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 plus11plus12
131313
4. 1¼minus5/6plus11/12
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 as5⅔ kg. In Feb his
pet loosed its weight by 1⅓
kg. In Mar it
gained the weight by ½ kg. What isits 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 place0.065
13. Write: 4 billion 231 million, 514 thousand 89
14. Write: 256 billion
15. Make decimal: 23/4,6/52/7
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 1.5b)0.5 and 1.0
c)0.00 and 0.5d)1.5 and 2.0
21. 2.05 lies between 1 and 2F/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:42009012150
700070060105
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)
biggerb) 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 23b) 2.40 ÷ 23c) 2.40 + 23
58. Weight of 40 bricks is 225 pounds. What is theweight of one
brick?
a) 225 x 40b) 225 ÷ 40c) 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) ÷ 9b.100 – 11 ÷ 9c. 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 = 13False/True
4
73. Write in words:
a) 20,001b) 50,000,203
c) 5,000,000,100d) 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)increasesb)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:
1¾,1.7904/51.9
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.311
14106
107. Arrange in descending order (greatest to
lowest):
i)2.3180%7/3
ii)13.88.311.8318.3
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:
13179
10105
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) areab) lengthc) 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 + 12b) 2 x 10 x 12c) 12 + 2 + 10
134. Make days: 5 weeks
a) 5 + 7b) 5 x 7c) 5 + 10
135. Make inches:20
yards
a)20 x 12b)20 x 3c)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 7lbs and Female baby weighs 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)
67.1six
thousands
6,781six ones
23,116six
thousandths
1.006six tenths
234.6six 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. Solve2 + 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 of12.46
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 of251/3
75
169. 3divide1
48
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. Lowestformof25 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. ⅞is 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) 1012
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, 1/5What 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 = 23
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 acheck for $73.42. What should his
balance at theend 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 60B) 60 + 60
C) 3 x 60D) 60 ÷ 2
258) Which expression shows how to find the number of seconds in 2
hours?
A) (60 x 60) x2B) 60 x 60
C) 100 x 60D) (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) ÷ 3B. (105+99+111) ÷ 15
C. (105+99+111) ÷ 3+15D. 3 (105+99+111)
261) Justin has run 4.25 miles a day. How many miles has Justin run in
three weeks?
262) Subtract5⅓ - 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):
11.01212.311.511.911.2
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) Fiveb)Five
tensc)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 $3, how much did Mr. Henry leave for a tip?
a)$ 7.50b) $ 10c) $
6.50d) NH
271) Kevin has 9 red pens and 4 blue pens. What is the ratio of blue
pens to red pens?
a) 9:4b) 4:9c) 13:9d) 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) Divide13/5 divided
2/3
a)39/10b)49/15c)42/5d)5/42
277) What is the ratio of one yard to 2 feet?
a)
2:3b) 3 to 2c) 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 mb) 425 mc) 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) ¼b)
¾c) 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. 1/5of 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) –28b) 28c) –32d) NH
290) Solve (-1 x 6 + 11) – (4 –
11) – (2 – 5 x 1)
a) 21b) –21c) 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 + 2plusb – 1
3-2
303) solve the equation
5x – 34
6plus2equals
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) KennedySchool scored 3 more than twice the number of goals
that EisenhowerSchool scored. If EisenhowerSchool scored 5 goals, which equation
could be used to find the number of goals KennedySchool
scored?
a. (5 x 3) + 2b. (5 x 2) + 3
c. 5 x 2 x 3d. (2 + 5) + 3
315) Prime factorization of 54
a. 2 x 2 x 3 x 3b.
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) 12b)
18c) 6
321) Calculate the value of 30 inch, if the scale on the map is:
(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: 13cmwidth: 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
2,8052,8002,801
2
2,8002,7692,769
3
2,7652,7592,752
4
2,7752,8002,805
(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 3
2
22 6
3
22 32
4
23 3
(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 , 1¼, 1.8,1.9
2
3¾,3¼,2.9,2½
3
2 ,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 in987.103?
(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 (4 104) + (6 100) 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…
648
(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 miles each day for five days. How
many miles did they run in all?
(87) Cinema Ticket Prices:
Adult $ 6.25Student $ 5.00Child
$ 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 thebuilding 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) ….. ⅜(=, greater than, less than)
105) Write from least to greatest:
328_5_
871116
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
1210
115) Joe has $ 6,000 in cash and $ 12,245 in the bank. How much money he
requires more ifhe wants to buy a co-op
costs twenty thousandfive 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 – b4when 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 longand smaller side is 30 cm long. Find the
ratiobetween 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:
SunMonTueWedThuFriSat
-11-9-7-6203
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 isa + 5a square cm
2
Area is6a square cm
3
Area is2a x 3a square cm
4
Area is3a(a + 2) square cm
145) Rectangle: Width is a+2 cm
and length is 3a cm, Perimeter = ?
1
Perimeter is4 + 8a
2
Perimeter is6a + a + 2
3
Perimeter is8a – 4
4
Perimeter is2a + 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 thesize 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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