1. The area of a rectangular classroom is x²-25. Which of the following binomials could represent the length and the width of the room?

2. A sector of a circle of radius 5 cm is recast into a right circular cone of height 4 cm. What is the volume of the resulting cone?

3. The sum of the square of a number and 12 times the number is -27. What is the smaller possible value of this number?

4. Three shirts and Five ties cost Tk. 23. Five shirts and one tie cost Tk. 20. What is the price of one shirt?

5. The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. find the width of the rectangle.

6. Bill and Ben can clean the garage. together in 6 hours. If it takes Bill 10 hours working alone, how long will it take Ben working alone?

7. Kona deposited Tk. 505 into her savings account. If the interest rate of the account is 5% per year, how much interest will she have made after 4 years?

8. An employee's annual salary was increased Tk. 15,000. If her new annual salary now equals Tk. 90,000, what was the percent increase?

9. A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200m. What is the length of the train?

10. If a bookstore owner buys 15 books less for Tk. 900 when the price of each book goes up by Tk. 3, than find the original price of a book.

11. When a positive integer m is divided by another positive integer n. the remainder obtained is 8. If m/n=89.32, What is the value of n?

12. If machine A polishes x units in 12 minutes and machine B polishes 5x units in 40 minutes, in how many minutes will A and B. working together, polish 50x units?

13. There are 5 doors to a lecture room. In how many ways can a student enter the room through a door and leave the room by a different door?

14. What is the annual interest rate on an account that carns Tk. 948 in simple interest over 36 months with an initial deposit of Tk. 7900?

15. What is the greatest common factor of 24 and 64?

16. Jennifer flipped a coin three times and got heads each time. What is the probability that she gets heads on the next flip?

17. If the radius of a circle is tripled, the circumference is

18. If the area of a small pizza is 78.5 in. what size pizza box would best fit the small pizza?

19. Two planes leave the airport at the same time, Minutes later, plane A is 70 miles due north of the airport. How far apart are the two airplanes?

20. A bus picks up a group of tourists at a hotel. The sightseeing bus travels 2 blocks north, 2 blocks east. I block south, 2 blocks east, and 1 block south. Where is the bus in relation to the hotel?

21. Which of the following terms does not describe the number 9?

22. Find the next number in the following pattern: 320, 160, 80, 40,.....

23. The width of a rectangle is 20 cm. the diagonal is 8 cm more than the length. Find the length of the rectangle.

24. Max goes to the gym every fourth day. Ellen's exercise routine is to go every third day. Today is Monday and both Max and Ellen are at the gym. What will the day of the week be the next time they are both at the gym?

25. Wendy has 5 pairs of pants and 8 shirts. How many different combinations can she make with these items?

26. The angle measure of the base angles of an isosceles triangle are represented by x and the vertex angle is 3x + 10. Find the measure of base angle.

27. The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers?

28. The average (arithmetic mean) of x and y is 20. If x = 5 what is the average of x. y and z?

29. Melissa is four times as old as Jim. Pat is 5 years older than Melissa. If Jim is y years old, how old is Pat?

30. The different between the length and breath of rectangle is 23 meter. If its perimeter is 206 meter, then, its area is-

31. If the numerator of a fraction is increased by 2 and the denominator by 1 it becomes 1. Again, if the numerator decreased by 4 and the denominator by 2 it becomes 1/2 Find the fraction.

32. A merchant has 1000 kg of sugar, part of which he sells at 8% and the remaining at 18% profit. He gains 14% on the whole. Find the quantity of sugar that he sold at 18% profit.

33. What is the smallest number of apples that can be distributed equally (without cutting any apple) among 6,10,14 and 18 boys?

34. M is older than N but younger than O. If m, n and o are the ages of M, N and O respectively, then which of the following is true?

35. . In a certain population group, 57% of the people have characteristics, X and 63% have characteristics Y. If every person in the group has at lest what percent of the people have both X and Y?

36. The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly added. The first one is 18 greater than the actual number and the second number added is 13 instead of 33. Find the correct average-

37. At a stationary shop, it costs Tk. 185 for 4 gel-pen, 8 ball -point pens and 1 marker pen and Tk. 315 for 7 gel-pens, 15 ball point pens and 1 marker pen. What would be the cost of 1 gel-pen, 1 ball -point pen and 1 marker pen?

38. A student obtained 60, 75 and 85 marks respectively in 3 monthly examinations in physics and 95 marks in the final examination. The 3 monthly examinations are of equal weightage whereas the final examination is weighted twice as much as monthly examination. What is his average mark physics?

39. Two small circular parks of diameter 16 meter and 12 meter are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park has to occupy the same space as the two small parks?

