SSC CHSL Maths Questions with Answers: Quick Answer
This page gives 20 original SSC CHSL maths questions with answers and full step-by-step solutions. Every question is written for the Quantitative Aptitude section of SSC CHSL Tier 1: 25 questions, 50 marks, 2 marks per question, 0.5 deducted for each wrong answer, with a 15-minute sectional timer inside a 60-minute paper of 100 questions and 200 marks. The level is 10+2, a step above SSC GD, and the topics are the ones the section actually tests: algebra and identities, geometry, trigonometry, mensuration, percentages, ratio and proportion, interest, time and work, speed and distance, number systems and data interpretation.
These 20 questions are original practice questions written for this page. They are not previous-year questions and are not copied from any paper, book or website. They are modelled on the style and difficulty of the CHSL Tier 1 Quantitative Aptitude section, so they work as a timed drill: 20 questions in about 15 minutes matches the sectional timer. Every answer is worked from the numbers in the question, and the working shows the exact step where each answer comes from. As of 2 November 2026, the pattern figures on this page follow the official SSC CHSL scheme described on the syllabus page linked below.
SSC CHSL Quant Formula Box
Keep these ideas in front of you while you work through the questions. Almost every Tier 1 quant question is one of them in disguise.
- Algebra identities: x² + 1/x² = (x + 1/x)² − 2. (x − y)² = (x + y)² − 4xy. (a + b)² = a² + 2ab + b². Recognising the identity is the whole question; expanding from scratch wastes the timer.
- Trigonometry values: sin 30° = cos 60° = 1/2, sin 60° = cos 30° = √3/2, tan 45° = 1, sin 90° = 1. Most CHSL trigonometry questions are substitutions of these five values.
- Geometry: the angles of a triangle add to 180°. In a right-angled triangle, hypotenuse² = base² + perpendicular². The area of a circle is πr²; the volume of a cube is side³.
- Interest: simple interest = P × R × T ÷ 100. The difference between compound and simple interest over 2 years is P × (R ÷ 100)² — one line, no full compound calculation needed.
- Time, work and speed: work done together in (a × b) ÷ (a + b) days. Speed = distance ÷ time, and km/h to m/s means multiplying by 5/18.
- Data interpretation: read the chart before calculating. Totals and averages from a bar chart are additions and divisions, and the question usually asks for only one of them.
Shortcut habit: write the identity or formula before the numbers. In this section the arithmetic is short and the marks are lost on recognition: a missed identity, a forgotten standard angle value, or a percentage taken on the wrong base. One written line per question prevents all three.
Question 1 — Algebra Identity
Q1. If x + 1/x = 6, what is the value of x² + 1/x²?
(A) 36 (B) 32 (C) 38 (D) 34
Answer: (D) 34. x² + 1/x² = (x + 1/x)² − 2 = 6² − 2 = 36 − 2 = 34.
Question 2 — Trigonometry
Q2. What is the value of sin²30° + cos²60°?
(A) 1 (B) 0 (C) 0.5 (D) 0.25
Answer: (C) 0.5. sin 30° = 1/2 and cos 60° = 1/2, so sin²30° + cos²60° = (1/2)² + (1/2)² = 1/4 + 1/4 = 1/2 = 0.5.
Question 3 — Triangle Angles
Q3. The angles of a triangle are in the ratio 2 : 3 : 4. What is the largest angle?
(A) 60° (B) 80° (C) 100° (D) 40°
Answer: (B) 80°. The ratio has 2 + 3 + 4 = 9 parts, and the angles sum to 180°, so one part is 180 ÷ 9 = 20°. The largest angle is 4 × 20° = 80°.
Question 4 — Percentage Increase
Q4. The number 240 is increased by 25%. What is the new number?
(A) 280 (B) 320 (C) 290 (D) 300
Answer: (D) 300. The increase is 25% of 240 = 60, so the new number is 240 + 60 = 300. Equivalently, 240 × 1.25 = 300.
Question 5 — Data Interpretation
Q5. A bar chart shows the number of books sold in four weeks: 40, 60, 50 and 70. What is the total number of books sold?
(A) 220 (B) 210 (C) 230 (D) 200
Answer: (A) 220. Add the four values: 40 + 60 + 50 + 70 = 220 books.
