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Answers Math 7 Grade

NOTE: Wherever the choices are given, either the correct answer is indicated by "x", or it is underlined. Wherever the choices are not given, the answer is printed in italics fonts.

1. Make decimal by TWO methods:

a) 3/8

0.375

b) 13/50

0.26

c) 15 whole number, 3 over 5

15.6 (answer is given in italics fonts)

2. Add the following three numbers:

i) one million two hundred seventeen thousand

ii) ten million five thousand forty

iii) fifty one thousand three

11,273,043

3. Least common factor: 13, 26

26

4. 7.3 will go right, left or between: (Note: The phrase underlined is correct answer)

……… 6.5 ……….. 8.5 ……….

5. if 1050 – a + 950 = 2a + 3200 – 2a, then a = ?

-1200

6. What is more:

35/2 percent of $ 800

or 33% of $ 600 (Note: The phrase underlined is the correct answer)

7. I had 1800 books. 20% I had sold out and 5% I gave to library. Then how many I left?

1350

8. 7½ % of $ 120 = $ …… 9

9. Which is bigger:

2/5, 44%, or 0.391 (the one underlined is true)

10. I purchased a house for $ 45,000. After a few years its price increased by 150%. What is its

new price?

$ 67,500

11. 0.38 of 3000 kilometer

1,140

12. G.C.F. of 66, 78 and 54.

6

13. 3/6 + 25% + 0.3 (answer must be in fraction)

1 whole number 1 over 20

14. How much percentage:

i) 66 out of 200

33%

ii) 330 out of 1000

33%

iii) 54 out of 1080

5%

15. Make percentage:

8/25, 0.28, 1½

32% 28% 150%

16. Add:

3/12 plus 5/8 plus 0.2

43/40

17) Ratio between the salaries of Joseph, Pica and Raju is 8:7:1, if the salary of Joseph is 560 pounds. What is the salaries of Pica and Raju?

Pica $490 Raju $70

19) Divide the amount $ 11000 in such a way that Mr.A gets as much as double of Mr. B and Mr. C gets one third of Mr. A

A2000, B3000, C6000

20) Ratio between the ages of father, mother and son is 2/3 : ½ : 1/3. If son’s age is 40 years. What is the age of father?

80 yrs

21) Make decimal: 34%, 7/8%, 120%, 11/12

,34 .00875 1.2 .92

22) Make fraction: 1.2, 0.75, 50%, 25/3%

6/5 Ύ ½ 1/12

23) 50 x 1,300 65,000

24) 520,000 χ 260 2.000

25) D I V I S I B I L I T Y

Number

2

3

4

5

6

7

9

98811

x

x

700

x

X

2152

x

x

12130

x

X

343

X

26) Make the simplest (lowest) form:

2640 / 3300, 2100 / 700, 45 / 63, 30 / 42

4/5 3/1 5/7 5/7

27) Arrange in ascending order:

36% 0.4 ⅓ 1 0.25 20½

ii iii i iv v

28) Simplify the ratio 30 : 70 : 20

3 : 7 : 2

29) Homer’s age 45 yrs, Rita’s age 60 yrs, ratio between Homer & Rita?

3:4

30) Ratio is based upon _____

(a) Addition & subtraction (b) Multiplication & division (underlined is correct)

31. Ratio between the obtained marks of Julia and Rosa is 1:3, who obtained better marks?

Rosa

32. In the above question how many marks will Rosa obtain, if Julia obtains 1300 marks.

3900

33. What are the six factors of 18

1,2,3,6,9,18

34. Ύ of the population of a town is rich and remaining is poor. What fraction represents the poor population?

1/4

35. Philips radio costs $ 42, Sony radio costs $ 35. What is the standard ratio between their prices?

6:5

36. Commutative property or Associative property?

(a + b) + c = a + (b + c) Associative

b + c = c + b Commutative

37. Simplify the ratio ½ : ⅝ : 2

4:5:16

38. Is 18 a factor of 84?

no

39. a + 0 = a, this is an example of ____ Identity

Additive

40. any number having exponent zero equals to .....

one

41. 0.32000 = 0.32 F/T true

42. 0.567 = .05670 F/T true

43. 56 x 1 = 56; this is ____ identity.

Multiplicative

44. if a = -3, b = 5; evaluate –a + b2

28

45. if m = -2; evaluate –5m + m3

2

46. if x = 1, y = 0, evaluate 4x – 9y - x4

3

47. Sum of 7 and 2 is 7 + 2 and difference is _____ 7 - 2

48. Product of x and y is ________ xy

49. My age is x years. What was my age 6 years ago

X - 6

50. My age is x years.What would be my age after 6 year

X + 6

51. Double of b is 2b and half of b is _____

b/2

52. Solve: Ύ - 3½ + 4 1 Ό

53. Robert worked the whole month of April but only weekdays (not weekends). He made $ 60 a day. What was his total income in April?

$ 1,320

54. The time is 20 minutes past 12. What kind of angle the two needles make?

Obtuse

55. The time is Quarter to 1. What kind of angle the two needles make?

Obtuse

56. Select a time when the straight angle is made by the needles.

6 O’clock

57. I add a decimal number in 34.2, I get 49.77, what number do I add?

15.57

58. I multiply a number by 328, I get 1312. By which number I multiply.

4

59. I divide a number by 1236, I get 206. By which number I divide?

6

60. a)100 means hundred or ____ b)1000 means thousand or ____ c)1,000,000,000 means billion or ____

hecto, kilo, giga

61. 1/100 means ____ and 1/1000 means ____

centi, milli

62. Which is smaller centi or milli? mili

63. Milli means ___ a)thousandths b)hundredths

64. Match

Hecto - 100

Kilo - 1000000000

Giga - 1000

65. Price of one dozen books is $ 360. What is the price of 5 books?

$ 150

66. 349.78 x 1 = 349.78 F/T true

67. –7x + y4

what is the co-efficient of x, what is the co-efficient of y, what is the exponent of x?

-7, 1, 1

68. Write in decimal: 235/100, 5/1000, 6423/10

2.35, 0.005 , 642.3

69. If 0.5a = 73.5, find a

147

70. A group of soldiers eats 5 breads a day. How many breads they eat in May and how many in June?

155, 150

71. a=1, b=-2, c=3, d=0, evaluate: d(a + b – 3c)

zero

72. 45m is same as “m multiply 45” F/T

true

73. Find quotient & remainder: 882537 divided by 22

40115R7

74. Find quotient & remainder: 7614281 divided by 25

304571R6

75. …… - 23.5 = 891.13 (fill in the blank)

914.63

76. ….. x 12.3 = 8118

660

77. 1539 is what percent of 5130?

30%

78. 161 is what percent of 230?

70%

79. What is the 15/2% of 840 miles

63

80. Solve ⅔ of 111111 yards

74074

81. 0.01 of 2398 cm (give the answer in mm)

239.8

82. Which is smaller 2.400 or 2⅓

83. Which is smaller 8.011 or 9⅜

(without solve i.e. oral)

84. Which is smaller 11.893 or 14

(without solve i.e. oral)

85. solve 4(9.23 – 0.024 x 100 + 1.1) 31.72

86. Ratio between the prices of table and chair is 90:60. What is the price of Chair, if the price of table is 21 dollars.

$ 14

87. Ratio among the salaries of Mr.X, Mr.Y and Mr.Z is respectively 42:14:56. What is the salary of Mr.X and Mr.Z, if Mr.Y’s salary is $ 700.

