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Suneung-style Maths Mock Test
A timed 25-question mock for the Korean CSAT (Suneung)-style Mathematics practice covering algebra, probability & combinatorics, geometry & mensuration. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
Suneung-style Maths mock test
25 questions · 1 mark each · the timer starts with your first answer and the test submits itself when time runs out.
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Q1.AlgebraSolve: 4x + 5y = 56 and 5x + y = 7
Answer: D — x = -1, y = 12
Elimination/substitution gives x = -1, y = 12. Check: 4(-1) + 5(12) = 56 ✓ and 5(-1) + 1(12) = 7 ✓.
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Q2.Probability & CombinatoricsIn how many ways can the letters of the word TABLE be arranged?
Answer: B — 120
All 5 letters are different, so arrangements = 5! = 120.
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Q3.Geometry & MensurationFind the distance between (0, 4) and (5, 16).
Answer: C — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q4.AlgebraFind the sum of the first 18 terms of the AP 8, 15, 22, …
Answer: A — 1215
Sₙ = n/2 × [2a + (n − 1)d] = 18/2 × [16 + 119] = 1,215.
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Q5.Probability & CombinatoricsIn how many ways can a committee of 2 be chosen from 11 people?
Answer: B — 55
Order does not matter → combinations: 11C2 = 11! / (2!·9!) = 55.
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Q6.Geometry & MensurationFind the distance between (-2, 1) and (4, 9).
Answer: D — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
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Q7.AlgebraSolve: x² + 17x + 72 = 0
Answer: A — -9, -8
Find two roots with sum -17 and product 72: -9 and -8. So x² + 17x + 72 = (x + 9)(x + 8) = 0.
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Q8.Probability & CombinatoricsA card is drawn from a well-shuffled deck of 52. What is the probability that it is an ace or a king?
Answer: C — 2/13
There are 8 such cards in 52, so P = 8/52 = 2/13.
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Q9.Geometry & MensurationFind the volume of a cone with radius 10 cm and height 7 cm.
Answer: A — 733.04 cm³
Using ⅓πr²h with π = 3.1416: 733.04 cm³.
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Q10.AlgebraSolve: x² + 3x + 2 = 0
Answer: A — -2, -1
Find two roots with sum -3 and product 2: -2 and -1. So x² + 3x + 2 = (x + 2)(x + 1) = 0.
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Q11.Probability & CombinatoricsIn how many ways can a committee of 3 be chosen from 7 people?
Answer: D — 35
Order does not matter → combinations: 7C3 = 7! / (3!·4!) = 35.
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Q12.Geometry & MensurationFind the area of a right triangle with legs 5 cm and 12 cm.
Answer: C — 30 cm²
Area = ½ × base × height = ½ × 5 × 12 = 30 cm².
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Q13.AlgebraSolve: x² + 4x − 12 = 0
Answer: B — -6, 2
Find two roots with sum -4 and product -12: 2 and -6. So x² + 4x − 12 = (x − 2)(x + 6) = 0.
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Q14.Probability & CombinatoricsIn how many ways can a committee of 2 be chosen from 12 people?
Answer: B — 66
Order does not matter → combinations: 12C2 = 12! / (2!·10!) = 66.
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Q15.Geometry & MensurationFind the distance between (3, -2) and (11, 13).
Answer: C — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
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Q16.AlgebraFind the sum of the first 11 terms of the AP 13, 20, 27, …
Answer: D — 528
Sₙ = n/2 × [2a + (n − 1)d] = 11/2 × [26 + 70] = 528.
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Q17.Probability & Combinatorics2 fair coins are tossed. What is the probability of at least one head?
Answer: B — 3/4
P(no head) = (1/2)^2 = 1/4; P(at least one head) = 1 − 1/4 = 3/4.
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Q18.Geometry & MensurationA right triangle has legs 3 cm and 4 cm. Find the hypotenuse.
Answer: B — 5 cm
By Pythagoras, hypotenuse = √(3² + 4²) = √25 = 5.
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Q19.AlgebraFind log₂ 8.
Answer: C — 3
log_2(8) asks “2 to what power gives 8?” → 2^3 = 8, so the answer is 3.
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Q20.Probability & CombinatoricsTwo fair dice are thrown. What is the probability that the sum is 7?
Answer: A — 1/6
6 of the 36 equally likely outcomes give a sum of 7, so P = 6/36 = 1/6.
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Q21.Geometry & MensurationFind the volume of a sphere of radius 7 cm.
Answer: A — 1,436.76 cm³
Using (4/3)πr³ with π = 3.1416: 1,436.76 cm³.
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Q22.AlgebraFind the sum of the first 22 terms of the AP 5, 13, 21, …
Answer: A — 1958
Sₙ = n/2 × [2a + (n − 1)d] = 22/2 × [10 + 168] = 1,958.
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Q23.Geometry & MensurationFind the area of a circle of radius 2 cm.
Answer: C — 12.57 cm²
Using πr² with π = 3.1416: 12.57 cm².
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Q24.AlgebraFind log₅ 3,125.
Answer: A — 5
log_5(3125) asks “5 to what power gives 3125?” → 5^5 = 3125, so the answer is 5.
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Q25.Probability & CombinatoricsTwo fair dice are thrown. What is the probability that the sum is 9?
Answer: B — 1/9
4 of the 36 equally likely outcomes give a sum of 9, so P = 4/36 = 1/9.
How the mock test works
- The timer starts with your first answer; the test submits itself when time runs out.
- Choose the negative marking that matches your exam (this test has no negative marking by default — check the official notification).
- After submitting you get your score, accuracy, time taken and a topic-wise breakdown, then every explanation.
- “New mock test” builds another paper — calculation questions get new numbers.
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) |