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NOTE:Following are the Math questions of grade VI. Solve these questions and compare your answers.

ANSWERS: For the solutions and answers, please click "Answers 6" above.

Write in Standard form:                        grade VI

1. (3 x 104) + (2 x 103) + (1 x 102) + (6 x 100)

 

2. (8 x 10000) + (2 x 100) + (1 x 10)

 

3. 8   plus   11   plus   12

   13            13            13

 

4. 1¼  minus  5/6  plus  11/12

 

5. 3 – 2 – 7 + 6

 

6. 3 + 5 x 1.3 + 2.15

 

7.    0.3 + ¾  +  1/20

 

8. 3 – 5 x 3.6 + 1.24 x 10

 

9. In the month of Jan Robert weighed his pet as 5⅔ kg. In Feb his pet loosed its weight by 1⅓ 

   kg. In Mar it gained the weight by ½ kg. What is its total weight in Mar?

 

10. Kathy had 2⅝ gram jewelry, she bought ⅞ gm

   jewelry more. How much jewelry she has now?

 

11. Which digit is in the hundredths place:  32.518

 

12. Which digit is in the thousandths place    0.065

 

13. Write: 4 billion 231 million, 514 thousand 89

 

14. Write: 256 billion

 

15. Make decimal: 23/4,               6/5                2/7

 

     13,    100,    3,    25,    22,    6,    11,    101

16.   Point out the even numbers in above

 

17.   Point out the odd numbers in above

 

18. Point out the prime numbers in above

 

19.   Point out the composite numbers in above

 

20. 0.327 is between a)1 and 1.5   b)0.5 and 1.0

             c)0.00 and 0.5                    d)1.5 and 2.0

 

21. 2.05 lies between 1 and 2                  F/T

 

23. Convert into lowest term:              22

                                                                 99

24. Convert into lowest term:  120

                                                     300

25.       ½  ÷ 10

 

26. 7⅔    ÷  46/9

 

     35,   12,   7,   101,   100,   11,   17,   8,   23,   32

27. How many odd numbers are above?

 

28. How many even numbers are above

 

29. How many composite numbers are above?

 

30. How many prime numbers are above?

 

31. Lowest form:   4200          90          12         150

                                7000          700         60        105

 

32 (2x100) + (2x10) + (5x10-1) + (9 x 10-3)

 

33.(3 x 105)+(1 x 103)+(1 x 102)+(6 x 100)+(2 x 10–1)

 

34. Make decimal: 11/6,    4⅔,    35%,    12½%

 

35. How many hrs and minutes between 10:05 a.m.

   and 03:35 p.m.?

 

36.How many prime numbers between 10 and 20?

 

37. In the first column in a magic box are 2 stars, in second column 11 stars, in third column 20 stars, in fourth column 29 stars. How many stars are there in fifth column?

 

38. Angle between 90 & 180 degree is ….

 

39. Angle between 1 and 90 degree is ….

 

40. Angle of 180 degree is ….

 

41. Angle of 200 degree is ….

 

42. Half of a right angle is an angle of ….

 

43. Obtuse angle is always greater than right angle

                                         True/False

Fill in the blanks:

 

44. 2.31,  4.34,  6.37,  _____,  10.43

 

45. 90,   700,   5,000,  30,000,   _____

 

46. 7,  11,  13,  17,  19,  ____,  25



47. 1,  4,  9,  ____,  25,  36,  ____

 

8. Smaller angle is 50 degree, what is the

   Size of the bigger one adjacent to it on St line?


Solve:

49. 100 x (3.1 - 2.06) ÷ 1000


50. (26.3 – 10 x 2.35) + (17.05 – 22.7 + 8)

 

51. (1/2 + 2/3) ÷ 10

 

52. 2⅞ ÷ 69 + 3

 

53. Acute angle is always …. than right  angle

            a) bigger       b) smaller

 

 Evaluate the number 8 in the following questions:

54.  979.8

 

55.  0.008

 

56. 23.185

 

57. One cinema ticket costs $ 2.40, what is the

   price of 23 tickets?

   a) 2.40 x 23      b) 2.40 ÷ 23        c) 2.40 + 23

 

58. Weight of 40 bricks is 225 pounds. What is the weight of one brick?

     a) 225 x 40           b) 225 ÷ 40       c) 225 – 40

 

59. A van can accommodate 9 persons. Joe had invited 100 friends to come for picnic but 11 friends did not come. How many vans did he need?

  a. (100-11) ÷ 9        b.100 – 11 ÷ 9       c. 9 x 11 - 100

 

60. 4:15 p.m. + 2 hr 20 min + 25 min + 1 hr = ____

 

61. What is the ¾ of $ 66

 

Write in standard form:

62. (1x103)+(1x10)+(1x10--2)+(1x10--1)

 

63.   5/6 + 4/5 + 3/4

 

64. 2 x 3+1x2-4x3+5x2

 

65.   7+1.2x10+2.122x100+30x10

 

66. “5” is in the ____ place:   1.958

   (a)tenths     (b)hundredths    (c)thousandths

 

67. Round up to million:  231,675,207,199

 

68. Round up to ten thousand: 121,234,806

 

69. Perpendicular lines make an angle of ……

   when they meet each other.

 

70. Parallel lines cannot cross or meet together.

                                       Fales/True

71.Make fraction: 20 %,      0.36,      1.2

                            3

72.  3¼ = 13                               False/True

                 4

 

73. Write in words:

   a) 20,001                  b) 50,000,203

   c) 5,000,000,100      d) 1,245,500

 

74. 50 books weigh 256 dollars. What is the cost of one similar book?

 

75. 12 food boxes are enough to feed 50 dogs. How many dogs can we feed by 180 boxes?

 

76. 13 tickets cost $ 150. What is the cost of 52 tickets?

 

77. Total Length of 66 rods is 100 cm. What is the length of 330 similar rods?

 

78. 23 persons can accommodate in one room. How many persons can accommodate in 15 similar rooms?

 

79. If the decimal goes to the left, the value of the number _____  a)increases     b)decreases

 

80. Which is smaller 536.18 or 5361.8

 

81. 44.862 divided by 20 = …….

 

82. 44.862 multiplied by 20 = …..

 

83. 1524.9 x 300 = …..

