09 NEL MATH CH01
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
____
____
____
1. A flight is scheduled to be
part of the flight scheduled?
a.
hours
c.
b.
d.
hours
2. Evaluate the expression
c.
b.
d.
3. Jamal spent
hours on his homework and
hours
hours
hours reading a book. How much more time did Jamal spend
reading his book than doing his homework?
a.
hours
c.
b.
d.
hours
4. Mr. Lewis is cutting a board that is
hours
hours
inches long. After his cut, the larger piece is
length of the smaller piece?
a.
inches
c.
b.
d.
inches
hours. For how long is the second
.
a.
inches. What is the
inches
inches
5. Zach left for the movies at 6:30 p.m. He returned at 10:15 p.m. How long was Zach away?
a.
c.
hours
hours
b.
____
hours long. There will be one stop after
hours
d.
hours
6. Which two mixed numbers have a sum of 5 and a difference of
a.
b.
and
and
c.
d.
and
and
?
____
7. A recipe for fruit punch calls for
cups of orange juice,
juice. How many cups of juice are used in the recipe?
a.
c.
cups
b.
____
d.
cups
8. Which sum will be a whole number?
a.
b.
____
cups of grape juice, and
cups of apple
cups
cups
c.
d.
9. Aaron worked
hours Thursday and
hours Friday. He worked
hours Saturday. How many more
hours did Aaron work Saturday than Thursday and Friday combined?
a.
c. 3 hours
hours
b.
d.
hours
____ 10. What is the difference of
hours
?
a.
c.
b.
d.
____ 11. Calculate the product.
.
a.
c.
b.
d.
____ 12. Calculate the quotient.
a.
c.
b.
d.
____ 13. Ramona’s bedroom is rectangular. It is
bedroom?
a.
sq m
metres long and
c.
sq m
metres wide. What is the area of Ramona’s
b.
d.
sq m
sq m
____ 14. Which best describes what happens when a mixed number is divided by a fraction less than 1?
a. The quotient is greater than the dividend and the divisor.
b. The quotient is greater than the dividend but less than the divisor.
c. The quotient is greater than the divisor but less than the dividend.
d. The quotient is less than the divisor and dividend.
____ 15. Tanya ran
kilometres around an oval park. Each lap of the park is
Tanya run?
a.
c.
b.
d.
kilometres. How many laps did
____ 16. Which best describes the product when a mixed number is multiplied by a fraction less than 1?
a. The product is a fraction less than 1.
b. The product is greater than the fraction but less than the mixed number.
c. The product is greater than the fraction and the mixed number.
d. The product is a mixed number.
____ 17. A cube has edges of
inches. What is the volume of the cube?
a.
c.
b.
d.
____ 18. What number makes this equation true?
a.
c.
b.
d.
____ 19. Calculate the product.
a.
c.
b.
d. 26
____ 20. Which expression will result in a quotient less than 1?
a.
c.
b.
d.
____ 21. Evaluate the expression when x = –5 and y = 4.
a. –141
b. –109
c. 109
d. 141
____ 22. Which evaluation will result in a positive integer?
a.
c.
b.
d.
____ 23. Evaluate the expression.
a. –144
b. –36
c. 36
d. 144
____ 24. Evaluate the expression.
a. –19
b. –1
c. 1
d. 5
____ 25. Evaluate the expression when x = –4 and y = –2.
a. –2048
b. –256
c. 256
d. 2048
____ 26. Which expression will result in a positive integer?
a.
c.
b.
d.
____ 27. If a is a positive integer, which best describes the evaluation of
a.
b.
c.
d.
?
The evaluation will be a negative integer.
The evaluation will be 0.
The evaluation will be a positive integer.
The evaluation can be either positive or negative.
____ 28. Which value makes the equation true?
a. –6
b. –4
c. 4
d. 6
____ 29. Assume c is a negative integer. Which best describes the difference of
a. The difference is negative.
b. The difference is 0.
c. The difference is positive.
d. The difference can be negative or positive.
____ 30. Evaluate the expression.
?
a. –3
b. –1
c. 1
d. 3
____ 31. Of which set does 0 not belong?
a. natural numbers
b. whole numbers
____ 32. Rename
c. integers
d. rational numbers
as a decimal.
a. 0.375
b. 0.38
____ 33. How can
a.
c. 0.4125
d. 0.425
be written as a fraction?
c.
b.
d.
____ 34. Which fraction is greater than
, but less than
?
a.
c.
b.
d.
