ISSB - Pak Army Officer Selection Mathematics Geometry — Set 2

ISSB - Pak Army Officer Selection Mathematics Geometry — Set 2

1. Question 1

   Q1. Perimeter of rectangle 10 by 4:

   • A) 14
   • B) 28
   • C) 40
   • D) 20

   Answer: 28

   Explanation: Perimeter is 2 times length plus breadth. 2 times 14 equals 28.

2. Question 2

   Q2. Area of triangle base 12 height 5:

   • A) 30
   • B) 60
   • C) 17
   • D) 25

   Answer: 30

   Explanation: Area is half base times height. Half of 60 is 30. Work each step carefully; ISSB math rewards accuracy under time pressure.

3. Question 3

   Q3. Circumference diameter 14 (pi=22/7):

   • A) 22
   • B) 44
   • C) 28
   • D) 88

   Answer: 44

   Explanation: Circumference is pi times diameter. 22/7 times 14 equals 44. Work each step carefully; ISSB math rewards accuracy under time pressure.

4. Question 4

   Q4. Area of circle radius 7 (pi=22/7):

   • A) 44
   • B) 154
   • C) 88
   • D) 22

   Answer: 154

   Explanation: Area is pi r squared. 22/7 times 49 equals 154. Work each step carefully; ISSB math rewards accuracy under time pressure.

5. Question 5

   Q5. Area of rectangle 8 cm by 5 cm?

   • A) 13 cm²
   • B) 26 cm²
   • C) 40 cm²
   • D) 80 cm²

   Answer: 40 cm²

   Explanation: Area equals length times width so 8 times 5 is 40 square cm.

6. Question 6

   Q6. Circumference of circle radius 7 cm? (π = 22/7)

   • A) 22 cm
   • B) 44 cm
   • C) 154 cm
   • D) 49 cm

   Answer: 44 cm

   Explanation: Circumference is 2πr so 2 times 22/7 times 7 equals 44 cm.

7. Question 7

   Q7. Area of triangle base 10 cm height 6 cm?

   • A) 30 cm²
   • B) 60 cm²
   • C) 16 cm²
   • D) 20 cm²

   Answer: 30 cm²

   Explanation: Triangle area is half base times height so 0.5 times 60 is 30.

8. Question 8

   Q8. Volume of cube side 3 cm?

   • A) 9 cm³
   • B) 18 cm³
   • C) 27 cm³
   • D) 81 cm³

   Answer: 27 cm³

   Explanation: Volume is side cubed so 3 times 3 times 3 equals 27.

9. Question 9

   Q9. Diagonal of square side 5 cm? (approx)

   • A) 5 cm
   • B) 7.07 cm
   • C) 10 cm
   • D) 12.5 cm

   Answer: 7.07 cm

   Explanation: Diagonal is side times root 2 so about 7.07 cm. Work each step carefully; ISSB math rewards accuracy under time pressure.

10. Question 10

    Q10. Perimeter of square side 9 cm?

    • A) 18 cm
    • B) 27 cm
    • C) 36 cm
    • D) 81 cm

    Answer: 36 cm

    Explanation: Perimeter is four times side so 4 times 9 is 36 cm.

11. Question 11

    Q11. Area of circle radius 7? (π=22/7)

    • A) 44 cm²
    • B) 154 cm²
    • C) 308 cm²
    • D) 49 cm²

    Answer: 154 cm²

    Explanation: Area πr² equals 22/7 times 49 which is 154 square cm. Work each step carefully; ISSB math rewards accuracy under time pressure.

12. Question 12

    Q12. Volume of cuboid 4×5×6 cm³?

    • A) 60
    • B) 100
    • C) 120
    • D) 150

    Answer: 120

    Explanation: Volume equals 4 times 5 times 6 which is 120. Work each step carefully; ISSB math rewards accuracy under time pressure.

13. Question 13

    Q13. Hypotenuse of right triangle legs 3 and 4?

    • A) 5
    • B) 6
    • C) 7
    • D) 12

    Answer: 5

    Explanation: By Pythagoras 3 squared plus 4 squared equals 25 so hypotenuse 5.

14. Question 14

    Q14. Surface area of cube side 3?

    • A) 27
    • B) 36
    • C) 54
    • D) 81

    Answer: 54

    Explanation: Six faces each 9 gives surface area 54. Work each step carefully; ISSB math rewards accuracy under time pressure.

15. Question 15

    Q15. Area of circle radius 5 cm? (π = 3.14)

    • A) 31.4 cm²
    • B) 78.5 cm²
    • C) 15.7 cm²
    • D) 25 cm²

    Answer: 78.5 cm²

    Explanation: Area is πr² so 3.14 times 25 equals 78.5 square cm. Work each step carefully; ISSB math rewards accuracy under time pressure.

16. Question 16

    Q16. Hypotenuse of right triangle legs 6 and 8?

    • A) 9
    • B) 10
    • C) 12
    • D) 14

    Answer: 10

    Explanation: By Pythagoras 36 plus 64 equals 100 so hypotenuse is 10. Work each step carefully; ISSB math rewards accuracy under time pressure.

17. Question 17

    Q17. Surface area of cube side 4 cm?

    • A) 64 cm²
    • B) 80 cm²
    • C) 96 cm²
    • D) 128 cm²

    Answer: 96 cm²

    Explanation: Six faces each 16 square cm gives total 96 square cm. Work each step carefully; ISSB math rewards accuracy under time pressure.

18. Question 18

    Q18. Area of parallelogram base 12 cm height 5 cm?

    • A) 30 cm²
    • B) 40 cm²
    • C) 50 cm²
    • D) 60 cm²

    Answer: 60 cm²

    Explanation: Area equals base times height so 12 times 5 is 60. Work each step carefully; ISSB math rewards accuracy under time pressure.

19. Question 19

    Q19. Radius of circle area 154 cm²? (π = 22/7)

    • A) 5 cm
    • B) 6 cm
    • C) 7 cm
    • D) 8 cm

    Answer: 7 cm

    Explanation: Area πr² equals 154 so r squared is 49 and r is 7.

20. Question 20

    Q20. Length of rectangle area 48 cm² width 6 cm?

    • A) 6 cm
    • B) 7 cm
    • C) 8 cm
    • D) 9 cm

    Answer: 8 cm

    Explanation: Length equals area divided by width so 48 divided by 6 is 8.