 

84. 1524.0 ÷ 300 = …..

                Write in words:

85. two hundred fifty thousand, one hundred sixty

 

86. one hundred thirty five million, two hundred sixty five thousand nine.

 

87. Write in order from least to greatest:

     1¾,     1.790      4/5      1.9

 

88. find the product:      3.072 x 0.21

 

89. Find the product:    307.2 x 2.1

 

90. 104  =  …….. 

 

91. Width of a rectangle is 10 cm, its length is double of it. Find the Perimeter and Area.

 

92. Each side of a square is 5 feet, find its Perimeter and Area.

 

93. Area of a rectangle is 28 sq inch. Determine its length.

 

94. How many inches are there in 8⅔ feet?

 

95. 2.56 km = ….. meters

 

96. 756 mm = ….. cm

 

97. 45.38 cm = ….. m

 

98. 3½ yards =  ….  feet

 

99. Baby’s age is n years. His mother’s age is four times to her. What is her mother’s age?

 

100. Joseph is x years old now. How much his age would be after 10 years?

 

101. My friend’s age is x years now. How old was he 7 years age?

 

102. Price of a shirt is $ b. Price of a jacket is 6 dollars more than shirt. What is the price of the jacket?

 

103. Fare for driving 18 miles is $ 60. What is the fare to be for 3 miles.

 

104. Ages of four friends are 21 yrs, 23 yrs, 27 yrs and 13 yrs. What is their average (mean)?

 

105. a = -1, b = 2, c = 5, evaluate the following:

  i) 3a + 4b - c

  ii) a – b + c2

 iii) –7a – b + 6c

 

106.     i.   4⅜ - 3⅔ + 11/12

ii.   3     1     1

                 14   10    6

107. Arrange in descending order (greatest to

         lowest):

            i)  2.3      180%       7/3

            ii)  13.8    8.31    1.83    18.3

108. One-fourth means ¼  (False/True)

 

109. Two-fifth means …..

 

110. One-third means …..

 

111. One-sixth population of a town is rich. Rest are poor. What fraction of the town is poor?

 

112. Two-third of my salary I spend on food, One-fourth on clothes. Remaining part of my salary I save. What fraction I save?

 

113. Find LCM:  36,  42,   21

 

114. Multiply 18 and –6

 

115. Divide 18 by –6

 

116. Add 18 and –6

 

117. Mr. Leigh has some parrots. Three-fifth of them are black, one-tenth are green, all others are white. What fraction of the parrots are white?

 

118. What is the least common multiple: 27,  45

 

119. 1/2  of the total students are rich, one-fourth are poor while remaining are middle class. What fraction is middle class.

 

120. What fraction is equal to 0.12

 

121. What fraction is equal to 0.0025

 

122. Add –4 and 14

 

123. Multiply –4 and 14

 

124. Least Common Multiple of 16, 20, 12

 

125. What fraction is the smallest:

13    17      9

10    10      5

 

126. What is the reciprocal of x/y,   1/9,  0.01

 

127. Lisa went to shopping with a cash money $ 100 with her. First she purchased two shirts $ 14.50 each, then she bought shoes for $ 21.75. Shopkeeper gave her a special gift $ 5.00. How much money she had on return to home.

 

128. 10 batteries cost $ 8.50, 5 batteries cost $ 5, while single battery costs $ 1.25 each. If one buys 17 batteries, how much would he pay?

 

129. Length of rectangle = 8 cm,  area = 72 sq cm, width = ?

 

130. 234 m2 is …..   a) area    b) length   c) width

 

131. Price of a table is $ x. Chair’s price is 7 less than the half of table’s price. What is the price of chair?

 

132. My age is x years. My brother’s age is 4 more that the double of my age. What is my brother’s age?

 

133. How many months are in two decades?

   a)2 x 10 + 12   b) 2 x 10 x 12    c) 12 + 2 + 10

 

134. Make days: 5 weeks

       a) 5 + 7          b) 5 x 7         c) 5 + 10

 

135. Make inches:  20 yards

   a)20 x 12     b)20 x 3          c)20 x 3 x 12

 

136. Joe worked the whole week. What is his average income per day?

  On Mon and Tues, he earned $ 75 each day.

  On Wed, he earned $ 80

  On Thurs and Fri, he earned $ 70 each

  On Sat, he earned $ 90

  On Sun, he earned $ 100

 

137. Ali’s salary is $ 4.00 per hour. How much money can he make in a week (Mon thru Sun). If he works 6 hours a day.

 

138. After every hour the temperature is dropping by 2 degree. At 11:00 a.m. the temperature was 68 degree Fahrenheit. What temperature would be at 07:00 a.m.

 

139. Male baby weighs 7 1/5  lbs and Female baby weighs 8 1/8. Whose weight is more and how much?

 

140. Area of a square shape is 400 cm, how long is its side?

 

141. Find out the average (mean) of the following three numbers:            ¼,     ⅓,      ⅔

 

142. Area of a square shape is 169 cm2, find the length of its side.

 

143. Find length of a rectangle if area is 220 sq inch and width 5 inch

 

144. What is the value of 6 (Join)

   67.1                                      six thousands

   6,781                                    six ones

   23,116                                  six thousandths

   1.006                                    six tenths

   234.6                                    six tens

 

145. Julia purchased a tea-set for $ 23.55 and she gave a bill of $ 50 to the salesman. Salesman charged the price of the teas-set and the tax. He returned $ 24.35 to Julia. How much he charged for tax.

 

146. Doreen’s height is 90 cm and Rozia’s is 80 cm. What is the ratio of Rozia to Doreen?

 

147. Doreen’s height is 90 cm and Rozia’s is 80 cm. What is the ratio of Doreen to Rozia?

 

148. Circle the smallest one:  -7,   -6,   -5

 

149. Circle the biggest one:  -3/8,     -5/14,    -11/14

 

150. Circle the biggest one: -1/5,   +6/77,   -3/13

 

151. Solve   2 + 13/10 ÷ 26/15

 

152. If there are 15 men and 10 women in a bank staff. What is the ratio between men and women?

 

153. 4/5 + 12a = 19/20 + 10a,       find a

                                                                           

154. A car is traveling 40 miles per hour. How long it will take to travel 5600 miles.            

 

155. 4000 people are living in a small town. Two fifth of these people are students. One fourth of the students are masters. How many masters are there?