$ 2100, 2800

88. A B C D

01 : 05 : 02  :  04

20 : 100 : 40 : 80

45 : 225 : 90 : 180

7 : 35 : 14 : 28

89. (44 – 20.20 x 2.0) + (3 + 2/5 x 3)

7.8

90. Multiply 41.2 by 0.105

4.326

91. Multiply 0.004 by 1009

4.036

92. If the ratio between the ages of Baby Saira and her grandmother is 1:4, it means grandmothers ___ times older than Saira.

four

93. If the ratio between the weights of Kol and Bol is 2:1, it means ____’s weight is half than _____.

Bol, Kol

94. Is 4321 divisible by 7? By 6? By 9? By 10?

No No No No

95. 0.3 and 3.0 are (a)same (b) not same

96. 34.34 and 34.340 are (a)same (b) not same

97. 100 and 100/1 are (a)same (b) not same

98. What is the remainder if 261295 is divided by 24.

7

99. What is the quotient if 127162 is divided by 31.

4102

100. Write any five numbers each of 3 digits divisible by 6

101. Write any five numbers each of 4 digits divisible by 9

102. Is 680 divisible by 7?

No

103. What numbers of the followings are the factors of 28:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 20, 27, 28

104. Which numbers of the following are the factors of 33: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 33

105. 15% of my wealth I invested in the business, 8% I gave to charity and 2/3 to wife. What percent left? 11%

106. Factorize: 650 2x5x5x13

107. In first store an item costs $ 40.50 with 12½ percent off and in second store the same item costs $ 55 with ½ off. Determine in which store the item is cheaper?

108. A package of meat is enough for 20 cats for 30 days. If 5 cats moved to another state, for how many days the same quantity of meat would be enough?

40 days

109. Write in numbers:

i) Fifty two million, five hundred three thousand. 52,503,000

ii) Seventy thousand seven 70,007

iii) One billion, fifty five million, three hundred sixteen thousand eighty five 1,055,316,085

iv) Twenty million, five hundred thirty thousand, one hundred twelve. 20,530,112

110. I have $ 175, Can I buy 3 shirts, 2 jackets and 1 Fax machine. See the price list below:

Fax machine: $ 85

Shirt: $ 15.50, Jacket: $ 20

Yes

111. A shopkeeper purchased a typewriter from the wholesaler $300. He puts percentage markup of the typewriter as 15%. What is the price of the typewriter for the customer?

$ 345

112. 1.3 x 100 x 200 = ……… 26,000

113. Make decimal: 5½%, ⅞, 1Ύ

0.055 .875 1.75

114. Make fraction: 50%, 2.005, 0.33

½ 401/200 33/100

115. A customer gave a bill of $ 20 to the cashier. He purchased an item for $ 6.00. If the sale tax is 8%. How much money the cashier will return him?

$ 13.52

POLYGONS:

116. Octagon has … angles & sides. 8

117. Heptagon has … angles & sides. 7

118. Hexagon has … angles & sides. 6

119. Pentagon has … angles & sides. 5

120. 2.33 x ….. = 4.66 2

121. 2.33 x …. = 466 200

122. 2.33 x …. = 2330 1000

123. 2.33 …. 15 = 0.156 (x, χ)

Combine with a line:

124) having 3 sides but not 3 angles,

is not a triangle.

125) An obtuse angle triangle

126) having 4 sides & 4 angles

is a quadrilateral

127) Pentagon

128) Octagon is a polygon which has six sides and six angles F/T

False

129) write “increases” or “decreases”

a) Price …. If there is discount. decreases

b) Price …. If there is percentage markup. increases

c) Price …. If there is sale tax. increases

d) Price …. If there is off decreases

130) How much total money will I pay if I buy a

machine for $ 400 with the sale tax 8.25%?

$ 433

131) A few lines meet together on the same point. What is the sum of the angles?

360

132) Determine the kind of triangle:

     A) Scalene    1.Obtuse angle

     B) Equilateral 2.Acute triangle

     C) Isosceles 3. Right triangle

Angles 1000 200 600

A

1

Each angle 600

B

2

Two angles 450 each

C

3

Sides 3” 3.5” 4”

A

2

Sides 1.2” 4” 4”

C

2

One side 2” second double of it and third three times of it

A

2

One side 3” and other two Ύ of it

C

2

133) Can you make a triangle having angles 110, 65, 45 degrees?

No

134) We … the exponents in multiplication

(i) add (ii) subtract (i)

135) We …. the exponents in division

(i) add (ii) subtract (ii)

136) Add (simplify):

(i) 3ab – ab + ac – 5bc + 2ab + 6ac + 2bc

4ab + 7ac – 3bc

(ii) -12a4 – a + a4 + 3a – a + a - 10a

-11a4 - 8a

(iii) 9a2b + 4ab2 – a2b + 2ab2 + 7a2b + a2b + 4ab2

10ab2 + 16a2b

(iv) 2c2 – 4c2 + c – 2c + c + c2 + c - 100c

-c2 - 99c

137. z4 = z x z x ………..

z x z

138. 105 = 10 x 10 x 10 x ………….

10 x 10

139. 100,000,000 = 10 exponent …….

6

140. 0.8371  = 8371 / .....

 10000

141. 1.23 = 123 / ....

100

142. Write one million and convert it into 10 exponent

106

143. Write one billion and convert it into 10 exponent

109

144. 231 x 1,000,000 = …….

231,000,000

145. 9.8, 9.80, 9.800, 98/10, ALL same F/T

146. 1.24, 12.4, 124.0, ALL same F/T

147. 32.25 x 103 is a scientific notation F/T

148. 4.12 x 1,000 is a scientific notation F/T

149. 2.41 x 104 is a scientific notation F/T

150. 25,500 is a standard notation F/T

151. Change into scientific notation: 1270

1.27 x 103

152. Change into scientific notation: 2070000

2.07 x 106

153. Make scientific notation and check answer:

i) 70,000

7 x 104

ii) 7 7 x 100

iii) 275,000

2.75 x 105

iv) 9090

9.09 x 103

v) 225

2.25 x 102

154. If the decimal moves to the right, the

value ….. (increased, decreased)


155. Solve: 345 multiply 10
6

345,000,000

156. Scientific notation:


A) 2359.1 x 106 = 2.3591 x ……

109

B) 184 x 108 = 1.84 x …….

1010

C) 0.412 x 105 = 4.12 x ……..

104


D) 71.5 x 10-7 = 7.15 x ……..

10-6

E) 763 x 10-6 = 7.63 x ………

10-4

157. Answer must be in the form of scientific notation:

i) 1.21 x 10-3 x 4 x 107

4.84 x 104

ii) 3.41 x 107 x 7.21 x 104

2.46 x 1012

iii) 4.1 x 10-5 x 5.11 x 104

2.1 x 100

iv) 3.28 x 108 x 2.34 x 109

7.7 x 1017

v) 2.3 x 10-6 x 2.18 x 10-2

5.014 x 10-8

158. This is a …….. Quad.

159. The sum of its angle is ….. 360

160. Triangle with two angles measuring 20 and 70 degrees is a …… triangle. Right/Scalene

161. Base2 + Perp2 = Hyp2, This is a … ..… theorem

Pythogorean

5. Is it necessary that all the angles of Rhombus are right angles. No

162. Figure not closed is (a)not a polygon (b)a polygon.

163. A regular polygon has all the angles and sides (a)equal (b)unequal

164. Polygon having the least number of angles is ……… three

165. Polygon with 7 sides and 7 angles is a ……..

Heptagon

166. This is not a polygon. Why?

Not closed

167. Every Square is also a Rhombus. F/T

168. Every Rhombus is also a Square. F/T

169. Trapezoid has only ….. sides parallel.

(2, 3, 4)

170. Which in the following are not Quadrilateral:

A) Square C) Circle

B) Trapezoid D) Parallelogram

E) Rectangle

F) Right angle triangle

171. Radius is bigger than diameter F/T

False

172. Simplify, wherever possible:

i) a3b + ab3 – 2ab3 – a3b + 17ab3

16ab3

ii) 9a2 + a4 – a2 – 5a – (6a4 + a2 – 2a)

