Prepare effectively for the CM Shri School Entrance Test Class 6 Sample Question Paper and Answers-Numerical Aptitude Subject (2025) from tillexam.com. This practice set is designed according to the latest exam pattern and includes questions from all key subjects to help you assess your preparation level. Take this test under timed conditions to simulate the real exam experience, then review your performance with the detailed answer key and explanations provided below. Visit tillexam.com for more mock tests and study materials to boost your confidence before the actual entrance exam.
Section — A (Basic Arithmetic Operations)
1. What is 245 + 138?
a) 383 b) 373 c) 393 d) 363
2. Find the value of 456 — 289:
a) 167 b) 177 c) 157 d) 187
3. What is 24 × 15?
a) 350 b) 360 c) 370 d) 380
4. Divide 144 by 12:
a) 11 b) 12 c) 13 d) 14
5. What is the sum of 89 + 76 + 45?
a) 200 b) 210 c) 220 d) 230
Section — B (Number Systems)
6. Which is the smallest 3‑digit number?
a) 99 b) 100 c) 101 d) 111
7. What is the place value of 7 in 4,752?
a) 7 b) 70 c) 700 d) 7000
8. Round off 567 to the nearest hundred:
a) 500 b) 600 c) 570 d) 560
9. Which number comes between 299 and 301?
a) 298 b) 300 c) 302 d) 297
10. What is the largest 2‑digit number?
a) 98 b) 99 c) 100 d) 90
Section — C (Fractions and Decimals)
11. Which fraction is equal to 1/2?
a) 2/3 b) 2/4 c) 3/4 d) 1/3
12. What is 0.5 as a fraction?
a) 1/2 b) 1/3 c) 1/4 d) 1/5
13. Which is bigger: 3/4 or 1/2?
a) 3/4 b) 1/2 c) Both are equal d) Cannot compare
14. What is 2.5 + 1.3?
a) 3.8 b) 3.7 c) 4.8 d) 3.5
15. Convert 3/5 to decimal:
a) 0.5 b) 0.6 c) 0.7 d) 0.8
Section — D (Measurement and Geometry)
16. How many centimeters are in 1 meter?
a) 10 b) 100 c) 1000 d) 50
17. What is the perimeter of a square with side 5 cm?
a) 15 cm b) 20 cm c) 25 cm d) 10 cm
18. How many sides does a rectangle have?
a) 3 b) 4 c) 5 d) 6
19. What is the area of a rectangle with length 6 cm and width 4 cm?
a) 20 sq cm b) 24 sq cm c) 10 sq cm d) 30 sq cm
20. How many minutes are in 2 hours?
a) 100 b) 110 c) 120 d) 130
Section — E (Data Handling)
21. Look at this data: 5, 8, 3, 9, 5. What is the highest number?
a) 5 b) 8 c) 3 d) 9
22. In the data 2, 4, 6, 8, what is the sum of all numbers?
a) 18 b) 20 c) 22 d) 24
23. How many students like apples if 15 like apples and 10 like oranges?
a) 10 b) 15 c) 25 d) 5
24. If 8 children are boys and 12 are girls, how many children are there in total?
a) 18 b) 20 c) 22 d) 4
25. What is the average of 4, 6, and 8?
a) 5 b) 6 c) 7 d) 8
Section — F (Factors, Multiples & Profit-Loss)
26. What are the factors of 12?
a) 1, 2, 3, 4, 6, 12 b) 1, 2, 4, 12 c) 2, 4, 6, 12 d) 1, 3, 4, 12
27. Which is a multiple of 5?
a) 12 b) 18 c) 25 d) 14
28. If you buy a pen for ₹10 and sell it for ₹12, what is your profit?
a) ₹1 b) ₹2 c) ₹3 d) ₹22
29. What is the smallest multiple of 6?
a) 0 b) 6 c) 12 d) 18
30. If you buy 5 books for ₹50, what is the cost of 1 book?
a) ₹5 b) ₹10 c) ₹15 d) ₹45
Answer Key and Explanations
Section — A (Basic Arithmetic Operations)
1. Answer: a) 383 Explanation: 245 + 138 = 383. Add the numbers column by column: 5+8=13 (write 3, carry 1), 4+3+1=8, 2+1=3.