 

156. Ratio among the salaries of Leigh, Jerry and Patrick is 3:1:6. If the salary of Leigh is $1200. What is the salaries of Jerry and Patrick?

 

157. Which of the following is equal to:

        NOTE: correct answer is underlined

(4 x 100) + (3 x 10) + (3 x 1)

               (A) 403   (B) 433   (C) 4,303

 

158. ¾ + ¼

              (A) 1   (B) 2   (C) 4 (D) ¼

 

159.  ½ - ¼

              (A) 1   (B) 2   (C) 4 (D) ¼

 

160. 5.2 – 4.51

             (A) 1.96  (B) 1.69   (C) 2.42   (D) 0.69

 

161. 3 + 1.51 + 2.5

             (A) 1.07   (B) 7.10   (C) 7.01   (8) 7

 

162.  Multiply 102 and 27                               

 

163. Which digit is in the tenths place of  12.46

 

164. Write 324 million                     

 

165.  Joe has ½ pounds of meat in his refrigerator,

    he puts ¾ pounds more in it. How much

    meat he has altogether.                       

 

166. Which decimal is equivalent to 3/8          

 

 

167.  Which of the following is a Prime number

            (A) 23    (B) 10    (C) 25    (D) 34

 

168. Which is the lowest term of     25         1/3

                                                            75

 

169.      3       divide     1                             

4                        8

 

170.  Which is between 7 and 8

            (A) 8.06   (B) 7.7    (C) 8.7    (D) 8.0

 

171. Even number:   170,     123,      303,     155

 

172.  Lowest  form  of  25                   1/4

                                      100

 

173.  Write the kinds of angles

 

174.  Which fraction is between 2 and 3.5

           3¾ ,     1.720 ,     2¼

 

175.  Sum of complementary angles is …..

 

176.  Write any three prime numbers

177. (1 x 1000) + (2 x 1) + (1 x 10-1) + (3 x 10-2)

 

178. Change into decimal: 


179.  Ricky drove from NY to Atlanta. He left 9:45 and reached 11:30 p.m.. How long did the trip take?


180.  One) Fig A is angle  …..

Two) Fig B is angle  …..         

Three) Fig C is angle …..

Four) Fig D is angle …..                      


181. What is the next number

            2,000      1,000      500      250     ___


182. What is the next number

            10      200      3000      40000     ___


183. What is the next number

            12      24      36      48      ___


184. What is the next number

            1      3      9      27      ___


185. What is the next number

            2.5      3.6      4.7      5.8      ___


186. An angle measuring 80o is ___ _ angle


187.  Supplementary angle of 80 degree is …..


188.  Angle less than 180 degree and more than 90 degree    is __ _  angle.


189. (15 + 4 – 13) ÷ 4      


190. 108       36        12        ___


191. 23.789, evaluate the underlined number


192. Jolly wrote a list of numbers by the rule “multiply by 3, then add 1” what is the next number                    

                         4,   13,   40,   121,   ?     


193. Robert invited 17 friends to a pizza party. A  pizza serves 4 people. If 5 friends cannot come to  the party. How many pizzas should he buy?

A.      (17 – 5) ÷ 4            

B.     (17 ÷ 5 – 4

                     C.     (17 – 4) ÷ 5


195. I started my trip 7:30 a.m. First I made grocery taking 20 minutes, then I went to library taking 45

   minutes, then I got my car repaired taking one hour  15 minutes. Finally I returned home taking

  10  minutes. What time did I reach home? 

                                                                   

196. Sari had 210 balls. On Monday she gave 30 balls to her brother. On Tuesday she gave ⅓ of  the    remaining balls to her sister. How many balls did  Sari give to her sister?      

 

197.  Which is greater: ⅔ of 90 or  ⅛ of 560

                                       

198. ⅞ is equivalent to

            (A) 0.78   (B) 0.812   (C) 0.873

 

199. (3 x 102)+(9 x 101)+(1 x 10o)+(9 x 10-2)

 

200.  ⅜ + ⅔ = ?       

 

201)   10.31 – 12.3 + 9                

 

202)  2.3 x 34.1                     

 

203) Which digit is in the thousandths place

              87.341

 

204) Write in numbers: Fifty three million one hundred fifty two thousand

                                         

205) Round up thousandth place: 0.09842

                                            

206) Intersecting lines …. Meet  (cannot, can)

 

207) I had $ X in my bank account, I withdrew $ B. How much I have now.                       

 

208) Nine million eighty thousand

A.     (9x106)+(8x104)

B.     (9x104)+(8x106)

C.     (9x106)+(8x106)

 

209) One newspaper costs $ 3.20, what is the cost of nine newspapers?   

 

210) The dog has four legs. How many legs do 59 dogs have?           


211) I gave a bill of $ 50 to the clerk and purchased 7 tea sets at the rate of $ 6.25 per tea sets. How  much money will the clerk return to me?  

 

212) This week I saved $ 34. Last week I saved $ 51.25. How much money did I save last week  more than this week?                           

 

213) 100 x 1000 x 10 is equal to

            A. 107    B. 105     C. 10-6      D. 106

 

214) I have x dollars in my pocket. My friend Tara has as much as double of mine. Another friend Allan has $ 5 more than me. How much money do Tara and Allan have?            

 

215) 439.25 x 10 = ?                     

 

216) 439.25 ÷ 10 = ?   

 

217) 23.5 x 1000 = ? 

218) 240 x 200 x 100 = …….                     


219) 25% of $ 8,000 = …….    

             

220) 1.67     1.35      0.92       0.64

A)     order is from greatest to least  

B)     order is from least to greatest

C)    none

221) If x = 10, evaluate    x3 + x2 + x                   

222) (5x101)+(9x10-1)+(7x10-2)+(1x10-3)    


223) write in words:  90,515


224) 0.03 x 0.0091                             


225) Length of a Rectangle is x inch, width is y inch, determine its area and perimeter.


226) How many meters in 3.28 kilometers


227) How many centimeter in 14.5 millimeters


228) How many meters in 378.23 centimeters


229) How many ft in 60 inches            


230) My age is x years, how old I was 6 years ago?