-5a4 + 7a2 – 3a

iii) –m(3y – 3m – 6) + 6(m – 4ym) + m

3m2 – 27my + 13m

iv) a + a3 + a4

No

v) k3p + 2k2p – kp2 - 7kp3

No

vi)100m2 + 50m5 – 200m2 + 80m3 + 10m

50m5 + 80m3 – 100m2 + 10m

173. Factorize, where possible:

A) –12wt2 + 42t2 + 66 t3y

-6t2 (2w – 7 – 11ty)

B) 15p(k + 9) – 25pr(k + 9) + 5p2(k + 9)

5p(k + 9)(3 – 5r + p)

C) abc + ad + bc

Unsolvable

D) 2(a + b) - m(a + b) + 6z(a + m)

Unsolvable

E) 330d2t3

2.3.5.11.d.d.t.t.t

F) 89 Unsolvable

G) ab + ac + 4b + 4c

(b + c) (a + 4)

174. In a primary school, if the total number of students was 800, and if 332 were boys, were there more boys or girls at this school? 468girls

175. 150 sweets can be packed into one

cardboard box. How many sweets can be packed into 160 such boxes? 24,000

176. A man put 800 books evenly into 25 boxes. How many books were packed in each box? 32

177. 757 is a composite number. Y/N No

178, There are 6 books in one bundle. If all bundles contain the same number of books, find the total number of books in 4 bundles. 24 books

179. Find the number of days in 10 weeks. 70

180. Jacob had 160 oranges and 140 apples. Alen had 148 oranges and 152 apples. Who had more pieces of fruit? equal

181. A carpenter made 250 tables during one month. If he made the exact number of tables each day, and he had worked 25 days during this month, how many tables was he able to make each day? 10 tables

182. 78.9 and 78.9000 is the same F/T True

183. 25 and 25/1 is the same F/T True

184. 78 and 0.78 is the same F/T False

185. 10/6 x 60/7 14-2/7

186. Convert the following fraction into a decimal:

47/125

A) 0.476 B) 1.376 C) 0.376

187. Find the cube root of 64: 4

188. Find the missing number: 35 x ____ = 1225

35

189. Which numbers are perfect sq.

400, 81, 249, 121, 125, 900, 75, 625

190. If x = 0 and y = -18, evaluate: x + y – 5

-23

191. Find the quotient for: 78,160 χ 10

7,816

192. On Sun my bank balance was $ 390. On Mon I withdrew a certain amount. On Tues I withdrew the double amount of Mon’s. On Wed I deposited $ 10. Then I have the bal. $ 100. Determine how much did I withdraw on Mon and Tues?

$ 100 & 200

193. Find the value of y in -7y = 0

0

194. Find the GCF of the following two numbers:

72, 26 2

195. Sam deposited $33x in January, $36x in February, and $30x in March. If the total amount deposited is $792, what is the value of x? 8

196. 15.2, 25.3, 35.4, ………., ………..

45.5 55.6

197. If x = 7, evaluate: 9x + 1 64

198. If it costs $16 to buy 4 wallets (of the same type), find the cost of one wallet. $4

199. 112 boys and 142 girls from second grade and 136 boys and 130 girls from third grade went to a camp. From which grade were there more students at the camp? 3rd grade

200. Find the missing number: -5, -1, 3, …, …

7, 11

201. Evaluate 13 x _____ = 130 10

202. Find the value of x in 6 - x = 13 -7

203. True or False? 173/500 = 0.336 .346

204. How many hours are there in 1 year (if it is not a leap year)? 8760

205. Square root of: 289 17

206. How many hours are there in 2 days? 48

207. There were 79 bicycles in Peter’s shop. He bought 30 more bicycles. Then he sold 42 bicycles. How many bicycles are left now. 67

208. Square root of 8100 90

209. Leap year is a year which ……………

Divisible by 4

210. If 2349 is divided by 20, find quotient and remainder. 117 R 9

211. Find the 8% of 19 1.52

212. Julie’s mother gave her $781 for her monthly expenses. If she spent $25 each day in May, how much money did she have left at the end of that month? $ 6

213. Find the Greatest Common Factor of the following three numbers: 90, 54, 24 6

214. In Paul’s shop there were 90 plums. He noticed that 13 of them were rotten and threw those into the compost. He sold the remaining plums at the rate of forty cents each plum. If he purchased all the 90 plums for $ 25. How much profit he gained?

$ 5.80

215. 6 labors can complete a construction work in 20 days. How many labors are required if the work has to be completed in 15 days? 8

216. True or False: If x = 7, 5x + 9 > 54 F

217. Find the value of x in 0 - x = 17 -17

218. Find the missing number:

2, 3, 5, 7, 11, ….. , ..… , …… 13, 17, 19

219. At a magic show, the total number of tickets sold for both performances on Monday was 730. On Tuesday 426 tickets were sold for the matinee and 364 for the evening performance. On which day were more tickets sold? Tues

220. Find the Quotient and the Remainder for:

252,193 divided by 12 21016 R 1

221. True or False? 0.005 = 0.500 False

222. Square root of: 22500 is ….. 150

223. Find the GCF of the following two numbers:

128, 72 8

224. Richard had to solve the problem: 175 χ 10 He said that the quotient was 17 and that the remainder was 10. Was Richard correct? No

225. 10/14 + 6/12 and simplify, if possible.

17/14

226. Find the missing number: 1800 = 6 x ___ x 15

20

227. If x = 2 and y = 4, evaluate: 20x + 4y + 12

68

228. What is the coefficient of x in the expression:

12x + 7 12

229. $ 18.10 is what percent of $ 72.40? 25%

230.There are 22 classes in a school. If there are 25 students in each class, how many students are there at the school altogether? 550

231. Convert the following fraction into a decimal: 15/25 0.6

232. Is 3 a perfect square? No

233. Find the Least Common Multiple (LCM) of the following two numbers: 7, 7 7

234. <, > or =

a) 200321 ___ 89267 b) 0.71 ___ ⅝

> >

235. 10008 will go Left, Right or Between

..... 104 .....  105 .......

Between

236. 399 will go Left, Right or Between

....  456 ....  9812  ....

Left

237. 19875 will go Left, Right or Between

....  456 ....  9812  ....

Right

238. 3211 will go Left, Right or Between








Left


betweenenn


right


9765 23111

239. Add one million fifty thousand nine AND thirty five million seven hundred fifty one thousand

36,801,009

240. Subtract Eight thousand five hundred twenty two FROM Two hundred thirty five thousand one hundred thirty eight 226,616

241. What is the 8 percent of 19 1.52

242. Robert had $ 600. He spent 15% of this amount for his food, 40% for his college fee and the remaining money for house rent. How much amount he spent for house rent? $ 270

243. Greatest Common Factor of 30 and 84 6

244. Least Common Multiple of 16, 12, 30 240

245. < > =

a) 12½ % of $ 160 ___ 0.5 of $ 32 >

b) 0.75 ___ ⅝ > c) 2⅓ ___ 2.33 =

246. Richard obtained 560 marks out of 700. How much percentage he got? 80%

247. Make decimal and percentage both: ⅝

0.63 & 63%

248. Multiply 0.423 and 0.65 0.27495

249. divide 17)0.4138, find quotient and remainder

A0.0243 remainder 7

250. Add 2 & 3

9 12 17/36

251. Make fraction: 6⅔ % 1/15

252. 71 is what percent of 76? (approx) 93%

253. Simplify: 7⅓ - 9Ό + 2⅔ Ύ

254. 14 21 5

25 , 15, 12 Add 713/300

255. Multiply 48 and ⅞ 42

256. Joe earns $ 440 per week and saves 10% of his weekly salary, while Debbie earns $ 352 per week and saves 12½ % of his weekly salary. Who saves more and how much? equal