____ 35. Which statement is true?
a. –5 < –3
b. –2.3 > –2.15
____ 36. To which set of numbers does –2.75 belong?
a. natural numbers
b. whole numbers
____ 37. How can
a. –11 ÷ 3
b. –3 ÷ 11
c.
d. –3.21 > -3.2
c. integers
d. rational numbers
be written as the quotient of two integers?
c. –11 ÷ –3
d. –3 ÷ –11
____ 38. A basketball team has won 0.625 of its games. If the team has played 24 games, how many games has the
team won?
a. 14
c. 16
b. 15
d. 18
____ 39. Which sentence is true?
a. All whole numbers are also natural numbers.
b. All integers are also rational numbers.
c. All rational numbers are also integers.
d. All integers are also whole numbers.
____ 40. How can you write
as a decimal?
a. –
b. –0.583
c. –
d. –
____ 41. Calculate the expression.
a.
c.
b.
d.
____ 42. When multiply two numbers, which of the following will result in a negative product?
a. if both factors are negative
b. if one factor is negative and the other is 0
c. if both factors are positive
d. if one factor is negative and the other is positive
____ 43. The temperature outside is –10 °F. What is the temperature in degrees Celsius? Use the formula
to convert to degrees Celsius.
a. –75.2 °C
c.
b.
d.
°C
°C
°C
____ 44. Evaluate the expression.
a.
c.
b.
d.
____ 45. Which will result in a negative quotient?
a. if the dividend is greater than the divisor
b. if the divisor is greater than the dividend
c. if the dividend and divisor have different signs
d. if the dividend and divisor are both negative
____ 46. Evaluate the expression.
–4.5(2.8)(3.6 – 1.9)
a. –34.02
b. –21.42
c. 21.42
d. 34.02
____ 47. At a golf tournament the golfers had a mean score of –2.25. If there were 60 golfers in the tournament, what
was their combined score?
a. –150
c. 135
b. –135
d. 150
____ 48. Evaluate the expression.
a.
c.
b.
d.
____ 49. What number makes this equation true?
a.
c.
b.
d.
____ 50. The low temperature was –25 °C in January. What was the low temperature in degrees Fahrenheit? Use the
formula
a. –102.6 °F
b. –12.6 °F
to convert to degrees Fahrenheit.
c. 8.8 °F
d. 12.6 °F
____ 51. Evaluate
a.
c.
b.
d.
____ 52. Calculate.
a. –9.36
b. –9.2
c. –2.96
d. –2.8
____ 53. Nancy has $200 in a savings account that earns 4% annual interest. If she does not make any deposits or
withdrawals, how much interest will she earn in 3 years? Use the formula
a. $24.00
c. $32.00
b. $24.97
d. $33.97
____ 54. Ethan has a savings account in which the interest is compounded biannually. If you were to figure how much
interest Ethan would earn in 4 years, what would you use for n in the interest formula
.
a. 2
c. 6
b. 4
d. 8
____ 55. Juan has $3,000 in a savings account that earns 5% annual interest. If Juan does not make any deposits or
withdrawals, how much money would he have after 4 years? Use the formula
.
a. $3,600.00
c. $3,750.00
b. $3,646.52
d. $3,828.84
____ 56. Evaluate
when x =
.
a.
c.
b.
d. 3
____ 57. Which best explains what happens when a proper fraction is raised to a positive exponent greater than 1?
a. The product increases but does not ever become greater than 1.
b. The product increases to become a whole number or mixed number.
c. The product decreases to eventually become a negative number.
d. The product decreases but does not ever reach 0.
____ 58. If you put money into an account that earns 10% annual compounded interest, in which year will you have
doubled your money? Use the formula
.
a. year 7
c. year 9
b. year 8
d. year 10
____ 59. Evaluate the expression
a. –29.2
b. –25.36
when x = –3.2.
c. 37.36
d. 56.56
____ 60. Which best explains what happens a negative number is raised to a positive exponent greater than 1?
a. The product always increases.
b. The product can increase or decrease depending upon whether the base is greater than –1
or not.
c. The product can increase or decrease depending upon whether the exponent is odd or
even.
d. The product always decreases.
Short Answer
61. Evaluate the expression.
62. What two mixed numbers have a sum of
and a difference of
?
63. Evaluate the expression.
64. Alice practiced her guitar for
to practice a total of
goal?
hours Monday,
hours Tuesday, and
hours Wednesday. Alice wants
hours by Thursday. How many hours must Alice practice Thursday to achieve her
65. Why is
the same as
?