231) 15 pounds sugar is enough for 20 students for a certain time. How much sugar is required for 9 students.                


232) a = -2, b = 1, c = 3 Evaluate 6a – 4b + c2

                         

233) Mean (Average) of 14, 21, 28        

234) Prime factorization:  84

                       

235)  10     12

18        27   plus (+)                     

 

236) 0.5       ⅓        0.15       0.09

A)     Least to greatest

B)     Greatest to least

C)    None

   

237)  8        ___      0.88

          9

                A) =         B) >           C) <

 

238) What is the least common multiple 8, 12  

                                                                         

239) In a school one-fifth of the students are Spanish, one-fourth are Black, the rest are white. What fraction of the students are white?                                          

 

240) What is the least common multiple: 21, 14, 7

 

241) ½ of the population of a city is poor, ⅓ is rich and rest is middle class. What fraction is for middle class?                                                              

 

242) Small car is 15.6 feet long. Long car is 18 feet long. What is the difference in their length?     

 

243) 1/8, 1/5  What is the least common denominator

 

244) Add +7 and –2                                         

 

245) Multiply –2 and –600                          

 

246) Add +3,  -2,  +7                        

 

247) Which fraction is equal to 0.04            

 

248) ¼,  ⅞ what is the least common denominator

                                                                          

249) Least common multiple  12, 18, 15        

 

250) Reciprocal of 5, ¾ and a/b          

                                                      

251) >,  <   or  =          2             3

                                     3     ....    4

 

252) Mr. Gonzalez opened a checking account with $247.50. During the month, he wrote checks for $175.65 and $98.52. He also deposited a  check for $73.42.  What should his balance at the  end of the month?                                  

 

253) How can you show that 5/6 is equal to 0.83

                                                                

254) Pens cost $0.79 each or $8.99 for 12. What is the amount you could spend to buy 16 pens?


255) If a rectangle is 8 ft long & 2 ft wide, its area would be 16 sq ft. If one wants the area to be three times, what must he do with the length and width?

   

256) Katie weighs 5 pounds more than half her brother's weight. If n equals her brother's weight, which expression represents Katie's weight?

      

257) Which expression shows how to find the number of minutes in 2 hours?

  A) 60 x 60     B) 60 + 60

  C) 3 x 60     D) 60 ÷ 2

 

258) Which expression shows how to find the number of seconds in 2 hours?

  A) (60 x 60) x2   B) 60 x 60

  C) 100 x 60     D) (60 + 60) x2

 

259) Josh earned $120 a month from January through August. From September through December, he earned $150 a month. What was Josh's average monthly salary?     

 

260) There are three grades in a school. First grade collected 105 cans, second grade 99 cans and third grade 111 cans. If the cans are equally divided among 15 baskets, which expression shows the number of cans in each basket?

 A. (105+99+111) ÷ 3   B. (105+99+111) ÷ 15

 C. (105+99+111) ÷ 3+15  D. 3 (105+99+111)

 

261) Justin has run 4.25 miles a day. How many miles has Justin run in three weeks?   

 

262) Subtract   5⅓ - 4¾   

 

263) The temperature dropped 17 degrees between 9:00 A.M. and 9:00 P.M. If the temperature was 8°F at 9:00 A.M., what was the temperature at 9:00 P.M.?                     

 

264) What is the mean (average):

  11.0  12  12.3  11.5  11.9  11.2

 

265) In May, the students recorded the height of the plant at 5/2 inches. A month later, the plant measured 13/4 inches. How much did the plant grow in a month?

 

266) Area of a rectangular room is 120 ft2. Find its width, if length of the room is 10 ft.

 

267) Perimeter of a square = 16 ft, find its side.

 

268) What is the value of the underlined digit in 47.521?

 a) Five   b)Five tens   c)Five tenths

 

269) 12.4 – 3m = 7m + 27.02,   find m 

 

270) Mr. Henry took his wife to dinner for her birthday. The price for their two dinners was $50. After adding tax and a tip, Mr. Henry had $39.50 left from a $100 bill. If tax was $3, how much did Mr. Henry leave for a tip?

  a)$ 7.50   b) $ 10   c) $ 6.50   d) NH

 

271) Kevin has 9 red pens and 4 blue pens. What is the ratio of blue pens to red pens?

 a) 9:4   b) 4:9   c) 13:9   d) 9:13

 

272) –3 ….. –4 (<,  >,  =)

 

273) 3 …..  4 (<,  >,  =)

 

274) -⅓ ….. - ⅞ (<,  >,  =)

 

275) Ten out of every 30 participants will receive prizes. If 135 people participate, how many will receive prizes?        

 

276) Divide  13/5 divided 2/3

  a)39/10   b)49/15   c)42/5   d)5/42

 

277) What is the ratio of one yard to 2 feet?

a) 2:3  b) 3 to 2   c) 2 to 5

278) Solve 0.5 a + 6 = 11       

 

279) Two third of the 27 students in the class are athletes. One half of these athletes play basketball. How many students in the class do not play basketball?     

 

280) Mrs. Cooper can type 55 words per minute. At this rate, how long will it take her to type 330 words?

                   

281) If the model car measures 42.5 centimeters in length, what is the actual length of the car in meters?  (scale: 10 cm = 1 m)

    a) 4.25 m  b) 425 m  c) 0.425 m

 

282) –7/4 …… -1¼ (<,  >,  =)

 

283) –13/5 ….  +7/6 (<,  >,  =)

 

284) 0.3  ……  2/7 (<,  >,  =)

 

285) There are 100 people at the concert. One fifth of the people are senior citizens. Fifty-five out of 100 are children. What fraction of the people are not senior citizens or children?

  a) ¼  b) ¾   c) ½

 

286) Two third means 2/3 and one sixth means 6/1.

                 False/True

 

287) 25% people of a town are old, 1/8 are young, rest are children. What fraction of the town is children? 

 

288) Robert gave $ 1200 to her wife. 1/5 of this money she spent to doctor’s fee. 3/8 of this money she spent for travel. She saved remaining money. What fraction she saved AND how many dollars they were? 

