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Suneung-style Maths Algebra Questions
Practise algebra (mathematics) for the Korean CSAT (Suneung)-style Mathematics practice: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Algebra practice
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Q1.Find the sum of the first 23 terms of the AP 13, 19, 25, …
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Answer: D — 1817
Sₙ = n/2 × [2a + (n − 1)d] = 23/2 × [26 + 132] = 1,817.
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Q2.Solve: x² − 4x − 5 = 0
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Answer: D — -1, 5
Find two roots with sum 4 and product -5: 5 and -1. So x² − 4x − 5 = (x − 5)(x + 1) = 0.
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Q3.Solve: x² + x − 2 = 0
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Answer: B — -2, 1
Find two roots with sum -1 and product -2: 1 and -2. So x² + x − 2 = (x − 1)(x + 2) = 0.
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Q4.Find the sum of the first 15 terms of the AP 7, 11, 15, …
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Answer: D — 525
Sₙ = n/2 × [2a + (n − 1)d] = 15/2 × [14 + 56] = 525.
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Q5.Find log₂ 32.
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Answer: B — 5
log_2(32) asks “2 to what power gives 32?” → 2^5 = 32, so the answer is 5.
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Q6.Solve: x + 4y = 33 and 2x + 3y = 21
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Answer: C — x = -3, y = 9
Elimination/substitution gives x = -3, y = 9. Check: 1(-3) + 4(9) = 33 ✓ and 2(-3) + 3(9) = 21 ✓.
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Q7.Find log 10,000 (base 10).
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Answer: C — 4
log_10(10000) asks “10 to what power gives 10000?” → 10^4 = 10000, so the answer is 4.
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Q8.Solve: x² − 6x − 16 = 0
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Answer: A — -2, 8
Find two roots with sum 6 and product -16: -2 and 8. So x² − 6x − 16 = (x + 2)(x − 8) = 0.
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Q9.Find the sum of the first 10 terms of the AP 7, 15, 23, …
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Answer: A — 430
Sₙ = n/2 × [2a + (n − 1)d] = 10/2 × [14 + 72] = 430.
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Q10.Solve: x + 5y = 40 and 4x + 5y = 55
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Answer: A — x = 5, y = 7
Elimination/substitution gives x = 5, y = 7. Check: 1(5) + 5(7) = 40 ✓ and 4(5) + 5(7) = 55 ✓.
How to approach algebra questions
Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution. For simultaneous equations, elimination is usually faster than substitution under time pressure.
About Suneung-style Maths
Korean CSAT (Suneung)-style Mathematics practice — conducted by Practice in the style of the KICE College Scholastic Ability Test; not affiliated. Practice in the style of South Korea’s university entrance maths: sequences, functions and probability.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
Suneung-style Maths practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |