Q1. A square park has a perimeter of 96 m. What is its area?
A) 144 m² B) 324 m² C) 576 m² D) 625 m²
Q2. A rectangular field has length 24 m and breadth 18 m. Find its perimeter.
A) 72 m B) 84 m C) 96 m D) 108 m
Q3. The length of a rectangle is twice its breadth. If perimeter = 60 m, find area.
A) 160 m² B) 180 m² C) 200 m² D) 240 m²
Q4. A floor of size 8 m by 6 m is to be tiled with square tiles of side 40 cm. How many tiles are needed?
A) 300 B) 240 C) 400 D) 200
Q5. The sum of two numbers is 72 and their HCF is 12. What is their LCM?
A) 288 B) 360 C) 432 D) 480
Q6. The product of two numbers is 504 and their HCF is 12. Find their LCM.
A) 42 B) 48 C) 56 D) 60
Q7. The length of a square garden is increased by 20 percent. Its area increases by –
A) 20 percent B) 36 percent C) 44 percent D) 40 percent
Q8. The sum of two consecutive even numbers is 74. Find the numbers.
A) 36 and 38 B) 38 and 40 C) 40 and 42 D) 34 and 36
Q9. The breadth of a rectangle is 3 m less than its length. If area = 154 m², find length.
A) 11 m B) 12 m C) 13 m D) 14 m
Q10. The perimeter of a rectangular garden is 50 m and its length is 15 m. Find its area.
A) 150 m² B) 160 m² C) 175 m² D) 180 m²
Q11. If 3x + 5 = 20, what is the value of x?
A) 4 B) 5 C) 6 D) 7
Q12. Solve for x: 4x – 7 = 13.
A) 3 B) 4 C) 5 D) 6
Q13. The sum of three consecutive odd numbers is 45. Find the smallest.
A) 13 B) 15 C) 17 D) 19
Q14. The ratio of two numbers is 3 : 4 and their LCM = 84. Find HCF.
A) 7 B) 6 C) 5 D) 4
Q15. If 5x + 2 = 22, find x.
A) 3 B) 4 C) 5 D) 6
Q16. A piece of wire 44 cm long is bent into a square. Find the area enclosed.
A) 100 cm² B) 110 cm² C) 121 cm² D) 144 cm²
Q17. Find the area of a rectangle whose diagonal is 25 m and one side = 20 m.
A) 150 m² B) 200 m² C) 240 m² D) 300 m²
Q18. The perimeter of a square field is equal to that of a rectangle of length 30 m and breadth 20 m. Find the side of the square.
A) 25 m B) 30 m C) 35 m D) 40 m
Q19. A number divided by 7 gives remainder 5. What will be the remainder when the same number is divided by 14?
A) 3 B) 5 C) 7 D) 12
Q20. Two pipes fill a tank in 6 hours and 8 hours respectively. Find the time taken together.
A) 3.2 h B) 3.4 h C) 3.6 h D) 3.8 h
Q21. The difference between two numbers is 18 and their LCM = 180. If one number is 45, find the other.
A) 27 B) 63 C) 72 D) 90
Q22. A square field and a rectangular field have equal areas. If side of square = 24 m and breadth of rectangle = 18 m, find length of rectangle.
A) 28 m B) 30 m C) 32 m D) 36 m
Q23. The sum of two fractions is 5/6 and one of them is 1/3. Find the other.
A) 1/2 B) 1/4 C) 1/6 D) 2/3
Q24. Multiply 7/9 and 3/7.
A) 3/9 B) 1/3 C) 2/3 D) 1/7
Q25. Divide 9/10 by 3/5.
A) 1/2 B) 3/2 C) 5/6 D) 3/4
Q26. A rectangular field is 60 m long and 40 m wide. A path 5 m wide is built inside along its boundary. Find the area of the path.
A) 450 m² B) 500 m² C) 550 m² D) 600 m²
Q27. The sum of the digits of a two-digit number is 9. If reversing digits makes the number 27 less, find the number.
A) 36 B) 45 C) 54 D) 63
Q28. A square and a rectangle have equal perimeters. If side of square = 14 cm and breadth of rectangle = 10 cm, find its length.
A) 14 cm B) 16 cm C) 18 cm D) 20 cm
Q29. The side of a square increases from 8 cm to 12 cm. Find the ratio of their areas.
A) 2 : 3 B) 4 : 9 C) 9 : 16 D) 16 : 9
Q30. The LCM of two numbers is 168 and HCF is 12. If one number is 24, find the other.
A) 48 B) 72 C) 84 D) 96
Q31. The perimeter of a rectangle is 100 m and its length = 30 m. Find its breadth.
A) 15 m B) 20 m C) 25 m D) 30 m
Q32. A man bought 2 pens at Rs x each and 3 pencils at Rs (x – 2) each. If total cost = Rs 36, find x.
A) 6 B) 7 C) 8 D) 9
Q33. The sum of the reciprocals of two numbers is 1/3 and product = 18. Find the numbers.
A) 3 and 6 B) 6 and 12 C) 9 and 18 D) 2 and 3
Q34. A number is 5 more than twice another number. If their sum is 35, find the numbers.
A) 10 and 25 B) 12 and 23 C) 15 and 20 D) 8 and 27
Q35. A farmer has a rectangular plot 50 m by 40 m. He builds a 2 m wide path outside the plot. Find the area of the path.
A) 376 m² B) 360 m² C) 340 m² D) 420 m²
Q36. A square has area 196 m². Find its perimeter.
A) 48 m B) 52 m C) 56 m D) 60 m
Q37. Find the value of x if (3/4)x = 9.
A) 9 B) 10 C) 11 D) 12
Q38. The perimeter of a rectangular garden is 74 m and its breadth is 15 m. Find its area.
A) 400 m² B) 440 m² C) 480 m² D) 520 m²
Q39. The difference of two fractions is 1/6. If one fraction is 5/12, find the other.
A) 3/4 B) 1/4 C) 7/12 D) 1/2
Q40. If 2x + 5 = 3x – 4, find x.
A) 7 B) 8 C) 9 D) 10
Q41. The sum of three consecutive even numbers is 48. Find the numbers.
A) 14, 16, 18 B) 16, 18, 20 C) 12, 14, 16 D) 10, 12, 14
Q42. The area of a square is 324 m². Find its diagonal.
A) 18 m B) 24 m C) 25.4 m D) 27 m
Q43. The ratio of length and breadth of a rectangle is 5 : 3 and its area = 240 m². Find its perimeter.
A) 64 m B) 80 m C) 96 m D) 100 m
Q44. A number divided by 3 gives quotient 20 and remainder 2. Find the number.
A) 60 B) 62 C) 65 D) 68
Q45. 5x – 3 = 2x + 9. Find x.
A) 2 B) 3 C) 4 D) 5
Q46. A two-digit number is 4 times the sum of its digits. If reversing digits gives 27 less, find the number.
A) 36 B) 48 C) 64 D) 72
Q47. A square plot has area 225 m². A rectangular plot of same perimeter has breadth 10 m. Find its length.
A) 15 m B) 20 m C) 25 m D) 30 m
Q48. The HCF of two numbers is 18 and their LCM = 180. If one number is 36, find the other.
A) 45 B) 72 C) 90 D) 100
Q49. A train travels 360 km in 4.5 hours. Find its speed.
A) 70 km/h B) 72 km/h C) 80 km/h D) 90 km/h
Q50. The difference between the square of a number and the number itself is 56. Find the number.
A) 6 B) 7 C) 8 D) 9