 

289)  Solve (-6 x +5) – (-8 ÷ -4) = ….

  a) –28   b) 28   c) –32   d) NH

 

290) Solve  (-1 x 6 + 11) – (4 – 11) – (2 – 5 x 1)

 a) 21   b) –21   c) 15

 

291) One sixth students in a school play chess. One fourth students play ice hockey. Remaining students are non-playing. What fraction of the students is non-playing AND what percentage is it?     

 

292) 30 persons are black, 25 persons white and 65 Spanish in a meeting. What is the ratio among Spanish, Whites and Blacks? 

 

293) Ratio between monkeys and lions in a zoo is 1:4. How many lions are there if the number of monkeys are 56?       

 

294) Divide 90 quarters in four beggars with the ratio 2:3:1:4       

 

295) John’s age is double of William’s age and Allen’s age is one fifth of John’s age. What is the ratio of age amongst three persons?

 

296) Ratio between the salaries of Mr. A and Mr. B is 1:2. If the salary of Mr. B is $ 157. What is the salary of Mr. A?    

 

297) At Small-town Library, the ratio of mystery books to adventure books is 4:3. If the library has 300 mystery books, how many adventure books does it have?

 

298) 16 ÷ x = 5,  find x 

 

299) –2 (–4 – m) = 4 + 3 (2 – 5m),   find m  


300) –1 (2k –10 + 5k) +2 (k – 1) = –3k,   k = ?  

 

301) ¾ + 17a = ⅜ + 20a,   find a   

 

302)   4b + 2   plus   b – 1        

             3                     -2     

 

303) solve the equation

      5           x – 3                4

      6   plus   2     equals   3

  

304) Temperature in the month of May was –6°C and in the month of December was 22°C. What is the difference in these two temperatures.   

 

305) 75% …..  ¾    (>,  <,  =)

 

306) 7, 5, 3, 7, 6, 2

 Mean …..  Range …..  Mode …..  Median …..

 

307) How much is the difference between –3 and 3

             

308) How much is the difference between –3 and -6?                

 

309) One fifth of the members of a club are senior citizen. What percent is this?

            i) 20%   ii) 30%   iii) 5%

 

310) Two fifth members in a family are doctors, 10% are engineers, remaining are labors. If 35 are labors, how many are doctors? 

 

311) Total 7000 voters are registered in a district. 20% of them are in the favor of Democratic Party. How many people are not in the favor of Democratic Party?      

 

312) Total students in a college are 800.  240 out of them are players. What fraction of the students is players. 

 

313) 700 people bought the prize tickets and 56 persons could win the prize. Which fraction indicates the winners AND how much percent could win the prize?      

 

314) Kennedy School scored 3 more than twice the number of goals that Eisenhower School scored. If Eisenhower School scored 5 goals, which equation could be used to find the number of goals Kennedy School scored?

 a. (5 x 3) + 2       b. (5 x 2) + 3

 c. 5 x 2 x 3         d. (2 + 5) + 3

 

315) Prime factorization of 54

  a. 2 x 2 x 3 x 3       b. 2 x 33

  c. 23 x 3

 

316) Twenty percent of the girls wore long dresses to the dance. If 16 girls wore long dresses, how many girls went to the dance?     

 

317) How is 0.075 written as a percent?

 a. 75%       b. 0.075%        c. 7.5%

 

318) What is the value of y 

   2b + 3 = –y + b – 4y + 7 + b

 

319) If the ratio of boys to girls in the class is 1:2, which of the following cannot be the number of boys and girls in the class?

 a. 16 boys and 32 girls

 b. 68 boys and 136 girls

 c. 170 boys and 340 girls

 d. 150 boys and 75 girls

320) What is the greatest common factor of 24 and 36?

  a) 12  b) 18  c) 6

 

321) Calculate the value of 30 inch, if the scale on the map is:

   I inch = 8 feet

 

322) value of Under-root 93 is between:

 a) 8 and 9   b) 9 and 10  c) 10 and 11

 

323) value of 27 is between:

 a) 5 and 6   b) 6 and 7   c) 7 and 8

 

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

 

(1) One million twenty thousand     

1

(1x107) + (2x105)

2

(1x106) + (2x104)

3

(1x106) + (2x103)

4

(1x105) + (2x104)

(2) 207.50

   - 19.69

1

187.81

 

2

197.99

 

3

212.19

 

4

NH

 

(3) Which of the following number rounds to 1 inch?

1

0.25 inch

 

2

0.36 inch

 

3

0.78 inch

 

4

1.5 inch

 

(4) Height of mountain is 13,428 feet. What is  

  13,428 rounded to the nearest thousand?

1

12,000

 

2

13,000

 

3

13,400

 

4

13,440

 

(5) Value of underlined digit 461.053

1

5 thousandths

 

2

5 hundredths

 

3

5 tenths

 

4

5 ones

 

(6) Last year the school charity was $ 3,965.49, this year $ 4,398.77. How much money raised?

1

$ 433.38

 

2

$ 533.38

 

3

$ 633.32

 

4

NH

 

(7) Joe is twice as old as his little brother. Which expression can be used to find Joe’s age, if x represents his brother’s age?

1

2 + x

 

2

2x

 

3

x + 2

 

4

x – 2

 

(8) Multiply 3 x 9.98

1

0.049

 

2

0.49

 

3

4.9

 

4

NH

 

(9) Jule’s bill totaled $78.48. She gave the clerk $100.00. Which equation can be used to find the amount (x) she received?

1

100.00 – 78.48 = x

 

2

 78.48 – 100.00 = x

 

3

 x – 100.00 = 78.48

 

4

100.00 – x = 78.48

 

(10) If x=10, Evaluate, x3 + x2

1

50

 

2

200

 

3

1100

 

4

11000

 

(11) Football is on for $ 9.98 each. How much for three Footballs.

1

$ 27.74

 

2

$ 29.74

 

3

$ 29.94

 

4

NH

 

(12)

 

 

1

Perpendicular lines

 

2

Parallel lines

 

3

Skew lines

 

4

Intersecting lines

 

(13) Twenty-five teams participated in the contest. Each team had 30 members. How many people participated in the contest?

1

75

 

2

650

 

3

755

 

4

NH

 

(14) 10 x 102 evaluates as:

1

100

 

2

1,000

 

3

10,000

 

4

NH

 

(15) It takes Sara 15 minutes to get to school. School starts at 8:5 A.M. Sara needs 1½ hours to shower, dress and eat breakfast before she leaves for school. What maximum time should Sara get up if she wants to get to school on time?

