Sainik School Math Model Practice Paper

Total Questions: 20 | Total Marks: 60 | Time: 45 Minutes

Part 1: Number System & Logic

1. What is the difference between the place value and face value of the digit 8 in the number 9,83,425?

(a) 80,000

(b) 79,992

(c) 8,000

(d) 7,992

2. Which of the following is the smallest prime number?

(a) 0

(b) 1

(c) 2

(d) 3

3. Write the Roman Numeral for 99:

(a) IC

(b) XCIX

(c) LXXXXIX

(d) CIX

4. Find the HCF of 24, 36, and 60:

(a) 6

(b) 8

(c) 12

(d) 24

5. Simplify using BODMAS: 45 ÷ 5 × 3 + (12 - 7)

(a) 32

(b) 14

(c) 27

(d) 30ShutterstockExplore

Part 2: Fractions, Decimals & Percentages

6. Convert the improper fraction 17/5 into a mixed fraction:

(a) 2 and 7/5

(b) 3 and 2/5

(c) 5 and 2/3

(d) 3 and 1/5

7. Solve: 0.05 × 0.2

(a) 0.1

(b) 0.01

(c) 0.001

(d) 0.052

8. Express 75% as a fraction in its simplest form:

(a) 1/4

(b) 1/2

(c) 3/4

(d) 2/3

9. What is 15% of 600?

(a) 60

(b) 90

(c) 100

(d) 120

Part 3: Commercial Math

10. A shopkeeper buys a chair for ₹500 and sells it for ₹575. Find his profit percentage:

(a) 15%

(b) 10%

(c) 12%

(d) 20%

11. Find the Simple Interest on ₹2000 at a rate of 5% per annum for 3 years:

(a) ₹100

(b) ₹300

(c) ₹600

(d) ₹150

12. If 12 pens cost ₹144, what is the cost of 5 pens?

(a) ₹60

(b) ₹72

(c) ₹50

(d) ₹80

Part 4: Geometry & Mensuration

13. What is the measure of a supplementary angle to 125°?

(a) 55°

(b) 65°

(c) 180°

(d) 90°ShutterstockExplore

14. A triangle with all three sides equal is called:

(a) Isosceles triangle

(b) Scalene triangle

(c) Equilateral triangle

(d) Right-angled triangleShutterstockExplore

15. Find the perimeter of a rectangle whose length is 15 cm and breadth is 10 cm:

(a) 25 cm

(b) 150 cm

(c) 50 cm

(d) 30 cm

16. Find the area of a square whose side is 12 m:

(a) 48 sq. m

(b) 144 sq. m

(c) 24 sq. m

(d) 120 sq. mShutterstockExplore

Part 5: Speed, Time & Average

17. A car travels 240 km in 4 hours. What is its speed in km/hr?

(a) 40 km/hr

(b) 50 km/hr

(c) 60 km/hr

(d) 80 km/hr

18. Find the average of the first five prime numbers (2, 3, 5, 7, 11):

(a) 5.6

(b) 5.0

(c) 4.2

(d) 6.4

19. How many minutes are there in 3 hours and 20 minutes?

(a) 180 minutes

(b) 200 minutes

(c) 220 minutes

(d) 150 minutes

20. Convert 72 km/hr into m/s:

(a) 10 m/s

(b) 20 m/s

(c) 25 m/s

(d) 30 m/s

Answer Key

Q. NoAnsQ. NoAnsQ. NoAns
1(b)8(c)15(c)
2(c)9(b)16(b)
3(b)10(a)17(c)
4(c)11(b)18(a)
5(a)12(a)19(b)
6(b)13(a)20(b)
7(b)14(c)

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