257. If A:B = 6:2 What is A if B is 6 18

258. 5 is what percent of 40 12½ %

259. 12.318 χ 6 2.053

260. 12.318 χ 0.6 20.53

261. 123.18 χ 0.06 2053

262. Convert 81% into decimal 0.81

263. Divide: 152.38 χ 0.1 1523.8

264. Divide: 152.38 χ 0.001 152380

265. ⅛ - 1.20 + 15% (answer in decimal)

266. Round up the decimal : 23.782

(tenth place) 23.8

267. Round up the decimal: 99.032

(hundredth place) 99.03

268. Arrange in ascending order: 8%, 0.079, 0.9

0.079, 8%, 0.9

269. Multiply: 0.015 x 1.5 x 0.1

0.00225

270. What is the Reciprocal of 21?

271. What is the Reciprocal of a

b

272. If A:B = 6:13 What is A if B is 91 42

273. Convert 5½ % into decimal 0.055

274. Determine the value of B if A=6 and the ratio of A:B = 2:5 15

275. 300 x 2000 = ….. 600,000 = 6 x 105

276. 12000 x 40 = …… 480,000 = 4.8 x 105

277. A ratio of 1:5 says that the second number is five times as large as the ___. First number

278. Is 1024 divisible by 2, 3, 4, 5, 6, 7, 9 and 10

279. Which is greater: 1.65, 160%, 1Ύ

280. Determine the ratio of 24 to 40. 3:5

281. Divide 2/9 by 12 1/54

282. Ratio between the salaries of Son and Father is 2:3. Father’s salary is 1200 dollars. What would be the salary of the son? $800

283. Which numbers are divisible by 2, 3, 4, 5, 6, 9:

203, 42111, 774, 2005, 89, 112, 5551, 19

3,9 2,3,6,9 5 2,4

284. What are the four factors of 6? 1, 2, 3, 6

285. Simplify the fraction: 42

66 7/11

286. What is ratio of A to B if A=32 and B=44?

8:11

287. Mother’s weight is 150 pounds. Her daughter’s weight is 60 pounds. What is the ratio between their weights? 5:2

288. Are 749, 1162, 4851, 5323 divisible by 7?

289. Factors of 90 are 1,2,3,5,6,9,10,15,18,30,45 and 90 T/F True

290. Find Least Common Denominator

1 5

9 12 36

291. How can you prove that the number 3916757 can be divided completely by 13.?

292. Divide $ 720 among three persons in such a way if one person gets $5, then second person gets $6 and third person gets $1. $ 300, 360, 60

293. 5(F – 32) = ……. C

9

294. Commutative property: When two numbers are added, the sum is the same regardless of their order for example 2 + 3 = 3 + …. 2

295. Associative Property: When three or more numbers are added, the sum is the same regardless of their grouping, for example:

(2 + 3) + 4 = 2 + (3 + …) 4

296. Additive Identity: When zero is added in a number, the sum will be the same as number. For example: 5 + 0 = …. 5

296a. 0.6, 0.60 and 0.600, all of these three are

(a)equal (b)not equal

296b. Multiplicative Identity: If a number is multiplied by 1, the product will be the same as number, for example: 10 x 1 = …. 10

296c. Find m, if –12m = 600 -50

296d. How many centuries are there in 900 years?

9

297. (a + b) + c = a + (b + c) is an ….. property

Associative property

298. Write in algebraic expression “sum of x and 7”

x + 7

299. 2/10 - 8/10 -3/5

300. Natasha used to buy the same amount of milk every day. In May, she bought a total of 62 liters of milk. How much milk did she buy each day in May? 2 liters

301. Is 61 a factor of 4596? No

302. Find LCM of 5, 31 155

303. x/1 and x are the same. F/T True

304. If the time in the clock is 12:15. What angle the two needles make. Right angle

305. If the time in the clock is 11:20. What angle the two needles make. Obtuse angle

306. When Sherry divided a number by 7, she got 4 as the answer. Find the number that had been divided. 28

307. 100 + 10 = 10 + 100 is an ….. property

Commutative

308. One Giga means One Billion and its mathematical value is …….. 109

309. Additive Identity is …. and Multiplicative identity is ….. zero

310. Kilo means …., Milli means …., Decto means …., Centi means ….

1000, 0.001, 100, 0.01

311. (A) Commutative property of addition v

(B) Associative Property of addition iii

(C) Commutative property of multiplication ii

(D) Associative Property of multiplication iv

(E) Additive Identity Property I

(F) Multiplicative Identity Property ii

i) x + 0 = x ii) 1 (6) = 6

ii) 3 x 4 = 4 x 3 iii) 2 + (1 + 3) = (2 + 1) + 3

iv) 5 x (1 x 9) = (5 x 1) x 9 v) 9+2 = 2+9

312. Milli means (a)Thousandth (b)Thousand

313. Kilo means 1000(thousand)

Hecto means 100(hundred)

Centi means 0.01(Hundredth)

Milli means 0.001(thousandth)

All these False/True T

314. A pencil factory manufactures 481 boxes of pencils every 13 days. How many boxes of pencils are manufactured each day? 37

315. Total number of students in a school are 524. 263 are girls. What gender has the school more?

girls

316. Mega means Million and its value 102

F/T False

317. What is the coefficient of y, 12y - 7

12

318. 1/100 is the same as the decimal ______.

0.01

319. (2/9) χ (4/9) = ________ ½

320. A factory produces 280 boxes in one day. How many boxes will be produced in the month of April?

8400

321. If x = 3 and y = 1, evaluate: x3 – 3y 24

322. 57,219 + ____ = 89,075 31,856

323. 352251 is divided by 17, find quotient and remainder. 20,720, 11

324. 843507 is divided by 21, find quotient 40,167

325. What is the 40% of dollars 30? $ 12

326. 14 is what % of 63 22-2/9%

327. 76 is what % of 82 92-28/41%

328. –6 is ____, y is the ____ and 2 is ____

Coefficient base exponent

in -6y2

Mark <, > or equal to

329. 45% of $ 300 ____ ⅞ of $ 152 >

330. 0.05 of 1 kilometer ___ 50 meter =

331. (5.3 – 1.04) ____ 2 + 2½ <

332. 4 multiply 24 divide 5 ____ 1.2 x 3 + 1 >

11 40 121

333. Solve: 3(0.02 – 0.1 + 1.002) ___ 2/3 χ 4/9 >

334. 5 ___ 20/6 >

335. Multiply 46.2 by 7.02 324.32

336. Add 11.02 and 2.1 and multiply the sum by 0.0004 0.005248

337. (11.4 – 9.12) x 1000 2280

338. If A:B = 7:17 What is B if A is 42 102

339. If the age ratio between Sara and Baby is 42:18, What is Baby’s age, if Sara is 14 6

340. A ratio of 1:5 says that the second number is ___ times as large as the first. five

341. What is ratio of A to B if A=16 and B=136? 2:17

342. How many total shares are there in the ratio 7:8:1 16

343. Is 63434 divisible by 7? yes

344. 1/7 and 7 are the same. F/T false

345. .645 and .645000 are same F/T true

346. .645 and .0645 are same F/T false

347. 7 and 007 are same F/T true

348. x and 1x1 are same F/T true

349. What is quotient and remainder if 6813000 is divided by 22 309681, 18

1 2 3 4 5 6 7

11754, 11115, 3724, 811, 1010, 251, 552

350. What numbers are divisible by 2 1,3,5,7

351. What numbers are divisible by 3 1,2,7

352. What numbers are divisible by 4 3,7

353. What numbers are divisible by 6 1,7

354. What numbers are divisible by 5 2,5

355. What numbers are divisible by 7 3

356. What numbers are divisible by 9 1,2

357.Which of the following are not the factors of 54:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 21, 27