1

6:10 A.M.

 

2

6:20 A.M.

 

3

6:40 A.M.

 

4

7:05 A.M.

 

(16) How is (3x101) + (5x100) + (9x10-2) written in standard form?

1

 3.59

 

2

.35.009

 

3

 35.09

 

4

35.9

 

(17) What is the quotient of 6.68 ÷ 8 ?

1

0.81

 

2

0.835

 

3

0.86

 

4

NH

 

(18) Which set of numbers is correctly ordered from greatest to least?

1

1.7, 1.36, 1.3, 2

 

2

2, 1.36, 1.3, 1.184

 

3

1.3, 1.36, 1.7, 2

 

4

2, 1.17, 1.36, 1.3

 

(19) Write in words:  3,075

1

Three hundred seventy five

 

2

Three thousand seventy five

 

3

Three seventy five

 

4

Thirty seventy five

 

(20)120.9 is written as:

1

(1x103)+(2x102)+(9x10-1)

 

2

(1x102)+(2x101)+(9x10-1)

 

3

(1x102)+(2x101)+(9x101)

 

4

NH

 

 

 

(21)       ‘             ‘                   ‘            ‘

             1         1.25              1.75        2

See the above number line and determine, between which two numbers does 1.075 fall.

1

Between 1.75 and 2

 

2

Between 1.5 and 1.75

 

3

Between 1.25 and 1.5

 

4

Between 1 and 1.25

 

(22) How many millimeters is 28.5 centimeter

1

0.285

 

2

2.85

 

3

285

 

4

2.850

 

(23) 2,016.875 ----- 2,027.000

1

< 

 

2

> 

 

3

=

 

4

NH

 

 (24)

Length: 13cm  width: 5 cm,     Area of this rectangle = ?

1

13 x 5 cm

 

2

13 x 5 sq cm

 

3

13 + 5

 

4

13 + 5 sq cm

 

(25) Last year school recycled 807 soda cans, this year they recycled 985 cans. How many more recycled they recycled this year.

1

885

 

2

207

 

3

118

 

4

178

 

(26) Julia bought a can for $ 2.05, skirt for $ 24.95 and a cake for $ 9.50. The clerk gave her .$3.50. How much money did Julia gave the clerk.

1

$ 100.00

 

2

$ 50.00

 

3

$ 40.00

 

4

$ 35.00

 

 (27) Length: 3a, width: 3b,    Area of rectangle = ?

1

3a x 3b

 

2

3a + 3b

 

3

6ab

 

4

NH

 

(28) Perimeter of above rectangle

1

9ab

 

2

6ab

 

3

6a + 6b

 

4

2 x 3ab

 

(29) Two hundred forty oranges are packaged. Each package contains 16 oranges. How many packages are there?

1

14

 

2

20

 

3

16

 

4

15

 

(30) Which order is good from greatest to least:

1

2,805  2,800  2,801

 

2

2,800  2,769  2,769

 

3

2,765  2,759  2,752

 

4

2,775  2,800  2,805

 

(31) One book costs $3.15. How many books can I buy for $ 15.75?

1

5

 

2

6

 

3

7

 

4

4

 

(32) What is 905.76 rounded to the nearest tenth?

1

910

 

2

905.86

 

3

905.8

 

4

905

 

(33) Tom bought two key chains for $2.88 each. Kayla bought a pencil for $1.09 and an eraser for $0.83. Compare the cost of Tom's purchase to Kayla's.        

1

Kayla spent more than Tom.

 

2

Kayla spent one fourth as much as Tom.

 

3

Kayla spent one third as much as Tom.

 

4

Kayla spent as much as Tom spent.

 

(34) A theater group charged $50 per ticket for the play. Out of the price of each ticket, $30 was used to pay the actors; $5 was used to cover the cost of costums; $7 was used for miscellaneous expenses; and the rest was profit. If the theater group sold 100 tickets, how much profit did they make?     

1

$ 800

 

2

$ 2000

 

3

$ 5000

 

4

NH

 

(35) One fruit juice costs $3.20. If I have $ 20, how many fruit juices can I buy and how much money I supposed to leave?

(36) Eight books cost $64.80. How much is the cost of thirteen books?

(37) 6.9 x 5.02 = …….

(38) I gave the yearly order as 250 uniforms for 60 scouts. How much order should I give if the number of scouts were 30.

(39) I traveled three days continuously and covered total 39 miles. First day I traveled 08.15 miles, second day 11.3 miles. How much I traveled third day.

(40) Teacher bought 12 buntings for his class for $ 14.04. What is the unit price for each bunting.

(41) Muffins cost $0.45. What is the greatest number of muffins I can buy with $5.00?

(42) which number is the product of 0.006 and 1.6?

(43) What is the mean?

 58,  60,  60,  61,  63,  64

(44) Evaluate 2a3 – b2 – ab

 given a = 1 and b = 2

(45) What is the prime factorization of 24?

1

22 times3

 

2

22 times6

 

3

22 times32

 

4

23 times3

 

(46) What is the value of the underlined digit in 47.521?

1

Five

 

2

Five tens

 

3

Five hundredths

 

4

Five tenths

.

(47) which set is greatest to least

1

1 7/8,  1¼,  1.8,  1.9

 

2

3¾,  3¼,  2.9,  2½

 

3

2 7/8,  2.0,  1¾,  2.03

 

4

100%,  ½,  0.25,  1.005

 

(48) Which fraction represents the decimal 0.6?

1

 1/3

 

2

 3/5

 

3

 2/3

 

4

 1/6

 

(49) How many meters are equal to 900 centimeters.

(50) How many millimeters are equal to 3.06 centimeters?

(51) How many centimeters are equal to 13.6 meters?

(52) Which is bigger: ¼ meters or 30 centimeters?

(53) 23.74 kilometer = ….. meters

(54) Mr. Calla ordered shirts for the basketball team. He paid $194.70 for 15 shirts. What is the cost of one shirt?

(55) Prime factors of 54

(56) What is the value of the underlined digit in  987.103?      