Question 6 — CI and SI Difference
Q6. What is the difference between the compound interest and the simple interest on ₹8,000 at 10% per annum for 2 years?
(A) ₹80 (B) ₹100 (C) ₹60 (D) ₹120
Answer: (A) ₹80. The difference over 2 years is P × (R ÷ 100)² = 8,000 × (0.1)² = 8,000 × 0.01 = ₹80. Check: simple interest is ₹1,600 and compound interest is ₹1,680, and 1,680 − 1,600 = 80.
Question 7 — Time and Work
Q7. A can finish a work in 10 days and B can finish it in 15 days. Working together, in how many days will they finish the work?
(A) 5 days (B) 7 days (C) 6 days (D) 8 days
Answer: (C) 6 days. Together they do 1/10 + 1/15 = 5/30 = 1/6 of the work per day, so the whole work takes 6 days. The shortcut (10 × 15) ÷ (10 + 15) = 150 ÷ 25 = 6 days gives the same result.
Question 8 — Train and Pole
Q8. A 120-metre-long train running at 36 km/h crosses a pole. How long does it take?
(A) 10 seconds (B) 12 seconds (C) 14 seconds (D) 15 seconds
Answer: (B) 12 seconds. The speed in m/s is 36 × 5 ÷ 18 = 10 m/s. Crossing a pole, the train covers its own length: 120 ÷ 10 = 12 seconds.
Question 9 — Circle Area
Q9. What is the area of a circle of radius 7 cm? (Take π = 22/7.)
(A) 144 cm² (B) 164 cm² (C) 154 cm² (D) 174 cm²
Answer: (C) 154 cm². Area = πr² = (22/7) × 7 × 7 = 22 × 7 = 154 cm². The 7 in the radius cancels the 7 in the denominator, which is why 22/7 is the convenient value to use.
Question 10 — Divisibility
Q10. When 738 is divided by 9, what is the remainder?
(A) 1 (B) 3 (C) 6 (D) 0
Answer: (D) 0. A number is divisible by 9 when the sum of its digits is divisible by 9. Here 7 + 3 + 8 = 18, which is divisible by 9, so 738 is divisible by 9 and the remainder is 0.
Question 11 — Ratio
Q11. Three numbers are in the ratio 2 : 3 : 5 and their sum is 100. What is the smallest number?
(A) 15 (B) 25 (C) 20 (D) 30
Answer: (C) 20. The ratio has 2 + 3 + 5 = 10 parts, so one part is 100 ÷ 10 = 10. The smallest number is 2 × 10 = 20.
Question 12 — Average of Consecutive Odd Numbers
Q12. What is the average of 7 consecutive odd numbers starting from 11?
(A) 15 (B) 19 (C) 16 (D) 17
Answer: (D) 17. The numbers are 11, 13, 15, 17, 19, 21 and 23. In any odd count of numbers in arithmetic progression, the average is the middle value, which is the 4th number, 17. Check: the sum is 119 and 119 ÷ 7 = 17.
Question 13 — Algebra
Q13. If x + y = 12 and xy = 20, what is the value of (x − y)²?
(A) 104 (B) 64 (C) 224 (D) 44
Answer: (B) 64. (x − y)² = (x + y)² − 4xy = 12² − 4 × 20 = 144 − 80 = 64.
Question 14 — Profit and Loss
Q14. An article is sold for ₹1,080 at a profit of 20%. What was its cost price?
(A) ₹850 (B) ₹900 (C) ₹950 (D) ₹800
Answer: (B) ₹900. The selling price is 120% of the cost price, so the cost price is 1,080 ÷ 1.2 = ₹900. Check: 20% of 900 is 180, and 900 + 180 = 1,080.
Question 15 — Time and Distance
Q15. A car travels 360 km at a speed of 45 km/h. How long does the journey take?
(A) 7 hours (B) 8 hours (C) 9 hours (D) 6 hours
Answer: (B) 8 hours. Time = distance ÷ speed = 360 ÷ 45 = 8 hours.
Question 16 — Pythagoras
Q16. A rectangle has length 12 cm and breadth 5 cm. What is the length of its diagonal?
(A) 13 cm (B) 12 cm (C) 15 cm (D) 17 cm
Answer: (A) 13 cm. By Pythagoras, diagonal² = 12² + 5² = 144 + 25 = 169, so the diagonal is √169 = 13 cm. The 5-12-13 triple is worth memorising.