2. Answer: a) 167 Explanation: 456 — 289 = 167. Subtract column by column with borrowing where needed.
3. Answer: b) 360 Explanation: 24 × 15 = 360. You can calculate: 24 × 10 = 240, 24 × 5 = 120, so 240 + 120 = 360.
4. Answer: b) 12 Explanation: 144 ÷ 12 = 12. This is because 12 × 12 = 144.
5. Answer: b) 210 Explanation: 89 + 76 + 45 = 210. Add step by step: 89 + 76 = 165, then 165 + 45 = 210.
Section — B (Number Systems)
6. Answer: b) 100 Explanation: The smallest 3‑digit number is 100. Numbers with 3 digits start from 100.
7. Answer: c) 700 Explanation: In 4,752, the digit 7 is in the hundreds place, so its place value is 7 × 100 = 700.
8. Answer: b) 600 Explanation: 567 is closer to 600 than to 500, so it rounds to 600.
9. Answer: b) 300 Explanation: The number between 299 and 301 is 300.
10. Answer: b) 99 Explanation: The largest 2‑digit number is 99. After 99 comes 100, which is a 3‑digit number.
Section — C (Fractions and Decimals)
11. Answer: b) 2/4 Explanation: 2/4 = 1/2 when simplified. Both numerator and denominator are divided by 2.
12. Answer: a) 1/2 Explanation: 0.5 = 5/10 = 1/2 when simplified.
13. Answer: a) 3/4 Explanation: 3/4 = 0.75 and 1/2 = 0.5. Since 0.75 > 0.5, therefore 3/4 > 1/2.
14. Answer: a) 3.8 Explanation: 2.5 + 1.3 = 3.8. Add the whole numbers: 2 + 1 = 3, add decimals: 0.5 + 0.3 = 0.8.
15. Answer: b) 0.6 Explanation: 3/5 = 3 ÷ 5 = 0.6.
Section — D (Measurement and Geometry)
16. Answer: b) 100 Explanation: 1 meter = 100 centimeters. This is a standard unit conversion.
17. Answer: b) 20 cm Explanation: Perimeter of square = 4 × side = 4 × 5 = 20 cm.
18. Answer: b) 4 Explanation: A rectangle has 4 sides — 2 lengths and 2 widths.
19. Answer: b) 24 sq cm Explanation: Area of rectangle = length × width = 6 × 4 = 24 sq cm.
20. Answer: c) 120 Explanation: 1 hour = 60 minutes, so 2 hours = 2 × 60 = 120 minutes.
Section — E (Data Handling)
21. Answer: d) 9 Explanation: In the data 5, 8, 3, 9, 5, the highest number is 9.
22. Answer: b) 20 Explanation: 2 + 4 + 6 + 8 = 20.
23. Answer: b) 15 Explanation: The question asks how many students like apples, which is given as 15.
24. Answer: b) 20 Explanation: Total children = boys + girls = 8 + 12 = 20.
25. Answer: b) 6 Explanation: Average = (4 + 6 + 8) ÷ 3 = 18 ÷ 3 = 6.
Section — F (Factors, Multiples & Profit-Loss)
26. Answer: a) 1, 2, 3, 4, 6, 12 Explanation: Factors of 12 are all numbers that divide 12 exactly: 1, 2, 3, 4, 6, and 12.
27. Answer: c) 25 Explanation: 25 is a multiple of 5 because 5 × 5 = 25.
28. Answer: b) ₹2 Explanation: Profit = Selling price — Cost price = ₹12 — ₹10 = ₹2.
29. Answer: b) 6 Explanation: The smallest positive multiple of 6 is 6 itself (6 × 1 = 6).
30. Answer: b) ₹10 Explanation: Cost of 1 book = Total cost ÷ Number of books = ₹50 ÷ 5 = ₹10.
We hope this CM Shri School Entrance Test Class 6 Sample Question Paper and Answers-Numerical Aptitude] Subject (2025) helped you evaluate your preparation and identify areas for improvement. Regular practice with such mock tests is key to building confidence and achieving success in the actual entrance exam. For more practice papers, study materials, and exam resources, keep visiting tillexam.com. Best of luck with your preparation!