(57) Write in standard form:

   40,000,000 + 3,000 + 2

(58) What is the product of 0.0126 x 102

(59) What is the mean of:

  37, 33, 36, 34, 33, 39, 37, 31

(60) what is the value of x, if

   5.42 + x = 8.6

(61) What is the mean of:

  $8.00  $5.50  $6.25  $5.50  $7.75

(62) Divide: 2.1 ÷ 0.05

      2.1 ÷ 0.5

      0.21 ÷ 0.5

      2.1 ÷ 0.0005

(63) How is four and twenty-nine thousandths written in standard form?

1

 4.029

 

2

 4.29

 

3

 429

 

4

 4290

 

(64) 9,000,000,000,000

1

Nine Billions

 

2

Ninety Billions

 

3

Nine Trillions

 

4

NineTY Trillions

 

(65) How is (4 times104) + (6 times100) written in standard form?

(66) Write in number: Twenty four million, five hundred fifteen thousand, two hundred one.

(67) Which expression is the simplified form of:

  -6 + y2 – 2 + 3y – y – ¾ + 11y2

1

10y2 + 2y – 8¼

 

2

12y2 + 2y – 8¾

 

3

12y2 – 2y + 8

 

4

2y2 + 12y - 8

 

(68) In which of the following situations would it be a good idea to round the numbers?   

1

when recording statistics on world population

 

2

when writing a check for the electric bill

 

3

when determining the outcome of a presidential election

 

4

when stating your age

 

(69) Twenty-five million, three hundred fifteen thousand, six hundred fourteen copies of a computer game were sold. What is 25,315,614 rounded to the nearest million?  

1

26,000,000

 

2

26,315,000

 

3

25,300,000

 

4

25,000,000

 

(70) What is the value of the underlined digit in 246.159?

1

9 hundredths

 

2

9 thousandths

 

3

9 hundreds

 

4

9 thousands

 

 

 

(71) Check the numbers divisible by 2,3,5

 

2

3

4

5

 1110

 

 

 

 

 2061

 

 

 

 

 214

 

 

 

 

 2315

 

 

 

 

 711

 

 

 

 

 615

 

 

 

 

(72) Fill in the blank:

          24  …

64    8

(73) What is the value of n? if 8.3 + n = 2.3

1

11.6

 

2

- 6

 

3

0.6

 

4

- 5

 

(74) Which decimal represents the fraction ¾

1

0.50

 

2

1.75

 

3

0.75

 

4

0.34

 

(75) 2,004 + 45,217 – 9,269

1

37,952

 

2

41,024

 

3

39,172

 

4

31,852

 

(76) What is the LCM of 15, 18, 20

1

150

 

2

180

 

3

300

 

4

60

 

(77) Divide 21.55 by 0.5

(78) Divide 213 by 0.03

(79) Multiply 79.3 and 1000

(80) Multiply 3.761 and 100

(81) Divide 34.5 by 10

(82) Divide 235.21 by 100

(83) Divide 34.1 by 1000

(84) Write in expanded form: 0.23

(85) Which is bigger: 7/8 or 0.83

(86) The track team ran 2 3/4miles each day for five days. How many miles did they run in all?

(87) Cinema Ticket Prices:

  Adult $ 6.25   Student $ 5.00   Child $ 4.50

  What is the total price of three adults, one

  student and two children:

1

2 x 6.25 + 2 x 5.00 + 1 x 4.50

 

2

6.25 x 3 + 5.00 + 4.50 x 3

 

3

3 x 6.25 + 5 + 2 x 4.50

 

4

3 x 6.25 + 1 x 5.00 + 4.50

 

88) A cyclist steps on a balance scale shows the total weight 213 pounds. If he wears a helmet, boots and clothes weighing 17.24 pounds. What is his own weight?

1

189.86

 

2

191.75

 

3

198.67

 

4

195.76

 

89) Isabel is a new doctor. She gradually increases the number of her patients. First week she checked 7 patients, second week 10 patients, third week 13 patients. In what week will she check 40 patients?

1

12th week

 

2

14th week

 

3

15th week

 

4

10th week

 

90) Find the missing factor:

  32 x 5 x …… = 315

91) Find the missing factor:

  …… x 22 x 32 = 252

92) composite, prime, odd, even

 

composite

prime

Odd

even

100

 

 

 

 

97

 

 

 

 

29

 

 

 

 

101

 

 

 

 

2

 

 

 

 

3

 

 

 

 

33

 

 

 

 

105

 

 

 

 

104

 

 

 

 

83

 

 

 

 

93) a3 + b2 – c, evaluate if a= -2, b=1, c=3

94) Find GCF of 3 x 5 x 5 x 7 x 11

      and 2 x 2 x 5 x 7 x 17

95) Express each ratio as a fraction:

30 students out of 50

 

84 students to 3 teachers

 

22 players to 2 teams

 

4 boys to 6 girls

 

14 profits to 35 losses

 

8 out of 10 votes

 

2 days out of 2 week

 

3 months out of 1 year

 

96) 28 apartments are there in a building. Only

  12 apartments has pets. What ratio in the  building hasn’t pets.

97) Make decimal, use two methods:     5/200

98) –12 + (-10) + 3 (2) = ?

1

- 16

 

2

- 10

 

3

16

 

4

10

 

99) 4.6 – (- 2.1) + (0.3) = ?

1

10

 

2

8

 

3

7

 

4

- 7

 

100) Which product is not equal to 16?

1

-4 (-4)

 

2

-16(-1)

 

3

-4(-4)

 

4

8(-2)

 

101) Which product is not equal to –20?

1

-4 (+5)

 

2

2 (-10)

 

3

½ (-40)

 

4

-20 (-1)

 

102) My present age is b years. How old I would be after 4 years?

1

4b

 

2

B – 4

 

3

B + 4

 

4

4

 

103) Is the number divisible by 2,3,4,5,6,9,10?

 

by2

by3

by4

by5

by6

by9

by 10

4,032

 

 

 

 

 

 

 

2,770

 

 

 

 

 

 

 

316

 

 

 

 

 

 

 

2,000,001

 

 

 

 

 

 

 

4,905

 

 

 

 

 

 

 

10,300

 

 

 

 

 

 

 

103) ⅝ ….. ½  (=,  greater than, less than )

104) 1/5 ….. ⅜   (=,  greater than, less than)

105) Write from least to greatest:

    3   2   8_  5_

    8   7   11  16

106) solve: 5/6 ÷ 1/9

107) Area of a square is ¼ sq meter, find the

  length of its side.

