EC-6 Practice Questions; COMPILATION OF
LANGUAGES LATEST VERSION
The teacher provides a word problem for her students:
Quacky Donald's Donuts sells glazed donuts in packages of six and donut holes in
packages of 10. If Quacky Donald's Donuts sold the same number of glazed donuts
and donut holes yesterday, what is the minimum amount of donut holes that
Quacky Donald's Donuts sold?
Based on the world problem above, which of the following concepts is the teacher
most likely to cover in the lesson?
A. Least common factor
B. Greatest common factor
C. Least common multiple
D. Greatest common multiple - //C. Least common multiple
- The least common multiple will find the lowest number that will equally divide
two integers.
- By finding the LCM, students will be able to find the correct answer.
Which answer above is the most appropriate for the following situation?
,Sixteen teachers placed a book order for books to be used in their classrooms. The
bill, totaling $350, is to be shared equally. How much will each teacher pay?
350/16 = ? - //- This situation involves money. We are looking for an answer that
can be "translated" into money.
- You can use this option by taking the exact answer of 21.875 and rounding it to
$21.88.
James has saved $35.25. He wants to save his money to buy a bicycle that costs
$85.00. His brother's bike cost $92.00. If sales tax is 8%, about how much more
must he save to purchase his bike, including tax?
A. $55
B. $60
C. $50
D. $70 - //B. $60
- The math used: 8% is close to 10% sales tax on $85.00, or about $8.50 tax.
- So $85.00 + $8.50 = $93.50. Notice this is an overestimate so James' target will
be a bit more than he actually needs. James needs to save about $93. If he has
saved about $35, he will need an additional $58. ($93 - $35 = $58)
,- Therefore, if rounded up this would be the best choice: $60. When dealing with
money, generally an overestimate is more reasonable.
Bobby is buying gumballs for 7 of his friends. There are 51 gumballs before Bobby
makes his purchase at the store. Bobby wants to give each of his friends the same
amount of gumballs and not have any gumballs left. Which of the following
approaches can Bobby use to find the greatest number of gumballs he can purchase
to give his friends?
A. Divide 51 by 7
B. On a piece of paper draw 51 gum-balls and then circle groups of 7 gum-balls
and then count how many gum-balls are left not circled
C. Create a table where one side of the table represents the number of gum-balls
and the other side represents the number of friends
D. Make a list of the multiples of 7 and then purchase the highest multiple of 7 that
is less than 51 - //D. Make a list of the multiples of 7 and then purchase the highest
multiple of 7 that is less than 51
- This is the best answer as Bobby will know the number of gum-balls to purchase.
In a sequence which begins 25, 23, 21, 19, 17,..., what is the term number for the
term with a value of -11?
A. n = -17
, B. n = 1.5
C. n = 17
D. n = 19 - //D. n = 19
- n = -17 comes from mistaking the common difference as +2 (perhaps by doing
the subtraction of terms in the wrong order, such as 25 - 23).
- However, the presence of a negative sign on an answer that is supposed to be the
term number of the value "-11" in this sequence should be a warning that
something has gone wrong. The solutions for "n" can ONLY be natural/counting
numbers greater than or equal to 1.
- Any fractions/decimals or negative signs indicate an error in the setup or solving
process of such a question.
- n = 1.5 comes from inappropriately combining the 25 with the -2 after seeing the
statement -11 = 25 - 2(n - 1).
- Because the 25 represents an amount of ones and the -2 represents an amount of
"n - 1"s, they are not like terms and so cannot be added.
- However, the presence of a decimal on an answer that is supposed to be the term
number of the value "-11" in this sequence should be a warning that something has
gone wrong.
LANGUAGES LATEST VERSION
The teacher provides a word problem for her students:
Quacky Donald's Donuts sells glazed donuts in packages of six and donut holes in
packages of 10. If Quacky Donald's Donuts sold the same number of glazed donuts
and donut holes yesterday, what is the minimum amount of donut holes that
Quacky Donald's Donuts sold?
Based on the world problem above, which of the following concepts is the teacher
most likely to cover in the lesson?
A. Least common factor
B. Greatest common factor
C. Least common multiple
D. Greatest common multiple - //C. Least common multiple
- The least common multiple will find the lowest number that will equally divide
two integers.
- By finding the LCM, students will be able to find the correct answer.
Which answer above is the most appropriate for the following situation?
,Sixteen teachers placed a book order for books to be used in their classrooms. The
bill, totaling $350, is to be shared equally. How much will each teacher pay?
350/16 = ? - //- This situation involves money. We are looking for an answer that
can be "translated" into money.
- You can use this option by taking the exact answer of 21.875 and rounding it to
$21.88.
James has saved $35.25. He wants to save his money to buy a bicycle that costs
$85.00. His brother's bike cost $92.00. If sales tax is 8%, about how much more
must he save to purchase his bike, including tax?
A. $55
B. $60
C. $50
D. $70 - //B. $60
- The math used: 8% is close to 10% sales tax on $85.00, or about $8.50 tax.
- So $85.00 + $8.50 = $93.50. Notice this is an overestimate so James' target will
be a bit more than he actually needs. James needs to save about $93. If he has
saved about $35, he will need an additional $58. ($93 - $35 = $58)
,- Therefore, if rounded up this would be the best choice: $60. When dealing with
money, generally an overestimate is more reasonable.
Bobby is buying gumballs for 7 of his friends. There are 51 gumballs before Bobby
makes his purchase at the store. Bobby wants to give each of his friends the same
amount of gumballs and not have any gumballs left. Which of the following
approaches can Bobby use to find the greatest number of gumballs he can purchase
to give his friends?
A. Divide 51 by 7
B. On a piece of paper draw 51 gum-balls and then circle groups of 7 gum-balls
and then count how many gum-balls are left not circled
C. Create a table where one side of the table represents the number of gum-balls
and the other side represents the number of friends
D. Make a list of the multiples of 7 and then purchase the highest multiple of 7 that
is less than 51 - //D. Make a list of the multiples of 7 and then purchase the highest
multiple of 7 that is less than 51
- This is the best answer as Bobby will know the number of gum-balls to purchase.
In a sequence which begins 25, 23, 21, 19, 17,..., what is the term number for the
term with a value of -11?
A. n = -17
, B. n = 1.5
C. n = 17
D. n = 19 - //D. n = 19
- n = -17 comes from mistaking the common difference as +2 (perhaps by doing
the subtraction of terms in the wrong order, such as 25 - 23).
- However, the presence of a negative sign on an answer that is supposed to be the
term number of the value "-11" in this sequence should be a warning that
something has gone wrong. The solutions for "n" can ONLY be natural/counting
numbers greater than or equal to 1.
- Any fractions/decimals or negative signs indicate an error in the setup or solving
process of such a question.
- n = 1.5 comes from inappropriately combining the 25 with the -2 after seeing the
statement -11 = 25 - 2(n - 1).
- Because the 25 represents an amount of ones and the -2 represents an amount of
"n - 1"s, they are not like terms and so cannot be added.
- However, the presence of a decimal on an answer that is supposed to be the term
number of the value "-11" in this sequence should be a warning that something has
gone wrong.