40. Mr. X had Tk. 1000 in his savings account. Every month in the first week he needs money, so he withdraws Tk. 500, but by the end of the month , he deposits Tk. 750. After how many months, the original amount will grow three times?

41. On a 2 km road, a total of 201 tress are planed on the side of the road at equal distance. How many such trees will be planed on a50 k.m road such that the distance between two consecutive tress is the same as that of the consecutive trees on the 2k.m road?

42. If a:b=4:7 and b:c=5:6 than a:b:c=?

43. If x/y =1/3, then value of$(x^2+y^2)/(x^2-y^2)is-$

44. A person's present age is two - fifth of the age of his mother. After 8 years. he will be one half of the age of his mother . What is the present age of the mother?

45. A square room has a square carpet symmetrically placed in it. This leaves an uncovered area of 9 $mete{r}^2$ The area of the whole romm is 25 $mete{r}^2$ What is the length of the one side the carpet?

46. The angles of a triangle are in the proportion of 1:2:3 and the length of the smallest side is 1 c. what is the length of the longest side of the triangle?

47. An amount of money is invested in a savings account for two years. It increased by Tk. 52.50 in two years. after annual compounding at the rate of 10% per year. What is the amount invested initially?

48. A passenger paid 50% customs duty on accompanied baggage items. He paid another 20% sales tax on the total value of the items plus the custom duty paid. The total custom duty and sales tax is Tk. 350. what is the value of the item custom duty and sales tax?

49. 10² is how many times of (0.01)³ ?

50. In the figure, DE is parallel to BC. If the area of a triangle ADE is half that of trapezoid DECB, what is the ratio of AE to AC?

51. Which of the following is not equal to 0.0675?

52. $2^{12}+2^{12}+2^{12}+2^{12}=?$

53. The perimeter of a rectangle is 200 meters. The breadth is 3/7 part of the length. What is the length?

54. The measurement of a rectangle is 16 feet by 12 feet. What is the area of the smallest circle that can cover this rectangle entirely (so that no part of the rectangle is outside the circle)?

55. The mean of the data set of 1000 items is 5. From each item 3 is subtracted and then each number is multiplied by 2. The new mean will be-

56. A natural number when increased by 12, equals 160 times reciprocal. The number is-

57. In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, then the present age of B is

58. In a family, the father took 1/4 of the cake and had 3 times as much as each of the other members had. The total number of family member is-

59. A man's investment doubles in every 5 years. If he invested Tk. 5,000 in each of the years 2010, 2015, 2020 then what will be the amount received by him in 2025?

60. A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

61. A salesman receives daily wage of Tk. 250 and earns a commission of 15% on all sales he makes. How much taka worth of sales does he need to make in order to bring his total daily income of Tk. 1000?

62. X sells an item to Y at a profit of 28% on his cost and Y sells the same item to Z at a loss of 25% on his cost. If X thus sold the item to Z a Tk. 2 less than the item to X, then what is the cost of the item to X?

63. The interest charged on a loan is ‘P’, per Tk, 1000 for the first quarter (3 months), and 'Q' per Tk. 1000 for each month after the first quarter. How much interest will be charged for the first year on Tk. 10,000?

64. There are two numbers where the sum of twice the first number and thrice the second number is 100. And the sum of thrics the first number and twice the second number is 120. Which is the largest number?

65. The average temperature for the first 4- days of a week is 40.2-degree Celcius and that of the last 4 days is 41.3-degree Celcius If the average temperature for the whole week is 40.6-degree Celcius then the temperature on the fourth day is-

66. A school has a total of 90 students. There are 30 students taking Physics, 25 taking English, and 13 taking both. Approximately what percentage of the students is taking either Physics or English?

67. An employee may claim Tk. 7 for each kilometer when he travels by taxi and Tk. 6 for each kilometer when he drives his own car. If in one week he claimed Tk. 900 for traveling 135 km, how many kilometers did he travel by taxi?

68. In a group of buffaloes and ducks, the number of legs is 24 more than twice the number of heads. What is the number of buffaloes?

69. If (3x+2y)=8 and (2x-2y)=2, then find the value of (4-3x)

70. Present age of Fariha is thrice the present age of Samira who is 20. How many years ago was the age of Fariha five times that of Samira?

71. Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons will be increased by-

72. If a person walks at 14 km/hr instead of 10 km/hr, he can cover 20 km more. The actual distance travelled by him is-

73. A wholesaler bought 1200 radios for Tk. 18 each. The wholesaler sold 60 percent of the radios for Tk. 30 each and the rest for Tk. 15 each. What is the wholesaler's average (arithmetic mean) profit per radio?