108) Product of one number and its double is 72.

  What expression is for that?

1

A + A = 72

 

2

A x A = 72

 

3

A + 2A = 72

 

4

A x 2A = 72

 

109) A number is multiplied with 8 equals 96.

1

8a = 96

 

2

8 + a = 96

 

3

8 – a = 96

 

4

-8a = 96

 

110) Sum of a number and 4 is 100.

1

4A = 100

 

2

4 + A = 100

 

3

4 – A = 100

 

4

4/A = 100

 

111) Area of a rectangle is ½ sq inch and one side is ¼ inch long. Find the length of another side.

112) Simplify:   -6 – (-1)

113) A passenger ship in ocean is moving as 240 km a day. How much distance it will travel from 28th June to 2nd July?

114)   7_       3_  subtract

          12      10

115) Joe has $ 6,000 in cash and $ 12,245 in the bank. How much money he requires more if  he wants to buy a co-op costs twenty thousand  five hundred fifty five?

116) Length of a rectangle is 6 cm and area is 9 square cm. Determine the width.

117) In the morning the temperature was –20F, in the evening it becomes 130F. What is the difference in temperature?

118) Evaluate 2mnp2 if m= 6, n= - 4 and p=½

119) Evaluate a/2 – b4  when a = 8, b = -2

120) Next number in the pattern:      -2,  -10,  -50,  …….

121) Next number in the pattern:   -1,  3, -9,  27,  …….

122) Bigger side of a rectangle is 75 cm long  and smaller side is 30 cm long. Find the ratio  between their sides.

123) Using the formula F = 9C/5 + 32, Find the Fahrenheit temperature for a Celsius temperature of –5 degrees.

124) Find the average temperature of the week:

Sun   Mon   Tue   Wed  Thu   Fri  Sat

-11     -9       -7       -6       2       0      3

125) Divide:   72 is divided by -8 = ?

126) Write two more numbers in the pattern:

  1,  4,  9,  16,  ……,  ……

127) Find Mode:

  13,  7,  10,  9,  12.5,  10,  13,  9.5,

128) Find Median:

  11,  23,  12,  15,   19,  16,  21

129) Find Median:

  1,  4,  6,  10,  12,  14,  15,  20,  21,  22

130) Find Range:

  13.2,  9.5,  14,  12.5,  10.4,  16.5

131) 1 – 19 + 3 + 10 - 4

132) – (2 + 24) – 6 + 3 + 30

133) What is the next expression in the pattern: n, n+4, n+8, n+12, ……..

134) I think a number, 5 less than its half is 10, what is the number?

135) I think a number, I double it and add 1 in it, I get 27. What is the number?

136) Solve the equation:

  9c + 8 = 41 + 6c

137) Solve the equation:

  1 + 13a + 2a = -a - 15

138) Solve the equation:

  30 = k_

         5

139) Solve the equation:

  m  =  9.02

  -8

140) Solve the equation:

  ⅝v – 2 – ½ = ¾v – 2

141) Obtuse angles measure between …….

1

900 and 1800

 

2

00 and 900

 

3

1800 and 3600

 

4

900 and 3600

 

142) Basketball tournament starts with 64 teams. After the first round, there are 32 teams left. After the second round there are 16 teams left. and son on. How many rounds does it take to determine a winner?

1

6th

 

2

7th

 

3

8th

 

4

9th

 

143) Sonia has some money in her account. She withdraws $ 85, then she deposits $ 26. How much balance she has now?

1

- 85 + 26

 

2

A + 26 = 85

 

3

26 – 85

 

4

A – 85 + 26

 

144) Rectangle: Width is a+2 cm and length is 3a cm, Area = ?

1

Area is   a + 5a square cm

 

2

Area is   6a square cm

 

3

Area is   2a x 3a square cm

 

4

Area is   3a(a + 2) square cm

 

145)  Rectangle: Width is a+2 cm and length is 3a cm, Perimeter = ?

1

Perimeter is  4 + 8a

 

2

Perimeter is  6a + a + 2

 

3

Perimeter is  8a – 4

 

4

Perimeter is  2a + 4

 

146) plot the points (-2, 6) and (1, 4) and connect them:


147) In which quadrant A(7, -3) lies

148) Which point is close to the origin:        (2, 7) or (-5, 1)

149) The angle of 180 degree is called the  …….. angle

150) A right angle is bisected, what is the  size of each angle?

151) Complementary angle of 20 is …… and supplementary angle is …….

152) False/True?

i)      Every side of square is different

ii)      A pentagon is a polygon having 6 sides.

iii)     Opposite sides of a trapezoid are parallel

iv)     Opposite sides of a parallelogram are parallel

v)     Opposite sides of a rectangle are parallel

vi)     Both diagonals of parallelogram are equal

vii)    Both diagonals of rectangle are equal

viii)     Triangle is a polygon having three sides

ix)     Octagon is a polygon having 6 sides

x)     Quadrilateral is a polygon of 4 sides

xi)     Angles of 50 and 850 are supplementary angles.

xii)    Equilateral is a triangle with two sides equal

xiii)     Triangle of 45, 45 and 90 is a scalene

xiv)     All the sides of regular polygon are equal

xv)    t is a polygon

xvi)     Rhombus is a parallelogram with all sides equal.

xvii)    This is an obtuse triangle: 10, 40 and 130 degrees.

xviii)   square cm and cm2, both are same.

xix)     Cubic feet or feet3 is the unit of volume

xx)    Number 2,346 is divisible by 6

xxi)     51 is a prime number

153) Base of a triangle is 10 feet and height

  is 5 feet, find the area.

154) Draw a cylinder

155) Draw a cone

156) Write the formula of volume of a

  cylinder.

157) Which is smaller: 23 mm OR 2 cm

158) Ketty is 4 feet tall and Rita is 45 inches tall.

  Which of them is taller?

159) Make feet: 4½ yards

160) An angle measuring 105 degree is

1

Obtuse

 

2

Acute

 

3

Reflex

 

4

Straight

 




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