358. Simplest form of: 210 7/5

150

359. Convert 1220 Fahrenheit into Celsius temperature.

360. Factorize 42 1,2,,3,6,7,14,21,42

361. Which numbers in the following are divisible by

Eleven: 895 2464

10648 6709238

234678 31944

362. Divisibility ?

By4

By6

By7

By9

By11

By13

278600 x

x

X

8473608 x

x

x

x

X

2609464 x

x

X

952 x

x

1325183

323136 x

x

x

378 x

x

x

x

914561

216216 x

x

x

x

X

2056789

x

x

123456789

Solve:

363. (9/1)5 – 4 = ___ 41

364. 2/(3-8)-5 = ___ -27/5

365. (6+5)-8+4 = ___ 7

366. (9x8)/(1+7) 9

367. (1-3+2)*3 0

368. 5+[3-(5+9)] -6

369. 7+{(9*3)/8} 83/8

370. 2+3[4+(6*3-8)]2 86

371. 3 (12.7 – 9.7) + (0.6 + 1.002)2 12.204

372. 4 x (3-1) = 4(3-1) F/T True

373. 1/10000 and 0.001 are same F/T False

METRIC UNITS:

374. Kilo means thousand (1000)

Hecto means hundred (100)

Deca means Ten (10)

Mega means Million (1000000)

Giga means Billion (1000000000)

False/True

375. Milli means thousandth (1/1000)

Centi means hundredth (1/100)

Deci means tenth (1/10)

Micro means millionth (1/1000000)

False/True

376. 0.001 is ____

(a) centi (b) kilo (c) hecto (d) deci

377. Deci is more than ONE F/T False

378. Hecto is ____ than ONE more/less

379. 0.0001 is ____

(a) centi (b) kilo (c) hecto (d) milli

380. Which is smallest: Deci, Milli, Micro, Centi

381. Convert 10 degree Celsius into Fahrenheit scale.

382. 100 is ___ (hecto, kilo, deca)

383. 5000 meters is equal to ___ kilometer

5

384. 0.5 cm = ___ mm

5

385. 20 m = ___ cm

2,000

386. 3.42 km = ___ m

3,420

387. 900 centimeter = ____ meter

9

388. 45789 meter = ____ km

45.789

389. 23 centimeter = ____ millimeter

230

390. Symbol of centi is c and centimeter is ___

cm

391. Symbol of milli is m and millimeter is ___

mm

392. Symbol of Kilo is ___

k

393. Water freezes at _0__o Celsius (Centigrade) and boils at _100__o Celsius (Centigrade) which is a difference of 100o. Water freezes at __32_o Fahrenheit and boils at _212_o Fahrenheit which is a difference of __180_o.

394. 100 millimeter = ___ centimeter

10

395. C = ( …… - 32)

9 F

396. 4 degree C = ___ degree F

39.2

397. – 15 o C is equal to how many o F

5

398. Kumar had $ 300 with him. He purchased 2 shirts and 5 ties. How much money did he leave? (Prices: per shirt $ 14, tie $ 4.50) $ 249.50

399. 72 degrees Fahrenheit = ___ degrees Celsius

22.3

METRIC UNITS OF WEIGHT

400. 1000 grams = 1 kilogram

100 centigrams = 1 gram

10 milligrams = 1 centigram F/T

3. 5.37 kg = ___ g

5370

401. 1/100 gram = 1 ____ centigram

402. 1 gram = ____ milligrams 1000

6. 0.5 kg is ____ than 450.00 grams

(a)lighter (b)heavier (c)equal

403. Ounce, Pound and Ton are the Customary units

of ____

(a)length (b)mass or weight (c)volume

404. 2000 pounds are there in a ton, how many ounces in one pound?

16

405.Gallon, quart, pint and ounce are the units of __

(a)length (b)mass or weight (c)volume

406. 1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = ___ ounces 8

407. How many ounces in one gallon?

A

408. How many gallons make 80 quarts? 20

409.(a) This is a ___ angle triangle Rt

(b) AB is a ____ Hyp B

(c) AC is a ____ Perp C

(d) BC is a ____ Base

(e) which is the biggest side AB

(f) Angle A and angle B are ____ angles. Compl

(g) If AB is 2500 cm long, BC is 1600 cm long,

what is the length of AC. 1921 cm

410. Which volume is bigger: 1½ pints or 20 ounces

411. What is the price of 2 ounces brake oil, if one cup brake oil costs $ 6.00

$ 1.5

412. Hecto means 100 and Kilo means ____ 1000

413. What is the smallest unit of length in Customary system?

inch

414. What is the largest unit of length in Customary system?

mile

415. How many inches in 1Ύ feet ?

21 in

416. Which is bigger? 2½ yards OR 80 inches

417. One angle of a triangle is 25 degree, second angle is 75 degree. What is the size of third angle?

80

418. Is the above one a right angle triangle?

No

419. A frog travels 10 feet in one minute. How much distance does it travel in one and half hour? (give the answer in Furlong or mile) 1 Furlong 80 yds

2. <, > or = 1 inch ___ 1 centimeter >

2 ft ___ 1 yard <

2 miles ___ 3520 yards =

10 mm ___ 1 cm =

440 yards ___ 2 furlongs =

10 yards ___ 28 feet >

1/1000 km ___ 1 m =

420. How many years are there in 2½ centuries?

250

421. How many minutes in one day? 1440

422. I breathe 40 times in three minutes. How many times I breathe in two hours? 1600

423. Riba’s weekly salary is $ 200. How much money he will earn in two years? $ 20,800

angle 1 angle 2

a) which angle is bigger?

b) if angle 2 is 35 , what is the size of angle 1? 145

c) if the pair of supplementary angles is adjacent to each other, they make intersecting lines or parallel lines or perpendicular lines. intersecting

425. How many years in 2½ decades? 25

426. Year divisible by four is called ___ year such as 1940, 1948 or 1980 etc. Leap

427. January has _31_ days, April _30_ days, June _30_ days, Sept _30_ days, Feb _28 or _29_

428. What is the change due, if the total purchase is $ 2.35 and a payment for $ 10.00 was given to the clerk? $ 7.65

5. What is the Sale price of a $12.46 item that is 1/2 off? $ 6.23

429. What is the Sale price of a $6.24 item that is 1/3 off? $ 4.16

430. a) 245.612 x 100 = ……. 24561.2

b) 245.612 χ 100 = ……. 2.45612

c) 2462.8 χ 2000 = ……. 1.2314

d) 21.3 x 900 = ……. 19170

431. If the Payment is $20 and the purchase is as below, determine the coins for return change:

Purchase

amount ?

$3.13

$9.20

$19.04

$2.89

$4.03

10 dollars bill

1

1

1

1

05 dollars bill

1

1

1

01 dollar bill

1

2

Quarters

3

3

3

3

Dimes

1

2

1

2

Nickels

5

Pennies

2

1

1

2

432. If I give the bill $ 50 and my total purchase is $ 23.80. Can the clerk give me two bills of $20 in return? No

433. A company gives 6% commission to the salesman, if the sale is $85.86. What commission does the salesman get? $ 5.15

434. Oral estimation (which is correct approx.)

Total sale$

Commission Rate

Amount

1

Amount

2

Amount

3

Amount

4

326

5%

$ 25

$ 17

$ 40

$ 09

298

3.5%

$12.81

$18.11

$20

$10.19

8000

2.2%

$175

$ 200

$ 90

$ 250

202

25%

$41.00

$29.80

$47.81

$50.00

150

1.968%

$ 2.99

$ 10

$ 15

$ 5.50

995

4%

$39.36

$45.25

$19

$25

435. Earning of sale is dollars 807, what is the amount of commission in dollars if the rate is 7%?

$ 56.50

436. If Ali gets commission $ 18 on the earning $ 600, what is the rate in percentage? 3 %

437. What is the sale price of an item costs $ 56.40, if Ό off. $ 42.30

438. Furniture is on sale with the 20% discount. Original price of a chair is $ 25. How much money will Rusa pay if she buys three chairs? $ 60

439. Camera is on 10% discount and VCR on 15% discount. I purchase two cameras and three VCR. What total amount I have to pay?