74. A box contains 90 nuts each of 100 gm and 100 bolts each of 150 gm. If the entire box weighs 35.5 kg, then find the weight of the empty box.

75. If a rectangle's length and width are both doubled, by what percent is the rectangle's area increased?

76. Income of A is 25% less than B. What percent B's income would be more than A?

77. If 4% of (P + Q) are 8 and P is a positive integer. What is the greatest possible value of Q?

78. The length of one side of a square inscribed in a circle is 2. What is the area of the circle?

79. In a group of 135 persons, 50% people contributed tk. 40 each, 30% contributed Tk. 60 each and the remaining persons contributed Tk. 80. Find the average contribution for the group.

80. A worker earns Tk. 250 on the first day and spends tk. 200 on the second day, earns Tk. 250 on the third day and again spends Tk. 200 on the fourth day and so no. On which day would he have had Tk. 1000?

81. A man deposits certain amount in his bank account. After a few days. he withdraws half of the money deposited and deposits Tk. 500 more. If he has a balance of Tk. 2000 in his bank account, find the amount deposited initially.

82. A shopkeeper has sufficient money to buy 50 books. On reduction in the price of each book by Tk. 4, he could buy 10 books more. How much money does he has?

83. The cost of 9 mangoes and 5 apples is equal to the cost of 7 mangoes and 8 apples. Find the ratio between the cost of 1 mango and the cost of one apple.

84. If 1 is added to the numerator of a fraction, the fraction becomes 1. If 1 is added to the denominator, the fraction becomes $\frac{1}{2}$ Find the fraction.

85. Students of a class stand in a queue. If Ratan is 19th in order from both ends, how many students are there in the queue?

86. $if a^x=b and b^y=a, then find the value of xy$

87. $if a^2 +b^2=45 and ab=18, then \frac{1}{a}+\frac{1}{b}$

88. If the sum of 3 consecutive integer is 210, then the sum of the two smaller integer is-

89. $2^{30}+2^{30}+2^{30}+2^{30}=?$

90. In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets are there?

91. The present age of three persons are in the proportion of 4:7:9. Eight years ago, the sum of their ages was 56 years. The present age of the eldest person is -

92. A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was-

93. Three boys agree to divide a bag of marbles in the following manner. The first boy takes one more than half the marbles. The second takes a third of the number remaining. The third boy finds that he is left with twice as many marbles as the second boy. The original number of marbles is-

94. To fill a tank, 25 buckets of water are required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present capacity?

95. If 3 sides of a triangle are 6 cm, 8 cm, and 10 cm, then the altitude of the triangle, using the largest side as its base, will be-

96. A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. what is the area of the circle?

97. The area of a rectangular field is 52000 sq. meters. This rectangular area has been drawn on a map to the scale 1 cm to 100 m. The length is shown as 3.25 cm on the map. The breadth of the rectangular field in the map is -

98. A square park is surrounded by a path of uniform width 2 meters all around it. The area of the path is 288 sq. meters. Find the perimeter of the park.

99. P and Q started a business in the ratio of 2: 3. After 2 years P left the business but Q continued. After 3 years he had a profit of Tk.26000. What was the profit of P?

100. If the average of 'm' numbers is n2 and that of 'n' numbers is m2, then the average of (m + n) numbers is -

101. If $\frac{x}{(2x+y+z)}=\frac{x}{(x+2y+z)}=\frac{z}{(x+y+2z)}=a$ ,  then find the value of ‘a’ if $(x+y+z)\ne$ 0

102. One third of Aman's marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English?

103. Find the largest number of 5-digits which, when divided by 16, 24, 30 or 36, leaves the same remainder 10 each case.

104. P and Q are two positive integers such that PQ = 64 Which of the following cannot be the value of P +Q?

105. Tk.6000 becomes Tk.7200 in 4 years at a certain rate of simple interest. If the rate becomes 1.5 times of itself, the amount of same principal in 5 years will be-

106. When 30% of one number is subtracted from another number, the second number reduces to its four-fifths. What is the ratio of the first to the second number?

107. Fresh grapes contain 80 percent water while dry grapes contain 10 percent water. If the weight of the dry grapes is 250 kg what is total weight when it was fresh?

108. A man purchases two clocks A and B at a total cost of Tk 650. He sells A with a 20% profit and B at a loss of 25% and gets the same selling price for both clocks. What are the purchasing prices of A and B respectively?

109. The profit earned by selling an article for Tk 900 is double the loss incurred when the same article is sold for Tk 450. At what price should the article be sold to make 25% profit?