66. Nora started watching a movie at 2:45 p.m. She watched the movie for
for
hours before stopping the movie
hours to eat dinner. After dinner, Nora finished watching the remaining
hours of the movie. At
what time did the movie end?
67. Why is
the same as
?
68. Evaluate the expression.
69. In yesterday’s game, Pedro pitched
innings. The bullpen pitched
innings. How many more innings
did Pedro pitch than the bullpen?
70. Evaluate the expression.
71. Which number makes this equation true?
72. Calculate the product.
73. Calculate the quotient.
74. What is
?
75. What is the reciprocal of a number?
76. A lap around Natalie’s neighbourhood is
kilometres. Natalie ran
laps before walking the rest. How
many kilometres did Natalie run?
77. The area of a dog crate is
square feet. The length of the crate is
feet. What is the width of the crate?
78. When you divide mixed numbers, how do you know that the quotient will be less than 1?
79. What number makes this equation true?
80. A square basement has a length of
metres. What is the area of the basement?
81. Evaluate the expression.
82. Steve thought that
is equal to 144. Steve is incorrect. What should the solution be?
83. Calculate.
84. Ling calculated
. Ling’s calculation is shown below.
What mistake did Ling make?
85. Assume that b is a positive integer. Is
positive, negative, or 0?
86. What is the first step in evaluating this expression?
87. Which two integer values makes this equation true?
88. Evaluate the expression when x = –3 and y = 4.
89. Jim calculated
this way.
Juanita said that Jim’s solution is incorrect. Who is correct: Jim, Juanita, or neither?
90. Marcus evaluated
this way.
Marcus is incorrect. What should the solution be?
91. What is the opposite of
92. Explain why
?
is a rational number.
93. Which symbol makes this statement true?
94. In Mr. Wong’s class, 14 out of 25 students are girls. What decimal represents the part of Mr. Wong’s class
that are girls?
95. Name three fractions between
and
.
96. How can –0.72 be written as the quotient of two integers?
97. If a is a positive integer and b is a negative integer, what symbol makes this sentence true?
98. Mrs. Garcia gave a math quiz with 15 questions. Gautam answered 13 questions correctly. What decimal
represents the part of the quiz that Gautam answered correctly?
99. Order the fractions from greatest to least?
100. A game show host asks a contestant would he like to play for 0.525 of the money or
of the money. Which
should the contestant choose? Explain why.
101. Nate said that –15.5 ÷ (–3.6) would result in a negative quotient. Melissa said that -15.5 ÷ 3.6 would result in
a negative quotient. Who is correct?
102. What is the sum of
? Write the sum as a decimal.
103. Sherie studies for her math test for
hours. She spent
hours writing a paper. How many hours longer
did Sherie spend studying for math than writing her paper?
104. Evaluate the expression.
105. The profits in thousands of dollars for the Carr Memorial Ice Palace is shown for a 5-month period.
Month
Profits (in $10 000)
March
–6.4
April
–3.8
May
–0.7
June
5.8
July
12.6
What was the mean monthly profits for the period shown?
106. Calculate.
107. When multiplying rational numbers that are ? 0, how can you tell if the product will be negative?
108. Evaluate the expression when x = –4.5 and y = 2.4.
2x – 3y
109. Canadians Victor Davis and Mark Tewksbury have won Olympic Gold Medals in swimming. Davis won the
200-metre breaststroke in 1984 with a time of 2:13.34 (minutes: seconds). Tewksbury won the 100-metre
backstroke in 1992 with a time of 0:53.98. How much longer did Davis’s race last than Tewksbury’s?
110. What value makes the equation true?
111. A radioactive material has a half-life of 1 day. The material decays according to the equation
.
Mass M is measured in grams and time t is measured in days. What is the mass of the material after 3 days?
112. What value makes this equation true?
113. Evaluate the expression.
114. Rajiv has $750 in an account that earns 3% every 6 months. If he does not make any withdrawals or deposits,
how much compounded interest will Rajiv earn in 30 months? Use the formula
. Round to the
nearest cent, if necessary.
115. Mr. Kingsley bought a stock for $2000. Each month for the first 4 months, the stock retained 92% of its value.
What was the stock worth after 4 months? Round to the nearest cent, if necessary.
116. Evaluate the expression
when
.
117. Which has the greatest value?
or
118. Ms. Montoya bought a car for $25 000. The car is expected to retain 90% of its value each year for the first 5
years. How much money will the car be worth in 5 years?
119. Why is it better to receive compounded interest than simple interest?
120. Madison has $800 in an account that earns 0.25% monthly interest. If Madison does not make any deposits or
withdrawals, how much money will she have after 1 year? Use the formula
and round to the
nearest cent.
Problem
121. Maria was given the problem
to solve. Maria said the sum was
. Without solving the problem
Tony said that Maria’s sum could not be correct. Tony is right. Explain how he could know. Then give the
correct sum.
122. Amy has the following schedule at camp:
Activity
Time
Horseback riding
hours
Swimming
hours
Softball
hours
Horseback riding begins at 7:30 a.m. Lunch is after softball. If there is
hour between activities including
from softball to lunch, at what time does Amy start lunch? Explain.
123. Nancy wants to add
. Nancy said that if she adds
to both addends that she will have easier
numbers to add and the same sum. Explain whether Nancy’s method will give the correct sum. If it does not,
explain what Nancy should have done.
124. Mel wants to subtract
. Mel said that if he subtracted
from both numbers, he could then subtract
a mixed number from a whole number and still get the same difference. Explain whether Mel is correct. If
Mel is not correct, explain what he should have done.
125. Ms. Cummings spent
and
hours in her garden this week. She spent
hours Monday,
hours Tuesday,
hours Wednesday. The rest of the time she spent Thursday and Friday. She spent the same amount of
time in each of those two days. How many hours did Ms. Cummings spend in the garden Thursday? Explain
how you found your answer.
126. Why does
?
127. Mrs. Daniels needs to carpet a room that is
feet long and
feet wide. How many square yards of
carpeting will Mrs. Daniels need? (Hint: 1 sq yd = 9 sq ft)
128. Some people divide fractions by first renaming them as decimals. Sometimes it is much easier then dividing
fractions, but why is this not always an efficient method?
129. Lenny said that he could find the product of
by multiplying
and
. Explain why
Lenny’s method does not work. Then find the product.
130. Lisa has a box that is a cube with edges of
edges of
inches. She wants to pack as many cubes as she can that have
inches. Solve and explain how to find how many smaller cubes Lisa can pack in the box.
131. What are the necessary steps to evaluate
? Then evaluate.
132. Roger calculated
. His method is shown below.
Roger is incorrect. Explain what was done incorrectly. Redo the solution, making the necessary corrections.
133. Brian calculated 6(–4) – 4(–4) in the following way.
6(–4) – 4(–4)
= 2(–4)
= –8
Is Brian’s calculation correct? Explain why or why not.
134. Explain the steps needed to evaluate the following expression.
Then evaluate.
135. Explain your steps in evaluating the following expression when x = –6 and y = –2.
Then evaluate.
136. Name three fractions between
and
. Explain how you found your fractions.
137. Kendra said that –3.4 is greater than –3.35. Explain whether or not Kendra is correct.
138. What is
written as a fraction? Explain why or why not
is a rational number.
139. The record low temperatures in degrees Fahrenheit for Canada is –81.4. The record low temperature in
degrees Fahrenheit for Europe is –72.6 and –90 for Asia. Order these temperatures from greatest to least.
Explain how you determined your answer.
140. Explain the difference between integers, whole numbers, natural numbers, and integers.
141. What is the sum of
? Write your sum as a decimal and explain your steps.
142. Mrs. Teece has a double oven in her kitchen. She is going to bake two different dishes. The recipe for one
dish calls for one oven to be set at 425 °F. The other dish needs the oven to be set at 150 °C. What is the
difference in temperatures in degrees Fahrenheit and in degrees Celsius? Explain how you found your
answers. Use these formulas:
and
143. What is the difference of
.
? Explain how you found your difference.
144. Marvin wants to add
by converting the mixed numbers to decimals. Why is this an efficient
way to find the sum? When would Marvin’s way not be efficient? Then find the sum the way Marvin would.
145. The daily temperatures in degrees Celsius at 12 midnight for a period of one week is shown in the table.
S
–15
M
–12
T
–6
W
2
T
–3
F
–10
S
–12
What was the mean temperature in degrees Celsius and in degrees Fahrenheit? Explain how you found your
answer.
146. Todd has his foot on one side of a room. He will walk halfway across the room and then stop. Then he will
walk halfway from there. Todd continues this pattern. By doing this, will Todd’s foot ever reach the wall on
the other side of the room? Explain why or why not.
147. Jill said that
. Explain whether or not Jill is correct.
148. Gabe said that
. Explain whether or not Gabe is correct.
149. Sharon opened an account with $500 and earned 4% annual interest for 5 years. The next year, Andy opened
an account with $500 and earned 5% interest for 4 years. Who has more money?
150. Evaluate
. Explain your steps.