Actual price of Camera $ 370, Actual price of VCR $ 450

$ 1813.50

440. a) 72300 x 3000 = _______ 216900000

441. Insert bracket: -7 + 2 x 5 = -25

(-7 + 2) x 5

442. The cost of an item is $ 4 and its percentage markup is 25%, what is its sale price to the consumer? $ 5

443. Make fraction: 0.08, 0.125, 12½ %

2/25 1/8 1/8

444. Multiply 1.5 by 10,000 15,000

445. Multiply 0.009 by 2000 18

446. Divide 262.08 by 300 0.8736

447. Divide 0.8 by 1,000,000 .0000008

448. What is the change due, if the total purchase is $ 21.85 and a payment for $ 50.00 was given to the clerk? $ 28.15

449. A customer made a purchase of $ 300, if the sale tax is 6%, how much amount will he pay? 318

450. Polygon having 3 sides & 3 angles called ____

Triangle

451. Polygon having 4 sides & 4 angles called ____

Quadrilateral

452. Polygon having 5 sides & 5 angles called ____

Pentagon

453. Polygon having 6 sides & 6 angles called ____

Hexagon

454. Polygon having 7 sides & 7 angles called ____

Heptagon

455. Polygon having 8 sides & 8 angles called ____

Octagon

456. By which number should I multiply 3.51 to make it 351. 100

457. By which number should I multiply 0.3 to make it 6000. 20,000

458. Draw a figure having four sides but not four angles, is it a Quadrilateral? No

459. Draw a figure having five sides but not five angles, is it a Pentagon? No

460. How many sides and angles are there in an octagon? eight

461. The sum of 3 angles of a triangle is ___ degree

180

Kinds of Triangle according to ANGLES

462. Triangle having any 1 angle equals to ____ degree is a right angle triangle. 90

463. Triangle having any 1 angle bigger than ____ degree is an obtuse triangle. 90

464. Triangle having all angles smaller than ___ degree is an acute triangle. 90

465. An acute triangle has ____ smaller than 90Ί.

a)all its 3 angles b)only one angle

466. Can you make a triangular shape with the angles 20, 70 and 100 degrees. No

467. The sum of two angles of a triangle is 30Ί and 40Ί the third angle would be _____. 110

a)right angle b)acute angle c)obtuse angle

468. An ________ triangle has two sides with the same length. Isosceles

469. If all the three sides of a triangle are equal, it is called ______ triangle. Equilateral

470. A ____ triangle has all three sides different lengths. Scalene

471. Π 1 is 150 degree, Π 2 is 40 degree, Π 3 is 70 degree, what is the size of angle 4. 100

472. What kind of angle 4 is? Obtuse




2

1 3

4

473. The cost of a typewriter is $ 120 and its percentage markup is 15%, what is its sale price to the customer? $ 138

474. I bought an item for $ 1500. How much will I pay with the sale tax 5%? $ 1575

475. Which kind of triangle it is:

i) Π A = 10Ί Π B = 41Ί, ΠC = 129Ί Scalene

ii) ΠA = 40Ί ΠB = 50Ί, ΠC = 90Ί Right

iii) ΠA = 50Ί Π B = 31Ί, ΠC = 99Ί Scalene

iv) All 3 angles equal to 60Ί each Equilateral

v) Two angles are equal measuring 45Ί each

vi) Each side is 2.3 inch Equilateral

vii) Two sides are 3.0 inches each but third side

is greater Isosceles

476.Side A = 28”, Side B = 28”, Side C = 28” Equilat.

477.Side A = 1.7”, Side B = 2”, Side C = 1.8” Scalene

478. In a right angle triangle, Base=40”, Perpendicular=30”, Find Hypotenuous. 50”

479. Add 3m3 , -5m3 and -m3

-3m3

480. Multiply 3m3 , -5m3 and -m3

15m9

481. Add 2a2 , 4a , -2a , a2

3a2 + 2a

482. Multiply 2a2 , 4a , -2a , a2 -16a6

483. Divide - 26 d2ck3

- 13ck2 2d2k

484. Divide 8v3z – 22vz2

2vz 4v2 – 11z

485. Multiply (-4b5k + 14 bk2y) 2by2

486. This is a question of (i)Addition

(ii)Multiplication (iii)Divide

(2a) (-17a) (ak) 3

487. Simplify:

i) 2z + z + z 4z

ii) 2z x z x z 2z3

iii) a3b + ab + ab + a3b + ab 2a3b+3ab

iv) a3b x ab x ab x a3b x ab a9b5

v) d + d2 + d3 + d + d2 + d3 2d+2d2+2d3

SCIENTIFIC NOTATION

488) Write without the multiply sign:

i) 19 x 19 x 19 x 19 194

ii) 10 x 10 102

iii) 9345 x 9345 x 9345 (9345) 4

iv) 10 x 10 x 10 x 10 x 10 x 10 106

489) False/True

a) 105 = 100,000 T

b) 103 = 1,000 T

c) 107 = 1,000,000 (one million) F

d) 23.6 = 236/100 F

e) 0.652 = 652/1000 T

f) 45 x 100 = 45,000 F

g) 7 x 10,000 = 70,000 T

h) 2,361 x 10 = 23,610 T

i) 5.34 = 5.340 T

j) 5.3400 = 5.34 T

k) 5.34 = 53.40 F

490) Solve and give the answer without

multiplication sign:

a) 3.89 x 1,000 3890

b) 1.1 x 100 110

c) 2.1111 x 10,000 21111

d) 1.5 x 103 1500

e) 2.111 x 107 21110000

491. Circle the scientific notation expression:

a) 45.3 x 103 b) 4.53 x 103

c) 1.1 x 10,000 d) 8.70 x 100

e) 4.67 f) 3.233

492. Convert into scientific notation and

check your answer:

a) 30400 3.04 x 104

b) 1340 1.34 x 103

c) 65900000 6.59 x 107

d) 6 6 x 100

e) 6.1 6.1 x 100

493. Right or Wrong?

a) 5280 is equal to 52.8 x 103 W

b) 6.71 x 100 is scientific notation W

c) 2.3, 2.30, 2.300, 23/10 ALL same R

d) 1,000 = 103 R

e) If the decimal goes to the left, the value

increased W

f) 0.763 and 763/1000 is the same R

494. Convert the scientific notation into

standard notation:

i) 4.30 x 104 43000

ii) 1.11 x 105 111000

iii) 1.11 x 100 1.11

iv) 8.03 x 108 803000000

495. (A)less than (B)more than (C)equal

i) 34000 …. 8590

ii) 2.17 x 100 …. 8.36 x 10 >

iii) 4.50 x 104 …. 1.11 x 105 <

iv) 2.31 x 103 …. 9.63 x 105 <

v) 606000 …. 7.93 x 105 <

vi) 3.71 x 105 …. 2.91 x 105 >

vii) 7.94 x 106 …… 25,003 >

viii) 6.51 x 103 ….. 6,510 =

496. Write the decimal into scientific notation

and check your answer:

A) 0.00364 = ……. 3.64 x 10-3

B) 0.00000383 = ………. 3.83 x 10-6

C) 0.0000401 = ……… 4.01 x 10-5

D) 342/100000 = ………… 3.42 x 10-3

E) 206/10000 = …….. 2.06 x 10-2

F) 641000 = ……. 6.41 x 105

497. Write the scientific notation into decimal

and check the answer:

i) 7.83 x 10-3 = ………. 0.00783

ii) 1.11 x 10-6 = ………. 0.00000111

498. Convert into fraction:

i) 4.45 x 103 4450

ii) 2.56 x 10-5 2/78125

499. Write the power of 10:

A) 235.4 x 105 = 2.354 x 10 exponent 7

B) 43.1 x 10-4 = 4.31 x 10 exponent -3

C) 8921.5 x 103 = 8.9215 x 10 exponent 6

D) 87.3 x 10-6 = 8.73 x 10 exponent -5

Multiply the scientific notation:

500. (9.3 x 10-4) (7 x 10-6) 6.51 x 10-9

501. (1.7 x 105) (4 x 108) 6.8 x 1013

502. (6.4 x 10-7) (4 x 10-7) 2.56 x 10-13

503. (1.9 x 104) (3 x 10-1) 5.7 x 103

504. (6.8 x 102) (6 x 10-6) 4.08 x 10-3

505. (3.42 x 10-4) divide (1.2 x 10-5)

28.5

506. (5.36 x 105) divide (2.67 x 10-4)

507. (1.98 x 109) divide (1.39 x 107)




508. This figure is ………

(a)polygon (b)not polygon









509. This figure is ………

(a)polygon (b)not polygon




510. This figure is ………

(a)polygon (b)not polygon

511. Regular polygon is a polygon whose all …… are and all …… are congruent.

Sides, angles

512. The measurement of all three angles of equilateral triangle is …… degree. 60




513. This is ……. Triangle.

Scalene & Obtuse

514. Triangle having all the three angles smaller than 90 degree, called ……… triangle. Acute

515. Triangle having only one angle bigger than 90 degree, called ………… triangle.

Obtuse

516. Write the Pythagorean theorem.

517. A polygon having 4 sides and 4 angles, known as ………. Quadrilateral

518. A polygon having 4 sides and all are equal is called ……… (It is not necessary that there angles are also equal). Rhombus

519. The above figure is not a polygon since …….. (a) its angles are not regular (b) it is not a closed figure (3) no angle is 90° (b)

520. Above figure is not a polygon since ……

(a) it is not made of line segments (b) there is only one angle (c) it is a circle (a)

521. The figures below (No.i and No.ii) are the ……. Polygons. regular

(i)(ii)

522. No.i polygon is ……. And No. ii …….

Pentagon, Octagon

523. Triangle is also a polygon. F/T True

524. The sum of the angles of a quadrilateral is …… degrees 360

525. Polygon has at least ….. sides (2,3,4)

526. These are the examples of ……..

Quadrilateral polygons

527. Four-sides polygon having only one opposite pair parallel called ……….. trapezoid

528. The sum of all the four angles of rhombus, square, rectangle or trapezoid is …… degree. 360

529. Every rectangle is a parallelogram. F/T

True

530. Every parallelogram is a rectangle. F/T

False

531. Every square is a parallelogram. F/T

True

532. Every parallelogram is a square. F/T

False




533. This figure is a ……… but

not rectangle. Parallelogram

534. Below is a figure of ……. Pentagon.

(regular, irregular)

535. What is the sum of all its five angles.

540 30 in

536. This is a ……….. Rt Triangle

537. Hypotenuse is ….. than 40

perpendicular. in

(bigger, smaller)

538. Find out its perimeter.

120 in

539. This is a …….. theorem. Pythagorean

540. Above are the examples of ……… Trapezoid

541. Parallelogram has ….. pairs of sides parallel. (two, three, four)

542. A …. sided polygon is known as Pentagon. The sum of all the angles of Pentagon is ……. degrees. Five, 540

543. A ….. sided polygon is known as Hexagon. The sum of all the angles of a Hexagon is …… degrees. Six, 720

544. A ….. sided polygon is known as Heptagon. The sum of all the angles of a Heptagon is …… degrees. Seven, 900

545. A ….. sided polygon is known as Octagon. The sum of all the angles of a Octagon is …… degrees. Eight, 1080

546. Each angle of a regular hexagon is ….. degree. 120

547. Each angle of a regular octagon is ….. degree. 135

548. Check the unit

time

temperature

mass

length

volume

year

x

Fahrenheit

X

Liter

X

Century

x

Yard

x

Cm

x

Pint

x

Ounce

X

centigrade

X

Decimeter

x

Centigram

x

Feet

x

Kg

x

Gallon

X

Quart

x

Celsius

X

549. Measurement of three angles of a Quadrilateral is 110, 65 and 80. What is the size of the fourth one? 105

550. One angle of an Isosceles triangle is 100 degree. What is the size of other two?

40 each

551. Name the angles. F

Vertical angles R M

552. If angle R is 125 degree. D

Measure all other angles.

55

553. One angle is given as 130°

130° Find all other

seven angles.

554. Area of a circle = 3.14 x r2

Note: r means ……… radius

555. One angle of a right angle triangle is 18°

What size of the other is. 72

556. If the sum of two angles is 90°, they are called ……… angles. Complementary

557. If the sum of two angles is 180 , they are called ….. angles. Supplementary

558. Supplementary angle of 34 degree is acute or obtuse. Obtuse

559. Side of a Equilateral triangle is 3.2 cm long. What is its perimeter? 6.9

560. Width of a rectangle is one third of its length. If its length is 18 in, Determine the area and perimeter of the rectangle.

108 sq in, 48 in

561. Area of a square is 64 sq cm. Determine the size of its side and perimeter.

8 cm, 32 cm

562. What is the complementary angle of 80°

10

563. What is the supplementary angle of 80°

100

564. First side of a parallelogram is 2.3 inch long and second side 1.4 inch long. What is the perimeter? 7.4 in

565. Each angle of Rectangle or Square measures ….. degree. 90

566. Circumference of a circle = 3.14 x diameter

F/T True

567. Diameter = double of the ……. radius

568. Radius is 4.5 in, diameter is …… in




569. What is the circumference?

12.56 cm

570. What is the area?

12.56

571. Ali said, “perimeter of an radius 2 cm

isosceles is 35 square inch” What mistake

did he do? 35 in

572. Area of a rectangle is 72 cm2 and width is

9 cm. What is the length? 8 cm

573. Perimeter of a square-shape ground is 4.8 Furlong. What is its area? 1.44

574. 121/700 χ 33/420 x 15 x 110

3630

575.What kind of polygon is it?

trapezoid




576. Diameter of a circular plate is 3 cm. Find the circumference and area. 9.42 cm and

7.065 sq cm

577. Check out the numbers:

Perfect

square

Perfect

cube

Composite

number

Prime

Number

Divisible by 6

1000

x

X

64

X

x

X

73

X

730

X

29

x

1110

X

2500

X

X

8

X

x

3

X

228

X

X

125

x

X

578. co-efficient is …., exponent is ….. and base is …. –b -1, 1, b

579. Find the missing prime number:

53, 59, ….., 67 61

580. Point out the factors forms in the

following:

i) (23a + 1) (5b)

ii) 2.7 x 8 x 0.89

iii) -8 (4c – 1) (c3 – 11)

iv) 2d + 3d + 3d2

v) (2) (3)

vi) 7k(1 + k) + 2k

vii) 5a x 2b - 9

viii) 5a (2b – 9)

