golden Horde emerged from the Jochi ulus in the 13th c.

  • Kazakh Khanate: founded 1465–1466 by Kerey and Zhanibek in the Zhetysu; Ablai Khan (18th c.) pursued a policy between Russia and China.

  • Russian colonial period: 1731 Junior Zhuz protectorate, 1822 'Charter on Siberian Kirghiz', 1868 and 1891 reforms abolished khanate rule; 1916 Central Asian revolt triggered by conscription decrees.

  • Soviet era: 1920 Kirghiz ASSR, 1925 renamed Kazakh ASSR, 1936 Kazakh SSR; 1986 December events in Almaty; 16 December 1991 state independence; 1993 first constitution, 1995 current constitution; 1997 capital moved to Astana.

Quick reference

Profile Subject 1 (first elective discipline)

  • Treat this section as the candidate's declared first elective (commonly Mathematics, Physics, Biology, Chemistry, Geography, World History, Foreign Language or Kazakh language/literature); confirm the code on the official UNT specification before revising.

  • Elective scoring is per-item and contributes to the profile total; the two profile subjects carry more weight than the three compulsory ones in competitive admission.

  • For science electives: write units in every calculation, check significant figures, and eliminate options by dimensional analysis first.

  • For language electives: grammar items test agreement, tense sequence, articles and prepositions; reading items test inference, not literal copying.

  • For history/geography electives: anchor dates and place names to a timeline or map - recall is faster with spatial or chronological hooks.

  • Multi-step items: write the given values, the required quantity and the formula before substituting numbers.

Quick reference

Profile Subject 2 (second elective discipline)

  • This is the second declared elective; it must differ from Profile Subject 1 in the UNT combination chosen.

  • Common pairings: Mathematics + Physics, Biology + Chemistry, Geography + World History, Foreign Language + History.

  • Budget time per item: profile sections reward accuracy on standard tasks more than attempts at the hardest item.

  • For paired science subjects, reuse shared tools - mole calculations, graphs, unit conversion - across both sections.

  • For humanities pairings, memorise a compact set of turning points, treaties and terms with one defining detail each.

  • Review errors by category (concept, calculation, misreading) rather than by question, so weak categories get targeted revision.

Quick reference

Mathematical Literacy

  • Percent change = (new − old) / old × 100%; a 20% rise then 20% fall leaves 96% of the original value, not 100%.

  • Simple interest I = P·r·t; compound amount A = P(1 + r/n)^(nt) - doubling time ≈ 70/r years for small r in percent.

  • Direct proportion: y/x = constant; inverse proportion: x·y = constant. Test with one data pair before solving.

  • Average speed = total distance ÷ total time; never average two speeds arithmetically unless times are equal.

  • Probability of an event = favourable outcomes ÷ total equally likely outcomes; P(not A) = 1 − P(A); independent events multiply.

  • Area formulas: triangle ½bh, trapezium ½(a+b)h, circle πr²; volume of prism = base area × height, cone/pyramid = ⅓ × base area × height.

  • Scale reading: map distance = real distance × scale factor; convert units first (1 km = 1000 m, 1 m² = 10 000 cm²).

  • Read a chart by checking axis units and starting value; a truncated y-axis exaggerates differences.

  • Rounding rule for estimation items: round inputs to 1–2 significant figures, compute, then compare with answer options.

Quick reference

Reading Literacy

  • Four item types dominate: locating explicit information, interpreting and integrating, reflecting on content/form, and evaluating language.

  • For 'find the detail' items, scan for the key noun or number, then read the whole sentence - distractors reuse the same words in a wrong relation.

  • Main-idea items: the correct option covers the whole passage; wrong options are true but partial, or too broad.

  • Author's purpose is signalled by verbs and structure: describe, explain, persuade, instruct, compare.

  • Inference must be supported by text evidence; an answer needing outside knowledge is a distractor.

  • 'Tone' answers must be justified by word choice (e.g. emotive adjectives, hedges such as 'may', 'arguably').

  • Two-text items: identify agreement and disagreement explicitly; a claim can be shared while the reasoning differs.

  • Vocabulary-in-context: substitute each option into the sentence and keep the one preserving the sentence's logic.

Quick reference

History of Kazakhstan

  • Saka period (1st millennium BCE): Issyk Golden Man (often dated to the 5th–4th c. BCE) found in 1969 near Issyk, Almaty region; the inscription is not fully deciphered.

  • Hunnic era: the state of the Huns formed in the 3rd–2nd c. BCE; Attila's expansion reached Europe in the 5th c. CE.

  • Turkic Khaganate founded 552 CE by Bumin; the Western Turkic Khaganate (603) controlled the Semirechye and Silk Road routes.

  • Karakhanid state (late 10th c.): Islam adopted as state religion; Yusuf Balasaguni wrote Kutadgu Bilig; Mahmud Kashgari compiled the Diwan Lughat al-Turk.

  • Genghis Khan's campaigns reached Otrar in 1218–1219; the Golden Horde emerged from the Jochi ulus in the 13th c.

  • Kazakh Khanate: founded 1465–1466 by Kerey and Zhanibek in the Zhetysu; Ablai Khan (18th c.) pursued a policy between Russia and China.

  • Russian colonial period: 1731 Junior Zhuz protectorate, 1822 'Charter on Siberian Kirghiz', 1868 and 1891 reforms abolished khanate rule; 1916 Central Asian revolt triggered by conscription decrees.

  • Soviet era: 1920 Kirghiz ASSR, 1925 renamed Kazakh ASSR, 1936 Kazakh SSR; 1986 December events in Almaty; 16 December 1991 state independence; 1993 first constitution, 1995 current constitution; 1997 capital moved to Astana.

Quick reference

Profile Subject 1 (first elective discipline)

  • Treat this section as the candidate's declared first elective (commonly Mathematics, Physics, Biology, Chemistry, Geography, World History, Foreign Language or Kazakh language/literature); confirm the code on the official UNT specification before revising.

  • Elective scoring is per-item and contributes to the profile total; the two profile subjects carry more weight than the three compulsory ones in competitive admission.

  • For science electives: write units in every calculation, check significant figures, and eliminate options by dimensional analysis first.

  • For language electives: grammar items test agreement, tense sequence, articles and prepositions; reading items test inference, not literal copying.

  • For history/geography electives: anchor dates and place names to a timeline or map - recall is faster with spatial or chronological hooks.

  • Multi-step items: write the given values, the required quantity and the formula before substituting numbers.

Quick reference

Profile Subject 2 (second elective discipline)

  • This is the second declared elective; it must differ from Profile Subject 1 in the UNT combination chosen.

  • Common pairings: Mathematics + Physics, Biology + Chemistry, Geography + World History, Foreign Language + History.

  • Budget time per item: profile sections reward accuracy on standard tasks more than attempts at the hardest item.

  • For paired science subjects, reuse shared tools - mole calculations, graphs, unit conversion - across both sections.

  • For humanities pairings, memorise a compact set of turning points, treaties and terms with one defining detail each.

  • Review errors by category (concept, calculation, misreading) rather than by question, so weak categories get targeted revision.