Question 17 — Trigonometry
Q17. What is the value of tan 45° + sin 90°?
(A) 2 (B) 1 (C) 0 (D) 3
Answer: (A) 2. tan 45° = 1 and sin 90° = 1, so the sum is 1 + 1 = 2.
Question 18 — Cube Volume
Q18. What is the volume of a cube whose side is 4 cm?
(A) 48 cm³ (B) 56 cm³ (C) 72 cm³ (D) 64 cm³
Answer: (D) 64 cm³. The volume of a cube is side³ = 4 × 4 × 4 = 64 cm³.
Question 19 — Percentage
Q19. What is 18% of 250?
(A) 45 (B) 40 (C) 50 (D) 55
Answer: (A) 45. 18% of 250 = (18 ÷ 100) × 250 = 18 × 2.5 = 45. Working it as 10% = 25 and 8% = 20 gives 25 + 20 = 45.
Question 20 — Probability
Q20. A fair die is rolled once. What is the probability of getting an even number?
(A) 1/3 (B) 2/3 (C) 1/2 (D) 1/6
Answer: (C) 1/2. The even outcomes are 2, 4 and 6, which is 3 out of 6 equally likely outcomes, so the probability is 3 ÷ 6 = 1/2.
How to Use These Questions
More solved sets: SSC CHSL English Questions with Answers: Solved Practice Set.
Attempt all 20 questions in 15 minutes, matching the Tier 1 sectional timer, then mark yourself with the +2/−0.5 scheme: add 2 for each correct answer and subtract 0.5 for each wrong one. A score of 30 or more out of 40 means the section is in good shape; below 24, revisit the formula box and re-attempt the questions you missed. The most common errors in this section are identity slips (question 1 and 13), standard-angle values (question 2 and 17) and unit mistakes (question 8). All three disappear with one written line per question.
- Check the full scheme: SSC CHSL syllabus 2026 — Tier 1 and Tier 2 pattern, 15-minute sectional timers, skill test details.
- Practise profit and loss: SSC CHSL profit and loss questions — 9 official 2025 questions solved step by step.
- Practise reasoning next: SSC CHSL reasoning questions — 20 original reasoning questions for the same paper.
- Check the cut-off picture: SSC CHSL cut off — the cut-off page for the examination.
- Attempt a Tier 2 mock: SSC CHSL Tier 2 mock test 02 — the 120-question merit paper under exam conditions.
SSC CHSL Maths Questions FAQs
How many quant questions are there in SSC CHSL Tier 1?
25 questions in the Quantitative Aptitude section, worth 50 marks out of the paper's 200. The full Tier 1 paper has 100 questions in 60 minutes, with 25 questions each in English, General Intelligence, Quantitative Aptitude and General Awareness, and a 15-minute timer for each section.
What is the marking scheme for CHSL quant questions?
Each question carries 2 marks, and 0.5 marks are deducted for each wrong answer. A blank answer loses nothing. With 25 questions, the section is worth 50 marks before negative marking.
Which quant topics matter most for CHSL?
Algebra and identities, geometry, trigonometry, mensuration, percentages, ratio and proportion, interest, time and work, speed and distance, number systems and data interpretation. The level is 10+2, so identities and standard trigonometry values carry more weight than in SSC GD.
Are these 20 questions from previous-year papers?
No. They are original practice questions written for this page and modelled on the style and level of the Tier 1 Quantitative Aptitude section. For questions taken from official papers, see the SSC CHSL profit and loss questions page, which solves 9 official 2025 questions, and the previous-year paper hub linked from the syllabus page.
How should I time the quant section in the real exam?
Aim for about 15 minutes for the 25 quant questions, matching the sectional timer. Attempt the questions you can solve in under a minute first, mark the longer ones, and return to them only after the rest of the section is done. The sectional timer moves on whether or not you have finished, so do not let one question consume the section.
Sources
- SSC CHSL Examination scheme: Tier 1 with 100 questions, 200 marks, 60 minutes, 15-minute sectional timers, +2/−0.5 marking, as described on this site's SSC CHSL syllabus 2026 page, which follows the official SSC notice.
- All 20 questions, options and solutions on this page are original and were written for this page. Every numerical answer was computed from the numbers in its own question stem.
Last checked: 2 November 2026.