581. Simplify wherever you can:

A) 2m – 12m – 10m -20m

B) 2m3 – 12m4 – 10m

C) ab + ac + bc

D) ab + ab + ab 3ab

E) –c2d – cd + 6c2d – 8cd2 + 4cd + 3cd2

3cd + 5c2d – 5cd2

F) k + k2 + 34k4 – 4mk – 8kp + 2k2

k + 3k2 + 34k4 – 4mk – 8kp

582. Factorize: (where possible)

i) -ab + b - b2c -b(a – 1 + bc)

ii) 14d5km2 2.7.d.d.d.d.d.k.m.m

iii) ab - cd

iv) 4(k + 2a) - c3(k + 2a) + (k + 2a)

(k + 2a)(4 - c3 + 1)

v) 55 5 x 11

vi) -4vk2 + 8vk3 - v4k2 -vk2(4 – 8k + v3)

vii) 2ab + 4b + ac + 6a2

583. Factorize: (Whichever possible)

A) c3 – c8 – c +b3c5 c(c2 – c7 – 1 + b3c4)

B) 4m(2b – a3) + 2n(2b – a3) - (2b – a3)

(2b – a3)(4m + 2n – 1)

C) –5(k + 6a) + a(k + 6a) + (k – 6a)

(k + 6a)(a – 4)

D) 8a (k+m) – 2a (k+m) + 4 (k+m)

2(3a + 2)(k + m)

E) a - b + c

F) -14a4bc3 – 21a2b2c2 + 70a3b4c

-7a2bc(2a2c3 + 3bc – 10ab3)

G) 9a3 + 6a4 + 12a + 2b2

584. Value of Φ93 is between:

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

585. Value of Φ27 is between:

a) 5 and 6 b) 6 and 7 c) 7 and 8

586. This is the example of associative property of multiplication:

i) 12 x 13 = 13 x 12

ii) (a+b)+c = a+(b+c)

iii) (ab)c = a(bc)

587. Divisibility:

By 7

By 11

By 13

10318

x

x

76019

1014

X

36400

x

X

207287

94985

x

588. One-third of a number is 8. What would be its half? 12

589. (6/3) χ (1/7) = ________

590. Find the Least Common Multiple (LCM) of the following two numbers: 36, 72 72

591. Is it necessary that all the angles of Rhombus are right angles.

Math Obj 7

1. Joly earns $ 4500 per month and Maria $ 6000 per month. What is the ratio between their salaries?

1

45 : 60

2

3 : 4 x

3

1 : 2

4

2 : 3

2. Kanza, Jily, Roma and Lisa started the business, they agreed to share the monthly profit in the ratio 2:1:3:4. Who got the least profit.

1

Kanza

2

Jily x

3

Roma

4

Lisa

3. Kanza, Jily, Roma and Lisa started the business, they agreed to share the monthly profit in the ratio 2:1:3:4. If Kanza gets $ 7000 at the end of the month, how much Lisa gets

1

$ 8,000

2

$ 3,500

3

$ 14,000 x

4

$ 10,000

4. Kanza, Jily, Roma and Lisa started the business, they agreed to share the monthly profit in the ratio 15:60:5:45. If Lisa gets $ 2700 at the end of the month, how much Kanza gets.

1

$ 1,000

2

$ 3,500

3

$ 12,000

4

$ 9,00 x

5. Divide 300 breads in two men with ratio 1:2

1

150 and 150

2

100 and 200 x

3

100 and 300

4

75 and 225

6.Which ratio in the following is same as 3 : 5 : 6 : 4

1

180 : 300 : 360 : 240 x

2

9 : 15 : 18 : 14

3

5 : 7 : 8 : 6

4

30 : 50 : 80 : 40

7. Ratio between A and B is 1:2 and between B and C is 3:4. What is the ratio among A, B and C

1

1 : 2 : 6

2

2 : 3 : 4

3

3 : 6 : 8 x

4

3 : 5 : 6

8. Least Common Multiple of 12, 6, 16

1

30

2

32

3

36

4

48 x

9. 15 CDs cost $ 60. What is the cost of one CD?

1

$ 5.00

2

$ 60.00

3

$ 12.00

4

$ 4.00 x

10. Joseph can keep 80 pens in 4 boxes. How many boxes he requires to keep 20 pens?

1

0ne x

2

Three

3

Two

4

Five

11. Choose the pair of all composite numbers.

1

25, 1000, 8, 7

2

432, 103, 338, 110

3

213, 105, 49, 77 x

4

111, 11, 222, 22

12. Shila writes ½ in first column, 1/4 in second column, 1/6 in third column, 1/8 in fourth column. What number will she write in fifth column?

1

1/5

2

1/10 x

3

10/1

4

1/12

13. How many weeks are there in one year?

1

52 x

2

48

3

12

4

72

14. A fruit-seller had 99 watermelons on Mon. He sold one third watermelons on Tues. On Wed he purchased 10 watermelons more. On Thurs 2 watermelons became stale. How many watermelons he has on Thurs.

1

Seventy five

2

Sixty

3

Eighty one

4

Seventy four x

15. Which is the same?

1

Ratio 8 : 12 and Ratio 20 : 30 x

2

5 and 1/5

3

3.0 and 0.3

4

50% and 5%

16. Choose the fraction smaller than 1:

1

2/5 x

2

5/2

3

8/7

4

212/211

17. Cube root of 1000

1

100

2

10000

3

10 x

4

25

18. One labor can complete a work in 24 days. How many labors required to complete the same work in 8 days?

1

Three labors x

2

Four labors

3

Two labors

4

Five labors

19. Square Root of 1210000

1

120

2

1200

3

110

4

1100 x

20. 1/3 + 1/3 + 1/3 is equal to:

1

3/1

2

9

3

1

4

1/9

21. Which decimal is bigger than 1

1

0.1

2

0.97

3

0.08

4

1.2 x

22. Which is perfect square

1

82

2

116

3

250

4

400 x

23. If x=2 and y=3, evaluate x2 + y2

1

13 x

2

5

3

9

4

15

24. If n=4, m=5, evaluate m – n + 2

1

3 x

2

6

3

9

4

5

25. Find quotient, if 35445 is divided by 7

1

563

2

6305

3

635

4

5063 x

26. Find the Greatest Common Factor of 44, 28, 60

1

5

2

4 x

3

6

4

8

27. A car travels 660 miles in 8 hours. What is the speed of the car per hour?

1

660 x 8

2

660 χ 8 x

3

8 + 660

4

8 χ 660

28. Mention, not polygon

1

Parallelogram

2

Oval x

3

Trapezoid

4

Equilateral

29. Mention, smaller than 1

1

08.08

2

14/3

3

7/3

4

3/7 x

30. Price of an item is $ P, what is the price of 16 such items.

1

16 + P

2

16P x

3

P + 16

4

16 χ P

31. John had B dollars in his bank account. He deposited 2B dollars yesterday, then he withdrew C dollars today. What is his balance account now?

1

B x 2B χ C

2

3B – C x

3

2B + B + C

4

2BC

32. 6 bags weigh 24d + 30 gram. What is the weight of one such bag?

1

9 gram

2

30 gram

3

5 + 4d gram x

4

d + 5 gram

34. Speed of an aircraft is b miles per hour. In how many hours can the aircraft travel p miles?

1

p/b

2

Pb

3

b/p x

4

2pb

35.I think a number. I double it, then I multiply it by 8

1

16x x

2

8x

3

2x + 16

4

2x + 8

36. Sum of a number and its half is 20

1

1/2x = 20

2

2x = 20

3

2x + x = 20

4

x + x/2 = 20 x

37. Difference of two numbers is 100

1

2A = 100

2

A – B = 100 x

3

2A + 2B = 100

4

3B = 100

38. I had X dollars. My friend had Y dollars. I gave P dollars to my friend. How much he has now?

1

X + P

2

Y + P x

3

X + Y

4

X – P

39. I had X dollars. My friend had Y dollars. I gave P dollars to my friend. How much I have now?

1

X + P

2

X – Y

3

X + Y

4

X – P x




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