AISSEE 2026: Sainik School Class 6 Mathematics Model Test Paper (Solved)

For students appearing for the All India Sainik Schools Entrance Examination (AISSEE), Mathematics is the most important section. It consists of 50 questions worth 3 marks each, making a total of 150 marks out of the 300-mark paper.

To score high, you need to master concepts like the Number System, Commercial Math, and Geometry. Below is a high-yield model paper designed to test your preparation for the 2026 entrance exam.

Mathematics Model Practice Paper

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

Section 1: Number System & Simplification

1. What is the difference between the place value and face value of '7' in the number 5,72,843?

(a) 70,000

(b) 69,993

(c) 7,000

(d) 6,993

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

(a) 0

(b) 1

(c) 2

(d) 3

3. The HCF of 12, 18, and 24 is:

(a) 2

(b) 4

(c) 6

(d) 12

4. Solve using the BODMAS rule: $20 + [15 - \{5 + (8 - 3)\}]$

(a) 25

(b) 30

(c) 35

(d) 20

5. Write the Roman Numeral for 98:

(a) XCVIII

(b) LXXXVIII

(c) IC

(d) CVIII

Section 2: Fractions, Decimals & Percentages

6. Convert the fraction 4/5 into a percentage:

(a) 40%

(b) 60%

(c) 80%

(d) 100%

7. What is the decimal equivalent of 7/25?

(a) 0.7

(b) 0.28

(c) 0.14

(d) 0.35

8. What is 20% of 800?

(a) 160

(b) 80

(c) 200

(d) 120

9. Solve: $0.5 \times 0.05$

(a) 0.25

(b) 0.025

(c) 0.0025

(d) 0.55

Section 3: Commercial Math & Average

10. If 15 notebooks cost ₹450, what is the cost of 8 notebooks?

(a) ₹240

(b) ₹300

(c) ₹150

(d) ₹320

11. A shopkeeper buys a toy for ₹200 and sells it for ₹250. Find his profit percentage:

(a) 20%

(b) 25%

(c) 15%

(d) 50%

12. Find the average of the first five odd natural numbers (1, 3, 5, 7, 9):

(a) 3

(b) 4

(c) 5

(d) 6

13. A car covers 180 km in 3 hours. Its speed in m/s is:

(a) 60 m/s

(b) 30 m/s

(c) 16.67 m/s

(d) 20 m/s

Section 4: Geometry & Mensuration

14. What is the measure of a supplementary angle to 115°?

(a) 65°

(b) 75°

(c) 180°

(d) 90°

15. A triangle with two equal sides is called an:

(a) Equilateral triangle

(b) Isosceles triangle

(c) Scalene triangle

(d) Right-angled triangle

16. Find the perimeter of a rectangle whose length is 12 cm and breadth is 8 cm:

(a) 20 cm

(b) 40 cm

(c) 96 cm

(d) 48 cm

17. Find the area of a square whose side is 15 m:

(a) 60 sq m

(b) 150 sq m

(c) 225 sq m

(d) 30 sq m

Section 5: Advanced Logic

18. The sum of the smallest 4-digit number and the largest 3-digit number is:

(a) 1999

(b) 1099

(c) 2000

(d) 1000

19. Which of the following is divisible by 3?

(a) 124

(b) 258

(c) 412

(d) 551

20. How many minutes are there in 2 hours and 15 minutes?

(a) 120 minutes

(b) 135 minutes

(c) 150 minutes

(d) 215 minutes

Answer Key

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

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