All SAT Math Resources
Example Questions
Example Question #1801 :Psat Mathematics
Which of the following could represent the sum of 3 consecutive odd integers, given thatdis one of the three?
3d– 9
3d– 3
3d+ 4
3d– 6
3d+ 3
3d– 6
If the largest of the three consecutive odd integers isd, then the three numbers are (in descending order):
d,d– 2,d– 4
This is true because consecutive odd integers always differ by two. Adding the three expressions together, we see that the sum is 3d– 6.
Example Question #1 :Even / Odd Numbers
, whereandare distinct positive integers. Which of the following could be values ofand?
0 and 20
10 and 10
–10 and 30
4 and 5
5和15
5和15
Sinceandmust be positive, eliminate choices with negative numbers or zero. Since they must be distinct (different), eliminate choices where. This leaves 4 and 5 (which is the only choice that does not add to 20), and the correct answer, 5 and 15.
Example Question #1 :How To Add Odd Numbers
The sum of three consecutive odd integers is 93. What is the largest of the integers?
连续奇数相差2。如果小est integer is x, then
x + (x + 2) + (x + 4) = 93
3x + 6 = 93
3x = 87
x = 29
The three numbers are 29, 31, and 33, the largest of which is 33.
Example Question #4 :Even / Odd Numbers
Solve:
Add the ones digits:
Since there is no tens digit to carry over, proceed to add the tens digits:
The answer is.
Example Question #1 :Even / Odd Numbers
At a certain high school, everyone must take either Latin or Greek. There aremore students taking Latin than there are students taking Greek. If there arestudents taking Greek, how many total students are there?
If there arestudents taking Greek, then there areorstudents taking Latin. However, the question asks how many total students there are in the school, so you must add these two values together to get:
ortotal students.
Example Question #6 :Even / Odd Numbers
Add:
Add the ones digit.
Since the there is a tens digit, use that as the carryover to the next term.
Add the tens digit including the carryover.
The hundreds digit is 7.
Combine the ones digit of each calculation in order.
The answer is:
Example Question #7 :Even / Odd Numbers
Add:
Add the ones digit.
Carry over the one from the tens digit to the next number.
Add the tens digit with the carry over.
Carry over the one from the tens digit to the hundreds digit.
Add the hundreds digit with the carry over.
The thousands digit has no carry over. The second number has no thousands digit. This means that the thousands is one. Combine all the ones digits from each of the previous calculations.
The correct answer is:
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